(************** Content-type: application/mathematica ************** Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 296914, 9262]*) (*NotebookOutlinePosition[ 297637, 9287]*) (* CellTagsIndexPosition[ 297593, 9283]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["Deformazione non affine di un disco", "Title"], Cell[CellGroupData[{ Cell["\<\ La deformazione \[EGrave] descritta attraverso un campo di spostamento non \ affine. \ \>", "Section"], Cell[BoxData[ \(Clear[L, H]\)], "Input"], Cell["Famiglia di campi di spostamento", "Text"], Cell[BoxData[ \(uf[\[Zeta]1_, \[Zeta]2_] := {\[Zeta]1\ \[Zeta]2\ q[4] + \[Zeta]2\ q[ 3] + \[Zeta]1\ q[2] + q[1], \ \[Zeta]1\ \[Zeta]2\ q[8] + \[Zeta]2\ q[7] + \[Zeta]1\ q[ 6] + q[5]}\)], "Input"], Cell["Selezionato un campo di spostamento", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(qls = {q[4] \[Rule] 0.3, q[3] \[Rule] 0.5, q[2] \[Rule] 0.04, q[1] \[Rule] 0, q[8] \[Rule] \(-0.3\), q[7] \[Rule] \(-0.02\), q[6] \[Rule] 0, q[5] \[Rule] 0} // Rationalize\)], "Input"], Cell[BoxData[ \({q[4] \[Rule] 3\/10, q[3] \[Rule] 1\/2, q[2] \[Rule] 1\/25, q[1] \[Rule] 0, q[8] \[Rule] \(-\(3\/10\)\), q[7] \[Rule] \(-\(1\/50\)\), q[6] \[Rule] 0, q[5] \[Rule] 0}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(qls // N\)], "Input"], Cell[BoxData[ \({q[4.`] \[Rule] 0.3`, q[3.`] \[Rule] 0.5`, q[2.`] \[Rule] 0.04`, q[1.`] \[Rule] 0.`, q[8.`] \[Rule] \(-0.3`\), q[7.`] \[Rule] \(-0.02`\), q[6.`] \[Rule] 0.`, q[5.`] \[Rule] 0.`}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(uf[\[Zeta]1, \[Zeta]2] /. qls // Simplify\)], "Input"], Cell[BoxData[ \({1\/50\ \((25\ \[Zeta]2 + \[Zeta]1\ \((2 + 15\ \[Zeta]2)\))\), \(-\(1\/50\)\)\ \((1 + 15\ \[Zeta]1)\)\ \[Zeta]2}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(uf[\[Zeta]1, \[Zeta]2] /. qls // Expand\)], "Input"], Cell[BoxData[ \({\[Zeta]1\/25 + \[Zeta]2\/2 + \(3\ \[Zeta]1\ \[Zeta]2\)\/10, \(-\(\ \[Zeta]2\/50\)\) - \(3\ \[Zeta]1\ \[Zeta]2\)\/10}\)], "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Deformazione in termini di coordinate ", "Section"], Cell[BoxData[ \(x[\[Zeta]1_, \[Zeta]2_] := {\[Zeta]1, \[Zeta]2} + uf[\[Zeta]1, \[Zeta]2]\)], "Input"], Cell[BoxData[ \(\[Phi][p_] := x[p\[LeftDoubleBracket]1\[RightDoubleBracket], p\[LeftDoubleBracket]2\[RightDoubleBracket]]\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(x[\[Zeta]1, \[Zeta]2]\)], "Input"], Cell[BoxData[ \({\[Zeta]1 + q[1] + \[Zeta]1\ q[2] + \[Zeta]2\ q[3] + \[Zeta]1\ \[Zeta]2\ q[ 4], \[Zeta]2 + q[5] + \[Zeta]1\ q[6] + \[Zeta]2\ q[7] + \[Zeta]1\ \[Zeta]2\ q[ 8]}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(x[\[Zeta]1, \[Zeta]2] /. qls // FullSimplify\)], "Input"], Cell[BoxData[ \({1\/50\ \((52\ \[Zeta]1 + 5\ \((5 + 3\ \[Zeta]1)\)\ \[Zeta]2)\), 1\/50\ \((49 - 15\ \[Zeta]1)\)\ \[Zeta]2}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(x[\[Zeta]1, \[Zeta]2] /. qls // Expand\)], "Input"], Cell[BoxData[ \({\(26\ \[Zeta]1\)\/25 + \[Zeta]2\/2 + \(3\ \[Zeta]1\ \[Zeta]2\)\/10, \ \(49\ \[Zeta]2\)\/50 - \(3\ \[Zeta]1\ \[Zeta]2\)\/10}\)], "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Gradiente della deformazione", "Section"], Cell[BoxData[ \(grad[v_] := Transpose[{D[v, \[Zeta]1], D[v, \[Zeta]2]}]\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(grad[x[\[Zeta]1, \[Zeta]2]] // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {\(1 + q[2] + \[Zeta]2\ q[4]\), \(q[3] + \[Zeta]1\ q[4]\)}, {\(q[6] + \[Zeta]2\ q[8]\), \(1 + q[7] + \[Zeta]1\ q[8]\)} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(grad[x[\[Zeta]1, \[Zeta]2]] /. qls // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {\(26\/25 + \(3\ \[Zeta]2\)\/10\), \(1\/2 + \(3\ \ \[Zeta]1\)\/10\)}, {\(-\(\(3\ \[Zeta]2\)\/10\)\), \(49\/50 - \(3\ \[Zeta]1\)\/10\)} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output"] }, Open ]], Cell[BoxData[ \(mF[\[Zeta]1_, \[Zeta]2_] := Evaluate[grad[x[\[Zeta]1, \[Zeta]2]] /. qls]\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(\(mF[\[Zeta]1, \[Zeta]2] // Simplify\) // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {\(1\/50\ \((52 + 15\ \[Zeta]2)\)\), \(1\/10\ \((5 + 3\ \[Zeta]1)\)\)}, {\(-\(\(3\ \[Zeta]2\)\/10\)\), \(1\/50\ \((49 - 15\ \[Zeta]1)\)\)} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(mF[\[Zeta]1, \[Zeta]2] // Simplify\) // N\) // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {\(0.02`\ \((\(\(52.`\)\(\[InvisibleSpace]\)\) + 15.`\ \[Zeta]2)\)\), \(0.1`\ \((\(\(5.`\)\(\ \[InvisibleSpace]\)\) + 3.`\ \[Zeta]1)\)\)}, {\(\(-0.3`\)\ \[Zeta]2\), \(0.02`\ \((\(\(49.`\)\(\ \[InvisibleSpace]\)\) - 15.`\ \[Zeta]1)\)\)} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Determinante del gradiente della deformazione (per H=1, L=1)", "Section"], Cell[CellGroupData[{ Cell[BoxData[ \(Block[{L = 1, H = 1}, \(Plot3D[ Det[mF[\[Zeta]1, \[Zeta]2]], {\[Zeta]1, \(-\(L\/2\)\), L\/2}, {\[Zeta]2, \(-\(H\/2\)\), H\/2}];\)]\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .81114 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% SurfaceGraphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations -1.55041e-017 1.04977 -0.0679587 1.04977 [ [.02757 .24618 -24 -8.70276 ] [.02757 .24618 0 .29724 ] [.17646 .18758 -29.4972 -9 ] [.17646 .18758 .5028 0 ] [.3345 .12542 -5.5867 -9 ] [.3345 .12542 .4133 0 ] [.50253 .05935 -21.0959 -9 ] [.50253 .05935 2.90415 0 ] [.68156 -0.01098 -14.8837 -9 ] [.68156 -0.01098 3.11632 0 ] [.70096 -0.00478 0 -6.26206 ] [.70096 -0.00478 24 2.73794 ] [.78313 .12104 0 -6.13858 ] [.78313 .12104 30 2.86142 ] [.8565 .23339 0 -6.03127 ] [.8565 .23339 6 2.96873 ] [.9224 .33431 0 -5.93715 ] [.9224 .33431 24 3.06285 ] [.98191 .42546 0 -5.85393 ] [.98191 .42546 18 3.14607 ] [.01705 .30939 -18 -2.77974 ] [.01705 .30939 0 6.22026 ] [.00786 .367 -6 -2.8286 ] [.00786 .367 0 6.1714 ] [-0.00168 .42677 -18 -2.87948 ] [-0.00168 .42677 0 6.12052 ] [-0.01158 .48883 -18 -2.93252 ] [-0.01158 .48883 0 6.06748 ] [ 0 0 0 0 ] [ 1 .81114 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .03716 .25514 m .68874 0 L s .03716 .25514 m .04196 .25962 L s [(-0.5)] .02757 .24618 1 .93395 Mshowa .18558 .19702 m .19014 .20174 L s [(-0.25)] .17646 .18758 .96648 1 Mshowa .34306 .13535 m .34735 .14032 L s [(0)] .3345 .12542 .86223 1 Mshowa .51046 .06981 m .51442 .07504 L s [(0.25)] .50253 .05935 .75799 1 Mshowa .68874 0 m .69233 .00549 L s [(0.5)] .68156 -0.01098 .65374 1 Mshowa .125 Mabswid .06616 .24378 m .06901 .2465 L s .09549 .2323 m .09832 .23504 L s .12517 .22067 m .12797 .22345 L s .1552 .20892 m .15797 .21172 L s .21633 .18498 m .21903 .18784 L s .24744 .1728 m .25012 .17569 L s .27893 .16047 m .28157 .16339 L s .3108 .14799 m .31341 .15094 L s .37572 .12257 m .37826 .12558 L s .40878 .10962 m .41128 .11266 L s .44225 .09652 m .44471 .09959 L s .47614 .08324 m .47856 .08635 L s .54521 .0562 m .54755 .05937 L s .58041 .04242 m .5827 .04562 L s .61605 .02846 m .6183 .03169 L s .65216 .01432 m .65436 .01759 L s .25 Mabswid .68874 0 m .96935 .42924 L s .68874 0 m .68263 .00239 L s [(-0.5)] .70096 -0.00478 -1 .39157 Mshowa .7708 .12553 m .76464 .12778 L s [(-0.25)] .78313 .12104 -1 .36413 Mshowa .84407 .23761 m .83786 .23973 L s [(0)] .8565 .23339 -1 .34028 Mshowa .9099 .3383 m .90365 .34029 L s [(0.25)] .9224 .33431 -1 .31937 Mshowa .96935 .42924 m .96306 .43113 L s [(0.5)] .98191 .42546 -1 .30087 Mshowa .125 Mabswid .70593 .0263 m .70226 .02771 L s .72272 .05198 m .71904 .05338 L s .73912 .07706 m .73543 .07845 L s .75514 .10158 m .75145 .10294 L s .78611 .14895 m .78241 .15028 L s .80108 .17185 m .79737 .17317 L s .81573 .19425 m .81201 .19555 L s .83006 .21617 m .82633 .21745 L s .8578 .2586 m .85407 .25986 L s .87123 .27915 m .8675 .28039 L s .88439 .29928 m .88065 .3005 L s .89727 .31899 m .89353 .3202 L s .92227 .35722 m .91851 .3584 L s .93439 .37576 m .93063 .37693 L s .94627 .39394 m .94251 .3951 L s .95792 .41176 m .95416 .41291 L s .25 Mabswid .03716 .25514 m 0 .48963 L s .02931 .3047 m .03543 .30236 L s [(0.8)] .01705 .30939 1 -0.38228 Mshowa .02016 .36243 m .02631 .36014 L s [(1)] .00786 .367 1 -0.37142 Mshowa .01067 .42232 m .01684 .4201 L s [(1.2)] -0.00168 .42677 1 -0.36012 Mshowa .00081 .48452 m .00701 .48236 L s [(1.4)] -0.01158 .48883 1 -0.34833 Mshowa .125 Mabswid .02705 .31893 m .03073 .31754 L s .02477 .3333 m .02846 .33191 L s .02248 .3478 m .02616 .34642 L s .01782 .37719 m .02151 .37583 L s .01546 .3921 m .01915 .39074 L s .01307 .40714 m .01677 .4058 L s .00824 .43765 m .01194 .43633 L s .00578 .45313 m .0095 .45181 L s .00331 .46875 m .00702 .46744 L s .03154 .29059 m .03522 .28918 L s .03376 .27661 m .03743 .27519 L s .03595 .26276 m .03962 .26133 L s .25 Mabswid .03716 .25514 m 0 .48963 L s 0 .48963 m .39787 .81114 L s .39787 .81114 m .40529 .59895 L s .40529 .59895 m .03716 .25514 L s .68874 0 m .96935 .42924 L s .96935 .42924 m 1 .6535 L s 1 .6535 m .70298 .24544 L s .70298 .24544 m .68874 0 L s .03716 .25514 m 0 .48963 L s 0 .48963 m .70298 .24544 L s .70298 .24544 m .68874 0 L s .68874 0 m .03716 .25514 L s .40529 .59895 m .96935 .42924 L s .96935 .42924 m 1 .6535 L s 1 .6535 m .39787 .81114 L s .39787 .81114 m .40529 .59895 L s 0 0 m 1 0 L 1 .81114 L 0 .81114 L closepath clip newpath .5 Mabswid .696 .701 .85 r .37503 .77776 .39806 .80578 .43711 .78923 .41438 .76088 Metetra .696 .701 .85 r .41438 .76088 .43711 .78923 .47659 .7725 .45417 .74381 Metetra .696 .701 .85 r .45417 .74381 .47659 .7725 .51651 .75559 .49441 .72655 Metetra .696 .701 .85 r .49441 .72655 .51651 .75559 .55688 .73849 .5351 .70909 Metetra .696 .701 .85 r .5351 .70909 .55688 .73849 .5977 .72119 .57625 .69143 Metetra .696 .701 .85 r .57625 .69143 .5977 .72119 .63897 .7037 .61788 .67358 Metetra .696 .701 .85 r .61788 .67358 .63897 .7037 .68072 .68602 .65997 .65552 Metetra .696 .701 .85 r .65997 .65552 .68072 .68602 .72294 .66813 .70256 .63725 Metetra .696 .701 .85 r .70256 .63725 .72294 .66813 .76564 .65003 .74563 .61877 Metetra .696 .701 .85 r .74563 .61877 .76564 .65003 .80884 .63173 .78921 .60007 Metetra .696 .701 .85 r .78921 .60007 .80884 .63173 .85254 .61322 .8333 .58116 Metetra .696 .701 .85 r .8333 .58116 .85254 .61322 .89674 .59448 .87791 .56202 Metetra .696 .701 .85 r .87791 .56202 .89674 .59448 .94147 .57553 .92305 .54265 Metetra .696 .701 .85 r .92305 .54265 .94147 .57553 .98672 .55636 .96873 .52306 Metetra .696 .701 .85 r .35149 .74913 .37503 .77776 .41438 .76088 .39115 .7319 Metetra .696 .701 .85 r .39115 .7319 .41438 .76088 .45417 .74381 .43125 .71447 Metetra .696 .701 .85 r .43125 .71447 .45417 .74381 .49441 .72655 .47181 .69685 Metetra .696 .701 .85 r .47181 .69685 .49441 .72655 .5351 .70909 .51283 .67903 Metetra .696 .701 .85 r .51283 .67903 .5351 .70909 .57625 .69143 .55433 .661 Metetra .696 .701 .85 r .55433 .661 .57625 .69143 .61788 .67358 .5963 .64277 Metetra .696 .701 .85 r .5963 .64277 .61788 .67358 .65997 .65552 .63875 .62432 Metetra .696 .701 .85 r .63875 .62432 .65997 .65552 .70256 .63725 .6817 .60566 Metetra .696 .701 .85 r .6817 .60566 .70256 .63725 .74563 .61877 .72516 .58678 Metetra .696 .701 .85 r .72516 .58678 .74563 .61877 .78921 .60007 .76912 .56767 Metetra .696 .701 .85 r .76912 .56767 .78921 .60007 .8333 .58116 .81361 .54834 Metetra .696 .701 .85 r .81361 .54834 .8333 .58116 .87791 .56202 .85863 .52878 Metetra .696 .701 .85 r .85863 .52878 .87791 .56202 .92305 .54265 .90419 .50899 Metetra .696 .701 .85 r .90419 .50899 .92305 .54265 .96873 .52306 .9503 .48895 Metetra .696 .701 .85 r .32743 .71986 .35149 .74913 .39115 .7319 .36739 .70227 Metetra .696 .701 .85 r .36739 .70227 .39115 .7319 .43125 .71447 .40782 .68448 Metetra .696 .701 .85 r .40782 .68448 .43125 .71447 .47181 .69685 .4487 .66648 Metetra .696 .701 .85 r .4487 .66648 .47181 .69685 .51283 .67903 .49006 .64828 Metetra .696 .701 .85 r .49006 .64828 .51283 .67903 .55433 .661 .53189 .62987 Metetra .696 .701 .85 r .53189 .62987 .55433 .661 .5963 .64277 .57422 .61124 Metetra .696 .701 .85 r .57422 .61124 .5963 .64277 .63875 .62432 .61704 .5924 Metetra .696 .701 .85 r .61704 .5924 .63875 .62432 .6817 .60566 .66036 .57333 Metetra .696 .701 .85 r .66036 .57333 .6817 .60566 .72516 .58678 .7042 .55403 Metetra .696 .701 .85 r .7042 .55403 .72516 .58678 .76912 .56767 .74856 .53451 Metetra .696 .701 .85 r .74856 .53451 .76912 .56767 .81361 .54834 .79346 .51475 Metetra .696 .701 .85 r .79346 .51475 .81361 .54834 .85863 .52878 .83889 .49475 Metetra .696 .701 .85 r .83889 .49475 .85863 .52878 .90419 .50899 .88488 .47451 Metetra .696 .701 .85 r .88488 .47451 .90419 .50899 .9503 .48895 .93143 .45402 Metetra .696 .701 .85 r .30282 .68993 .32743 .71986 .36739 .70227 .3431 .67196 Metetra .696 .701 .85 r .3431 .67196 .36739 .70227 .40782 .68448 .38384 .6538 Metetra .696 .701 .85 r .38384 .6538 .40782 .68448 .4487 .66648 .42506 .63542 Metetra .696 .701 .85 r .42506 .63542 .4487 .66648 .49006 .64828 .46675 .61683 Metetra .696 .701 .85 r .46675 .61683 .49006 .64828 .53189 .62987 .50894 .59801 Metetra .696 .701 .85 r .50894 .59801 .53189 .62987 .57422 .61124 .55162 .57898 Metetra .696 .701 .85 r .55162 .57898 .57422 .61124 .61704 .5924 .59481 .55972 Metetra .696 .701 .85 r .59481 .55972 .61704 .5924 .66036 .57333 .63852 .54023 Metetra .696 .701 .85 r .63852 .54023 .66036 .57333 .7042 .55403 .68274 .52051 Metetra .696 .701 .85 r .68274 .52051 .7042 .55403 .74856 .53451 .72751 .50055 Metetra .696 .701 .85 r .72751 .50055 .74856 .53451 .79346 .51475 .77281 .48035 Metetra .696 .701 .85 r .77281 .48035 .79346 .51475 .83889 .49475 .81868 .4599 Metetra .696 .701 .85 r .81868 .4599 .83889 .49475 .88488 .47451 .8651 .4392 Metetra .696 .701 .85 r .8651 .4392 .88488 .47451 .93143 .45402 .9121 .41824 Metetra .696 .701 .85 r .27765 .65931 .30282 .68993 .3431 .67196 .31825 .64097 Metetra .696 .701 .85 r .31825 .64097 .3431 .67196 .38384 .6538 .35932 .62241 Metetra .696 .701 .85 r .35932 .62241 .38384 .6538 .42506 .63542 .40087 .60363 Metetra .696 .701 .85 r .40087 .60363 .42506 .63542 .46675 .61683 .44291 .58463 Metetra .696 .701 .85 r .44291 .58463 .46675 .61683 .50894 .59801 .48545 .56541 Metetra .696 .701 .85 r .48545 .56541 .50894 .59801 .55162 .57898 .52849 .54596 Metetra .696 .701 .85 r .52849 .54596 .55162 .57898 .59481 .55972 .57206 .52627 Metetra .696 .701 .85 r .57206 .52627 .59481 .55972 .63852 .54023 .61615 .50635 Metetra .696 .701 .85 r .61615 .50635 .63852 .54023 .68274 .52051 .66077 .48618 Metetra .696 .701 .85 r .66077 .48618 .68274 .52051 .72751 .50055 .70594 .46577 Metetra .696 .701 .85 r .70594 .46577 .72751 .50055 .77281 .48035 .75167 .44511 Metetra .696 .701 .85 r .75167 .44511 .77281 .48035 .81868 .4599 .79796 .42419 Metetra .696 .701 .85 r .79796 .42419 .81868 .4599 .8651 .4392 .84483 .40301 Metetra .696 .701 .85 r .84483 .40301 .8651 .4392 .9121 .41824 .89229 .38157 Metetra .696 .701 .85 r .2519 .62799 .27765 .65931 .31825 .64097 .29282 .60925 Metetra .696 .701 .85 r .29282 .60925 .31825 .64097 .35932 .62241 .33422 .59028 Metetra .696 .701 .85 r .33422 .59028 .35932 .62241 .40087 .60363 .37611 .5711 Metetra .696 .701 .85 r .37611 .5711 .40087 .60363 .44291 .58463 .4185 .55168 Metetra .696 .701 .85 r .4185 .55168 .44291 .58463 .48545 .56541 .4614 .53203 Metetra .696 .701 .85 r .4614 .53203 .48545 .56541 .52849 .54596 .50481 .51215 Metetra .696 .701 .85 r .50481 .51215 .52849 .54596 .57206 .52627 .54876 .49202 Metetra .696 .701 .85 r .54876 .49202 .57206 .52627 .61615 .50635 .59324 .47164 Metetra .696 .701 .85 r .59324 .47164 .61615 .50635 .66077 .48618 .63827 .45102 Metetra .696 .701 .85 r .63827 .45102 .66077 .48618 .70594 .46577 .68385 .43014 Metetra .696 .701 .85 r .68385 .43014 .70594 .46577 .75167 .44511 .73 .409 Metetra .696 .701 .85 r .73 .409 .75167 .44511 .79796 .42419 .77673 .3876 Metetra .696 .701 .85 r .77673 .3876 .79796 .42419 .84483 .40301 .82405 .36592 Metetra .696 .701 .85 r .82405 .36592 .84483 .40301 .89229 .38157 .87198 .34397 Metetra .696 .701 .85 r .22555 .59593 .2519 .62799 .29282 .60925 .26679 .57678 Metetra .696 .701 .85 r .26679 .57678 .29282 .60925 .33422 .59028 .30852 .5574 Metetra .696 .701 .85 r .30852 .5574 .33422 .59028 .37611 .5711 .35076 .53779 Metetra .696 .701 .85 r .35076 .53779 .37611 .5711 .4185 .55168 .3935 .51794 Metetra .696 .701 .85 r .3935 .51794 .4185 .55168 .4614 .53203 .43677 .49785 Metetra .696 .701 .85 r .43677 .49785 .4614 .53203 .50481 .51215 .48056 .47751 Metetra .696 .701 .85 r .48056 .47751 .50481 .51215 .54876 .49202 .52489 .45693 Metetra .696 .701 .85 r .52489 .45693 .54876 .49202 .59324 .47164 .56977 .43609 Metetra .696 .701 .85 r .56977 .43609 .59324 .47164 .63827 .45102 .6152 .41499 Metetra .696 .701 .85 r .6152 .41499 .63827 .45102 .68385 .43014 .66121 .39362 Metetra .696 .701 .85 r .66121 .39362 .68385 .43014 .73 .409 .7078 .37199 Metetra .696 .701 .85 r .7078 .37199 .73 .409 .77673 .3876 .75497 .35008 Metetra .696 .701 .85 r .75497 .35008 .77673 .3876 .82405 .36592 .80275 .32789 Metetra .696 .701 .85 r .80275 .32789 .82405 .36592 .87198 .34397 .85115 .30542 Metetra .696 .701 .85 r .19858 .56312 .22555 .59593 .26679 .57678 .24015 .54355 Metetra .696 .701 .85 r .24015 .54355 .26679 .57678 .30852 .5574 .28222 .52373 Metetra .696 .701 .85 r .28222 .52373 .30852 .5574 .35076 .53779 .3248 .50368 Metetra .696 .701 .85 r .3248 .50368 .35076 .53779 .3935 .51794 .3679 .48338 Metetra .696 .701 .85 r .3679 .48338 .3935 .51794 .43677 .49785 .41153 .46284 Metetra .696 .701 .85 r .41153 .46284 .43677 .49785 .48056 .47751 .45571 .44203 Metetra .696 .701 .85 r .45571 .44203 .48056 .47751 .52489 .45693 .50043 .42097 Metetra .696 .701 .85 r .50043 .42097 .52489 .45693 .56977 .43609 .54571 .39965 Metetra .696 .701 .85 r .54571 .39965 .56977 .43609 .6152 .41499 .59156 .37806 Metetra .696 .701 .85 r .59156 .37806 .6152 .41499 .66121 .39362 .638 .35619 Metetra .696 .701 .85 r .638 .35619 .66121 .39362 .7078 .37199 .68503 .33404 Metetra .696 .701 .85 r .68503 .33404 .7078 .37199 .75497 .35008 .73266 .31161 Metetra .696 .701 .85 r .73266 .31161 .75497 .35008 .80275 .32789 .78091 .28889 Metetra .696 .701 .85 r .78091 .28889 .80275 .32789 .85115 .30542 .82978 .26587 Metetra .696 .701 .85 r .17096 .52953 .19858 .56312 .24015 .54355 .21286 .50951 Metetra .696 .701 .85 r .21286 .50951 .24015 .54355 .28222 .52373 .25527 .48925 Metetra .696 .701 .85 r .25527 .48925 .28222 .52373 .3248 .50368 .29821 .46874 Metetra .696 .701 .85 r .29821 .46874 .3248 .50368 .3679 .48338 .34168 .44798 Metetra .696 .701 .85 r .34168 .44798 .3679 .48338 .41153 .46284 .38568 .42696 Metetra .696 .701 .85 r .38568 .42696 .41153 .46284 .45571 .44203 .43024 .40567 Metetra .696 .701 .85 r .43024 .40567 .45571 .44203 .50043 .42097 .47536 .38412 Metetra .696 .701 .85 r .47536 .38412 .50043 .42097 .54571 .39965 .52105 .36229 Metetra .696 .701 .85 r .52105 .36229 .54571 .39965 .59156 .37806 .56733 .34019 Metetra .696 .701 .85 r .56733 .34019 .59156 .37806 .638 .35619 .6142 .3178 Metetra .696 .701 .85 r .6142 .3178 .638 .35619 .68503 .33404 .66167 .29512 Metetra .696 .701 .85 r .66167 .29512 .68503 .33404 .73266 .31161 .70977 .27215 Metetra .696 .701 .85 r .70977 .27215 .73266 .31161 .78091 .28889 .75849 .24887 Metetra .696 .701 .85 r .75849 .24887 .78091 .28889 .82978 .26587 .80786 .22529 Metetra .696 .701 .85 r .14267 .49512 .17096 .52953 .21286 .50951 .18491 .47465 Metetra .696 .701 .85 r .18491 .47465 .21286 .50951 .25527 .48925 .22767 .45392 Metetra .696 .701 .85 r .22767 .45392 .25527 .48925 .29821 .46874 .27096 .43294 Metetra .696 .701 .85 r .27096 .43294 .29821 .46874 .34168 .44798 .3148 .4117 Metetra .696 .701 .85 r .3148 .4117 .34168 .44798 .38568 .42696 .35918 .39018 Metetra .696 .701 .85 r .35918 .39018 .38568 .42696 .43024 .40567 .40413 .3684 Metetra .696 .701 .85 r .40413 .3684 .43024 .40567 .47536 .38412 .44966 .34634 Metetra .696 .701 .85 r .44966 .34634 .47536 .38412 .52105 .36229 .49577 .32399 Metetra .696 .701 .85 r .49577 .32399 .52105 .36229 .56733 .34019 .54247 .30135 Metetra .696 .701 .85 r .54247 .30135 .56733 .34019 .6142 .3178 .58978 .27842 Metetra .696 .701 .85 r .58978 .27842 .6142 .3178 .66167 .29512 .63772 .25519 Metetra .696 .701 .85 r .63772 .25519 .66167 .29512 .70977 .27215 .68628 .23166 Metetra .696 .701 .85 r .68628 .23166 .70977 .27215 .75849 .24887 .73549 .20781 Metetra .696 .701 .85 r .73549 .20781 .75849 .24887 .80786 .22529 .78535 .18364 Metetra .696 .701 .85 r .11369 .45986 .14267 .49512 .18491 .47465 .15627 .43892 Metetra .696 .701 .85 r .15627 .43892 .18491 .47465 .22767 .45392 .19938 .41772 Metetra .696 .701 .85 r .19938 .41772 .22767 .45392 .27096 .43294 .24304 .39625 Metetra .696 .701 .85 r .24304 .39625 .27096 .43294 .3148 .4117 .28724 .3745 Metetra .696 .701 .85 r .28724 .3745 .3148 .4117 .35918 .39018 .33202 .35248 Metetra .696 .701 .85 r .33202 .35248 .35918 .39018 .40413 .3684 .37736 .33018 Metetra .696 .701 .85 r .37736 .33018 .40413 .3684 .44966 .34634 .4233 .30758 Metetra .696 .701 .85 r .4233 .30758 .44966 .34634 .49577 .32399 .46983 .2847 Metetra .696 .701 .85 r .46983 .2847 .49577 .32399 .54247 .30135 .51697 .26151 Metetra .696 .701 .85 r .51697 .26151 .54247 .30135 .58978 .27842 .56473 .23802 Metetra .696 .701 .85 r .56473 .23802 .58978 .27842 .63772 .25519 .61313 .21421 Metetra .696 .701 .85 r .61313 .21421 .63772 .25519 .68628 .23166 .66217 .19009 Metetra .696 .701 .85 r .66217 .19009 .68628 .23166 .73549 .20781 .71187 .16565 Metetra .696 .701 .85 r .71187 .16565 .73549 .20781 .78535 .18364 .76225 .14087 Metetra .696 .701 .85 r .08399 .42374 .11369 .45986 .15627 .43892 .12692 .40231 Metetra .696 .701 .85 r .12692 .40231 .15627 .43892 .19938 .41772 .17038 .3806 Metetra .696 .701 .85 r .17038 .3806 .19938 .41772 .24304 .39625 .2144 .35862 Metetra .696 .701 .85 r .2144 .35862 .24304 .39625 .28724 .3745 .25899 .33636 Metetra .696 .701 .85 r .25899 .33636 .28724 .3745 .33202 .35248 .30415 .31381 Metetra .696 .701 .85 r .30415 .31381 .33202 .35248 .37736 .33018 .3499 .29097 Metetra .696 .701 .85 r .3499 .29097 .37736 .33018 .4233 .30758 .39625 .26783 Metetra .696 .701 .85 r .39625 .26783 .4233 .30758 .46983 .2847 .44321 .24438 Metetra .696 .701 .85 r .44321 .24438 .46983 .2847 .51697 .26151 .4908 .22062 Metetra .696 .701 .85 r .4908 .22062 .51697 .26151 .56473 .23802 .53902 .19654 Metetra .696 .701 .85 r .53902 .19654 .56473 .23802 .61313 .21421 .58788 .17214 Metetra .696 .701 .85 r .58788 .17214 .61313 .21421 .66217 .19009 .63741 .14741 Metetra .696 .701 .85 r .63741 .14741 .66217 .19009 .71187 .16565 .68762 .12235 Metetra .696 .701 .85 r .68762 .12235 .71187 .16565 .76225 .14087 .73851 .09694 Metetra .696 .701 .85 r .05355 .3867 .08399 .42374 .12692 .40231 .09682 .36477 Metetra .696 .701 .85 r .09682 .36477 .12692 .40231 .17038 .3806 .14065 .34255 Metetra .696 .701 .85 r .14065 .34255 .17038 .3806 .2144 .35862 .18504 .32004 Metetra .696 .701 .85 r .18504 .32004 .2144 .35862 .25899 .33636 .23001 .29724 Metetra .696 .701 .85 r .23001 .29724 .25899 .33636 .30415 .31381 .27557 .27414 Metetra .696 .701 .85 r .27557 .27414 .30415 .31381 .3499 .29097 .32173 .25074 Metetra .696 .701 .85 r .32173 .25074 .3499 .29097 .39625 .26783 .3685 .22702 Metetra .696 .701 .85 r .3685 .22702 .39625 .26783 .44321 .24438 .4159 .20299 Metetra .696 .701 .85 r .4159 .20299 .44321 .24438 .4908 .22062 .46393 .17864 Metetra .696 .701 .85 r .46393 .17864 .4908 .22062 .53902 .19654 .51261 .15396 Metetra .696 .701 .85 r .51261 .15396 .53902 .19654 .58788 .17214 .56196 .12894 Metetra .696 .701 .85 r .56196 .12894 .58788 .17214 .63741 .14741 .61198 .10358 Metetra .696 .701 .85 r .61198 .10358 .63741 .14741 .68762 .12235 .6627 .07786 Metetra .696 .701 .85 r .6627 .07786 .68762 .12235 .73851 .09694 .71412 .05179 Metetra .696 .701 .85 r .02233 .34873 .05355 .3867 .09682 .36477 .06595 .32626 Metetra .696 .701 .85 r .06595 .32626 .09682 .36477 .14065 .34255 .11014 .30351 Metetra .696 .701 .85 r .11014 .30351 .14065 .34255 .18504 .32004 .15491 .28045 Metetra .696 .701 .85 r .15491 .28045 .18504 .32004 .23001 .29724 .20027 .25709 Metetra .696 .701 .85 r .20027 .25709 .23001 .29724 .27557 .27414 .24623 .23343 Metetra .696 .701 .85 r .24623 .23343 .27557 .27414 .32173 .25074 .2928 .20944 Metetra .696 .701 .85 r .2928 .20944 .32173 .25074 .3685 .22702 .34 .18513 Metetra .696 .701 .85 r .34 .18513 .3685 .22702 .4159 .20299 .38784 .1605 Metetra .696 .701 .85 r .38784 .1605 .4159 .20299 .46393 .17864 .43633 .13553 Metetra .696 .701 .85 r .43633 .13553 .46393 .17864 .51261 .15396 .48549 .11021 Metetra .696 .701 .85 r .48549 .11021 .51261 .15396 .56196 .12894 .53533 .08455 Metetra .696 .701 .85 r .53533 .08455 .56196 .12894 .61198 .10358 .58585 .05853 Metetra .696 .701 .85 r .58585 .05853 .61198 .10358 .6627 .07786 .63709 .03214 Metetra .696 .701 .85 r .63709 .03214 .6627 .07786 .71412 .05179 .68905 .00539 Metetra 0 g .25 Mabswid .68874 0 m .96935 .42924 L s .96935 .42924 m 1 .6535 L s 1 .6535 m .70298 .24544 L s .70298 .24544 m .68874 0 L s .03716 .25514 m 0 .48963 L s 0 .48963 m .70298 .24544 L s .70298 .24544 m .68874 0 L s .68874 0 m .03716 .25514 L s .03716 .25514 m .68874 0 L s .03716 .25514 m .04196 .25962 L s [(-0.5)] .02757 .24618 1 .93395 Mshowa .18558 .19702 m .19014 .20174 L s [(-0.25)] .17646 .18758 .96648 1 Mshowa .34306 .13535 m .34735 .14032 L s [(0)] .3345 .12542 .86223 1 Mshowa .51046 .06981 m .51442 .07504 L s [(0.25)] .50253 .05935 .75799 1 Mshowa .68874 0 m .69233 .00549 L s [(0.5)] .68156 -0.01098 .65374 1 Mshowa .125 Mabswid .06616 .24378 m .06901 .2465 L s .09549 .2323 m .09832 .23504 L s .12517 .22067 m .12797 .22345 L s .1552 .20892 m .15797 .21172 L s .21633 .18498 m .21903 .18784 L s .24744 .1728 m .25012 .17569 L s .27893 .16047 m .28157 .16339 L s .3108 .14799 m .31341 .15094 L s .37572 .12257 m .37826 .12558 L s .40878 .10962 m .41128 .11266 L s .44225 .09652 m .44471 .09959 L s .47614 .08324 m .47856 .08635 L s .54521 .0562 m .54755 .05937 L s .58041 .04242 m .5827 .04562 L s .61605 .02846 m .6183 .03169 L s .65216 .01432 m .65436 .01759 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 233.563}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgF]/00`00F]]Jf`05F]/20007 F]/00`00Ooh0001BOoh009EooP<000]ooP03001Jfe[K00AJf`03001Jfe[K00iJf`03001Jfe[K009J f`800003F]/005[K00IJf`03001ooP00059ooP00Tgon0`002gon0P001e[K00<005[KF]/03U[K00<0 05[KF]/00P000e[K00<005[KF]/01U[K00<007on0000DGon002AOoh20003Ooh00`00OoiooP06Ooh2 000:F]/00`00F]]Jf`0>F]/20005F]/00`00F]]Jf`06F]/01000Ooh00000D7on002>Ooh3000Ooh20004Ooh20003Ooh40003 Ooh2000ZOoh006AooP04001ooWon000DOoh3000@Ooh2000>F]/00`00F]]Jf`0:F]/20002F]/00`00 F]]Jf`0=F]/01@00F]]Jfe[K000015[K0P001U[K00@007onOoh000aooP04001ooWon0008Ooh00`00 OoiooP03Ooh01000OoiooP00:Gon001UOoh2000BOoh4000@Ooh200000e[K001Jf`0>F]/00`00F]]J f`07F]/20004F]/00`00F]]Jf`0=F]/01@00F]]Jfe[K00000U[K0P0025[K00@007onOoh000aooP04 001ooWon0009Ooh00`00OoiooP05Ooh00`00OoiooP0WOoh007MooP80019ooP8000=Jf`03001Jfe[K 00eJf`03001Jfe[K00EJf`8000MJf`03001Jfe[K00eJf`03001Jfe[K00<000]Jf`04001ooWon0005 Ooh40002Ooh01000OoiooP002Won00<007onOoh00Won0P00:Won001dOoh3000COoh00`00F]]Jf`04 F]/00`00F]]Jf`0=F]/00`00F]]Jf`02F]/20009F]/00`00F]]Jf`0=F]/01000F]/000003E[K00D0 07onOoiooP0000YooP04001ooWon0008Ooh01000OoiooP000gon00<007onOoh0:Gon001bOoh3000C Ooh20007F]/00`00F]]Jf`0=F]/00`00F]]Jf`02000F]/0 0`00F]]Jf`08F]/20003F]/00`00F]]Jf`0>F]/00`00F]]Jf`02F]/20009F]/00`00F]]Jf`0:F]/0 0`00F]]Jf`02000>F]/00`00OoiooP02Ooh00`00OoiooP10Ooh002EooP@0009ooP04001ooWon000: Ooh00`00OoiooP02Ooh2000FOoh2000JOoh20003F]/00`00F]]Jf`0>F]/00`00F]]Jf`05F]/20006 F]/00`00F]]Jf`0=F]/00`00F]]Jf`02000;F]/00`00F]]Jf`0:F]/300000e[K001Jf`0>F]/00`00 OoiooP02Ooh00`00OoiooP0oOoh002]ooP04001ooWon0008Ooh01000OoiooP000gon00<007onOoh0 4Won0`006Won0P001U[K00<005[KF]/03U[K00<005[KF]/00U[K0P002E[K00<005[KF]/03E[K0P00 3U[K00<005[KF]/025[K0P000e[K00<005[KF]/03E[K00<007onOoh00Won0P00@7on000/Ooh2000: Ooh20004Ooh3000?Ooh300000gon001ooP0HOoh20009F]/00`00F]]Jf`0=F]/00`00F]]Jf`02000; F]/00`00F]]Jf`0;F]/200000e[K001Jf`0=F]/00`00F]]Jf`07F]/00`00F]/00004F]/00`00F]]J f`0=F]/00`00OoiooP02Ooh00`00OoiooP0nOoh004iooP8001aooP8000aJf`03001Jfe[K00eJf`80 00iJf`03001Jfe[K00QJf`8000=Jf`03001Jfe[K00eJf`03001Jfe[K00AJf`80009Jf`03001Jfe[K 009Jf`03001Jfe[K00eJf`03001ooWon00=ooP03001ooWon03eooP00Bgon0`0077on0P003U[K00<0 05[KF]/02e[K0P0000=Jf`00F]/03U[K00<005[KF]/01E[K0P001U[K00<005[KF]/03E[K00@005[K F]]Jf`8000AJf`03001Jfe[K00=Jf`03001Jfe[K00aJf`8000AooP03001ooWon03eooP00BGon0P00 00=ooP00Ooh06Won0P0000=Jf`00F]/03U[K00<005[KF]/025[K0P000e[K00<005[KF]/03U[K00<0 05[KF]/00U[K0P0025[K00<005[KF]/03E[K00@005[K000000IJf`03001Jfe[K00=Jf`03001Jfe[K 00YJf`80009Jf`03001ooWon009ooP03001ooWon03aooP00AWon0`007Gon0P000e[K00<005[KF]/0 3U[K00<005[KF]/01E[K0P001U[K00<005[KF]/03E[K00<005[KF]/00P002e[K00<005[KF]/035[K 0P0025[K00<005[KF]/015[K00<005[KF]/01e[K0P0015[K00<007onOoh00gon00<007onOoh0>gon 0013Ooh3000OOoh00`00F]]Jf`04F]/00`00F]]Jf`0>F]/00`00F]]Jf`02F]/20008F]/00`00F]]J f`0=F]/3000=F]/00`00F]]Jf`0:F]/20002F]/00`00F]]Jf`05F]/00`00F]]Jf`04F]/00`00F]]J f`05F]/20007F]/00`00OoiooP02Ooh2000lOoh0045ooP<001mooP8000QJf`03001Jfe[K00eJf`03 001Jfe[K008000]Jf`03001Jfe[K00YJf`80009Jf`03001Jfe[K00aJf`03001Jfe[K00MJf`8000AJ f`03001Jfe[K00EJf`03001Jfe[K00EJf`03001Jfe[K009Jf`8000UJf`03001ooWon00=ooP03001o oWon03YooP00?gon0P000gon00<007onOoh06Won0P002e[K00<005[KF]/03E[K0P003U[K00<005[K F]/01e[K0P0015[K00<005[KF]/035[K00<005[KF]/01E[K0P001e[K00<005[KF]/015[K00<005[K F]/01E[K00<005[KF]/00P0035[K00<007onOoh00gon00<007onOoh0>Gon000lOoh3000POoh2000= F]/00`00F]]Jf`0;F]/200000e[K001Jf`0=F]/00`00F]]Jf`05F]/20007F]/00`00F]]Jf`0F]/00`00OoiooP03Ooh0 0`00OoiooP0iOoh003UooP@0025ooP03001Jfe[K00iJf`03001Jfe[K00QJf`8000=Jf`03001Jfe[K 00eJf`03001Jfe[K009Jf`8000UJf`03001Jfe[K00aJf`03001Jfe[K008000aJf`03001Jfe[K00=J f`03001Jfe[K00AJf`800003F]/005[K00iJf`03001ooWon00=ooP03001ooWon03QooP002gon0P00 17on0P0017on0P007Won0P008gon0P0000=Jf`00F]/03e[K00<005[KF]/01E[K0P001U[K00<005[K F]/035[K00<005[KF]/00P0035[K00<005[KF]/035[K0P003e[K00<005[KF]/00U[K00<005[KF]/0 0U[K0P000e[K00<005[KF]/03E[K00<007onOoh00gon0P00>Gon000:Ooh01000OoiooP0027on00@0 07onOoh001YooP<002=ooP8000AJf`03001Jfe[K00iJf`03001Jfe[K009Jf`8000QJf`03001Jfe[K 00eJf`8000iJf`03001Jfe[K00YJf`800003F]/005[K00iJf`03001Jfe[K00=Jf`04001Jf`000006 F]/00`00F]]Jf`0=F]/00`00OoiooP02Ooh20008Ooh2000_Ooh000YooP04001ooWon000;Ooh00`00 OoiooP0FOoh200000gon001ooP0QOoh20006F]/00`00F]]Jf`0>F]/00`00F]]Jf`02000;F]/00`00 F]]Jf`0:F]/200000e[K001Jf`0>F]/00`00F]]Jf`07F]/20003F]/00`00F]]Jf`0>F]/00`00F]]J f`02F]/20008F]/00`00F]]Jf`0=F]/00`00OoiooP04Ooh00`00OoiooP04Ooh01000OoiooP00;Won 0004Ooh40002Ooh01000OoiooP002Gon0P005Won0`0097on0P002E[K00<005[KF]/03U[K0P003U[K 00<005[KF]/01e[K0P000e[K00<005[KF]/03E[K00<005[KF]/01E[K0P001U[K00<005[KF]/03E[K 00<005[KF]/00`002U[K00<005[KF]/035[K0P001Gon00<007onOoh017on00@007onOoh002iooP00 2Won00@007onOoh000UooP03001ooWon01=ooP8002EooP8000aJf`03001Jfe[K00]Jf`800003F]/0 05[K00eJf`03001Jfe[K00EJf`8000IJf`03001Jfe[K00eJf`03001Jfe[K009Jf`8000UJf`03001J fe[K00eJf`80009Jf`03001Jfe[K00QJf`03001Jfe[K00YJf`800003F]/007on00EooP03001ooWon 00=ooP04001ooWon000^Ooh000]ooP8000YooP<0011ooP@002EooP03001Jfe[K00eJf`03001Jfe[K 00QJf`8000=Jf`03001Jfe[K00eJf`03001Jfe[K009Jf`8000UJf`03001Jfe[K00aJf`03001Jfe[K 008000]Jf`03001Jfe[K00]Jf`800005F]/005[KF]/0000;F]/00`00F]]Jf`07F]/20004F]/00`00 OoiooP04Ooh00`00OoiooP02Ooh01000OoiooP00;Won000WOoh3000WOoh200000e[K001Jf`0>F]/0 0`00F]]Jf`05F]/20006F]/00`00F]]Jf`0 F]/00`00F]]Jf`08F]/20003F]/01000F]]Jf`002e[K00<005[KF]/01E[K0P001U[K00<007onOoh0 0gon0`0017on0P00;gon000UOoh2000XOoh20003F]/00`00F]]Jf`0=F]/00`00F]]Jf`03F]/20009 F]/00`00F]]Jf`0F]/00`00F]]Jf`0:F]/200000e[K001Jf`0>F]/00`00F]]Jf`05F]/2 0006F]/00`00F]/0000F]/00`00F]]Jf`04F]/20006F]/00`00F]]Jf`0=F]/00`00F]]Jf`02F]/20008F]/0 0`00F]]Jf`0=F]/30007F]/30004F]/20009F]/20002F]/00`00F]]Jf`0F]/00`00F]]Jf`07F]/20004F]/0 0`00F]/00002000;F]/00`00F]/00002F]/30007F]/00`00F]]Jf`0F]/00`00F]]Jf`02000:F]/00`00F]]Jf`0=F]/00`00OoiooP05Ooh0 0`00OoiooP0_Ooh001eooP03001ooWon009ooP03001ooWon01]ooP8000MJf`03001Jfe[K00eJf`03 001Jfe[K008000]Jf`03001Jfe[K00]Jf`800003F]/005[K00aJf`03001Jfe[K00QJf`8000=Jf`03 001Jfe[K00eJf`03001Jfe[K009Jf`8000EJf`80009Jf`03001Jfe[K00eJf`<000aJf`03001Jfe[K 00YJf`<000QooP03001ooWon02iooP007Gon0P0017on00<007onOoh067on0P002U[K00<005[KF]/0 3E[K0P003U[K00<005[KF]/025[K0P000e[K00<005[KF]/035[K00<005[KF]/01E[K0P001U[K00<0 05[KF]/035[K00<005[KF]/00P0015[K0`001E[K00<005[KF]/02U[K0P0000AJf`00F]/000aJf`03 001Jfe[K00MJf`8000=Jf`03001ooWon00EooP03001ooWon02iooP007Gon00<007onOoh017on00<0 07onOoh05Gon0P003E[K00<005[KF]/02U[K0P0000=Jf`00F]/03U[K00<005[KF]/01E[K0P001U[K 00<005[KF]/035[K00<005[KF]/00U[K0P0025[K00<005[KF]/03E[K0P000e[K0`002E[K00<005[K F]/01e[K0P000e[K00@005[KF]/000]Jf`03001Jfe[K00EJf`8000EJf`03001ooWon00IooP8002io oP007Gon00<007onOoh01Gon0P004gon0P0000=Jf`00F]/03E[K00<005[KF]/01e[K0P000e[K00<0 05[KF]/03U[K00<005[KF]/00U[K0P0025[K00<005[KF]/035[K00<005[KF]/00P002e[K00<005[K F]/02U[K0P0000=Jf`0000000P0035[K00<005[KF]/01E[K0P001U[K00@005[KF]/000]Jf`03001J fe[K009Jf`8000QJf`03001ooWon00IooP03001ooWon02aooP007Gon00<007onOoh01gon00<007on Ooh03Won0P000e[K00<005[KF]/03E[K00<005[KF]/015[K0P001U[K00<005[KF]/03E[K00<005[K F]/00P002e[K00<005[KF]/02e[K0`003U[K00<005[KF]/01e[K0P0000AJf`000000011Jf`03001J fe[K009Jf`8000QJf`04001Jfe[K000;F]/00`00F]]Jf`02000:F]/00`00OoiooP06Ooh00`00Ooio oP0/Ooh001aooP8000YooP03001ooWon00]ooP8000IJf`03001Jfe[K00aJf`03001Jfe[K009Jf`80 00UJf`03001Jfe[K00eJf`8000iJf`03001Jfe[K00QJf`80009Jf`03001Jfe[K00aJf`03001Jfe[K 00EJf`D000=Jf`03001Jfe[K00eJf`03001Jfe[K008000]Jf`04001Jfe[K000:F]/3000=F]/00`00 OoiooP06Ooh00`00OoiooP0[Ooh001aooP03001ooWon00YooP03001ooWon00QooP8000UJf`03001J fe[K00aJf`04001Jf`00000;F]/00`00F]]Jf`0;F]/200000e[K001Jf`0=F]/00`00F]]Jf`06F]/2 0005F]/00`00F]]Jf`0F]/01000F]]J f`001e[K0P000U[K00<005[KF]/02e[K00<007onOoh01gon00<007onOoh0:Won000LOoh00`00Ooio oP0;Ooh00`00OoiooP05Ooh2000;F]/00`00F]]Jf`0F]/00`00F]]Jf`08F]/20003F]/0 0`00F]]Jf`0=F]/00`00F]]Jf`02F]/30007F]/00`00F]]Jf`0F]/00`00F]]Jf`09F]/20002F]/00`00F]]Jf`0< F]/00`00F]]Jf`05F]/20006F]/00`00F]]Jf`0F]/00`00F]]Jf`08F]/20003F]/00`00F]]Jf`0=F]/01@00F]]Jf`00F]/00`001e[K00<005[K F]/02e[K00<007onOoh01Won0P00:gon000LOoh00`00OoiooP0=Ooh01P00Ooh00000F]/000mJf`03 001Jfe[K00IJf`8000AJf`03001Jfe[K00eJf`03001Jfe[K009Jf`8000UJf`03001Jfe[K00aJf`80 00iJf`03001Jfe[K00MJf`<0009Jf`03001Jfe[K00eJf`03001Jfe[K00EJf`8000EJf`03001Jfe[K 00eJf`03001Jfe[K008000YJf`03001Jfe[K00]Jf`8000UooP03001ooWon02QooP002Gon0P0017on 0P0017on0P001Gon00<007onOoh03Gon0P0015[K00<005[KF]/03E[K00<005[KF]/00U[K0`001e[K 00<005[KF]/035[K00<005[KF]/00P002e[K00<005[KF]/02U[K0P0000=Jf`00F]/03U[K00<005[K F]/00e[K100015[K00<005[KF]/03U[K00<005[KF]/00U[K0P0025[K00<005[KF]/035[K0`000U[K 00<005[KF]/025[K00<005[KF]/025[K0P000U[K00<007onOoh01Won00<007onOoh0:7on0008Ooh0 1000OoiooP0027on00@007onOoh000=ooP03001ooWon00aooP8000IJf`03001Jfe[K00eJf`03001J fe[K008000]Jf`03001Jfe[K00aJf`8000iJf`03001Jfe[K00MJf`8000=Jf`03001Jfe[K00eJf`03 001Jfe[K00D000MJf`03001Jfe[K00eJf`03001Jfe[K008000YJf`03001Jfe[K00YJf`800003F]/0 05[K009Jf`03001Jfe[K00QJf`03001Jfe[K00IJf`8000AJf`03001ooWon00MooP03001ooWon02Mo oP0027on00@007onOoh000QooP04001ooWon0003Ooh2000;Ooh20009F]/00`00F]]Jf`0=F]/2000= F]/00`00F]]Jf`0:F]/200000e[K001Jf`0>F]/00`00F]]Jf`04F]/20006F]/00`00F]]Jf`0=F]/2 00000e[K0000000:F]/00`00F]]Jf`0=F]/2000=F]/00`00F]]Jf`07F]/20004F]/01@00F]]Jfe[K 00002U[K00<005[KF]/00U[K0`001e[K00<007onOoh01gon00<007onOoh01Gon0P0017on0P000gon 10000gon0P003Gon0008Ooh01000OoiooP002Gon0P0017on00<007onOoh027on0P0035[K00<005[K F]/02U[K0P0000=Jf`00F]/03E[K00<005[KF]/01e[K0P000e[K00<005[KF]/03U[K00@005[KF]]J f`8000UJf`03001Jfe[K00UJf`<00003F]/0000000aJf`03001Jfe[K00]Jf`800003F]/005[K00aJ f`03001Jfe[K00EJf`8000IJf`03001Jfe[K009Jf`03001Jfe[K00MJf`03001Jfe[K008000YJf`03 001ooWon00IooP8000IooP04001ooWon0008Ooh00`00OoiooP03Ooh01000OoiooP0037on0008Ooh0 1000OoiooP0027on00@007onOoh000=ooP03001ooWon00MooP03001Jfe[K00eJf`03001Jfe[K00MJ f`8000AJf`03001Jfe[K00aJf`03001Jfe[K00AJf`8000IJf`03001Jfe[K00eJf`04001Jf`00000; F]/00`00F]]Jf`06F]/30002F]/200000e[K001Jf`0F]/00`00F]]Jf`04F]/20006F]/00`00F]]Jf`0= F]/01000F]]Jfe[K0P002E[K00<005[KF]/03E[K00<005[KF]/035[K00<005[KF]/00U[K0`000e[K 0P000e[K00<005[KF]/035[K00<005[KF]/01E[K0P001U[K00<005[KF]/02e[K00<005[KF]/00P00 2e[K00<005[KF]/00U[K00<005[KF]/01E[K0P0000=Jf`00F]/03E[K00<007onOoh01gon00<007on Ooh00Won00@007onOoh000YooP03001ooWon009ooP8000eooP006gon00<007onOoh00gon0P0015[K 00<005[KF]/035[K00<005[KF]/00U[K0P002E[K00<005[KF]/035[K00@005[K000000]Jf`03001J fe[K00]Jf`800003F]/005[K00eJf`@000AJf`8000IJf`03001Jfe[K00aJf`03001Jfe[K009Jf`80 00QJf`03001Jfe[K00aJf`8000iJf`03001Jfe[K009Jf`03001Jfe[K009Jf`8000=Jf`03001Jfe[K 00aJf`03001ooWon00MooP03001ooWon009ooP04001ooWon0008Ooh01000OoiooP000gon00<007on Ooh037on000JOoh00`00OoiooP02Ooh20006F]/00`00F]]Jf`0=F]/01000F]/0000035[K00<005[K F]/02e[K0P003U[K00<005[KF]/025[K0P000e[K00<005[KF]/02U[K100015[K0P0025[K00<005[K F]/035[K00<005[KF]/00P002e[K00<005[KF]/02E[K0P0000=Jf`00F]/03E[K00<005[KF]/00e[K 00@005[K000000IJf`03001Jfe[K00aJf`03001ooWon00MooP03001ooWon009ooP8000YooP8000Ao oP<000aooP006Won00<007onOoh00P002E[K00<005[KF]/03E[K00<005[KF]/03E[K00<005[KF]/0 25[K0P000U[K00<005[KF]/035[K00<005[KF]/01E[K0P001U[K00<005[KF]/01U[K0`000e[K00<0 05[KF]/00P002e[K00<005[KF]/02e[K0`003U[K00<005[KF]/01U[K0P000e[K00<005[KF]/03E[K 00<005[KF]/00U[K0P0025[K00<005[KF]/035[K00<007onOoh01Won00<007on000097on000JOoh3 000F]/00`00F]]Jf`05F]/20005F]/00`00F]]Jf`0< F]/00`00F]]Jf`02F]/20009F]/00`00F]]Jf`02F]/30007F]/2000>F]/00`00F]]Jf`08F]/20002 F]/00`00F]]Jf`0 F]/00`00F]]Jf`07F]/20003F]/00`00F]]Jf`0=F]/00`00F]]Jf`02F]/30007F]/00`00F]]Jf`0; F]/00`00F]]Jf`02000;F]/00`00F]]Jf`04F]/00`00F]]Jf`03F]/200000e[K001Jf`0F]/00`00F]]Jf`07 F]/20003F]/00`00F]]Jf`0F]/00`00OoiooP09Ooh00`00 OoiooP0HOoh001MooP8000iooP03001Jfe[K00IJf`8000AJf`03001Jfe[K00aJf`03001Jfe[K00=J f`D000AJf`03001Jfe[K00aJf`04001Jf`00000;F]/00`00F]]Jf`0:F]/200000e[K001Jf`0=F]/0 0`00F]]Jf`05F]/20004F]/00`00F]]Jf`0=F]/00`00F]]Jf`02000:F]/00`00F]]Jf`0;F]/3000= F]/00`00F]]Jf`05F]/01000F]/000000e[K00<005[KF]/035[K00<007onOoh02Gon00<007onOoh0 1Won0P0017on0P0017on0P000gon000GOoh00`00OoiooP0>Ooh00`00F]]Jf`04F]/00`00F]]Jf`04 F]/00`00F]]Jf`0=F]/00`00F]]Jf`040008F]/00`00F]]Jf`0;F]/2000>F]/00`00F]]Jf`07F]/2 0004F]/00`00F]]Jf`0F]/00`00F]]Jf`05F]/20004F]/00`00F]]Jf`0F]/00`00F]]Jf`05F]/2 0004F]/00`00F]]Jf`0F]/00`00OoiooP0@Ooh002QooP03001o oWon01YooP03001Jfe[K00EJf`8000AJf`03001Jfe[K00]Jf`03001Jfe[K00<000QJf`03001Jfe[K 00]Jf`<000eJf`03001Jfe[K00IJf`<0009Jf`03001Jfe[K00]Jf`03001Jfe[K00=Jf`8000MJf`03 001Jfe[K00YJf`03001Jfe[K008000YJf`03001Jfe[K00QJf`80009Jf`03001Jfe[K00YJf`03001J fe[K00IJf`8000=Jf`8000eJf`03001ooWon011ooP00:Gon00<007onOoh06Gon00<005[KF]/00e[K 0P001e[K00<005[KF]/02e[K0P0035[K00<005[KF]/025[K0P000U[K00<005[KF]/02e[K00<005[K F]/015[K0P001E[K00<005[KF]/035[K00<005[KF]/00P002E[K00<005[KF]/02U[K0`003E[K00<0 05[KF]/01E[K0P0015[K00<005[KF]/02e[K00<005[KF]/00U[K0`001U[K00<005[KF]/02e[K0P00 4Gon000ZOoh00`00OoiooP0IOoh00`00F]]Jf`020009F]/00`00F]]Jf`09F]/200000e[K001Jf`0< F]/00`00F]]Jf`05F]/20004F]/00`00F]]Jf`0Ooh003IooP8001IooP03001Jfe[K00]Jf`03001Jfe[K00EJf`8000AJ f`03001Jfe[K00aJf`03001Jfe[K008000UJf`03001Jfe[K00YJf`<000eJf`03001Jfe[K00EJf`80 00=Jf`03001Jfe[K00aJf`03001Jfe[K009Jf`8000MJf`03001Jfe[K00YJf`<000aJf`03001Jfe[K 00MJf`80015ooP03001ooWon00EooP03001ooWon00iooP00>7on00<007onOoh057on00<005[KF]/0 2e[K00<005[KF]/00U[K0P001e[K00<005[KF]/02e[K0`0035[K00<005[KF]/01U[K0`000U[K00<0 05[KF]/02e[K00<005[KF]/00e[K0P001U[K00<005[KF]/02e[K00<005[KF]/00P002E[K00<005[K F]/025[K0P000U[K00<005[KF]/02U[K00<005[KF]/01E[K0P0057on00<007onOoh017on00<007on Ooh03Won000iOoh00`00OoiooP0DOoh00`00F]]Jf`0:F]/00`00F]]Jf`02000:F]/00`00F]]Jf`08 F]/20002F]/00`00F]]Jf`0:F]/00`00F]]Jf`04F]/20005F]/00`00F]]Jf`0Ooh003YooP03001ooWon01=ooP03001Jfe[K 00YJf`<000eJf`03001Jfe[K00EJf`8000AJf`03001Jfe[K00]Jf`03001Jfe[K00<000QJf`03001J fe[K00]Jf`<000aJf`03001Jfe[K00IJf`<0009Jf`03001Jfe[K00]Jf`03001Jfe[K009Jf`8000MJ f`03001Jfe[K00YJf`03001Jfe[K008001UooP03001ooWon00=ooP03001ooWon00iooP00>gon0P00 57on00<005[KF]/01e[K0P000U[K00<005[KF]/02e[K00<005[KF]/00e[K0P001e[K00<005[KF]/0 2e[K0P0035[K00<005[KF]/025[K0P000U[K00<005[KF]/02U[K00<005[KF]/015[K0P001E[K00<0 05[KF]/02e[K00<005[KF]/00P002E[K00<005[KF]/02U[K0`0077on00<007onOoh00gon00<007on Ooh03Gon000mOoh00`00OoiooP0BOoh00`00F]]Jf`03F]/30005F]/00`00F]]Jf`0;F]/00`00F]]J f`02000:F]/00`00F]]Jf`08F]/200000e[K001Jf`0Ooh004EooP03001ooWon011ooP03001Jfe[K 00MJf`80009Jf`03001Jfe[K00YJf`03001Jfe[K00=Jf`8000MJf`03001Jfe[K00]Jf`8000]Jf`03 001Jfe[K00QJf`80009Jf`03001Jfe[K00]Jf`03001Jfe[K00=Jf`8000EJf`03001Jfe[K00]Jf`03 001Jfe[K008003IooP8000iooP00AWon0P004Gon00<005[KF]/00e[K0`001E[K00<005[KF]/02U[K 00<005[KF]/00P002U[K00<005[KF]/025[K0P0000=Jf`00F]/02e[K00<005[KF]/01E[K0P0015[K 00<005[KF]/02e[K00<005[KF]/00`0025[K00<005[KF]/02U[K0`00>7on0P003Won0018Ooh00`00 OoiooP0?Ooh00`00F]]Jf`020009F]/00`00F]]Jf`09F]/3000=F]/00`00F]]Jf`05F]/20003F]/0 0`00F]]Jf`0;F]/00`00F]]Jf`02F]/20007F]/00`00F]]Jf`0;F]/2000Ooh004UooP03001ooWon00mooP8000]Jf`03001Jfe[K00MJf`80009Jf`03001Jfe[K 00]Jf`03001Jfe[K00=Jf`8000IJf`03001Jfe[K00YJf`03001Jfe[K008000YJf`03001Jfe[K00QJ f`800003F]/005[K00aJf`03001Jfe[K00=Jf`8003YooP@0011ooP00BWon00<007onOoh03gon00<0 05[KF]/02U[K00<005[KF]/00e[K0`0015[K00<005[KF]/035[K00<005[KF]/00P002E[K00<005[K F]/02E[K0`003E[K00<005[KF]/01E[K0P000e[K00<005[KF]/02e[K00<005[KF]/00`00>7on1000 57on001;Ooh2000?Ooh00`00F]]Jf`0;F]/00`00F]]Jf`020008F]/00`00F]]Jf`0;F]/3000"], ImageRangeCache->{{{0, 287}, {232.563, 0}} -> {-0.0789049, -0.00955797, \ 0.00377051, 0.00377051}}] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Block[{L = 1, H = 1}, Det[mF[L\/2, \(-\(H\/2\)\)]]]\)], "Input"], Cell[BoxData[ \(1603\/2500\)], "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Dilatazioni principali e direzioni principali", "Section"], Cell[BoxData[ \(mC[\[Zeta]1_, \[Zeta]2_] := Transpose[mF[\[Zeta]1, \[Zeta]2]] . mF[\[Zeta]1, \[Zeta]2]\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(\(mC[\[Zeta]1, \[Zeta]2] // Simplify\) // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {\(\(1352 + 780\ \[Zeta]2 + 225\ \[Zeta]2\^2\)\/1250\), \(1\/250\ \((130 - 36\ \[Zeta]2 + \[Zeta]1\ \((78 + 45\ \[Zeta]2)\))\)\)}, {\(1\/250\ \((130 - 36\ \[Zeta]2 + \[Zeta]1\ \((78 + 45\ \[Zeta]2)\))\)\), \(\(1513 - 360\ \[Zeta]1 + 225\ \[Zeta]1\^2\)\/1250\)} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(\(mC[\[Zeta]1, \[Zeta]2] // Simplify\) // N\) // Factor\) // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {\(0.18000000000000002`\ \((\(\(6.0088888888888885`\)\(\ \[InvisibleSpace]\)\) + 3.466666666666666`\ \[Zeta]2 + 0.9999999999999999`\ \[Zeta]2\^2)\)\), \(0.18`\ \ \((\(\(2.888888888888889`\)\(\[InvisibleSpace]\)\) + 1.7333333333333332`\ \[Zeta]1 - 0.8`\ \[Zeta]2 + 0.9999999999999999`\ \[Zeta]1\ \[Zeta]2)\)\)}, {\(0.18`\ \((\(\(2.888888888888889`\)\(\[InvisibleSpace]\)\) + 1.7333333333333332`\ \[Zeta]1 - 0.8`\ \[Zeta]2 + 0.9999999999999999`\ \[Zeta]1\ \[Zeta]2)\)\), \ \(0.18000000000000002`\ \((\(\(6.724444444444444`\)\(\[InvisibleSpace]\)\) - 1.5999999999999999`\ \[Zeta]1 + 0.9999999999999999`\ \[Zeta]1\^2)\)\)} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(eta[\[Zeta]1_, \[Zeta]2_] = Eigenvalues[mC[\[Zeta]1, \[Zeta]2]] // Simplify\)], "Input"], Cell[BoxData[ \({\(2865 - 360\ \[Zeta]1 + 225\ \[Zeta]1\^2 + 780\ \[Zeta]2 + 225\ \ \[Zeta]2\^2 - \@\(\(-4\)\ \((1274 - 390\ \[Zeta]1 + 555\ \[Zeta]2)\)\^2 + 225\ \ \((191 - 24\ \[Zeta]1 + 15\ \[Zeta]1\^2 + 52\ \[Zeta]2 + 15\ \[Zeta]2\^2)\)\ \^2\)\)\/2500, \(2865 - 360\ \[Zeta]1 + 225\ \[Zeta]1\^2 + 780\ \[Zeta]2 + \ 225\ \[Zeta]2\^2 + \@\(\(-4\)\ \((1274 - 390\ \[Zeta]1 + 555\ \[Zeta]2)\)\^2 \ + 225\ \((191 - 24\ \[Zeta]1 + 15\ \[Zeta]1\^2 + 52\ \[Zeta]2 + 15\ \ \[Zeta]2\^2)\)\^2\)\)\/2500}\)], "Output"] }, Open ]], Cell[BoxData[ \(mP1[\[Zeta]1_, \[Zeta]2_] := \((mC[\[Zeta]1, \[Zeta]2] - \ \(eta[\[Zeta]1, \[Zeta]2]\)\[LeftDoubleBracket]2\[RightDoubleBracket]\ \ IdentityMatrix[2])\) 1\/\(\(eta[\[Zeta]1, \[Zeta]2]\)\[LeftDoubleBracket]1\ \[RightDoubleBracket] - \(eta[\[Zeta]1, \[Zeta]2]\)\[LeftDoubleBracket]2\ \[RightDoubleBracket]\)\)], "Input"], Cell[BoxData[ \(mP2[\[Zeta]1_, \[Zeta]2_] := \((mC[\[Zeta]1, \[Zeta]2] - \ \(eta[\[Zeta]1, \[Zeta]2]\)\[LeftDoubleBracket]1\[RightDoubleBracket]\ \ IdentityMatrix[2])\) 1\/\(\(eta[\[Zeta]1, \[Zeta]2]\)\[LeftDoubleBracket]2\ \[RightDoubleBracket] - \(eta[\[Zeta]1, \[Zeta]2]\)\[LeftDoubleBracket]1\ \[RightDoubleBracket]\)\)], "Input"], Cell[BoxData[ \(lambda[\[Zeta]1_, \[Zeta]2_] := \@eta[\[Zeta]1, \[Zeta]2]\)], "Input"], Cell[BoxData[ \(mR[\[Zeta]1_, \[Zeta]2_] := mF[\[Zeta]1, \[Zeta]2] . \((mP1[\[Zeta]1, \[Zeta]2]\/\(lambda[\[Zeta]1, \ \[Zeta]2]\)\[LeftDoubleBracket]1\[RightDoubleBracket] + mP2[\[Zeta]1, \[Zeta]2]\/\(lambda[\[Zeta]1, \[Zeta]2]\)\ \[LeftDoubleBracket]2\[RightDoubleBracket])\)\)], "Input"] }, Closed]], Cell[CellGroupData[{ Cell["Valutazioni in alcuni punti (fissato L = H = 1)", "Section"], Cell[CellGroupData[{ Cell["Punto centrale", "Subsection"], Cell[BoxData[ \(\(L = 1;\)\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(\[Zeta]1x = 0; \[Zeta]2x = 0;\)], "Input"], Cell[BoxData[ \(General::"spell1" \(\(:\)\(\ \)\) "Possible spelling error: new symbol name \"\!\(\[Zeta]1x\)\" is \ similar to existing symbol \"\!\(\[Zeta]1\)\"."\)], "Message"], Cell[BoxData[ \(General::"spell1" \(\(:\)\(\ \)\) "Possible spelling error: new symbol name \"\!\(\[Zeta]2x\)\" is \ similar to existing symbol \"\!\(\[Zeta]2\)\"."\)], "Message"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(lambda[\[Zeta]1x, \[Zeta]2x] // N\)], "Input"], Cell[BoxData[ \({0.7886870919172817`, 1.2922742243978487`}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(mP1[\[Zeta]1x, \[Zeta]2x] // Simplify\) // N\) // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"0.5614535867603555`", \(-0.49620908564262245`\)}, {\(-0.49620908564262245`\), "0.43854641323964444`"} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(mP2[\[Zeta]1x, \[Zeta]2x] // Simplify\) // N\) // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"0.43854641323964444`", "0.49620908564262245`"}, {"0.49620908564262245`", "0.5614535867603555`"} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(mR[\[Zeta]1x, \[Zeta]2x] // Simplify\) // N\) // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"0.9707052140579538`", "0.24027356783612722`"}, {\(-0.24027356783612727`\), "0.9707052140579538`"} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(ArcTan[\(mR[\[Zeta]1x, \[Zeta]2x]\)\[LeftDoubleBracket]1, 1\ \[RightDoubleBracket], \(mR[\[Zeta]1x, \[Zeta]2x]\)\[LeftDoubleBracket]2, 1\ \[RightDoubleBracket]]\/\[Pi] // N\)], "Input"], Cell[BoxData[ \(\(-0.0772371506345586`\)\)], "Output"] }, Open ]], Cell[BoxData[ \(Clear[L]\)], "Input"] }, Closed]], Cell[CellGroupData[{ Cell["Punto A (in basso al centro)", "Subsection"], Cell[BoxData[ \(\(L = 1;\)\)], "Input"], Cell[BoxData[ \(\[Zeta]1x = 0; \[Zeta]2x = \(-\(L\/2\)\);\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(lambda[\[Zeta]1x, \[Zeta]2x] // N\)], "Input"], Cell[BoxData[ \({0.6231354436748309`, 1.2793366323357476`}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(mP1[\[Zeta]1x, \[Zeta]2x] // Simplify\) // N\) // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"0.658522345826474`", \(-0.4742052992888964`\)}, {\(-0.4742052992888964`\), "0.34147765417352605`"} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(mP2[\[Zeta]1x, \[Zeta]2x] // Simplify\) // N\) // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"0.34147765417352605`", "0.4742052992888964`"}, {"0.4742052992888964`", "0.658522345826474`"} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(mR[\[Zeta]1x, \[Zeta]2x] // Simplify\) // N\) // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"0.9829316411946127`", "0.18397116279043557`"}, {\(-0.18397116279043557`\), "0.9829316411946127`"} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(ArcTan[\(mR[\[Zeta]1x, \[Zeta]2x]\)\[LeftDoubleBracket]1, 1\ \[RightDoubleBracket], \(mR[\[Zeta]1x, \[Zeta]2x]\)\[LeftDoubleBracket]2, 1\ \[RightDoubleBracket]]\/\[Pi] // N\)], "Input"], Cell[BoxData[ \(\(-0.05889530479806727`\)\)], "Output"] }, Open ]], Cell[BoxData[ \(Clear[L]\)], "Input"] }, Closed]], Cell[CellGroupData[{ Cell["Punto B (a destra al centro)", "Subsection"], Cell[BoxData[ \(\(L = 1;\)\)], "Input"], Cell[BoxData[ \(\[Zeta]1x = L\/2; \[Zeta]2x = 0;\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(lambda[\[Zeta]1x, \[Zeta]2x] // N\)], "Input"], Cell[BoxData[ \({0.6483331021623071`, 1.3314143564798298`}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(mP1[\[Zeta]1x, \[Zeta]2x] // Simplify\) // N\) // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"0.5110180339703851`", \(-0.499878588186599`\)}, {\(-0.499878588186599`\), "0.4889819660296149`"} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(mP2[\[Zeta]1x, \[Zeta]2x] // Simplify\) // N\) // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"0.4889819660296149`", "0.499878588186599`"}, {"0.499878588186599`", "0.5110180339703851`"} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(mR[\[Zeta]1x, \[Zeta]2x] // Simplify\) // N\) // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"0.9445649200542933`", "0.32832470483170606`"}, {\(-0.32832470483170617`\), "0.9445649200542932`"} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(ArcTan[\(mR[\[Zeta]1x, \[Zeta]2x]\)\[LeftDoubleBracket]1, 1\ \[RightDoubleBracket], \(mR[\[Zeta]1x, \[Zeta]2x]\)\[LeftDoubleBracket]2, 1\ \[RightDoubleBracket]]\/\[Pi] // N\)], "Input"], Cell[BoxData[ \(\(-0.10648401889158783`\)\)], "Output"] }, Open ]], Cell[BoxData[ \(Clear[L]\)], "Input"] }, Closed]], Cell[CellGroupData[{ Cell["Punto C (in alto al centro)", "Subsection"], Cell[BoxData[ \(\(L = 1;\)\)], "Input"], Cell[BoxData[ \(\[Zeta]1x = 0; \[Zeta]2x = L\/2;\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(lambda[\[Zeta]1x, \[Zeta]2x] // N\)], "Input"], Cell[BoxData[ \({0.9285463672045573`, 1.3367129998437284`}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(mP1[\[Zeta]1x, \[Zeta]2x] // Simplify\) // N\) // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"0.3765957232762518`", \(-0.4845321294674777`\)}, {\(-0.4845321294674777`\), "0.6234042767237482`"} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(mP2[\[Zeta]1x, \[Zeta]2x] // Simplify\) // N\) // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"0.6234042767237482`", "0.4845321294674777`"}, {"0.4845321294674777`", "0.3765957232762518`"} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(mR[\[Zeta]1x, \[Zeta]2x] // Simplify\) // N\) // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"0.9579476997495383`", "0.2869428593719815`"}, {\(-0.28694285937198155`\), "0.9579476997495382`"} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(ArcTan[\(mR[\[Zeta]1x, \[Zeta]2x]\)\[LeftDoubleBracket]1, 1\ \[RightDoubleBracket], \(mR[\[Zeta]1x, \[Zeta]2x]\)\[LeftDoubleBracket]2, 1\ \[RightDoubleBracket]]\/\[Pi] // N\)], "Input"], Cell[BoxData[ \(\(-0.09263898716771535`\)\)], "Output"] }, Open ]], Cell[BoxData[ \(Clear[L]\)], "Input"] }, Closed]], Cell[CellGroupData[{ Cell["Punto D (a sinistra al centro)", "Subsection"], Cell[BoxData[ \(\(L = 1;\)\)], "Input"], Cell[BoxData[ \(\[Zeta]1x = \(-\(L\/2\)\); \[Zeta]2x = 0;\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(lambda[\[Zeta]1x, \[Zeta]2x] // N\)], "Input"], Cell[BoxData[ \({0.9183291827716041`, 1.2797154027634572`}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(mP1[\[Zeta]1x, \[Zeta]2x] // Simplify\) // N\) // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"0.7000395234439416`", \(-0.45824031802136395`\)}, {\(-0.45824031802136395`\), "0.2999604765560584`"} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(mP2[\[Zeta]1x, \[Zeta]2x] // Simplify\) // N\) // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"0.2999604765560584`", "0.45824031802136395`"}, {"0.45824031802136395`", "0.7000395234439416`"} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(mR[\[Zeta]1x, \[Zeta]2x] // Simplify\) // N\) // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"0.9872411207126471`", "0.15923243882462043`"}, {\(-0.15923243882462051`\), "0.9872411207126471`"} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(ArcTan[\(mR[\[Zeta]1x, \[Zeta]2x]\)\[LeftDoubleBracket]1, 1\ \[RightDoubleBracket], \(mR[\[Zeta]1x, \[Zeta]2x]\)\[LeftDoubleBracket]2, 1\ \[RightDoubleBracket]]\/\[Pi] // N\)], "Input"], Cell[BoxData[ \(\(-0.05090192803178729`\)\)], "Output"] }, Open ]], Cell[BoxData[ \(Clear[L]\)], "Input"] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Rapporto tra le aree del rettangolo", "Section"], Cell[BoxData[ \(Clear[L, H]\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(\(\[Integral]\_\(-\(H\/2\)\)\%\(H\/2\)\(\[Integral]\_\(-\(L\/2\)\)\%\(L\ \/2\)Det[mF[\[Zeta]1, \[Zeta]2]] \[DifferentialD]\[Zeta]1 \[DifferentialD]\ \[Zeta]2\)\)\/\(L\ H\)\)], "Input"], Cell[BoxData[ \(637\/625\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(% // N\)], "Input"], Cell[BoxData[ \(1.0192`\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["Rapporto tra le aree (un quarto a destra in basso)", "Subsection"], Cell[CellGroupData[{ Cell[BoxData[ \(Block[{L = 1, H = 1}, \(\[Integral]\_\(-\(H\/2\)\)\%0\(\[Integral]\_0\%\(L\/2\)\ Det[mF[\[Zeta]1, \[Zeta]2]] \[DifferentialD]\[Zeta]1 \[DifferentialD]\[Zeta]2\ \)\)\/\(\(L\ H\)\/4\)] // N\)], "Input"], Cell[BoxData[ \(0.8302`\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Block[{L = 1, H = 2}, \(\[Integral]\_\(-\(H\/2\)\)\%0\(\[Integral]\_0\%\(L\/2\)\ Det[mF[\[Zeta]1, \[Zeta]2]] \[DifferentialD]\[Zeta]1 \[DifferentialD]\[Zeta]2\ \)\)\/\(\(L\ H\)\/4\)] // N\)], "Input"], Cell[BoxData[ \(0.7192`\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Block[{L = 8, H = 2}, \(\[Integral]\_\(-\(H\/2\)\)\%0\(\[Integral]\_0\%\(L\/2\)\ Det[mF[\[Zeta]1, \[Zeta]2]] \[DifferentialD]\[Zeta]1 \[DifferentialD]\[Zeta]2\ \)\)\/\(\(L\ H\)\/4\)] // N\)], "Input"], Cell[BoxData[ \(0.1732`\)], "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Rapporto tra le aree (un sedicesimo a destra in basso)", "Subsection"], Cell[CellGroupData[{ Cell[BoxData[ \(Block[{L = 1, H = 1}, \(\[Integral]\_\(-\(H\/2\)\)\%\(-\(H\/4\)\)\(\[Integral]\_\(\ L\/4\)\%\(L\/2\)Det[mF[\[Zeta]1, \[Zeta]2]] \[DifferentialD]\[Zeta]1 \ \[DifferentialD]\[Zeta]2\)\)\/\(\(L\ H\)\/16\)] // N\)], "Input"], Cell[BoxData[ \(0.7357`\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Block[{L = 4, H = 1}, \(\[Integral]\_\(-\(H\/2\)\)\%\(-\(H\/4\)\)\(\[Integral]\_\(\ L\/4\)\%\(L\/2\)Det[mF[\[Zeta]1, \[Zeta]2]] \[DifferentialD]\[Zeta]1 \ \[DifferentialD]\[Zeta]2\)\)\/\(\(L\ H\)\/16\)] // N\)], "Input"], Cell[BoxData[ \(0.3847`\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Block[{L = 8, H = 1}, \(\[Integral]\_\(-\(H\/2\)\)\%\(-\(H\/4\)\)\(\[Integral]\_\(\ L\/4\)\%\(L\/2\)Det[mF[\[Zeta]1, \[Zeta]2]] \[DifferentialD]\[Zeta]1 \ \[DifferentialD]\[Zeta]2\)\)\/\(\(L\ H\)\/16\)] // N\)], "Input"], Cell[BoxData[ \(\(-0.0833`\)\)], "Output"] }, Open ]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Rapporto tra le aree del disco", "Section"], Cell[BoxData[ \(Clear[L]\)], "Input"], Cell[BoxData[ \(Lr := L\/2\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(\[Integral]\_\(-Lr\)\%Lr\(\[Integral]\_\(-\@\(Lr\^2 - \[Zeta]1\^2\)\)\%\ \(\@\(Lr\^2 - \[Zeta]1\^2\)\)Det[ mF[\[Zeta]1, \[Zeta]2]] \[DifferentialD]\[Zeta]2 \[DifferentialD]\ \[Zeta]1\)\)], "Input"], Cell[BoxData[ \(\(637\ L\^2\ \[Pi]\ Sign[L]\)\/\(2500\ \@Sign[L]\^2\)\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Simplify[\[Integral]\_\(-Lr\)\%Lr\(\[Integral]\_\(-\@\(Lr\^2 - \[Zeta]1\ \^2\)\)\%\(\@\(Lr\^2 - \[Zeta]1\^2\)\)1 \[DifferentialD]\[Zeta]2 \ \[DifferentialD]\[Zeta]1\), L > 0]\)], "Input"], Cell[BoxData[ \(\(L\^2\ \[Pi]\)\/4\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Simplify[\(\[Integral]\_\(-Lr\)\%Lr\(\[Integral]\_\(-\@\(Lr\^2 - \ \[Zeta]1\^2\)\)\%\(\@\(Lr\^2 - \[Zeta]1\^2\)\)Det[mF[\[Zeta]1, \[Zeta]2]] \ \[DifferentialD]\[Zeta]2 \[DifferentialD]\[Zeta]1\)\)\/\(\(\[Pi]\)\(\ \ \)\(Lr\^2\)\(\ \)\), L > 0]\)], "Input"], Cell[BoxData[ \(637\/625\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(% // N\)], "Input"], Cell[BoxData[ \(1.0192`\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["Rapporto tra le aree (un quarto a destra in basso)", "Subsection"], Cell[CellGroupData[{ Cell[BoxData[ \(Simplify[\(\[Integral]\_\(\(\ \)\(0\)\)\%Lr\((\[Integral]\_\(-\@\(Lr\^2 \ - \[Zeta]1\^2\)\)\%0 Det[mF[\[Zeta]1, \[Zeta]2]] \[DifferentialD]\[Zeta]2)\) \ \[DifferentialD]\[Zeta]1\)\/\(\(\(\[Pi]\ Lr\^2\)\/4\)\(\ \)\), L > 0]\)], "Input"], Cell[BoxData[ \(\(7\ \((\(-45\)\ L + 91\ \[Pi])\)\)\/\(625\ \[Pi]\)\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(% /. L \[Rule] 1 // N\)], "Input"], Cell[BoxData[ \(0.8587718173633695`\)], "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["Rapporto tra le aree (un quarto a destra in alto)", "Subsection"], Cell[CellGroupData[{ Cell[BoxData[ \(Simplify[\(\[Integral]\_\(\(\ \ \)\(0\)\)\%Lr\((\[Integral]\_0\%\(\@\(Lr\^2 - \[Zeta]1\^2\)\)Det[mF[\[Zeta]1, \ \[Zeta]2]] \[DifferentialD]\[Zeta]2)\) \ \[DifferentialD]\[Zeta]1\)\/\(\(\(\[Pi]\ Lr\^2\)\/4\)\(\ \)\), L > 0]\)], "Input"], Cell[BoxData[ \(\(55\ L + 637\ \[Pi]\)\/\(625\ \[Pi]\)\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(% /. L \[Rule] 1 // N\)], "Input"], Cell[BoxData[ \(1.0472112699841736`\)], "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["Rapporto tra le aree (un quarto a sinistra in basso)", "Subsection"], Cell[CellGroupData[{ Cell[BoxData[ \(Simplify[\(\[Integral]\_\(\(\ \ \)\(-Lr\)\)\%0\((\[Integral]\_\(-\@\(Lr\^2 - \[Zeta]1\^2\)\)\%0 \ Det[mF[\[Zeta]1, \[Zeta]2]] \[DifferentialD]\[Zeta]2)\) \[DifferentialD]\ \[Zeta]1\)\/\(\(\(\[Pi]\ Lr\^2\)\/4\)\(\ \)\), L > 0]\)], "Input"], Cell[BoxData[ \(\(\(-55\)\ L + 637\ \[Pi]\)\/\(625\ \[Pi]\)\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(% /. L \[Rule] 1 // N\)], "Input"], Cell[BoxData[ \(0.9911887300158264`\)], "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["Rapporto tra le aree (un quarto a sinistra in alto)", "Subsection"], Cell[CellGroupData[{ Cell[BoxData[ \(Simplify[\(\[Integral]\_\(\(\ \)\(-Lr\)\)\%0\((\[Integral]\_0\%\(\@\(Lr\ \^2 - \[Zeta]1\^2\)\)Det[mF[\[Zeta]1, \[Zeta]2]] \[DifferentialD]\[Zeta]2)\) \ \[DifferentialD]\[Zeta]1\)\/\(\(\(\[Pi]\ Lr\^2\)\/4\)\(\ \)\), L > 0]\)], "Input"], Cell[BoxData[ \(\(7\ \((45\ L + 91\ \[Pi])\)\)\/\(625\ \[Pi]\)\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(% /. L \[Rule] 1 // N\)], "Input"], Cell[BoxData[ \(1.1796281826366306`\)], "Output"] }, Open ]] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Visualizzazione della deformazione", "Section"], Cell[BoxData[ \(\(SetOptions[Plot, ImageSize -> 288];\)\)], "Input"], Cell[BoxData[ \(\(SetOptions[Plot3D, ImageSize -> 288];\)\)], "Input"], Cell[BoxData[ \(\(SetOptions[ParametricPlot, ImageSize -> 288];\)\)], "Input"], Cell[BoxData[{ \(\(e1 = {1, 0};\)\), "\n", \(\(e2 = {0, 1};\)\)}], "Input"], Cell[BoxData[ \(\(xo = {0, 0};\)\)], "Input"], Cell[BoxData[ \(diag[h_] := xo + h \((L\ e1 + H\ e2)\)\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(diag[h]\)], "Input"], Cell[BoxData[ \({h\ L, h\ H}\)], "Output"] }, Open ]], Cell[BoxData[{ \(\(lato1[h_] := {L\ h, \(-\(H\/2\)\)};\)\), "\n", \(\(lato2[h_] := {L\ h, H\/2};\)\), "\n", \(\(lato3[h_] := {\(-\(L\/2\)\), H\ h};\)\), "\n", \(\(lato4[h_] := {L\/2, H\ h};\)\)}], "Input"], Cell[BoxData[ \(rettangolo := {lato1[h], lato2[h], lato3[h], lato4[h]}\)], "Input"], Cell[BoxData[ \(lineaO[h_, s_] := lato1[h] + {0, s}\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(lineaV[h_, s_] := lato3[h] + {s, 0}\)], "Input"], Cell[BoxData[ \(General::"spell1" \(\(:\)\(\ \)\) "Possible spelling error: new symbol name \"\!\(lineaV\)\" is similar \ to existing symbol \"\!\(lineaO\)\"."\)], "Message"] }, Open ]], Cell[BoxData[ \(grigliaO := {lineaO[h, H\/5], lineaO[h, 2 H\/5], lineaO[h, 3 H\/5], lineaO[h, 4 H\/5]}\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(grigliaV := {lineaV[h, L\/5], lineaV[h, 2 L\/5], lineaV[h, 3 L\/5], lineaV[h, 4 L\/5]}\)], "Input"], Cell[BoxData[ \(General::"spell1" \(\(:\)\(\ \)\) "Possible spelling error: new symbol name \"\!\(grigliaV\)\" is similar \ to existing symbol \"\!\(grigliaO\)\"."\)], "Message"] }, Open ]], Cell[BoxData[ \(normalize[v_] := v\/\@\(v . v\)\)], "Input"], Cell[BoxData[ \(dirpr1[h_] := normalize[Evaluate[N[mP1[0, 0] . e1]]] h\)], "Input"], Cell[BoxData[ \(dirpr2[h_] := normalize[Evaluate[N[mP2[0, 0] . e1]]] h\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \({dirpr1[h], dirpr2[h]}\)], "Input"], Cell[BoxData[ \({{0.7493020664327277`\ h, \(-0.6622283694011034`\)\ h}, \ {0.6622283694011035`\ h, 0.7493020664327276`\ h}}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(Block[{L = 1, H = 1, shape = rettangolo}, ParametricPlot[ Evaluate[ Join[shape, Map[\[Phi], shape]] /. qls, {h, \(-\(1\/2\)\), 1\/2}, AspectRatio \[Rule] Automatic, Axes \[Rule] False, ImageSize -> 144, PlotStyle \[Rule] AbsoluteThickness[1]]]];\)\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .73377 %%ImageSize: 144 105.662 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.453618 0.618429 0.366883 0.618429 [ [ 0 0 0 0 ] [ 1 .73377 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .73377 L 0 .73377 L closepath clip newpath 0 g 1 Mabswid [ ] 0 setdash .1444 .05767 m .16949 .05767 L .19685 .05767 L .22255 .05767 L .24726 .05767 L .27356 .05767 L .29888 .05767 L .3258 .05767 L .35172 .05767 L .37667 .05767 L .40321 .05767 L .42876 .05767 L .45333 .05767 L .47949 .05767 L .50466 .05767 L .53143 .05767 L .55722 .05767 L .58202 .05767 L .60841 .05767 L .63382 .05767 L .66082 .05767 L .68684 .05767 L .71187 .05767 L .7385 .05767 L .76283 .05767 L s .1444 .6761 m .16949 .6761 L .19685 .6761 L .22255 .6761 L .24726 .6761 L .27356 .6761 L .29888 .6761 L .3258 .6761 L .35172 .6761 L .37667 .6761 L .40321 .6761 L .42876 .6761 L .45333 .6761 L .47949 .6761 L .50466 .6761 L .53143 .6761 L .55722 .6761 L .58202 .6761 L .60841 .6761 L .63382 .6761 L .66082 .6761 L .68684 .6761 L .71187 .6761 L .7385 .6761 L .76283 .6761 L s .1444 .05767 m .1444 .08276 L .1444 .11012 L .1444 .13581 L .1444 .16052 L .1444 .18683 L .1444 .21215 L .1444 .23906 L .1444 .26499 L .1444 .28993 L .1444 .31647 L .1444 .34202 L .1444 .36659 L .1444 .39275 L .1444 .41793 L .1444 .4447 L .1444 .47048 L .1444 .49528 L .1444 .52168 L .1444 .54709 L .1444 .57409 L .1444 .6001 L .1444 .62514 L .1444 .65176 L .1444 .6761 L s .76283 .05767 m .76283 .08276 L .76283 .11012 L .76283 .13581 L .76283 .16052 L .76283 .18683 L .76283 .21215 L .76283 .23906 L .76283 .26499 L .76283 .28993 L .76283 .31647 L .76283 .34202 L .76283 .36659 L .76283 .39275 L .76283 .41793 L .76283 .4447 L .76283 .47048 L .76283 .49528 L .76283 .52168 L .76283 .54709 L .76283 .57409 L .76283 .6001 L .76283 .62514 L .76283 .65176 L .76283 .6761 L s .02381 .01747 m .04614 .02123 L .07049 .02534 L .09336 .02919 L .11535 .0329 L .13876 .03684 L .1613 .04064 L .18525 .04468 L .20833 .04857 L .23053 .05231 L .25414 .05629 L .27689 .06012 L .29875 .06381 L .32203 .06773 L .34444 .07151 L .36827 .07553 L .39121 .07939 L .41329 .08311 L .43678 .08707 L .45939 .09088 L .48342 .09493 L .50658 .09884 L .52886 .10259 L .55255 .10658 L .57421 .11023 L s .24026 .7163 m .27011 .71253 L .30267 .70843 L .33325 .70457 L .36266 .70087 L .39396 .69692 L .42409 .69312 L .45612 .68909 L .48697 .6852 L .51666 .68146 L .54823 .67748 L .57864 .67364 L .60788 .66996 L .63901 .66603 L .66897 .66226 L .70083 .65824 L .73151 .65437 L .76102 .65065 L .79243 .64669 L .82267 .64288 L .8548 .63883 L .88576 .63493 L .91555 .63118 L .94723 .62718 L .97619 .62353 L s .02381 .01747 m .03259 .04582 L .04217 .07674 L .05116 .10577 L .05981 .1337 L .06902 .16342 L .07788 .19203 L .0873 .22245 L .09637 .25174 L .1051 .27993 L .11439 .30992 L .12333 .33879 L .13193 .36655 L .14109 .39612 L .1499 .42457 L .15927 .45481 L .16829 .48395 L .17697 .51198 L .18621 .5418 L .19511 .57051 L .20456 .60102 L .21366 .63042 L .22242 .65871 L .23174 .6888 L .24026 .7163 L s .57421 .11024 m .59052 .13106 L .6083 .15377 L .62501 .17509 L .64107 .19561 L .65817 .21744 L .67462 .23845 L .69212 .26079 L .70897 .28231 L .72518 .30302 L .74243 .32504 L .75904 .34625 L .77501 .36664 L .79202 .38835 L .80838 .40925 L .82578 .43147 L .84254 .45287 L .85866 .47346 L .87582 .49536 L .89233 .51645 L .90988 .53886 L .92679 .56046 L .94307 .58123 L .96037 .60333 L .97619 .62353 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{144, 105.625}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg Ooh00`00OoiooP0QOoh000]ooP03001ooWon00IooP03001ooWon04EooP03001ooWon00eooP03001o oWon025ooP0037on00<007onOoh01Gon00<007onOoh0AWon00<007onOoh037on00<007onOoh08Gon 000Ooh00`00OoiooP04Ooh00`00OoiooP0QOoh000mooP03001o oWon009ooP03001ooWon04mooP03001ooWon00=ooP03001ooWon025ooP003gon00<007onOoh00Won 00<007onOoh0Cgon00<007onOoh00gon00<007onOoh08Gon000@Ooh01@00OoiooWon0000DWon00<0 07onOoh00Won00<007onOoh08Gon000@Ooh01@00OoiooWon0000Dgon00D007onOoiooP0002=ooP00 47on00D007onOoiooP0005AooP04001ooWon000SOoh0011ooP05001ooWonOoh0001EOoh00`00Ooh0 000SOoh0015ooP04001ooWon001FOoh2000SOoh0015ooP04001ooWon001FOoh2000SOoh0015ooP04 001ooWon001GOoh00`00OoiooP0QOoh0019ooP03001ooP0005MooP80029ooP004Won00<007on0000 Egon0P008Won000COoh2001GOoh00`00Ooh0000QOoh001=ooP8005MooP04001ooWon000POoh001=o oP8005MooP05001ooWonOoh0000OOoh001AooP03001ooWon05EooP03001ooWon009ooP03001ooWon 01aooP0057on00<007onOoh0EGon00<007onOoh00gon00<007onOoh06gon000DOoh00`00OoiooP1E Ooh00`00OoiooP03Ooh00`00OoiooP0KOoh001AooP03001ooWon05EooP03001ooWon00AooP03001o oWon01YooP0057on0P00EWon00<007onOoh01Gon00<007onOoh06Gon000DOoh2001FOoh00`00Ooio oP05Ooh00`00OoiooP0IOoh001AooP8005IooP03001ooWon00IooP03001ooWon01QooP0057on0P00 EWon00<007onOoh01gon00<007onOoh05gon000DOoh00`00Ooh0001EOoh00`00OoiooP08Ooh00`00 OoiooP0FOoh001AooP03001ooP0005EooP03001ooWon00UooP03001ooWon01EooP0057on00<007on 0000EGon00<007onOoh02Won00<007onOoh057on000DOoh00`00Ooh0001EOoh00`00OoiooP0:Ooh0 0`00OoiooP0DOoh001AooP04001ooWon001DOoh00`00OoiooP0;Ooh00`00OoiooP0COoh001AooP04 001ooWon001DOoh00`00OoiooP0Ooh00`00OoiooP0@Ooh001AooP03001o oWon009ooP03001ooWon051ooP03001ooWon00mooP03001ooWon00mooP0057on00<007onOoh00Won 00<007onOoh0D7on00<007onOoh03gon00<007onOoh03gon000DOoh00`00OoiooP02Ooh00`00Ooio oP1@Ooh00`00OoiooP0@Ooh00`00OoiooP0>Ooh001AooP03001ooWon009ooP03001ooWon051ooP03 001ooWon015ooP03001ooWon00eooP0057on00<007onOoh00gon00<007onOoh0Cgon00<007onOoh0 4Gon00<007onOoh03Gon000DOoh00`00OoiooP03Ooh00`00OoiooP1?Ooh00`00OoiooP0BOoh00`00 OoiooP0Ooh00`00OoiooP0EOoh00`00OoiooP09Ooh001AooP03001ooWon 00EooP03001ooWon04eooP03001ooWon01IooP03001ooWon00QooP0057on00<007onOoh01Gon00<0 07onOoh0CGon00<007onOoh05Won00<007onOoh027on000DOoh00`00OoiooP05Ooh00`00OoiooP1= Ooh00`00OoiooP0GOoh00`00OoiooP07Ooh001AooP03001ooWon00IooP03001ooWon04aooP03001o oWon01QooP03001ooWon00IooP0057on00<007onOoh01Won00<007onOoh0C7on00<007onOoh06Gon 00<007onOoh01Gon000DOoh00`00OoiooP06Ooh00`00OoiooP1Ooh00`00Ooio oP0QOoh001AooUT002=ooP0087on00<007onOoh09Gon1000A7on000QOoh00`00OoiooP0KOoh90018 Ooh0025ooP03001ooWon019ooPT0055ooP008Gon00<007onOoh02Won2000FWon000ROoh00`00Ooio oP09001ROoh0029ooP<006]ooP00T7on002@Ooh00001\ \>"], ImageRangeCache->{{{0, 143}, {104.625, 0}} -> {-0.735859, -0.593256, \ 0.0113407, 0.0113407}}] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(Block[{L = 1, H = 1, shape = Append[rettangolo, diag[h]]}, ParametricPlot[ Evaluate[ Join[shape, Map[\[Phi], shape]] /. qls, {h, \(-\(1\/2\)\), 1\/2}, AspectRatio \[Rule] Automatic, Axes \[Rule] False, ImageSize \[Rule] 144, PlotStyle \[Rule] AbsoluteThickness[1]]]];\)\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .73377 %%ImageSize: 144 105.662 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.453618 0.618429 0.366883 0.618429 [ [ 0 0 0 0 ] [ 1 .73377 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .73377 L 0 .73377 L closepath clip newpath 0 g 1 Mabswid [ ] 0 setdash .1444 .05767 m .16949 .05767 L .19685 .05767 L .22255 .05767 L .24726 .05767 L .27356 .05767 L .29888 .05767 L .3258 .05767 L .35172 .05767 L .37667 .05767 L .40321 .05767 L .42876 .05767 L .45333 .05767 L .47949 .05767 L .50466 .05767 L .53143 .05767 L .55722 .05767 L .58202 .05767 L .60841 .05767 L .63382 .05767 L .66082 .05767 L .68684 .05767 L .71187 .05767 L .7385 .05767 L .76283 .05767 L s .1444 .6761 m .16949 .6761 L .19685 .6761 L .22255 .6761 L .24726 .6761 L .27356 .6761 L .29888 .6761 L .3258 .6761 L .35172 .6761 L .37667 .6761 L .40321 .6761 L .42876 .6761 L .45333 .6761 L .47949 .6761 L .50466 .6761 L .53143 .6761 L .55722 .6761 L .58202 .6761 L .60841 .6761 L .63382 .6761 L .66082 .6761 L .68684 .6761 L .71187 .6761 L .7385 .6761 L .76283 .6761 L s .1444 .05767 m .1444 .08276 L .1444 .11012 L .1444 .13581 L .1444 .16052 L .1444 .18683 L .1444 .21215 L .1444 .23906 L .1444 .26499 L .1444 .28993 L .1444 .31647 L .1444 .34202 L .1444 .36659 L .1444 .39275 L .1444 .41793 L .1444 .4447 L .1444 .47048 L .1444 .49528 L .1444 .52168 L .1444 .54709 L .1444 .57409 L .1444 .6001 L .1444 .62514 L .1444 .65176 L .1444 .6761 L s .76283 .05767 m .76283 .08276 L .76283 .11012 L .76283 .13581 L .76283 .16052 L .76283 .18683 L .76283 .21215 L .76283 .23906 L .76283 .26499 L .76283 .28993 L .76283 .31647 L .76283 .34202 L .76283 .36659 L .76283 .39275 L .76283 .41793 L .76283 .4447 L .76283 .47048 L .76283 .49528 L .76283 .52168 L .76283 .54709 L .76283 .57409 L .76283 .6001 L .76283 .62514 L .76283 .65176 L .76283 .6761 L s .1444 .05767 m .16949 .08276 L .19685 .11012 L .22255 .13581 L .24726 .16052 L .27356 .18683 L .29888 .21215 L .3258 .23906 L .35172 .26499 L .37667 .28993 L .40321 .31647 L .42876 .34202 L .45333 .36659 L .47949 .39275 L .50466 .41793 L .53143 .4447 L .55722 .47048 L .58202 .49528 L .60841 .52168 L .63382 .54709 L .66082 .57409 L .68684 .6001 L .71187 .62514 L .7385 .65176 L .76283 .6761 L s .02381 .01747 m .04614 .02123 L .07049 .02534 L .09336 .02919 L .11535 .0329 L .13876 .03684 L .1613 .04064 L .18525 .04468 L .20833 .04857 L .23053 .05231 L .25414 .05629 L .27689 .06012 L .29875 .06381 L .32203 .06773 L .34444 .07151 L .36827 .07553 L .39121 .07939 L .41329 .08311 L .43678 .08707 L .45939 .09088 L .48342 .09493 L .50658 .09884 L .52886 .10259 L .55255 .10658 L .57421 .11023 L s .24026 .7163 m .27011 .71253 L .30267 .70843 L .33325 .70457 L .36266 .70087 L .39396 .69692 L .42409 .69312 L .45612 .68909 L .48697 .6852 L .51666 .68146 L .54823 .67748 L .57864 .67364 L .60788 .66996 L .63901 .66603 L .66897 .66226 L .70083 .65824 L .73151 .65437 L .76102 .65065 L .79243 .64669 L .82267 .64288 L .8548 .63883 L .88576 .63493 L .91555 .63118 L .94723 .62718 L .97619 .62353 L s .02381 .01747 m .03259 .04582 L .04217 .07674 L .05116 .10577 L .05981 .1337 L .06902 .16342 L .07788 .19203 L .0873 .22245 L .09637 .25174 L .1051 .27993 L .11439 .30992 L .12333 .33879 L .13193 .36655 L .14109 .39612 L .1499 .42457 L .15927 .45481 L .16829 .48395 L .17697 .51198 L .18621 .5418 L .19511 .57051 L .20456 .60102 L .21366 .63042 L .22242 .65871 L .23174 .6888 L .24026 .7163 L s .57421 .11024 m .59052 .13106 L .6083 .15377 L .62501 .17509 L .64107 .19561 L .65817 .21744 L .67462 .23845 L .69212 .26079 L .70897 .28231 L .72518 .30302 L .74243 .32504 L .75904 .34625 L .77501 .36664 L .79202 .38835 L .80838 .40925 L .82578 .43147 L .84254 .45287 L .85866 .47346 L .87582 .49536 L .89233 .51645 L .90988 .53886 L .92679 .56046 L .94307 .58123 L .96037 .60333 L .97619 .62353 L s .02381 .01747 m .05522 .04928 L .09018 .08327 L .12367 .11453 L .15648 .14399 L .19206 .1747 L .22694 .20363 L .2647 .23369 L .30174 .26199 L .33799 .2886 L .37722 .31625 L .41563 .34222 L .45317 .3666 L .49378 .39191 L .53349 .41564 L .57639 .4402 L .61837 .4632 L .65935 .48472 L .70362 .50696 L .74688 .52773 L .79354 .54912 L .83916 .56905 L .88368 .58762 L .9317 .6067 L .97619 .62353 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{144, 105.625}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgOoh00`00OoiooP0QOoh000]ooP03001ooWon00IooP03 001ooWon00UooP03001ooWon00IooP03001ooWon031ooP03001ooWon00eooP03001ooWon025ooP00 37on00<007onOoh01Gon00<007onOoh02Won00<007onOoh01Won00<007onOoh0<7on00<007onOoh0 37on00<007onOoh08Gon0007on00<007onOoh037on0P001gon00<007onOoh03gon00<007onOoh03gon000DOoh00`00OoiooP02 Ooh00`00OoiooP0iOoh00`00OoiooP0=Ooh20005Ooh00`00OoiooP0?Ooh00`00OoiooP0?Ooh001Ao oP03001ooWon009ooP03001ooWon03YooP03001ooWon00iooP8000=ooP03001ooWon011ooP03001o oWon00iooP0057on00<007onOoh00Won00<007onOoh0>gon00<007onOoh03gon10004gon00<007on Ooh03Gon000DOoh00`00OoiooP03Ooh00`00OoiooP0kOoh00`00OoiooP0AOoh2000BOoh00`00Ooio oP0=Ooh001AooP03001ooWon00=ooP03001ooWon03aooP03001ooWon011ooP04001ooP00000AOoh0 0`00OoiooP0 Ooh30007Ooh00`00OoiooP06Ooh001AooP03001ooWon00IooP03001ooWon049ooP03001ooWon00Mo oP03001ooWon015ooP@000AooP03001ooWon00EooP0057on00<007onOoh01Won00<007onOoh0@gon 00<007onOoh01Won00<007onOoh05Gon0P000gon00<007onOoh017on000DOoh00`00OoiooP06Ooh0 0`00OoiooP13Ooh00`00OoiooP06Ooh00`00OoiooP0GOoh20002Ooh00`00OoiooP03Ooh001AooP03 001ooWon00IooP03001ooWon04AooP03001ooWon00EooP03001ooWon01UooP<000EooP0057on00<0 07onOoh01gon00<007onOoh0A7on00<007onOoh017on00<007onOoh05Won1`0017on000DOoh00`00 OoiooP07Ooh00`00OoiooP15Ooh00`00OoiooP03Ooh00`00OoiooP0>Ooh8000;Ooh001AooP03001o oWon00MooP03001ooWon04IooP03001ooWon009ooP03001ooWon00UooPD001=ooP0057on00<007on Ooh01gon00<007onOoh0Agon00D007onOoiooP00009ooPT001QooP0057on00<007onOoh027on00<0 07onOoh0AGon20008Gon000DOoh00`00OoiooP08Ooh00`00OoiooP0lOoh90003Ooh00`00Ooh0000S Ooh001AooP03001ooWon00QooP03001ooWon03=ooPT000eooP8002=ooP0057onF@008gon000POoh0 0`00OoiooP0UOoh40014Ooh0025ooP03001ooWon01]ooPT004QooP008Gon00<007onOoh04Won2@00 DGon000QOoh00`00OoiooP0:Ooh8001JOoh0029ooP03001ooWon00T0069ooP008Won0`00Jgon002@ Ooh0091ooP00\ \>"], ImageRangeCache->{{{0, 143}, {104.625, 0}} -> {-0.735859, -0.593256, \ 0.0113407, 0.0113407}}] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(Block[{L = 1, H = 1, shape = Join[rettangolo, 1.5 {dirpr1[h], dirpr2[h]}]}, ParametricPlot[ Evaluate[ Join[shape, Map[\[Phi], shape]] /. qls, {h, \(-\(1\/2\)\), 1\/2}, AspectRatio \[Rule] Automatic, Axes \[Rule] False, ImageSize \[Rule] 144, PlotStyle \[Rule] AbsoluteThickness[1]]]];\)\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .75543 %%ImageSize: 144 108.781 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.450003 0.597084 0.39682 0.597084 [ [ 0 0 0 0 ] [ 1 .75543 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .75543 L 0 .75543 L closepath clip newpath 0 g 1 Mabswid [ ] 0 setdash .15146 .09828 m .17568 .09828 L .2021 .09828 L .22691 .09828 L .25077 .09828 L .27616 .09828 L .30061 .09828 L .32659 .09828 L .35163 .09828 L .37571 .09828 L .40133 .09828 L .426 .09828 L .44972 .09828 L .47498 .09828 L .49929 .09828 L .52513 .09828 L .55003 .09828 L .57397 .09828 L .59945 .09828 L .62399 .09828 L .65006 .09828 L .67517 .09828 L .69934 .09828 L .72505 .09828 L .74855 .09828 L s .15146 .69536 m .17568 .69536 L .2021 .69536 L .22691 .69536 L .25077 .69536 L .27616 .69536 L .30061 .69536 L .32659 .69536 L .35163 .69536 L .37571 .69536 L .40133 .69536 L .426 .69536 L .44972 .69536 L .47498 .69536 L .49929 .69536 L .52513 .69536 L .55003 .69536 L .57397 .69536 L .59945 .69536 L .62399 .69536 L .65006 .69536 L .67517 .69536 L .69934 .69536 L .72505 .69536 L .74855 .69536 L s .15146 .09828 m .15146 .1225 L .15146 .14892 L .15146 .17372 L .15146 .19758 L .15146 .22298 L .15146 .24743 L .15146 .27341 L .15146 .29844 L .15146 .32253 L .15146 .34815 L .15146 .37282 L .15146 .39654 L .15146 .4218 L .15146 .4461 L .15146 .47195 L .15146 .49684 L .15146 .52079 L .15146 .54627 L .15146 .5708 L .15146 .59687 L .15146 .62199 L .15146 .64616 L .15146 .67187 L .15146 .69536 L s .74855 .09828 m .74855 .1225 L .74855 .14892 L .74855 .17372 L .74855 .19758 L .74855 .22298 L .74855 .24743 L .74855 .27341 L .74855 .29844 L .74855 .32253 L .74855 .34815 L .74855 .37282 L .74855 .39654 L .74855 .4218 L .74855 .4461 L .74855 .47195 L .74855 .49684 L .74855 .52079 L .74855 .54627 L .74855 .5708 L .74855 .59687 L .74855 .62199 L .74855 .64616 L .74855 .67187 L .74855 .69536 L s .11446 .69337 m .14168 .66931 L .17137 .64307 L .19925 .61843 L .22607 .59473 L .25462 .5695 L .28209 .54522 L .3113 .51941 L .33943 .49454 L .3665 .47062 L .3953 .44517 L .42303 .42066 L .44969 .3971 L .47808 .37201 L .5054 .34786 L .53444 .32219 L .56243 .29746 L .58934 .27368 L .61798 .24836 L .64555 .224 L .67485 .1981 L .70309 .17315 L .73025 .14914 L .75914 .1236 L .78555 .10027 L s .15345 .06127 m .17751 .0885 L .20375 .11819 L .22839 .14607 L .25209 .17289 L .27732 .20143 L .3016 .22891 L .32742 .25811 L .35228 .28625 L .3762 .31332 L .40166 .34211 L .42616 .36984 L .44972 .3965 L .47481 .42489 L .49896 .45221 L .52463 .48126 L .54936 .50924 L .57315 .53616 L .59846 .5648 L .62283 .59237 L .64872 .62167 L .67368 .6499 L .69768 .67707 L .72322 .70596 L .74656 .73237 L s .03503 .05947 m .05659 .0631 L .0801 .06706 L .10218 .07078 L .12341 .07436 L .14601 .07817 L .16777 .08184 L .1909 .08574 L .21318 .08949 L .23461 .0931 L .25741 .09695 L .27937 .10065 L .30048 .10421 L .32296 .10799 L .34459 .11164 L .3676 .11552 L .38975 .11925 L .41106 .12284 L .43374 .12667 L .45558 .13035 L .47878 .13426 L .50113 .13802 L .52265 .14165 L .54552 .14551 L .56643 .14903 L s .24401 .73417 m .27283 .73054 L .30427 .72658 L .33379 .72286 L .36218 .71928 L .3924 .71547 L .4215 .7118 L .45242 .7079 L .48221 .70415 L .51087 .70054 L .54135 .69669 L .57071 .69299 L .59894 .68943 L .629 .68564 L .65792 .682 L .68868 .67812 L .7183 .67439 L .7468 .6708 L .77712 .66697 L .80631 .66329 L .83734 .65938 L .86723 .65562 L .89599 .65199 L .92658 .64813 L .95454 .64461 L s .03503 .05947 m .04351 .08684 L .05275 .11669 L .06144 .14472 L .06979 .17168 L .07868 .20038 L .08723 .22801 L .09633 .25737 L .10509 .28565 L .11352 .31287 L .12248 .34182 L .13112 .3697 L .13942 .3965 L .14826 .42504 L .15677 .45251 L .16581 .48172 L .17453 .50985 L .18291 .5369 L .19183 .5657 L .20041 .59342 L .20954 .62288 L .21833 .65126 L .22679 .67857 L .23579 .70762 L .24401 .73417 L s .56643 .14903 m .58218 .16913 L .59935 .19106 L .61548 .21165 L .63098 .23145 L .64749 .25253 L .66338 .27282 L .68027 .29439 L .69654 .31517 L .7122 .33516 L .72885 .35642 L .74489 .3769 L .7603 .39659 L .77672 .41755 L .79252 .43773 L .80932 .45918 L .8255 .47984 L .84107 .49971 L .85763 .52086 L .87358 .54123 L .89052 .56286 L .90685 .58371 L .92256 .60377 L .93927 .62511 L .95454 .64461 L s .19931 .73744 m .22338 .70608 L .24888 .67262 L .27211 .64192 L .2938 .61304 L .31619 .583 L .33706 .55477 L .3585 .5255 L .37844 .49802 L .39696 .47224 L .41595 .44553 L .43355 .42051 L .44981 .39709 L .46644 .37286 L .48177 .35021 L .49734 .32685 L .51163 .30506 L .52472 .28476 L .53794 .26386 L .54998 .24443 L .56204 .22452 L .57293 .20606 L .58274 .18897 L .59246 .17151 L .6007 .15619 L s .02381 .01799 m .05466 .05245 L .08906 .08929 L .12207 .12317 L .15448 .1551 L .18967 .18839 L .22423 .21975 L .2617 .25234 L .29852 .28303 L .3346 .31189 L .3737 .34188 L .41204 .37006 L .44955 .39651 L .49019 .42398 L .52998 .44974 L .573 .47641 L .61516 .50138 L .65636 .52475 L .70091 .54891 L .7445 .57148 L .79155 .59472 L .83761 .6164 L .88259 .63659 L .93115 .65734 L .97619 .67566 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{144, 108.75}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgWon00<007onOoh00Won00<007onOoh07Won0007Ooh00`00OoiooP06Ooh00`00OoiooP02Ooh0 0`00OoiooP04Ooh00`00OoiooP0AOoh6000dOoh00`00OoiooP02000QOoh000MooP03001ooWon00Mo oP05001ooWonOoh00007Ooh00`00OoiooP0FOoh6000^Ooh00`00Ooh0000SOoh000MooP03001ooWon 00QooP04001ooWon0008Ooh00`00OoiooP0KOoh7000WOoh2000TOoh000QooP03001ooWon00QooP03 001ooP0000QooP03001ooWon029ooPH0025ooP03001ooWon02=ooP0027on00<007onOoh02Gon0P00 2Gon00<007onOoh09gon0`007Gon0P009Gon0008Ooh00`00OoiooP0:Ooh00`00OoiooP08Ooh00`00 OoiooP0YOoh5000GOoh00`00Ooh0000UOoh000UooP03001ooWon00UooP8000YooP03001ooWon02eo oP05001ooWonOoh0000AOoh01000OoiooP009Gon0009Ooh00`00OoiooP09Ooh00`00Ooh0000:Ooh2 000^Ooh00`00Ooh0000@Ooh20003Ooh00`00OoiooP0SOoh000YooP03001ooWon00QooP04001ooWon 000;Ooh00`00OoiooP0/Ooh2000?Ooh00`00OoiooP03Ooh00`00OoiooP0SOoh000YooP03001ooWon 00QooP05001ooWonOoh0000;Ooh00`00OoiooP0/Ooh00`00OoiooP0Ooh00`00OoiooP0SOoh000aooP03001ooWon00IooP03001ooWon00]ooP03001ooWon 00IooP03001ooWon021ooP03001ooWon00MooP<000iooP03001ooWon02=ooP003Gon00<007onOoh0 1Gon00<007onOoh037on00<007onOoh01Won00<007onOoh07Won00<007onOoh01gon00@007onOoh0 00iooP03001ooWon02=ooP003Gon00<007onOoh01Gon00<007onOoh03Gon00<007onOoh01Gon00<0 07onOoh07Gon00<007onOoh01gon00<007onOoh00Won00<007onOoh02gon00<007onOoh08gon000= Ooh00`00OoiooP05Ooh00`00OoiooP0>Ooh00`00OoiooP05Ooh00`00OoiooP0KOoh00`00OoiooP07 Ooh00`00OoiooP04Ooh00`00OoiooP0:Ooh00`00OoiooP0SOoh000iooP03001ooWon00AooP03001o oWon00mooP8000IooP03001ooWon01YooP03001ooWon00IooP03001ooWon00EooP03001ooWon00Yo oP03001ooWon02=ooP003Won00<007onOoh017on00<007onOoh04Gon00<007onOoh017on00<007on Ooh067on00<007onOoh01Won00<007onOoh01gon00<007onOoh02Gon00<007onOoh08gon000?Ooh0 0`00OoiooP03Ooh00`00OoiooP0BOoh00`00OoiooP04Ooh00`00OoiooP0GOoh00`00OoiooP05Ooh0 0`00OoiooP09Ooh00`00OoiooP08Ooh00`00OoiooP0SOoh000mooP03001ooWon00=ooP03001ooWon 01=ooP03001ooWon00AooP03001ooWon01EooP03001ooWon00AooP8000eooP03001ooWon00MooP03 001ooWon02=ooP003gon00<007onOoh00gon00<007onOoh057on0P001Gon00<007onOoh057on00<0 07onOoh00gon00<007onOoh03Won00<007onOoh01Won00<007onOoh08gon000@Ooh00`00OoiooP02 Ooh00`00OoiooP0FOoh00`00OoiooP03Ooh00`00OoiooP0BOoh00`00OoiooP03Ooh00`00OoiooP0@ Ooh00`00OoiooP05Ooh00`00OoiooP0SOoh0011ooP03001ooWon009ooP03001ooWon01MooP03001o oWon00=ooP03001ooWon011ooP03001ooWon00=ooP03001ooWon015ooP03001ooWon00EooP03001o oWon02=ooP0047on00<007onOoh00Won00<007onOoh067on00<007onOoh00gon00<007onOoh03gon 00<007onOoh00Won00<007onOoh04gon00<007onOoh017on00<007onOoh08gon000@Ooh00`00Ooio oP02Ooh00`00OoiooP0IOoh00`00OoiooP03Ooh00`00OoiooP0=Ooh00`00OoiooP02Ooh00`00Ooio oP0EOoh00`00OoiooP03Ooh00`00OoiooP0SOoh0015ooP05001ooWonOoh0000LOoh20003Ooh00`00 OoiooP0Ooh00`00OoiooP0BOoh001EooP03001ooWon009ooP03001ooWon00aooP03001ooWon00EooP03 001ooWon01iooP03001ooWon00aooP8000MooP03001ooWon00mooP03001ooWon015ooP005Gon00<0 07onOoh00Won00<007onOoh02gon00<007onOoh01Won00<007onOoh07gon00<007onOoh03Gon0P00 1Gon00<007onOoh047on00<007onOoh047on000EOoh00`00OoiooP03Ooh00`00OoiooP09Ooh00`00 OoiooP06Ooh00`00OoiooP0QOoh00`00OoiooP0>Ooh20003Ooh00`00OoiooP0AOoh00`00OoiooP0? Ooh001EooP03001ooWon00=ooP03001ooWon00MooP8000QooP03001ooWon02=ooP03001ooWon00mo oP800003Ooh007on01=ooP03001ooWon00iooP005Gon00<007onOoh00gon00<007onOoh01Won00<0 07onOoh01gon00<007onOoh09Gon00<007onOoh047on0P005Gon00<007onOoh03Gon000EOoh00`00 OoiooP03Ooh00`00OoiooP05Ooh00`00OoiooP08Ooh00`00OoiooP0VOoh00`00OoiooP0@Ooh3000C Ooh00`00OoiooP0=Ooh001EooP03001ooWon00AooP03001ooWon00=ooP03001ooWon00QooP03001o oWon02QooP03001ooWon00mooP03001ooWon0080019ooP03001ooWon00aooP005Gon00<007onOoh0 17on00<007onOoh00Won00<007onOoh027on00<007onOoh0:Won00<007onOoh03Won00<007onOoh0 0Won0P004Gon00<007onOoh02gon000EOoh00`00OoiooP04Ooh01@00OoiooWon00002Won00<007on Ooh0;7on00<007onOoh03Gon00<007onOoh017on00<007onOoh03Won00<007onOoh02gon000EOoh0 0`00OoiooP05Ooh00`00Ooh0000;Ooh00`00OoiooP0/Ooh00`00OoiooP0=Ooh00`00OoiooP05Ooh2 000?Ooh00`00OoiooP0:Ooh001EooP03001ooWon00EooP8000]ooP03001ooWon02iooP03001ooWon 00aooP03001ooWon00MooP8000iooP03001ooWon00UooP005Gon00<007onOoh017on00<007on0000 2Won00<007onOoh0<7on00<007onOoh02gon00<007onOoh02Gon0`0037on00<007onOoh027on000E Ooh00`00OoiooP03Ooh01000OoiooP002Gon00<007onOoh0Won00<007onOoh01Won00<007onOoh01Gon20002Gon0`002Won000D Ooh20009Ooh00`00OoiooP02Ooh00`00OoiooP0kOoh00`00OoiooP04Ooh9000DOoh40006Ooh001=o oP03001ooP0000YooP04001ooWon000mOoh800000gon001ooP0NOoh20004Ooh0019ooP04001ooWon 000:Ooh00`00Ooh0000iOoh50003Ooh00`00OoiooP03Ooh00`00OoiooP0SOoh0015ooP05001ooWon Ooh0000:Ooh2000bOoh80009Ooh00`00OoiooP02Ooh00`00OoiooP0SOoh0011ooP03001ooWon009o oUH002EooP0087on0P008Gon2@006gon00<007onOoh09Won000OOoh00`00Ooh0000IOoh8000UOoh0 0`00OoiooP0UOoh001iooP04001ooWon000@Ooh9000]Ooh00`00OoiooP0UOoh001iooP05001ooWon Ooh00007Ooh8000gOoh00`00OoiooP0TOoh001eooP03001ooWon009ooPP0041ooP03001ooWon02=o oP0077on00<007onOoh0LGon002@Ooh0091ooP00\ \>"], ImageRangeCache->{{{0, 143}, {107.75, 0}} -> {-0.755825, -0.664603, \ 0.0117421, 0.0117421}}] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(Block[{L = 1, H = 1, shape = Join[rettangolo, grigliaV]}, ParametricPlot[ Evaluate[ Join[shape, Map[\[Phi], shape]] /. qls, {h, \(-\(1\/2\)\), 1\/2}, AspectRatio \[Rule] Automatic, Axes \[Rule] False, ImageSize -> 144, PlotStyle \[Rule] AbsoluteThickness[1]]]];\)\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .73377 %%ImageSize: 144 105.662 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.453618 0.618429 0.366883 0.618429 [ [ 0 0 0 0 ] [ 1 .73377 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .73377 L 0 .73377 L closepath clip newpath 0 g 1 Mabswid [ ] 0 setdash .1444 .05767 m .16949 .05767 L .19685 .05767 L .22255 .05767 L .24726 .05767 L .27356 .05767 L .29888 .05767 L .3258 .05767 L .35172 .05767 L .37667 .05767 L .40321 .05767 L .42876 .05767 L .45333 .05767 L .47949 .05767 L .50466 .05767 L .53143 .05767 L .55722 .05767 L .58202 .05767 L .60841 .05767 L .63382 .05767 L .66082 .05767 L .68684 .05767 L .71187 .05767 L .7385 .05767 L .76283 .05767 L s .1444 .6761 m .16949 .6761 L .19685 .6761 L .22255 .6761 L .24726 .6761 L .27356 .6761 L .29888 .6761 L .3258 .6761 L .35172 .6761 L .37667 .6761 L .40321 .6761 L .42876 .6761 L .45333 .6761 L .47949 .6761 L .50466 .6761 L .53143 .6761 L .55722 .6761 L .58202 .6761 L .60841 .6761 L .63382 .6761 L .66082 .6761 L .68684 .6761 L .71187 .6761 L .7385 .6761 L .76283 .6761 L s .1444 .05767 m .1444 .08276 L .1444 .11012 L .1444 .13581 L .1444 .16052 L .1444 .18683 L .1444 .21215 L .1444 .23906 L .1444 .26499 L .1444 .28993 L .1444 .31647 L .1444 .34202 L .1444 .36659 L .1444 .39275 L .1444 .41793 L .1444 .4447 L .1444 .47048 L .1444 .49528 L .1444 .52168 L .1444 .54709 L .1444 .57409 L .1444 .6001 L .1444 .62514 L .1444 .65176 L .1444 .6761 L s .76283 .05767 m .76283 .08276 L .76283 .11012 L .76283 .13581 L .76283 .16052 L .76283 .18683 L .76283 .21215 L .76283 .23906 L .76283 .26499 L .76283 .28993 L .76283 .31647 L .76283 .34202 L .76283 .36659 L .76283 .39275 L .76283 .41793 L .76283 .4447 L .76283 .47048 L .76283 .49528 L .76283 .52168 L .76283 .54709 L .76283 .57409 L .76283 .6001 L .76283 .62514 L .76283 .65176 L .76283 .6761 L s .26809 .05767 m .26809 .08276 L .26809 .11012 L .26809 .13581 L .26809 .16052 L .26809 .18683 L .26809 .21215 L .26809 .23906 L .26809 .26499 L .26809 .28993 L .26809 .31647 L .26809 .34202 L .26809 .36659 L .26809 .39275 L .26809 .41793 L .26809 .4447 L .26809 .47048 L .26809 .49528 L .26809 .52168 L .26809 .54709 L .26809 .57409 L .26809 .6001 L .26809 .62514 L .26809 .65176 L .26809 .6761 L s .39177 .05767 m .39177 .08276 L .39177 .11012 L .39177 .13581 L .39177 .16052 L .39177 .18683 L .39177 .21215 L .39177 .23906 L .39177 .26499 L .39177 .28993 L .39177 .31647 L .39177 .34202 L .39177 .36659 L .39177 .39275 L .39177 .41793 L .39177 .4447 L .39177 .47048 L .39177 .49528 L .39177 .52168 L .39177 .54709 L .39177 .57409 L .39177 .6001 L .39177 .62514 L .39177 .65176 L .39177 .6761 L s .51546 .05767 m .51546 .08276 L .51546 .11012 L .51546 .13581 L .51546 .16052 L .51546 .18683 L .51546 .21215 L .51546 .23906 L .51546 .26499 L .51546 .28993 L .51546 .31647 L .51546 .34202 L .51546 .36659 L .51546 .39275 L .51546 .41793 L .51546 .4447 L .51546 .47048 L .51546 .49528 L .51546 .52168 L .51546 .54709 L .51546 .57409 L .51546 .6001 L .51546 .62514 L .51546 .65176 L .51546 .6761 L s .63915 .05767 m .63915 .08276 L .63915 .11012 L .63915 .13581 L .63915 .16052 L .63915 .18683 L .63915 .21215 L .63915 .23906 L .63915 .26499 L .63915 .28993 L .63915 .31647 L .63915 .34202 L .63915 .36659 L .63915 .39275 L .63915 .41793 L .63915 .4447 L .63915 .47048 L .63915 .49528 L .63915 .52168 L .63915 .54709 L .63915 .57409 L .63915 .6001 L .63915 .62514 L .63915 .65176 L .63915 .6761 L s .02381 .01747 m .04614 .02123 L .07049 .02534 L .09336 .02919 L .11535 .0329 L .13876 .03684 L .1613 .04064 L .18525 .04468 L .20833 .04857 L .23053 .05231 L .25414 .05629 L .27689 .06012 L .29875 .06381 L .32203 .06773 L .34444 .07151 L .36827 .07553 L .39121 .07939 L .41329 .08311 L .43678 .08707 L .45939 .09088 L .48342 .09493 L .50658 .09884 L .52886 .10259 L .55255 .10658 L .57421 .11023 L s .24026 .7163 m .27011 .71253 L .30267 .70843 L .33325 .70457 L .36266 .70087 L .39396 .69692 L .42409 .69312 L .45612 .68909 L .48697 .6852 L .51666 .68146 L .54823 .67748 L .57864 .67364 L .60788 .66996 L .63901 .66603 L .66897 .66226 L .70083 .65824 L .73151 .65437 L .76102 .65065 L .79243 .64669 L .82267 .64288 L .8548 .63883 L .88576 .63493 L .91555 .63118 L .94723 .62718 L .97619 .62353 L s .02381 .01747 m .03259 .04582 L .04217 .07674 L .05116 .10577 L .05981 .1337 L .06902 .16342 L .07788 .19203 L .0873 .22245 L .09637 .25174 L .1051 .27993 L .11439 .30992 L .12333 .33879 L .13193 .36655 L .14109 .39612 L .1499 .42457 L .15927 .45481 L .16829 .48395 L .17697 .51198 L .18621 .5418 L .19511 .57051 L .20456 .60102 L .21366 .63042 L .22242 .65871 L .23174 .6888 L .24026 .7163 L s .57421 .11024 m .59052 .13106 L .6083 .15377 L .62501 .17509 L .64107 .19561 L .65817 .21744 L .67462 .23845 L .69212 .26079 L .70897 .28231 L .72518 .30302 L .74243 .32504 L .75904 .34625 L .77501 .36664 L .79202 .38835 L .80838 .40925 L .82578 .43147 L .84254 .45287 L .85866 .47346 L .87582 .49536 L .89233 .51645 L .90988 .53886 L .92679 .56046 L .94307 .58123 L .96037 .60333 L .97619 .62353 L s .13389 .03602 m .14418 .06287 L .15539 .09214 L .16593 .11964 L .17606 .14608 L .18685 .17423 L .19723 .20132 L .20826 .23011 L .21889 .25786 L .22912 .28455 L .24 .31294 L .25048 .34028 L .26055 .36657 L .27127 .39456 L .2816 .4215 L .29257 .45015 L .30314 .47774 L .31331 .50427 L .32413 .53251 L .33455 .5597 L .34562 .58859 L .35629 .61643 L .36655 .64322 L .37747 .6717 L .38745 .69774 L s .24397 .05458 m .25576 .07992 L .26862 .10755 L .2807 .1335 L .29231 .15846 L .30468 .18503 L .31658 .2106 L .32923 .23778 L .34141 .26397 L .35314 .28917 L .36561 .31597 L .37762 .34178 L .38916 .36659 L .40146 .39301 L .41329 .41844 L .42587 .44548 L .43799 .47152 L .44965 .49657 L .46205 .52322 L .474 .54889 L .48669 .57616 L .49892 .60244 L .51068 .62772 L .52319 .65461 L .53463 .67919 L s .35405 .07313 m .36735 .09696 L .38185 .12296 L .39547 .14737 L .40856 .17084 L .42251 .19583 L .43593 .21989 L .45019 .24545 L .46393 .27008 L .47715 .29378 L .49122 .31899 L .50476 .34327 L .51778 .36661 L .53165 .39146 L .54499 .41538 L .55918 .44081 L .57284 .4653 L .58599 .48886 L .59998 .51394 L .61344 .53808 L .62775 .56373 L .64154 .58844 L .65481 .61222 L .66892 .63752 L .68182 .66064 L s .46413 .09168 m .47893 .11401 L .49508 .13836 L .51024 .16123 L .52482 .18322 L .54034 .20664 L .55527 .22917 L .57115 .25312 L .58645 .2762 L .60117 .2984 L .61682 .32202 L .6319 .34476 L .6464 .36662 L .66183 .38991 L .67668 .41231 L .69248 .43614 L .70769 .45909 L .72232 .48116 L .7379 .50465 L .75289 .52726 L .76882 .55129 L .78417 .57445 L .79894 .59673 L .81465 .62043 L .829 .64208 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{144, 105.625}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgOoh00`00Ooh0000Ooh00`00OoiooP0QOoh000IooP03001ooWon00]ooP03 001ooP0000iooP8000aooP03001ooWon009ooP03001ooWon00EooPL0009ooP03001ooWon00mooP03 001ooWon00iooP03001ooWon025ooP001gon00<007onOoh02Won00<007on00003Won0P003Gon00D0 07onOoiooP0000YooP04001ooWonOoh3000AOoh00`00OoiooP0>Ooh00`00OoiooP0QOoh000MooP03 001ooWon00YooP03001ooP0000mooP03001ooWon00aooP04001ooWon000:Ooh00`00OoiooP03Ooh7 000;Ooh00`00OoiooP0>Ooh00`00OoiooP0QOoh000MooP03001ooWon00YooP04001ooWon000>Ooh0 0`00OoiooP0Ooh00`00OoiooP0QOoh000QooP03001ooWon00UooP05001ooWonOoh0000= Ooh00`00Ooh0000>Ooh2000=Ooh01000OoiooP002gon00<007onOoh00gon00<007onOoh03Won00<0 07onOoh08Gon0009Ooh00`00OoiooP08Ooh00`00OoiooP02Ooh00`00OoiooP0:Ooh01000OoiooP00 3Won00<007onOoh037on00<007on00002gon00<007onOoh00gon00<007onOoh03Won00<007onOoh0 8Gon0009Ooh00`00OoiooP08Ooh00`00OoiooP02Ooh00`00OoiooP0:Ooh01000OoiooP003Won0P00 3Gon00<007on000037on00<007onOoh00Won00<007onOoh03Won00<007onOoh08Gon000:Ooh00`00 OoiooP07Ooh00`00OoiooP02Ooh00`00OoiooP0:Ooh01000OoiooP003Won0P003Won0P003Gon00D0 07onOoiooP00011ooP03001ooWon025ooP002Won00<007onOoh01gon00<007onOoh00gon00<007on Ooh02Gon00D007onOoiooP0000eooP03001ooP0000iooP03001ooWon00aooP04001ooWon000@Ooh0 0`00OoiooP0QOoh000YooP03001ooWon00MooP03001ooWon00=ooP03001ooWon00UooP05001ooWon Ooh0000=Ooh00`00Ooh0000>Ooh2000>Ooh00`00Ooh0000@Ooh00`00OoiooP0QOoh000]ooP03001o oWon00IooP03001ooWon00=ooP03001ooWon00UooP03001ooWon009ooP03001ooWon00YooP04001o oWon000=Ooh00`00Ooh0000>Ooh2000@Ooh00`00OoiooP0QOoh000]ooP03001ooWon00IooP03001o oWon00AooP03001ooWon00QooP03001ooWon009ooP03001ooWon00YooP04001ooWon000=Ooh01000 OoiooP003Gon0P0047on00<007onOoh08Gon000;Ooh00`00OoiooP06Ooh00`00OoiooP04Ooh00`00 OoiooP08Ooh00`00OoiooP03Ooh00`00OoiooP09Ooh01@00OoiooWon000037on00@007onOoh000io oP03001ooWon00iooP03001ooWon025ooP002gon00<007onOoh01Won00<007onOoh01Gon00<007on Ooh01gon00<007onOoh00gon00<007onOoh02Gon00<007onOoh00Won00<007onOoh02Gon00D007on OoiooP0000eooP8000mooP03001ooWon025ooP0037on00<007onOoh01Gon00<007onOoh01Gon00<0 07onOoh01gon00<007onOoh017on00<007onOoh027on00<007onOoh00Won00<007onOoh02Gon00D0 07onOoiooP0000eooP03001ooP0000iooP03001ooWon025ooP0037on00<007onOoh01Gon00<007on Ooh01Gon00<007onOoh01gon00<007onOoh017on00<007onOoh027on00<007onOoh00gon00<007on Ooh027on00<007onOoh00Won00<007onOoh02Won00@007onOoh000eooP03001ooWon025ooP0037on 00<007onOoh01Gon00<007onOoh01Won00<007onOoh01Won00<007onOoh01Gon00<007onOoh01gon 00<007onOoh00gon00<007onOoh027on00<007onOoh00Won00<007onOoh02Won00D007onOoiooP00 00aooP03001ooWon025ooP0037on00<007onOoh01Gon00<007onOoh01Won00<007onOoh01Won00<0 07onOoh01Gon00<007onOoh01gon00<007onOoh017on00<007onOoh01gon00<007onOoh00gon00<0 07onOoh02Gon00D007onOoiooP0000aooP03001ooWon025ooP0037on00<007onOoh01Gon00<007on Ooh01Won00<007onOoh01Won00<007onOoh01Won00<007onOoh01Won00<007onOoh017on00<007on Ooh01gon00<007onOoh017on00<007onOoh027on00<007onOoh00Won00<007onOoh02Gon00<007on Ooh08Gon000=Ooh00`00OoiooP04Ooh00`00OoiooP07Ooh00`00OoiooP05Ooh00`00OoiooP06Ooh0 0`00OoiooP06Ooh00`00OoiooP05Ooh00`00OoiooP06Ooh00`00OoiooP04Ooh00`00OoiooP08Ooh0 0`00OoiooP03Ooh00`00OoiooP08Ooh00`00OoiooP0QOoh000eooP03001ooWon00AooP03001ooWon 00MooP03001ooWon00EooP03001ooWon00IooP03001ooWon00IooP03001ooWon00IooP03001ooWon 00EooP03001ooWon00EooP03001ooWon00MooP03001ooWon00=ooP03001ooWon00QooP03001ooWon 025ooP003Gon00<007onOoh017on00<007onOoh027on00<007onOoh017on00<007onOoh01gon00<0 07onOoh01Gon00<007onOoh01Won00<007onOoh01Gon00<007onOoh01Won00<007onOoh01Won00<0 07onOoh017on00<007onOoh01gon00<007onOoh08Gon000>Ooh00`00OoiooP03Ooh00`00OoiooP08 Ooh00`00OoiooP04Ooh00`00OoiooP07Ooh00`00OoiooP05Ooh00`00OoiooP07Ooh00`00OoiooP04 Ooh00`00OoiooP06Ooh00`00OoiooP06Ooh00`00OoiooP05Ooh00`00OoiooP06Ooh00`00OoiooP0Q Ooh000iooP03001ooWon00=ooP03001ooWon00UooP03001ooWon00=ooP03001ooWon00QooP03001o oWon00AooP03001ooWon00MooP03001ooWon00AooP03001ooWon00MooP03001ooWon00EooP03001o oWon00IooP03001ooWon00EooP03001ooWon025ooP003gon00<007onOoh00Won00<007onOoh02Gon 00<007onOoh00gon00<007onOoh027on00<007onOoh017on00<007onOoh027on00<007onOoh00gon 00<007onOoh027on00<007onOoh017on00<007onOoh01gon00<007onOoh017on00<007onOoh08Gon 000?Ooh00`00OoiooP02Ooh00`00OoiooP09Ooh00`00OoiooP03Ooh00`00OoiooP09Ooh00`00Ooio oP03Ooh00`00OoiooP08Ooh00`00OoiooP03Ooh00`00OoiooP08Ooh00`00OoiooP04Ooh00`00Ooio oP08Ooh00`00OoiooP03Ooh00`00OoiooP0QOoh000mooP03001ooWon009ooP03001ooWon00YooP03 001ooWon009ooP03001ooWon00UooP03001ooWon00=ooP03001ooWon00UooP03001ooWon009ooP03 001ooWon00UooP03001ooWon00=ooP03001ooWon00QooP03001ooWon00=ooP03001ooWon025ooP00 47on00D007onOoiooP0000aooP03001ooWon009ooP03001ooWon00YooP03001ooWon009ooP03001o oWon00YooP05001ooWonOoh0000 Ooh00`00Ooh0000SOoh0015ooP04001ooWon000>Ooh01000OoiooP003Won00@007onOoh000iooP03 001ooP0000mooP03001ooP0000mooP8002=ooP004Gon00@007onOoh000iooP04001ooWon000>Ooh0 1000OoiooP003Won00<007on00003gon00<007on00003gon0P008gon000AOoh01000OoiooP003Won 00@007onOoh000mooP03001ooP0000mooP80011ooP80011ooP03001ooWon025ooP004Won00<007on 00003gon00<007on00003gon00<007on000047on00<007onOoh03gon00<007onOoh03Won0P008Won 000BOoh00`00Ooh0000?Ooh00`00Ooh0000@Ooh2000@Ooh00`00OoiooP0?Ooh00`00OoiooP0>Ooh2 000ROoh001=ooP80011ooP80011ooP80011ooP80011ooP8000mooP03001ooP00025ooP004gon0P00 47on0P0047on0P0047on0P0047on00<007on00003Won00@007onOoh0021ooP004gon0P0047on0P00 4Gon00<007onOoh03Won00<007on00003gon00<007on00003Won00D007onOoiooP0001mooP0057on 00<007onOoh03gon00<007onOoh03gon00<007onOoh03Won00<007on00003gon00@007onOoh000eo oP03001ooWon009ooP03001ooWon01aooP0057on00<007onOoh03gon00<007onOoh03gon0P003gon 00@007onOoh000iooP04001ooWon000=Ooh00`00OoiooP03Ooh00`00OoiooP0KOoh001AooP03001o oWon00mooP03001ooWon00mooP8000mooP04001ooWon000>Ooh01@00OoiooWon000037on00<007on Ooh00gon00<007onOoh06gon000DOoh00`00OoiooP0?Ooh2000@Ooh00`00Ooh0000>Ooh01@00Ooio oWon00003Gon00D007onOoiooP0000aooP03001ooWon00AooP03001ooWon01YooP0057on0P0047on 0P0047on00<007on00003Won00D007onOoiooP0000eooP03001ooWon009ooP03001ooWon00UooP03 001ooWon00EooP03001ooWon01UooP0057on0P0047on00<007on00003gon00@007onOoh000eooP05 001ooWonOoh0000=Ooh00`00OoiooP03Ooh00`00OoiooP08Ooh00`00OoiooP05Ooh00`00OoiooP0I Ooh001AooP80011ooP03001ooP0000mooP04001ooWon000=Ooh00`00OoiooP02Ooh00`00OoiooP0: Ooh00`00OoiooP03Ooh00`00OoiooP08Ooh00`00OoiooP06Ooh00`00OoiooP0HOoh001AooP80011o oP03001ooP0000mooP05001ooWonOoh0000Ooh01@00OoiooWon000037on00<007onOoh00gon00<007onOoh02Gon00<007onOoh0 1Gon00<007onOoh01Won00<007onOoh027on00<007onOoh05Won000DOoh00`00Ooh0000?Ooh01000 OoiooP003Won00D007onOoiooP0000aooP03001ooWon00AooP03001ooWon00QooP03001ooWon00Io oP03001ooWon00EooP03001ooWon00UooP03001ooWon01EooP0057on00<007on00003gon00@007on Ooh000iooP03001ooWon009ooP03001ooWon00UooP03001ooWon00AooP03001ooWon00QooP03001o oWon00MooP03001ooWon00AooP03001ooWon00YooP03001ooWon01AooP0057on00<007on00003gon 00D007onOoiooP0000eooP03001ooWon009ooP03001ooWon00UooP03001ooWon00EooP03001ooWon 00MooP03001ooWon00QooP03001ooWon00=ooP03001ooWon00YooP03001ooWon01AooP0057on00@0 07onOoh000iooP05001ooWonOoh0000=Ooh00`00OoiooP03Ooh00`00OoiooP08Ooh00`00OoiooP05 Ooh00`00OoiooP07Ooh00`00OoiooP08Ooh00`00OoiooP03Ooh00`00OoiooP0;Ooh00`00OoiooP0C Ooh001AooP04001ooWon000>Ooh00`00OoiooP02Ooh00`00OoiooP0:Ooh00`00OoiooP03Ooh00`00 OoiooP08Ooh00`00OoiooP06Ooh00`00OoiooP06Ooh00`00OoiooP09Ooh00`00OoiooP02Ooh00`00 OoiooP0Ooh0 01AooP03001ooWon009ooP03001ooWon00YooP03001ooWon00AooP03001ooWon00QooP03001ooWon 00MooP03001ooWon00AooP03001ooWon00YooP03001ooWon009ooP03001ooWon00eooP8001=ooP03 001ooWon00eooP0057on00<007onOoh00gon00<007onOoh02Gon00<007onOoh01Gon00<007onOoh0 1gon00<007onOoh01gon00<007onOoh017on00<007onOoh02Won00<007onOoh00Won00<007onOoh0 3Won00<007onOoh04Gon00<007onOoh03Gon000DOoh00`00OoiooP03Ooh00`00OoiooP09Ooh00`00 OoiooP05Ooh00`00OoiooP07Ooh00`00OoiooP08Ooh00`00OoiooP03Ooh00`00OoiooP0;Ooh01@00 OoiooWon000047on00<007onOoh04Won00<007onOoh037on000DOoh00`00OoiooP03Ooh00`00Ooio oP09Ooh00`00OoiooP05Ooh00`00OoiooP07Ooh00`00OoiooP08Ooh00`00OoiooP03Ooh00`00Ooio oP0Ooh0 0`00OoiooP0?Ooh01000OoiooP003Gon00<007onOoh01Won00<007onOoh03Gon1`0017on000DOoh0 0`00OoiooP07Ooh00`00OoiooP05Ooh00`00OoiooP0:Ooh00`00OoiooP02Ooh00`00OoiooP0>Ooh0 0`00OoiooP0?Ooh01000OoiooP003Gon00<007onOoh01Won00<007onOoh01Gon20002gon000DOoh0 0`00OoiooP07Ooh00`00OoiooP05Ooh00`00OoiooP0;Ooh01@00OoiooWon000047on00<007onOoh0 3gon00D007onOoiooP0000aooP03001ooWon00MooP03001ooP0000@001=ooP0057on00<007onOoh0 1gon00<007onOoh01Gon00<007onOoh02gon00D007onOoiooP00011ooP80011ooP03001ooWon009o oP03001ooWon00UooP03001ooWon00T001QooP0057on00<007onOoh027on00<007onOoh017on00<0 07onOoh02gon00D007onOoiooP00011ooP80011ooP03001ooWon009ooP03001ooWon00AooPP0025o oP0057on00<007onOoh027on00<007onOoh017on00<007onOoh037on00@007onOoh0011ooP80011o oP03001ooWon00T000EooP03001ooWon025ooP0057on00<007onOoh027on00<007onOoh017on00<0 07onOoh037on00@007onOoh0011ooP03001ooP0000UooPT000iooP03001ooWon025ooP0057onF@00 8gon000POoh00`00OoiooP0COoh00`00OoiooP0?Ooh50013Ooh0025ooP03001ooWon01=ooP03001o oWon00EooPT004QooP008Gon00<007onOoh04Won2@00DGon000QOoh00`00OoiooP0:Ooh8001JOoh0 029ooP03001ooWon00T0069ooP008Won0`00Jgon002@Ooh0091ooP00\ \>"], ImageRangeCache->{{{0, 143}, {104.625, 0}} -> {-0.735859, -0.593256, \ 0.0113407, 0.0113407}}] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(Block[{L = 1, H = 1, shape = Join[rettangolo, grigliaO]}, ParametricPlot[ Evaluate[ Join[shape, Map[\[Phi], shape]] /. qls, {h, \(-\(1\/2\)\), 1\/2}, AspectRatio \[Rule] Automatic, Axes \[Rule] False, ImageSize -> 144, PlotStyle \[Rule] AbsoluteThickness[1]]]];\)\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .73377 %%ImageSize: 144 105.662 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.453618 0.618429 0.366883 0.618429 [ [ 0 0 0 0 ] [ 1 .73377 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .73377 L 0 .73377 L closepath clip newpath 0 g 1 Mabswid [ ] 0 setdash .1444 .05767 m .16949 .05767 L .19685 .05767 L .22255 .05767 L .24726 .05767 L .27356 .05767 L .29888 .05767 L .3258 .05767 L .35172 .05767 L .37667 .05767 L .40321 .05767 L .42876 .05767 L .45333 .05767 L .47949 .05767 L .50466 .05767 L .53143 .05767 L .55722 .05767 L .58202 .05767 L .60841 .05767 L .63382 .05767 L .66082 .05767 L .68684 .05767 L .71187 .05767 L .7385 .05767 L .76283 .05767 L s .1444 .6761 m .16949 .6761 L .19685 .6761 L .22255 .6761 L .24726 .6761 L .27356 .6761 L .29888 .6761 L .3258 .6761 L .35172 .6761 L .37667 .6761 L .40321 .6761 L .42876 .6761 L .45333 .6761 L .47949 .6761 L .50466 .6761 L .53143 .6761 L .55722 .6761 L .58202 .6761 L .60841 .6761 L .63382 .6761 L .66082 .6761 L .68684 .6761 L .71187 .6761 L .7385 .6761 L .76283 .6761 L s .1444 .05767 m .1444 .08276 L .1444 .11012 L .1444 .13581 L .1444 .16052 L .1444 .18683 L .1444 .21215 L .1444 .23906 L .1444 .26499 L .1444 .28993 L .1444 .31647 L .1444 .34202 L .1444 .36659 L .1444 .39275 L .1444 .41793 L .1444 .4447 L .1444 .47048 L .1444 .49528 L .1444 .52168 L .1444 .54709 L .1444 .57409 L .1444 .6001 L .1444 .62514 L .1444 .65176 L .1444 .6761 L s .76283 .05767 m .76283 .08276 L .76283 .11012 L .76283 .13581 L .76283 .16052 L .76283 .18683 L .76283 .21215 L .76283 .23906 L .76283 .26499 L .76283 .28993 L .76283 .31647 L .76283 .34202 L .76283 .36659 L .76283 .39275 L .76283 .41793 L .76283 .4447 L .76283 .47048 L .76283 .49528 L .76283 .52168 L .76283 .54709 L .76283 .57409 L .76283 .6001 L .76283 .62514 L .76283 .65176 L .76283 .6761 L s .1444 .18135 m .16949 .18135 L .19685 .18135 L .22255 .18135 L .24726 .18135 L .27356 .18135 L .29888 .18135 L .3258 .18135 L .35172 .18135 L .37667 .18135 L .40321 .18135 L .42876 .18135 L .45333 .18135 L .47949 .18135 L .50466 .18135 L .53143 .18135 L .55722 .18135 L .58202 .18135 L .60841 .18135 L .63382 .18135 L .66082 .18135 L .68684 .18135 L .71187 .18135 L .7385 .18135 L .76283 .18135 L s .1444 .30504 m .16949 .30504 L .19685 .30504 L .22255 .30504 L .24726 .30504 L .27356 .30504 L .29888 .30504 L .3258 .30504 L .35172 .30504 L .37667 .30504 L .40321 .30504 L .42876 .30504 L .45333 .30504 L .47949 .30504 L .50466 .30504 L .53143 .30504 L .55722 .30504 L .58202 .30504 L .60841 .30504 L .63382 .30504 L .66082 .30504 L .68684 .30504 L .71187 .30504 L .7385 .30504 L .76283 .30504 L s .1444 .42873 m .16949 .42873 L .19685 .42873 L .22255 .42873 L .24726 .42873 L .27356 .42873 L .29888 .42873 L .3258 .42873 L .35172 .42873 L .37667 .42873 L .40321 .42873 L .42876 .42873 L .45333 .42873 L .47949 .42873 L .50466 .42873 L .53143 .42873 L .55722 .42873 L .58202 .42873 L .60841 .42873 L .63382 .42873 L .66082 .42873 L .68684 .42873 L .71187 .42873 L .7385 .42873 L .76283 .42873 L s .1444 .55241 m .16949 .55241 L .19685 .55241 L .22255 .55241 L .24726 .55241 L .27356 .55241 L .29888 .55241 L .3258 .55241 L .35172 .55241 L .37667 .55241 L .40321 .55241 L .42876 .55241 L .45333 .55241 L .47949 .55241 L .50466 .55241 L .53143 .55241 L .55722 .55241 L .58202 .55241 L .60841 .55241 L .63382 .55241 L .66082 .55241 L .68684 .55241 L .71187 .55241 L .7385 .55241 L .76283 .55241 L s .02381 .01747 m .04614 .02123 L .07049 .02534 L .09336 .02919 L .11535 .0329 L .13876 .03684 L .1613 .04064 L .18525 .04468 L .20833 .04857 L .23053 .05231 L .25414 .05629 L .27689 .06012 L .29875 .06381 L .32203 .06773 L .34444 .07151 L .36827 .07553 L .39121 .07939 L .41329 .08311 L .43678 .08707 L .45939 .09088 L .48342 .09493 L .50658 .09884 L .52886 .10259 L .55255 .10658 L .57421 .11023 L s .24026 .7163 m .27011 .71253 L .30267 .70843 L .33325 .70457 L .36266 .70087 L .39396 .69692 L .42409 .69312 L .45612 .68909 L .48697 .6852 L .51666 .68146 L .54823 .67748 L .57864 .67364 L .60788 .66996 L .63901 .66603 L .66897 .66226 L .70083 .65824 L .73151 .65437 L .76102 .65065 L .79243 .64669 L .82267 .64288 L .8548 .63883 L .88576 .63493 L .91555 .63118 L .94723 .62718 L .97619 .62353 L s .02381 .01747 m .03259 .04582 L .04217 .07674 L .05116 .10577 L .05981 .1337 L .06902 .16342 L .07788 .19203 L .0873 .22245 L .09637 .25174 L .1051 .27993 L .11439 .30992 L .12333 .33879 L .13193 .36655 L .14109 .39612 L .1499 .42457 L .15927 .45481 L .16829 .48395 L .17697 .51198 L .18621 .5418 L .19511 .57051 L .20456 .60102 L .21366 .63042 L .22242 .65871 L .23174 .6888 L .24026 .7163 L s .57421 .11024 m .59052 .13106 L .6083 .15377 L .62501 .17509 L .64107 .19561 L .65817 .21744 L .67462 .23845 L .69212 .26079 L .70897 .28231 L .72518 .30302 L .74243 .32504 L .75904 .34625 L .77501 .36664 L .79202 .38835 L .80838 .40925 L .82578 .43147 L .84254 .45287 L .85866 .47346 L .87582 .49536 L .89233 .51645 L .90988 .53886 L .92679 .56046 L .94307 .58123 L .96037 .60333 L .97619 .62353 L s .0671 .15724 m .09093 .15949 L .11693 .16196 L .14134 .16427 L .16481 .16649 L .1898 .16886 L .21386 .17114 L .23942 .17356 L .26406 .17589 L .28775 .17814 L .31296 .18053 L .33724 .18283 L .36058 .18504 L .38543 .18739 L .40935 .18966 L .43478 .19207 L .45927 .19439 L .48283 .19662 L .50791 .199 L .53205 .20128 L .5577 .20371 L .58241 .20605 L .60619 .20831 L .63149 .2107 L .65461 .21289 L s .11039 .297 m .13573 .29775 L .16336 .29857 L .18932 .29934 L .21427 .30009 L .24084 .30088 L .26642 .30164 L .2936 .30244 L .31978 .30322 L .34498 .30397 L .37178 .30476 L .39759 .30553 L .4224 .30627 L .44882 .30705 L .47425 .30781 L .50129 .30861 L .52733 .30939 L .55238 .31013 L .57904 .31092 L .6047 .31168 L .63197 .31249 L .65825 .31327 L .68353 .31402 L .71042 .31482 L .735 .31555 L s .15368 .43677 m .18052 .43601 L .2098 .43519 L .23729 .43442 L .26374 .43368 L .29188 .43289 L .31897 .43213 L .34777 .43132 L .37551 .43055 L .4022 .4298 L .4306 .429 L .45794 .42823 L .48423 .4275 L .51222 .42671 L .53916 .42596 L .5678 .42515 L .59539 .42438 L .62193 .42364 L .65017 .42285 L .67736 .42208 L .70625 .42127 L .73409 .42049 L .76087 .41974 L .78936 .41894 L .8154 .41821 L s .19697 .57653 m .22532 .57427 L .25624 .57181 L .28527 .5695 L .3132 .56727 L .34292 .56491 L .37153 .56263 L .40194 .56021 L .43124 .55787 L .45943 .55563 L .48942 .55324 L .51829 .55094 L .54605 .54873 L .57561 .54637 L .60406 .54411 L .63431 .5417 L .66345 .53938 L .69147 .53715 L .7213 .53477 L .75001 .53248 L .78052 .53005 L .80992 .52771 L .83821 .52546 L .8683 .52306 L .89579 .52087 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{144, 105.625}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg7on00<0 07onOoh04Gon00<007onOoh08Gon000:Ooh00`00OoiooP07Ooh00`00OoiooP09Ooh;000^Ooh00`00 OoiooP0@Ooh00`00OoiooP0QOoh000]ooP03001ooWon00IooUT002=ooP002gon00<007onOoh01Won 00<007onOoh07Won2`006Won00<007onOoh03gon00<007onOoh08Gon000;Ooh00`00OoiooP06Ooh0 0`00OoiooP0YOoh:000AOoh00`00OoiooP0>Ooh00`00OoiooP0QOoh000]ooP03001ooWon00IooP03 001ooWon03=ooP/000MooP03001ooWon00eooP03001ooWon025ooP0037on00<007onOoh01Gon00<0 07onOoh0?Won2@003Won00<007onOoh08Gon000Ooh00`00Ooio oP04Ooh00`00OoiooP0QOoh000mooP03001ooWon009ooP03001ooWon04mooP03001ooWon00=ooP03 001ooWon025ooP003gon2P00CGon00<007onOoh00gon00<007onOoh08Gon000@Ooh01000OoiooWon F@008gon000@Ooh01@00OoiooWon00009Gon8P0037on00D007onOoiooP0002=ooP0047on00D007on OoiooP0004MooPh0009ooP03001ooWon025ooP0047on00D007onOoiooP0005EooP03001ooP0002=o oP004Gon00@007onOoh005IooP8002=ooP004Gon00@007onOoh005IooP8002=ooP004Gon00@007on Ooh005MooP03001ooWon025ooP004Won00<007on0000Egon0P008Won000BOoh00`00Ooh0001GOoh2 000ROoh001=ooP8005MooP03001ooP00025ooP004gon0P00Egon00@007onOoh0021ooP004gon0P00 Egon00D007onOoiooP0001mooP0057on00<007onOoh0EGon00<007onOoh00Won00<007onOoh077on 000DOoh00`00OoiooP1EOoh00`00OoiooP03Ooh00`00OoiooP0KOoh001AooP03001ooWon05EooP03 001ooWon00=ooP03001ooWon01]ooP0057on00<007onOoh0EGon00<007onOoh017on00<007onOoh0 6Won000DOoh2001FOoh00`00OoiooP05Ooh00`00OoiooP0IOoh001AooP8003YooRD001]ooP0057on F@0027on00<007onOoh067on000DOohH0010Ooh00`00OoiooP07Ooh00`00OoiooP0GOoh001AooP03 001ooP0005EooP03001ooWon00QooP03001ooWon01IooP0057on00<007on0000EGon00<007onOoh0 2Gon00<007onOoh05Gon000DOoh00`00Ooh0001EOoh00`00OoiooP0:Ooh00`00OoiooP0DOoh001Ao oP03001ooP0005EooP03001ooWon00YooP03001ooWon01AooP0057on00@007onOoh005AooP03001o oWon00]ooP03001ooWon01=ooP0057on00@007onOoh005AooP03001ooWon00aooP03001ooWon019o oP0057on00D007onOoiooP0005=ooP03001ooWon00aooP03001ooWon019ooP0057on00D007onOoio oP0005=ooP03001ooWon00eooP03001ooWon015ooP0057on00D007onOoiooP0005=ooP03001ooWon 00iooP03001ooWon011ooP0057on00<007onOoh00Won00<007onOoh0D7on00<007onOoh03gon00<0 07onOoh03gon000DOoh00`00OoiooP02Ooh00`00OoiooP1@Ooh00`00OoiooP0?Ooh00`00OoiooP0? Ooh001AooP03001ooWon009ooP03001ooWon051ooP03001ooWon00]ooPH0011ooP0057on00<007on Ooh00Won00<007onOoh0D7on00<007on00002`001Won00<007onOoh03Gon000DOoh00`00OoiooP03 Ooh00`00OoiooP14Ooh=000BOoh00`00OoiooP0=Ooh001AooP03001ooWon00=ooP03001ooWon03Qo oP`000]ooP03001ooWon019ooP03001ooWon00aooP0057on00<007onOoh00gon00<007onOoh0:gon 3@005gon00<007onOoh04gon00<007onOoh02gon000DOoiI000FOoh00`00OoiooP0:Ooh001AooP03 001ooWon00AooP03001ooWon015ooPd0031ooP03001ooWon01EooP03001ooWon00UooP0057on00<0 07onOoh01Gon00<007onOoh017on3000?Gon00<007onOoh05Won00<007onOoh027on000DOoh00`00 OoiooP05Ooh70019Ooh00`00OoiooP0FOoh00`00OoiooP08Ooh001AooP03001ooWon00EooP03001o oWon04eooP03001ooWon01MooP03001ooWon00MooP0057on00<007onOoh01Won00<007onOoh0C7on 00<007onOoh067on00<007onOoh01Won000DOoh00`00OoiooP06Ooh00`00OoiooP1"], ImageRangeCache->{{{0, 143}, {104.625, 0}} -> {-0.735859, -0.593256, \ 0.0113407, 0.0113407}}] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(Block[{L = 1, H = 1, shape = Join[rettangolo, grigliaV, grigliaO]}, ParametricPlot[ Evaluate[ Join[shape, Map[\[Phi], shape]] /. qls, {h, \(-\(1\/2\)\), 1\/2}, AspectRatio \[Rule] Automatic, Axes \[Rule] False, ImageSize -> 144, PlotStyle \[Rule] AbsoluteThickness[1]]]];\)\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .73377 %%ImageSize: 144 105.662 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.453618 0.618429 0.366883 0.618429 [ [ 0 0 0 0 ] [ 1 .73377 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .73377 L 0 .73377 L closepath clip newpath 0 g 1 Mabswid [ ] 0 setdash .1444 .05767 m .16949 .05767 L .19685 .05767 L .22255 .05767 L .24726 .05767 L .27356 .05767 L .29888 .05767 L .3258 .05767 L .35172 .05767 L .37667 .05767 L .40321 .05767 L .42876 .05767 L .45333 .05767 L .47949 .05767 L .50466 .05767 L .53143 .05767 L .55722 .05767 L .58202 .05767 L .60841 .05767 L .63382 .05767 L .66082 .05767 L .68684 .05767 L .71187 .05767 L .7385 .05767 L .76283 .05767 L s .1444 .6761 m .16949 .6761 L .19685 .6761 L .22255 .6761 L .24726 .6761 L .27356 .6761 L .29888 .6761 L .3258 .6761 L .35172 .6761 L .37667 .6761 L .40321 .6761 L .42876 .6761 L .45333 .6761 L .47949 .6761 L .50466 .6761 L .53143 .6761 L .55722 .6761 L .58202 .6761 L .60841 .6761 L .63382 .6761 L .66082 .6761 L .68684 .6761 L .71187 .6761 L .7385 .6761 L .76283 .6761 L s .1444 .05767 m .1444 .08276 L .1444 .11012 L .1444 .13581 L .1444 .16052 L .1444 .18683 L .1444 .21215 L .1444 .23906 L .1444 .26499 L .1444 .28993 L .1444 .31647 L .1444 .34202 L .1444 .36659 L .1444 .39275 L .1444 .41793 L .1444 .4447 L .1444 .47048 L .1444 .49528 L .1444 .52168 L .1444 .54709 L .1444 .57409 L .1444 .6001 L .1444 .62514 L .1444 .65176 L .1444 .6761 L s .76283 .05767 m .76283 .08276 L .76283 .11012 L .76283 .13581 L .76283 .16052 L .76283 .18683 L .76283 .21215 L .76283 .23906 L .76283 .26499 L .76283 .28993 L .76283 .31647 L .76283 .34202 L .76283 .36659 L .76283 .39275 L .76283 .41793 L .76283 .4447 L .76283 .47048 L .76283 .49528 L .76283 .52168 L .76283 .54709 L .76283 .57409 L .76283 .6001 L .76283 .62514 L .76283 .65176 L .76283 .6761 L s .26809 .05767 m .26809 .08276 L .26809 .11012 L .26809 .13581 L .26809 .16052 L .26809 .18683 L .26809 .21215 L .26809 .23906 L .26809 .26499 L .26809 .28993 L .26809 .31647 L .26809 .34202 L .26809 .36659 L .26809 .39275 L .26809 .41793 L .26809 .4447 L .26809 .47048 L .26809 .49528 L .26809 .52168 L .26809 .54709 L .26809 .57409 L .26809 .6001 L .26809 .62514 L .26809 .65176 L .26809 .6761 L s .39177 .05767 m .39177 .08276 L .39177 .11012 L .39177 .13581 L .39177 .16052 L .39177 .18683 L .39177 .21215 L .39177 .23906 L .39177 .26499 L .39177 .28993 L .39177 .31647 L .39177 .34202 L .39177 .36659 L .39177 .39275 L .39177 .41793 L .39177 .4447 L .39177 .47048 L .39177 .49528 L .39177 .52168 L .39177 .54709 L .39177 .57409 L .39177 .6001 L .39177 .62514 L .39177 .65176 L .39177 .6761 L s .51546 .05767 m .51546 .08276 L .51546 .11012 L .51546 .13581 L .51546 .16052 L .51546 .18683 L .51546 .21215 L .51546 .23906 L .51546 .26499 L .51546 .28993 L .51546 .31647 L .51546 .34202 L .51546 .36659 L .51546 .39275 L .51546 .41793 L .51546 .4447 L .51546 .47048 L .51546 .49528 L .51546 .52168 L .51546 .54709 L .51546 .57409 L .51546 .6001 L .51546 .62514 L .51546 .65176 L .51546 .6761 L s .63915 .05767 m .63915 .08276 L .63915 .11012 L .63915 .13581 L .63915 .16052 L .63915 .18683 L .63915 .21215 L .63915 .23906 L .63915 .26499 L .63915 .28993 L .63915 .31647 L .63915 .34202 L .63915 .36659 L .63915 .39275 L .63915 .41793 L .63915 .4447 L .63915 .47048 L .63915 .49528 L .63915 .52168 L .63915 .54709 L .63915 .57409 L .63915 .6001 L .63915 .62514 L .63915 .65176 L .63915 .6761 L s .1444 .18135 m .16949 .18135 L .19685 .18135 L .22255 .18135 L .24726 .18135 L .27356 .18135 L .29888 .18135 L .3258 .18135 L .35172 .18135 L .37667 .18135 L .40321 .18135 L .42876 .18135 L .45333 .18135 L .47949 .18135 L .50466 .18135 L .53143 .18135 L .55722 .18135 L .58202 .18135 L .60841 .18135 L .63382 .18135 L .66082 .18135 L .68684 .18135 L .71187 .18135 L .7385 .18135 L .76283 .18135 L s .1444 .30504 m .16949 .30504 L .19685 .30504 L .22255 .30504 L .24726 .30504 L .27356 .30504 L .29888 .30504 L .3258 .30504 L .35172 .30504 L .37667 .30504 L .40321 .30504 L .42876 .30504 L .45333 .30504 L .47949 .30504 L .50466 .30504 L .53143 .30504 L .55722 .30504 L .58202 .30504 L .60841 .30504 L .63382 .30504 L .66082 .30504 L .68684 .30504 L .71187 .30504 L .7385 .30504 L .76283 .30504 L s .1444 .42873 m .16949 .42873 L .19685 .42873 L .22255 .42873 L .24726 .42873 L .27356 .42873 L .29888 .42873 L .3258 .42873 L .35172 .42873 L .37667 .42873 L .40321 .42873 L .42876 .42873 L .45333 .42873 L .47949 .42873 L .50466 .42873 L .53143 .42873 L .55722 .42873 L .58202 .42873 L .60841 .42873 L .63382 .42873 L .66082 .42873 L .68684 .42873 L .71187 .42873 L .7385 .42873 L .76283 .42873 L s .1444 .55241 m .16949 .55241 L .19685 .55241 L .22255 .55241 L .24726 .55241 L .27356 .55241 L .29888 .55241 L .3258 .55241 L .35172 .55241 L .37667 .55241 L .40321 .55241 L .42876 .55241 L .45333 .55241 L .47949 .55241 L .50466 .55241 L .53143 .55241 L .55722 .55241 L .58202 .55241 L .60841 .55241 L .63382 .55241 L .66082 .55241 L .68684 .55241 L .71187 .55241 L .7385 .55241 L .76283 .55241 L s .02381 .01747 m .04614 .02123 L .07049 .02534 L .09336 .02919 L .11535 .0329 L .13876 .03684 L .1613 .04064 L .18525 .04468 L .20833 .04857 L .23053 .05231 L .25414 .05629 L .27689 .06012 L .29875 .06381 L .32203 .06773 L .34444 .07151 L .36827 .07553 L .39121 .07939 L .41329 .08311 L .43678 .08707 L .45939 .09088 L .48342 .09493 L .50658 .09884 L .52886 .10259 L .55255 .10658 L .57421 .11023 L s .24026 .7163 m .27011 .71253 L .30267 .70843 L .33325 .70457 L .36266 .70087 L .39396 .69692 L .42409 .69312 L .45612 .68909 L .48697 .6852 L .51666 .68146 L .54823 .67748 L .57864 .67364 L .60788 .66996 L .63901 .66603 L .66897 .66226 L .70083 .65824 L .73151 .65437 L .76102 .65065 L .79243 .64669 L .82267 .64288 L .8548 .63883 L .88576 .63493 L .91555 .63118 L .94723 .62718 L .97619 .62353 L s .02381 .01747 m .03259 .04582 L .04217 .07674 L .05116 .10577 L .05981 .1337 L .06902 .16342 L .07788 .19203 L .0873 .22245 L .09637 .25174 L .1051 .27993 L .11439 .30992 L .12333 .33879 L .13193 .36655 L .14109 .39612 L .1499 .42457 L .15927 .45481 L .16829 .48395 L .17697 .51198 L .18621 .5418 L .19511 .57051 L .20456 .60102 L .21366 .63042 L .22242 .65871 L .23174 .6888 L .24026 .7163 L s .57421 .11024 m .59052 .13106 L .6083 .15377 L .62501 .17509 L .64107 .19561 L .65817 .21744 L .67462 .23845 L .69212 .26079 L .70897 .28231 L .72518 .30302 L .74243 .32504 L .75904 .34625 L .77501 .36664 L .79202 .38835 L .80838 .40925 L .82578 .43147 L .84254 .45287 L .85866 .47346 L .87582 .49536 L .89233 .51645 L .90988 .53886 L .92679 .56046 L .94307 .58123 L .96037 .60333 L .97619 .62353 L s .13389 .03602 m .14418 .06287 L .15539 .09214 L .16593 .11964 L .17606 .14608 L .18685 .17423 L .19723 .20132 L .20826 .23011 L .21889 .25786 L .22912 .28455 L .24 .31294 L .25048 .34028 L .26055 .36657 L .27127 .39456 L .2816 .4215 L .29257 .45015 L .30314 .47774 L .31331 .50427 L .32413 .53251 L .33455 .5597 L .34562 .58859 L .35629 .61643 L .36655 .64322 L .37747 .6717 L .38745 .69774 L s .24397 .05458 m .25576 .07992 L .26862 .10755 L .2807 .1335 L .29231 .15846 L .30468 .18503 L .31658 .2106 L .32923 .23778 L .34141 .26397 L .35314 .28917 L .36561 .31597 L .37762 .34178 L .38916 .36659 L .40146 .39301 L .41329 .41844 L .42587 .44548 L .43799 .47152 L .44965 .49657 L .46205 .52322 L .474 .54889 L .48669 .57616 L .49892 .60244 L .51068 .62772 L .52319 .65461 L .53463 .67919 L s .35405 .07313 m .36735 .09696 L .38185 .12296 L .39547 .14737 L .40856 .17084 L .42251 .19583 L .43593 .21989 L .45019 .24545 L .46393 .27008 L .47715 .29378 L .49122 .31899 L .50476 .34327 L .51778 .36661 L .53165 .39146 L .54499 .41538 L .55918 .44081 L .57284 .4653 L .58599 .48886 L .59998 .51394 L .61344 .53808 L .62775 .56373 L .64154 .58844 L .65481 .61222 L .66892 .63752 L .68182 .66064 L s .46413 .09168 m .47893 .11401 L .49508 .13836 L .51024 .16123 L .52482 .18322 L .54034 .20664 L .55527 .22917 L .57115 .25312 L .58645 .2762 L .60117 .2984 L .61682 .32202 L .6319 .34476 L .6464 .36662 L .66183 .38991 L .67668 .41231 L .69248 .43614 L .70769 .45909 L .72232 .48116 L .7379 .50465 L .75289 .52726 L .76882 .55129 L .78417 .57445 L .79894 .59673 L .81465 .62043 L .829 .64208 L s .0671 .15724 m .09093 .15949 L .11693 .16196 L .14134 .16427 L .16481 .16649 L .1898 .16886 L .21386 .17114 L .23942 .17356 L .26406 .17589 L .28775 .17814 L .31296 .18053 L .33724 .18283 L .36058 .18504 L .38543 .18739 L .40935 .18966 L .43478 .19207 L .45927 .19439 L .48283 .19662 L .50791 .199 L .53205 .20128 L .5577 .20371 L .58241 .20605 L .60619 .20831 L .63149 .2107 L .65461 .21289 L s .11039 .297 m .13573 .29775 L .16336 .29857 L .18932 .29934 L .21427 .30009 L .24084 .30088 L .26642 .30164 L .2936 .30244 L .31978 .30322 L .34498 .30397 L .37178 .30476 L .39759 .30553 L .4224 .30627 L .44882 .30705 L .47425 .30781 L .50129 .30861 L .52733 .30939 L .55238 .31013 L .57904 .31092 L .6047 .31168 L .63197 .31249 L .65825 .31327 L .68353 .31402 L .71042 .31482 L .735 .31555 L s .15368 .43677 m .18052 .43601 L .2098 .43519 L .23729 .43442 L .26374 .43368 L .29188 .43289 L .31897 .43213 L .34777 .43132 L .37551 .43055 L .4022 .4298 L .4306 .429 L .45794 .42823 L .48423 .4275 L .51222 .42671 L .53916 .42596 L .5678 .42515 L .59539 .42438 L .62193 .42364 L .65017 .42285 L .67736 .42208 L .70625 .42127 L .73409 .42049 L .76087 .41974 L .78936 .41894 L .8154 .41821 L s .19697 .57653 m .22532 .57427 L .25624 .57181 L .28527 .5695 L .3132 .56727 L .34292 .56491 L .37153 .56263 L .40194 .56021 L .43124 .55787 L .45943 .55563 L .48942 .55324 L .51829 .55094 L .54605 .54873 L .57561 .54637 L .60406 .54411 L .63431 .5417 L .66345 .53938 L .69147 .53715 L .7213 .53477 L .75001 .53248 L .78052 .53005 L .80992 .52771 L .83821 .52546 L .8683 .52306 L .89579 .52087 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{144, 105.625}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgOoh00`00Ooh0000Ooh00`00OoiooP0QOoh000IooP03001ooWon00]ooP03 001ooP0000iooP8000aooP03001ooWon009ooP03001ooWon00EooPL0009ooP03001ooWon00mooP03 001ooWon00iooP03001ooWon025ooP001gon00<007onOoh02Won00<007on00003Won0P003Gon00D0 07onOoiooP0000YooP04001ooWonOoh3000AOoh00`00OoiooP0>Ooh00`00OoiooP0QOoh000MooP03 001ooWon00YooP03001ooP0000mooP03001ooWon00aooP04001ooWon000:Ooh00`00OoiooP03Ooh7 000;Ooh00`00OoiooP0>Ooh00`00OoiooP0QOoh000MooP03001ooWon00YooP04001ooWon000>Ooh0 0`00OoiooP0Ooh00`00OoiooP0QOoh000QooP03001ooWon00UooP05001ooWonOoh0000= Ooh00`00Ooh0000>Ooh2000=Ooh01000OoiooP002gon00<007onOoh00gon00<007onOoh03Won00<0 07onOoh08Gon0009Ooh00`00OoiooP08Ooh00`00OoiooP02Ooh00`00OoiooP0:Ooh01000OoiooP00 3Won00<007onOoh037on00<007on00002gon00<007onOoh00gon00<007onOoh03Won00<007onOoh0 8Gon0009Ooh20009Ooh00`00OoiooP02Ooh00`00OoiooP0:Ooh01000OoiooP003Won0P003Gon00<0 07on000037on00<007onOoh00Won00<007onOoh03Won00<007onOoh08Gon000:Ooh<0003Ooh00`00 OoiooP0:Ooh01000OoiooP003Won0P003Won0P003Gon00D007onOoiooP00011ooP03001ooWon025o oP002Won00<007onOoh01gon00<007on00002@001Won00D007onOoiooP0000eooP03001ooP0000io oP03001ooWon00aooP04001ooWon000@Ooh00`00OoiooP0QOoh000YooP03001ooWon00MooP03001o oWon00=ooP03001ooWon00=ooP/000eooP03001ooP0000iooP8000iooP03001ooP00011ooP03001o oWon025ooP002gon00<007onOoh01WonF@008gon000;Ooh00`00OoiooP06Ooh00`00OoiooP04Ooh0 0`00OoiooP08Ooh00`00OoiooP02Ooh00`00OoiooP07Ooh;0009Ooh01000OoiooP003Gon0P0047on 00<007onOoh08Gon000;Ooh00`00OoiooP06Ooh00`00OoiooP04Ooh00`00OoiooP08Ooh00`00Ooio oP03Ooh00`00OoiooP09Ooh01@00OoiooWon00000gon2P000Won00<007onOoh037on00<007onOoh0 3Won00<007onOoh08Gon000;Ooh00`00OoiooP06Ooh00`00OoiooP05Ooh00`00OoiooP07Ooh00`00 OoiooP03Ooh00`00OoiooP09Ooh00`00OoiooP02Ooh00`00OoiooP09Ooh<0006Ooh2000?Ooh00`00 OoiooP0QOoh000aooP03001ooWon00EooP03001ooWon00EooP03001ooWon00MooP03001ooWon00Ao oP03001ooWon00QooP03001ooWon009ooP03001ooWon00UooP05001ooWonOoh00007Ooh9000>Ooh0 0`00OoiooP0QOoh000aooP03001ooWon00EooP03001ooWon00EooP03001ooWon00MooP03001ooWon 00AooP03001ooWon00QooP03001ooWon00=ooP03001ooWon00QooP03001ooWon009ooP03001ooWon 00YooP04001ooWon000=Ooh00`00OoiooP0QOoh000aooP03001ooWon00EooP03001ooWon00IooP03 001ooWon00IooP03001ooWon00EooP03001ooWon00MooP03001ooWon00=ooP03001ooWon00QooP03 001ooWon009ooP03001ooWon00YooP05001ooWonOoh0000Ooh00`00OoiooP03Ooh00`00Ooio oP09Ooh00`00OoiooP03Ooh00`00OoiooP08Ooh00`00OoiooP04Ooh00`00OoiooP07Ooh00`00Ooio oP04Ooh00`00OoiooP07Ooh00`00OoiooP05Ooh00`00OoiooP06Ooh00`00OoiooP05Ooh00`00Ooio oP0QOoh000mooP03001ooWon009ooP03001ooWon00UooP03001ooWon00=ooP03001ooWon00QooP03 001ooWon00AooP03001ooWon00QooP03001ooWon00=ooP03001ooWon00QooP03001ooWon00AooP03 001ooWon00MooP03001ooWon00AooP03001ooWon025ooP003gon00<007onOoh00Won00<007onOoh0 2Gon00<007onOoh00gon00<007onOoh02Gon00<007onOoh00gon00<007onOoh027on00<007onOoh0 0gon00<007onOoh027on00<007onOoh017on00<007onOoh027on00<007onOoh00gon00<007onOoh0 8Gon000?Ooh:0008Ooh00`00OoiooP02Ooh00`00OoiooP09Ooh00`00OoiooP03Ooh00`00OoiooP09 Ooh00`00OoiooP02Ooh00`00OoiooP09Ooh00`00OoiooP03Ooh00`00OoiooP08Ooh00`00OoiooP03 Ooh00`00OoiooP0QOoh0011ooP04001ooWonOoiI000SOoh0011ooP05001ooWonOoh0000=Ooh01@00 OoiooWon000037on00<007onOoh00Won00<007on00008@0037on00D007onOoiooP0002=ooP0047on 00D007onOoiooP0000eooP05001ooWonOoh0000=Ooh01@00OoiooWon00003Gon00@007onOoh000eo oP04001ooWonOoh?0002Ooh00`00OoiooP0QOoh0011ooP05001ooWonOoh0000=Ooh01@00OoiooWon 00003Gon00D007onOoiooP0000eooP04001ooWon000>Ooh01000OoiooP003Won00<007on00008gon 000AOoh01000OoiooP003Won00@007onOoh000iooP04001ooWon000>Ooh00`00Ooh0000?Ooh00`00 Ooh0000?Ooh2000SOoh0015ooP04001ooWon000>Ooh01000OoiooP003Won00@007onOoh000iooP03 001ooP0000mooP03001ooP0000mooP8002=ooP004Gon00@007onOoh000iooP04001ooWon000?Ooh0 0`00Ooh0000?Ooh2000@Ooh2000@Ooh00`00OoiooP0QOoh0019ooP03001ooP0000mooP03001ooP00 00mooP03001ooP00011ooP03001ooWon00mooP03001ooWon00iooP80029ooP004Won00<007on0000 3gon00<007on000047on0P0047on00<007onOoh03gon00<007onOoh03Won0P008Won000COoh2000@ Ooh2000@Ooh2000@Ooh2000@Ooh2000?Ooh00`00Ooh0000QOoh001=ooP80011ooP80011ooP80011o oP80011ooP03001ooP0000iooP04001ooWon000POoh001=ooP80011ooP80015ooP03001ooWon00io oP03001ooP0000mooP03001ooP0000iooP05001ooWonOoh0000OOoh001AooP03001ooWon00mooP03 001ooWon00mooP03001ooWon00iooP03001ooP0000mooP04001ooWon000=Ooh00`00OoiooP02Ooh0 0`00OoiooP0LOoh001AooP03001ooWon00mooP03001ooWon00mooP8000mooP04001ooWon000>Ooh0 1000OoiooP003Gon00<007onOoh00gon00<007onOoh06gon000DOoh00`00OoiooP0?Ooh00`00Ooio oP0?Ooh2000?Ooh01000OoiooP003Won00D007onOoiooP0000aooP03001ooWon00=ooP03001ooWon 01]ooP0057on00<007onOoh03gon0P0047on00<007on00003Won00D007onOoiooP0000eooP05001o oWonOoh0000Ooh01@00OoiooWon000037on00<007on Ooh00gon00<007onOoh02Gon00<007onOoh01Gon00<007onOoh01Won00<007onOoh027on00<007on Ooh05Won000DOoh00`00Ooh0000?Ooh01000OoiooP003Won00D007onOoiooP0000aooP03001ooWon 00AooP03001ooWon00QooP03001ooWon00IooP03001ooWon00EooP03001ooWon00UooP03001ooWon 01EooP0057on00<007on00003gon00@007onOoh000iooP03001ooWon009ooP03001ooWon00UooP03 001ooWon00AooP03001ooWon00QooP03001ooWon00MooP03001ooWon00AooP03001ooWon00YooP03 001ooWon01AooP0057on00<007on00003gon00D007onOoiooP0000eooP03001ooWon009ooP03001o oWon00UooP03001ooWon00EooP03001ooWon00MooP03001ooWon00QooP03001ooWon00=ooP03001o oWon00YooP03001ooWon01AooP0057on00@007onOoh000iooP05001ooWonOoh0000=Ooh00`00Ooio oP03Ooh00`00OoiooP08Ooh00`00OoiooP05Ooh00`00OoiooP07Ooh00`00OoiooP08Ooh00`00Ooio oP03Ooh00`00OoiooP0;Ooh00`00OoiooP0COoh001AooP04001ooWon000>Ooh00`00OoiooP02Ooh0 0`00OoiooP0:Ooh00`00OoiooP03Ooh00`00OoiooP08Ooh00`00OoiooP06Ooh00`00OoiooP06Ooh0 0`00OoiooP09Ooh00`00OoiooP02Ooh00`00OoiooP0Ooh00`00OoiooP04Ooh00`00OoiooP0DOoh00`00OoiooP03Ooh001AooP03001o oWon00IooP03001ooWon00IooP03001ooWon00YooP03001ooWon009ooP03001ooWon00eooP80015o oP03001ooP0000iooP03001ooWon00EooP03001ooWon01=ooP03001ooWon00=ooP0057on00<007on Ooh01gon00<007onOoh01Gon00<007onOoh02Won00<007onOoh00Won00<007onOoh03Won00<007on Ooh03gon00@007onOoh000eooP03001ooWon00IooP03001ooWon00eooPL000AooP0057on00<007on Ooh01gon00<007onOoh01Gon00<007onOoh02Won00<007onOoh00Won00<007onOoh03Won00<007on Ooh03gon00@007onOoh000eooP03001ooWon00IooP03001ooWon00EooPP000]ooP0057on00<007on Ooh01gon00<007onOoh01Gon00<007onOoh02gon00D007onOoiooP00011ooP03001ooWon00mooP05 001ooWonOoh0000Ooh00`00OoiooP0QOoh001AooUT002=ooP00 87on00<007onOoh04gon00<007onOoh03gon1@00@gon000QOoh00`00OoiooP0COoh00`00OoiooP05 Ooh90018Ooh0025ooP03001ooWon019ooPT0055ooP008Gon00<007onOoh02Won2000FWon000ROoh0 0`00OoiooP09001ROoh0029ooP<006]ooP00T7on002@Ooh00001\ \>"], ImageRangeCache->{{{0, 143}, {104.625, 0}} -> {-0.735859, -0.593256, \ 0.0113407, 0.0113407}}] }, Open ]], Cell["cerchio inscritto in un quadrato di lato L", "Text"], Cell[BoxData[ \(Lr := L\/2\)], "Input"], Cell[BoxData[ \(cerchio := Lr {{Cos[2\ \[Pi]\ h], Sin[2\ \[Pi]\ h]}}\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(\(fig1 = Block[{L = 1, shape = cerchio}, ParametricPlot[ Evaluate[ Join[shape, Map[\[Phi], shape]] /. qls, {h, \(-\(1\/2\)\), 1\/2}, AspectRatio \[Rule] Automatic, Axes \[Rule] False, ImageSize -> 144, PlotStyle \[Rule] AbsoluteThickness[1]]]];\)\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .86365 %%ImageSize: 144 124.366 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.476232 0.822526 0.431826 0.822526 [ [ 0 0 0 0 ] [ 1 .86365 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .86365 L 0 .86365 L closepath clip newpath 0 g 1 Mabswid [ ] 0 setdash .06497 .43183 m .06498 .42864 L .06501 .42573 L .06508 .42239 L .06516 .41922 L .06537 .41359 L .06569 .40749 L .06614 .40077 L .06674 .39366 L .06813 .38093 L .06998 .36784 L .07209 .35564 L .07826 .32813 L .08648 .30057 L .09567 .27592 L .12199 .2229 L .15086 .18028 L .18818 .13829 L .2286 .10347 L .27625 .07246 L .30108 .05973 L .32884 .04788 L .35348 .03931 L .38108 .03172 L .39427 .02881 L .4085 .02618 L .42087 .02431 L .43439 .0227 L .44233 .02196 L .44968 .02142 L .45672 .02103 L .46028 .02087 L .46421 .02074 L .46774 .02065 L .47097 .0206 L .47453 .02057 L .47631 .02056 L .47827 .02057 L .48157 .0206 L .4851 .02066 L .48844 .02074 L .49146 .02085 L .49772 .02112 L .5046 .02154 L .51847 .02274 L .53128 .02426 L .54322 .02606 L .56989 .03137 L .59809 .03903 L .62405 .04805 L Mistroke .6516 .05983 L .69925 .08628 L .74217 .11812 L .78292 .15782 L .81851 .20382 L .84575 .25128 L .85663 .2755 L .86639 .30177 L .87389 .32692 L .87931 .3502 L .88364 .37561 L .88533 .38969 L .88595 .39618 L .88649 .40306 L .88686 .40895 L .88702 .41208 L .88717 .41544 L .88728 .41853 L .88736 .42136 L .88742 .42406 L .88747 .4269 L .88749 .43001 L .88749 .43332 L .88747 .43645 L .88743 .43929 L .88735 .44263 L .88724 .44625 L .88696 .45281 L .88658 .45922 L .88607 .46609 L .88484 .47847 L .8829 .49313 L .88067 .50644 L .87433 .53506 L .86644 .56172 L .8461 .61165 L .82158 .65514 L .79158 .69582 L .75292 .7361 L .71199 .76881 L .66356 .79795 L .61372 .81943 L .58769 .8277 L .57282 .83159 L .55863 .83475 L .54551 .83721 L .5312 .8394 L .51813 .84095 L .50603 .84201 L .49926 .84244 L Mistroke .49292 .84275 L .48928 .84288 L .48595 .84297 L .48412 .84301 L .48211 .84305 L .48022 .84307 L .47846 .84308 L .47663 .84309 L .47464 .84309 L .47276 .84307 L .47104 .84306 L .46777 .843 L .46431 .84292 L .4606 .84279 L .45713 .84265 L .44925 .8422 L .44221 .84168 L .4357 .84109 L .42101 .83937 L .40813 .83741 L .39452 .83489 L .3712 .82945 L .3459 .82189 L .29727 .80211 L .24816 .77405 L .205 .74097 L .16472 .70034 L .13247 .65758 L .10769 .61436 L .09591 .58832 L .08647 .56307 L .07935 .53962 L .07334 .51439 L .06971 .49411 L .0681 .48251 L .0669 .47163 L .06605 .46162 L .06549 .45246 L .06526 .4474 L .06517 .44472 L .06509 .44188 L .06503 .43914 L .065 .43666 L .06498 .43417 L .06497 .43183 L Mfstroke .04852 .43183 m .04074 .40433 L .03393 .37437 L .03117 .35937 L .02871 .34345 L .02686 .32867 L .02554 .31515 L .02495 .30745 L .02446 .29934 L .02428 .29544 L .02411 .29126 L .02403 .28887 L .02397 .28669 L .02392 .28463 L .02388 .28244 L .02385 .28041 L .02383 .27858 L .02381 .27501 L .02381 .27302 L .02382 .27087 L .02384 .26884 L .02387 .26698 L .02394 .26362 L .02404 .25994 L .02418 .25612 L .02434 .25257 L .02475 .24549 L .02523 .23886 L .02642 .22663 L .02809 .21374 L .03035 .20009 L .03539 .17733 L .04253 .15373 L .05171 .13092 L .06187 .11134 L .07308 .09417 L .08629 .07805 L .09994 .06482 L .11338 .0544 L .12902 .04484 L .14693 .03665 L .15529 .03367 L .1646 .03091 L .17298 .02889 L .1822 .02712 L .1874 .02632 L .19221 .02571 L .19716 .02519 L .20181 .02481 L .20466 .02462 L Mistroke .20726 .02448 L .21017 .02436 L .21177 .0243 L .21328 .02426 L .21606 .02422 L .21862 .0242 L .22145 .02421 L .22288 .02422 L .22445 .02425 L .22596 .02429 L .22761 .02433 L .23062 .02445 L .2363 .02475 L .24301 .02525 L .24928 .02585 L .26088 .02728 L .27344 .02928 L .29661 .03405 L .32238 .04085 L .37096 .05721 L .48763 .11073 L .60477 .17918 L .71509 .2555 L .82122 .34339 L .90327 .43097 L .93669 .47906 L .94884 .50098 L .95938 .52401 L .96689 .54506 L .9702 .55692 L .97264 .56793 L .97357 .5731 L .97433 .57798 L .9749 .5824 L .9754 .58708 L .97561 .58949 L .9758 .59214 L .97595 .59458 L .97605 .59681 L .97613 .59942 L .97616 .60079 L .97618 .60223 L .97619 .60466 L .97616 .60731 L .97608 .61007 L .97598 .6126 L .97581 .61538 L .97559 .61832 L .97511 .62323 L .97441 .6286 L Mistroke .97267 .63843 L .9705 .64752 L .96378 .66745 L .95888 .67837 L .95369 .68816 L .92904 .72235 L .91129 .74033 L .89248 .75601 L .84713 .78485 L .79912 .80641 L .77087 .81602 L .74361 .82351 L .71245 .83015 L .69475 .83309 L .67835 .8353 L .66247 .83698 L .64726 .83817 L .63886 .83867 L .63105 .83902 L .62697 .83916 L .62245 .83928 L .62017 .83933 L .61772 .83938 L .61327 .83943 L .60937 .83945 L .60575 .83945 L .60176 .83942 L .5975 .83936 L .59534 .83932 L .593 .83927 L .58876 .83915 L .58081 .83884 L .57324 .83846 L .56522 .83794 L .55081 .83675 L .53387 .83491 L .51839 .83281 L .48365 .82661 L .45168 .81903 L .42168 .8102 L .35671 .78489 L .29966 .75467 L .24059 .71368 L .19227 .67066 L .14802 .62098 L .10748 .56267 L .07601 .50351 L .05088 .43928 L .04852 .43183 L Mfstroke % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{144, 124.313}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgGon000BOoh00`00OoiooP0JOoh5000S Ooh3000fOoh0011ooP8001]ooP8000EooP8002AooP8003AooP003Won0P006gon0P002Gon0P0097on 0P007on0P0077on00<007onOoh07Gon0005 Ooh00`00OoiooP0>Ooh00`00OoiooP0kOoh2000KOoh00`00OoiooP0LOoh000EooP03001ooWon00eo oP03001ooWon03iooP03001ooWon01QooP03001ooWon01aooP001Gon00<007onOoh037on00<007on Ooh0@7on0P006Gon00<007onOoh06gon0004Ooh00`00OoiooP0=Ooh00`00OoiooP12Ooh00`00Ooio oP0GOoh00`00OoiooP0JOoh000AooP03001ooWon00aooP03001ooWon04AooP8001QooP03001ooWon 01UooP0017on00<007onOoh02gon00<007onOoh0Agon00<007onOoh05Won00<007onOoh067on0004 Ooh00`00OoiooP0;Ooh00`00OoiooP18Ooh00`00OoiooP0EOoh00`00OoiooP0HOoh000=ooP03001o oWon00]ooP03001ooWon04YooP8001IooP03001ooWon01MooP000gon00<007onOoh02Won00<007on Ooh0CGon00<007onOoh04gon00<007onOoh05gon0003Ooh00`00OoiooP0:Ooh00`00OoiooP1>Ooh2 000DOoh00`00OoiooP0FOoh000=ooP03001ooWon00UooP03001ooWon055ooP03001ooWon015ooP03 001ooWon01IooP000gon00<007onOoh02Gon00<007onOoh0DWon0P004Won00<007onOoh05Gon0003 Ooh00`00OoiooP08Ooh00`00OoiooP1EOoh00`00OoiooP0?Ooh00`00OoiooP0EOoh000=ooP03001o oWon00QooP03001ooWon05IooP03001ooWon00mooP03001ooWon01AooP000gon00<007onOoh01gon 00<007onOoh0F7on0P003gon00<007onOoh057on0003Ooh00`00OoiooP07Ooh00`00OoiooP1JOoh0 0`00OoiooP0=Ooh00`00OoiooP0COoh000=ooP03001ooWon00MooP03001ooWon05]ooP03001ooWon 00aooP03001ooWon01=ooP000gon00<007onOoh01Won00<007onOoh0GGon00<007onOoh037on00<0 07onOoh04Won0003Ooh00`00OoiooP06Ooh00`00OoiooP1NOoh2000Ooh00`00OoiooP02Ooh00`00OoiooP1SOoh00`00OoiooP0?Ooh00`00OoiooP02Ooh000iooP03 001ooWon009ooP03001ooWon069ooP03001ooWon011ooP03001ooWon009ooP003gon00<007onOoh0 0Won00<007onOoh0HGon00<007onOoh047on00<007onOoh00Won000@Ooh00`00OoiooP02Ooh00`00 OoiooP1OOoh00`00OoiooP0AOoh00`00OoiooP02Ooh0011ooP03001ooWon00=ooP03001ooWon05io oP03001ooWon015ooP03001ooWon009ooP004Gon00<007onOoh00gon00<007onOoh0G7on00<007on Ooh04Gon00<007onOoh00gon000BOoh00`00OoiooP03Ooh00`00OoiooP1KOoh00`00OoiooP0AOoh0 0`00OoiooP03Ooh0019ooP03001ooWon00=ooP03001ooWon05YooP03001ooWon019ooP03001ooWon 00=ooP004gon00<007onOoh00gon00<007onOoh0FGon00<007onOoh04Gon00<007onOoh017on000D Ooh00`00OoiooP03Ooh00`00OoiooP1GOoh00`00OoiooP0BOoh00`00OoiooP04Ooh001AooP03001o oWon00AooP03001ooWon05IooP03001ooWon019ooP03001ooWon00AooP005Gon00<007onOoh017on 00<007onOoh0E7on00<007onOoh04gon00<007onOoh017on000FOoh00`00OoiooP04Ooh00`00Ooio oP1BOoh00`00OoiooP0COoh00`00OoiooP05Ooh001IooP03001ooWon00EooP80059ooP03001ooWon 019ooP03001ooWon00IooP005gon00<007onOoh01Won00<007onOoh0CWon00<007onOoh04Won00<0 07onOoh01gon000HOoh00`00OoiooP06Ooh00`00OoiooP1Ooh001mo oP03001ooWon00QooP8003]ooP8001IooP03001ooWon00iooP0087on0P002Won0P00>7on00<007on Ooh057on0P004Gon000ROoh00`00OoiooP09Ooh2000eOoh00`00OoiooP0DOoh00`00OoiooP0AOoh0 02=ooP03001ooWon00YooP80035ooP8001EooP8001AooP0097on0P0037on0`00;7on0P005Gon0P00 5Won000VOoh2000=Ooh2000XOoh2000EOoh2000HOoh002QooP8000eooP8002AooP8001EooP8001Yo oP00:Won0P003Gon0P0087on0P005Gon0P0077on000/Ooh2000=Ooh3000KOoh2000EOoh2000NOoh0 02iooP8000iooPD001=ooP<001AooP<0021ooP00<7on0`0047on1@002gon0`004Won1@008gon000c Ooh6000?Ooh50002Ooh4000=Ooh8000XOoh003UooPT000EooQT0031ooP00@Gon1P00BGon002@Ooh0 091ooP00\ \>"], ImageRangeCache->{{{0, 143}, {123.313, 0}} -> {-0.579927, -0.525005, \ 0.00851501, 0.00851501}}] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(fig2 = Block[{L = 1, shape = Join[cerchio, Lr {{2 h, 0}, {0, 2 h}}]}, ParametricPlot[ Evaluate[ Join[shape, Map[\[Phi], shape]] /. qls, {h, \(-\(1\/2\)\), 1\/2}, AspectRatio \[Rule] Automatic, Axes \[Rule] False, ImageSize -> 144, PlotStyle \[Rule] AbsoluteThickness[1]]]];\)\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .86365 %%ImageSize: 144 124.366 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.476232 0.822526 0.431826 0.822526 [ [ 0 0 0 0 ] [ 1 .86365 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .86365 L 0 .86365 L closepath clip newpath 0 g 1 Mabswid [ ] 0 setdash .06497 .43183 m .06498 .42864 L .06501 .42573 L .06508 .42239 L .06516 .41922 L .06537 .41359 L .06569 .40749 L .06614 .40077 L .06674 .39366 L .06813 .38093 L .06998 .36784 L .07209 .35564 L .07826 .32813 L .08648 .30057 L .09567 .27592 L .12199 .2229 L .15086 .18028 L .18818 .13829 L .2286 .10347 L .27625 .07246 L .30108 .05973 L .32884 .04788 L .35348 .03931 L .38108 .03172 L .39427 .02881 L .4085 .02618 L .42087 .02431 L .43439 .0227 L .44233 .02196 L .44968 .02142 L .45672 .02103 L .46028 .02087 L .46421 .02074 L .46774 .02065 L .47097 .0206 L .47453 .02057 L .47631 .02056 L .47827 .02057 L .48157 .0206 L .4851 .02066 L .48844 .02074 L .49146 .02085 L .49772 .02112 L .5046 .02154 L .51847 .02274 L .53128 .02426 L .54322 .02606 L .56989 .03137 L .59809 .03903 L .62405 .04805 L Mistroke .6516 .05983 L .69925 .08628 L .74217 .11812 L .78292 .15782 L .81851 .20382 L .84575 .25128 L .85663 .2755 L .86639 .30177 L .87389 .32692 L .87931 .3502 L .88364 .37561 L .88533 .38969 L .88595 .39618 L .88649 .40306 L .88686 .40895 L .88702 .41208 L .88717 .41544 L .88728 .41853 L .88736 .42136 L .88742 .42406 L .88747 .4269 L .88749 .43001 L .88749 .43332 L .88747 .43645 L .88743 .43929 L .88735 .44263 L .88724 .44625 L .88696 .45281 L .88658 .45922 L .88607 .46609 L .88484 .47847 L .8829 .49313 L .88067 .50644 L .87433 .53506 L .86644 .56172 L .8461 .61165 L .82158 .65514 L .79158 .69582 L .75292 .7361 L .71199 .76881 L .66356 .79795 L .61372 .81943 L .58769 .8277 L .57282 .83159 L .55863 .83475 L .54551 .83721 L .5312 .8394 L .51813 .84095 L .50603 .84201 L .49926 .84244 L Mistroke .49292 .84275 L .48928 .84288 L .48595 .84297 L .48412 .84301 L .48211 .84305 L .48022 .84307 L .47846 .84308 L .47663 .84309 L .47464 .84309 L .47276 .84307 L .47104 .84306 L .46777 .843 L .46431 .84292 L .4606 .84279 L .45713 .84265 L .44925 .8422 L .44221 .84168 L .4357 .84109 L .42101 .83937 L .40813 .83741 L .39452 .83489 L .3712 .82945 L .3459 .82189 L .29727 .80211 L .24816 .77405 L .205 .74097 L .16472 .70034 L .13247 .65758 L .10769 .61436 L .09591 .58832 L .08647 .56307 L .07935 .53962 L .07334 .51439 L .06971 .49411 L .0681 .48251 L .0669 .47163 L .06605 .46162 L .06549 .45246 L .06526 .4474 L .06517 .44472 L .06509 .44188 L .06503 .43914 L .065 .43666 L .06498 .43417 L .06497 .43183 L Mfstroke .06497 .43183 m .09834 .43183 L .13473 .43183 L .1689 .43183 L .20177 .43183 L .23676 .43183 L .27043 .43183 L .30623 .43183 L .34071 .43183 L .37389 .43183 L .40918 .43183 L .44317 .43183 L .47584 .43183 L .51064 .43183 L .54412 .43183 L .57973 .43183 L .61402 .43183 L .64701 .43183 L .68211 .43183 L .71591 .43183 L .75182 .43183 L .78642 .43183 L .81972 .43183 L .85513 .43183 L .8875 .43183 L s .47623 .02056 m .47623 .05393 L .47623 .09032 L .47623 .1245 L .47623 .15736 L .47623 .19235 L .47623 .22603 L .47623 .26182 L .47623 .29631 L .47623 .32948 L .47623 .36478 L .47623 .39876 L .47623 .43144 L .47623 .46623 L .47623 .49972 L .47623 .53532 L .47623 .56962 L .47623 .6026 L .47623 .63771 L .47623 .6715 L .47623 .70741 L .47623 .74202 L .47623 .77531 L .47623 .81072 L .47623 .84309 L s .04852 .43183 m .04074 .40433 L .03393 .37437 L .03117 .35937 L .02871 .34345 L .02686 .32867 L .02554 .31515 L .02495 .30745 L .02446 .29934 L .02428 .29544 L .02411 .29126 L .02403 .28887 L .02397 .28669 L .02392 .28463 L .02388 .28244 L .02385 .28041 L .02383 .27858 L .02381 .27501 L .02381 .27302 L .02382 .27087 L .02384 .26884 L .02387 .26698 L .02394 .26362 L .02404 .25994 L .02418 .25612 L .02434 .25257 L .02475 .24549 L .02523 .23886 L .02642 .22663 L .02809 .21374 L .03035 .20009 L .03539 .17733 L .04253 .15373 L .05171 .13092 L .06187 .11134 L .07308 .09417 L .08629 .07805 L .09994 .06482 L .11338 .0544 L .12902 .04484 L .14693 .03665 L .15529 .03367 L .1646 .03091 L .17298 .02889 L .1822 .02712 L .1874 .02632 L .19221 .02571 L .19716 .02519 L .20181 .02481 L .20466 .02462 L Mistroke .20726 .02448 L .21017 .02436 L .21177 .0243 L .21328 .02426 L .21606 .02422 L .21862 .0242 L .22145 .02421 L .22288 .02422 L .22445 .02425 L .22596 .02429 L .22761 .02433 L .23062 .02445 L .2363 .02475 L .24301 .02525 L .24928 .02585 L .26088 .02728 L .27344 .02928 L .29661 .03405 L .32238 .04085 L .37096 .05721 L .48763 .11073 L .60477 .17918 L .71509 .2555 L .82122 .34339 L .90327 .43097 L .93669 .47906 L .94884 .50098 L .95938 .52401 L .96689 .54506 L .9702 .55692 L .97264 .56793 L .97357 .5731 L .97433 .57798 L .9749 .5824 L .9754 .58708 L .97561 .58949 L .9758 .59214 L .97595 .59458 L .97605 .59681 L .97613 .59942 L .97616 .60079 L .97618 .60223 L .97619 .60466 L .97616 .60731 L .97608 .61007 L .97598 .6126 L .97581 .61538 L .97559 .61832 L .97511 .62323 L .97441 .6286 L Mistroke .97267 .63843 L .9705 .64752 L .96378 .66745 L .95888 .67837 L .95369 .68816 L .92904 .72235 L .91129 .74033 L .89248 .75601 L .84713 .78485 L .79912 .80641 L .77087 .81602 L .74361 .82351 L .71245 .83015 L .69475 .83309 L .67835 .8353 L .66247 .83698 L .64726 .83817 L .63886 .83867 L .63105 .83902 L .62697 .83916 L .62245 .83928 L .62017 .83933 L .61772 .83938 L .61327 .83943 L .60937 .83945 L .60575 .83945 L .60176 .83942 L .5975 .83936 L .59534 .83932 L .593 .83927 L .58876 .83915 L .58081 .83884 L .57324 .83846 L .56522 .83794 L .55081 .83675 L .53387 .83491 L .51839 .83281 L .48365 .82661 L .45168 .81903 L .42168 .8102 L .35671 .78489 L .29966 .75467 L .24059 .71368 L .19227 .67066 L .14802 .62098 L .10748 .56267 L .07601 .50351 L .05088 .43928 L .04852 .43183 L Mfstroke .04852 .43183 m .08322 .43183 L .12107 .43183 L .15661 .43183 L .19079 .43183 L .22718 .43183 L .2622 .43183 L .29943 .43183 L .33529 .43183 L .36979 .43183 L .4065 .43183 L .44185 .43183 L .47583 .43183 L .51202 .43183 L .54684 .43183 L .58387 .43183 L .61953 .43183 L .65384 .43183 L .69035 .43183 L .72549 .43183 L .76284 .43183 L .79883 .43183 L .83346 .43183 L .87029 .43183 L .90395 .43183 L s .2706 .02879 m .28728 .06149 L .30548 .09715 L .32257 .13064 L .339 .16285 L .35649 .19714 L .37333 .23014 L .39123 .26522 L .40847 .29902 L .42506 .33153 L .44271 .36612 L .4597 .39942 L .47604 .43145 L .49344 .46555 L .51018 .49836 L .52798 .53325 L .54513 .56686 L .56162 .59919 L .57917 .63359 L .59607 .66671 L .61403 .7019 L .63133 .73581 L .64797 .76844 L .66568 .80315 L .68186 .83486 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{144, 124.313}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgGon000BOoh00`00OoiooP0COoh00`00Ooio oP04Ooh5000@Ooh00`00OoiooP0@Ooh3000fOoh0011ooP8001IooP03001ooWon009ooP8000EooP80 00iooP03001ooWon01=ooP8003AooP003Won0P006Gon00@007on000000UooP8000aooP03001ooWon 01EooP80039ooP003Gon00<007onOoh06Gon0P003Gon0P002Won00<007onOoh05gon0P00<7on000< Ooh00`00OoiooP0HOoh200000gon001ooP0>Ooh20008Ooh00`00OoiooP0IOoh00`00OoiooP0]Ooh0 00]ooP03001ooWon01MooP8000=ooP03001ooWon00mooP8000IooP03001ooWon01YooP8002eooP00 2gon00<007onOoh05Gon0P001Won00<007onOoh047on0P0017on00<007onOoh077on00<007onOoh0 :Won000:Ooh00`00OoiooP0DOoh20008Ooh00`00OoiooP0BOoh20002Ooh00`00OoiooP0MOoh2000Z Ooh000UooP03001ooWon01AooP03001ooWon00UooP03001ooWon01=ooP<0025ooP8002QooP0027on 00<007onOoh057on00<007onOoh02Won00<007onOoh05Gon0P008Won0P009Won0008Ooh00`00Ooio oP0COoh00`00OoiooP0Ooh00`00OoiooP0HOoh00`00OoiooP0@Ooh00`00 OoiooP0=Ooh2000KOoh00`00OoiooP0LOoh000EooP03001ooWon00eooP03001ooWon01YooP03001o oWon00mooP03001ooWon00mooP03001ooWon01QooP03001ooWon01aooP001Gon00<007onOoh037on 00<007onOoh06gon00<007onOoh03gon00<007onOoh047on0P006Gon00<007onOoh06gon0004Ooh0 0`00OoiooP0=Ooh00`00OoiooP0LOoh00`00OoiooP0>Ooh00`00OoiooP0BOoh00`00OoiooP0GOoh0 0`00OoiooP0JOoh000AooP03001ooWon00aooP03001ooWon01eooP03001ooWon00iooP03001ooWon 01=ooP8001QooP03001ooWon01UooP0017on00<007onOoh02gon00<007onOoh07gon00<007onOoh0 3Gon00<007onOoh05Gon00<007onOoh05Won00<007onOoh067on0004Ooh00`00OoiooP0;Ooh00`00 OoiooP0OOoh00`00OoiooP0=Ooh00`00OoiooP0FOoh00`00OoiooP0EOoh00`00OoiooP0HOoh000=o oP03001ooWon00]ooP03001ooWon025ooP03001ooWon00aooP03001ooWon01MooP8001IooP03001o oWon01MooP000gon00<007onOoh02Won00<007onOoh08Won00<007onOoh037on00<007onOoh06Gon 00<007onOoh04gon00<007onOoh05gon0003Ooh00`00OoiooP0:Ooh00`00OoiooP0ROoh00`00Ooio oP0Won00<007onOoh0=gon00D007onOoiooP0000eooP001gon00<007on0000>Won0P00 >7on00D007onOoiooP0000eooP0027on0P00>Won0P00>7on00<007onOoh00Won00<007onOoh02Won 0008Ooh2000jOoh00`00Ooh0000gOoh00`00OoiooP02Ooh00`00OoiooP0:Ooh000QooP8003YooP03 001ooP0003MooP03001ooWon00=ooP03001ooWon00UooP002Gon00<007onOoh0>7on00<007on0000 =gon00<007onOoh00gon00<007onOoh02Gon0009Ooh00`00OoiooP0hOoh01000OoiooP00=Won00<0 07onOoh017on00<007onOoh027on0009Ooh00`00OoiooP0hOoh01000OoiooP00=Won00<007onOoh0 1Gon00<007onOoh01gon000:Ooh00`00OoiooP0gOoh01@00OoiooWon0000=Gon00<007onOoh01Gon 00<007onOoh01gon000:Ooh00`00OoiooP0gOoh00`00OoiooP02Ooh00`00OoiooP0aOoh00`00Ooio oP07Ooh00`00OoiooP06Ooh000YooP8003QooP03001ooWon009ooP03001ooWon035ooP03001ooWon 00QooP03001ooWon00EooP002Won0P00>7on00<007onOoh00gon00<007onOoh0<7on00<007onOoh0 27on00<007onOoh01Gon000:Ooh00`00Ooh0000gOoh00`00OoiooP03Ooh00`00OoiooP0_Ooh00`00 OoiooP0:Ooh00`00OoiooP04Ooh000]ooP8003MooP03001ooWon00AooP03001ooWon02iooP03001o oWon00YooP03001ooWon00AooP002gon00<007on0000=Won00<007onOoh017on00<007onOoh0;Won 00<007onOoh02gon00<007onOoh00gon000;Ooh00`00Ooh0000fOoh00`00OoiooP05Ooh00`00Ooio oP0]Ooh00`00OoiooP0;Ooh00`00OoiooP03Ooh000]ooP04001ooWon000eOoh00`00OoiooP05Ooh0 0`00OoiooP0/Ooh00`00OoiooP0Ooh00`00OoiooP02Ooh00`00OoiooP0^Ooh00`00 OoiooP09Ooh00`00OoiooP0VOoh00`00OoiooP0?Ooh00`00OoiooP02Ooh000iooP03001ooWon009o oP03001ooWon02iooP03001ooWon00UooP03001ooWon02EooP03001ooWon011ooP03001ooWon009o oP003gon00<007onOoh00Won00<007onOoh0;Gon00<007onOoh02Won00<007onOoh097on00<007on Ooh047on00<007onOoh00Won000@Ooh00`00OoiooP02Ooh00`00OoiooP0/Ooh00`00OoiooP0:Ooh0 0`00OoiooP0SOoh00`00OoiooP0AOoh00`00OoiooP02Ooh0011ooP03001ooWon00=ooP03001ooWon 02]ooP03001ooWon00]ooP03001ooWon029ooP03001ooWon015ooP03001ooWon009ooP004Gon00<0 07onOoh00gon00<007onOoh0:Won00<007onOoh02gon00<007onOoh08Gon00<007onOoh04Gon00<0 07onOoh00gon000BOoh00`00OoiooP03Ooh00`00OoiooP0YOoh00`00OoiooP0Ooh00`00OoiooP0LOoh00`00Ooio oP0BOoh00`00OoiooP04Ooh001AooP03001ooWon00AooP03001ooWon02IooP03001ooWon00iooP03 001ooWon01aooP03001ooWon019ooP03001ooWon00AooP005Gon00<007onOoh017on00<007onOoh0 9Gon00<007onOoh03gon00<007onOoh06Won00<007onOoh04gon00<007onOoh017on000FOoh00`00 OoiooP04Ooh00`00OoiooP0TOoh00`00OoiooP0?Ooh00`00OoiooP0IOoh00`00OoiooP0COoh00`00 OoiooP05Ooh001IooP03001ooWon00EooP8002AooP03001ooWon011ooP03001ooWon01QooP03001o oWon019ooP03001ooWon00IooP005gon00<007onOoh01Won00<007onOoh08Gon00<007onOoh047on 00<007onOoh05gon00<007onOoh04Won00<007onOoh01gon000HOoh00`00OoiooP06Ooh00`00Ooio oP0POoh00`00OoiooP0AOoh00`00OoiooP0EOoh00`00OoiooP0COoh00`00OoiooP07Ooh001UooP03 001ooWon00IooP03001ooWon01mooP03001ooWon015ooP03001ooWon01AooP03001ooWon01=ooP03 001ooWon00QooP006Won00<007onOoh01Won00<007onOoh07Won00<007onOoh04Won00<007onOoh0 4Gon0P005Gon00<007onOoh02Gon000KOoh00`00OoiooP06Ooh2000NOoh00`00OoiooP0BOoh00`00 OoiooP0@Ooh00`00OoiooP0DOoh00`00OoiooP0:Ooh001aooP03001ooWon00MooP03001ooWon01]o oP03001ooWon01=ooP03001ooWon00iooP03001ooWon01EooP03001ooWon00YooP007Gon00<007on Ooh01gon00<007onOoh06Won00<007onOoh04gon00<007onOoh03Gon00<007onOoh05Gon00<007on Ooh02gon000NOoh00`00OoiooP07Ooh2000JOoh00`00OoiooP0DOoh00`00OoiooP0;Ooh00`00Ooio oP0DOoh2000>Ooh001mooP03001ooWon00QooP8001QooP03001ooWon01AooP03001ooWon00UooP80 01IooP03001ooWon00iooP0087on0P002Won0P005Won00<007onOoh05Gon00<007onOoh01gon00<0 07onOoh057on0P004Gon000ROoh00`00OoiooP09Ooh2000DOoh00`00OoiooP0EOoh00`00OoiooP06 Ooh00`00OoiooP0DOoh00`00OoiooP0AOoh002=ooP03001ooWon00YooP80019ooP03001ooWon01Io oP03001ooWon00=ooP8001EooP8001AooP0097on0P0037on0`003gon00<007onOoh05Won00@007on OoiooP8001EooP8001IooP009Won0P003Gon0P003Gon00<007onOoh05gon0`005Gon0P0067on000X Ooh2000=Ooh2000;Ooh00`00OoiooP0FOoh2000EOoh2000JOoh002YooP8000eooP8000UooP03001o oWon01AooP80009ooP03001ooWon011ooP8001aooP00;7on0P003Gon0`001Won00<007onOoh04Won 0P0017on00<007onOoh03Won0P007Won000^Ooh2000>Ooh500000gon001ooP0@Ooh30007Ooh00`00 OoiooP0:Ooh3000POoh0031ooP<0011ooPD000]ooP<000YooP03001ooWon00EooPD002=ooP00Gon2@000Won00<007onOoh06@00<7on 0011Ooh60019Ooh0091ooP00T7on0000\ \>"], ImageRangeCache->{{{0, 143}, {123.313, 0}} -> {-0.579927, -0.525005, \ 0.00851501, 0.00851501}}] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(Block[{L = 1, shape = Join[cerchio, Lr {{\(\@2\) h, \(\@2\) h}, {\(-\@2\) h, \(\@2\) h}}]}, ParametricPlot[ Evaluate[ Join[shape, Map[\[Phi], shape]] /. qls, {h, \(-\(1\/2\)\), 1\/2}, AspectRatio \[Rule] Automatic, Axes \[Rule] False, ImageSize -> 144, PlotStyle \[Rule] AbsoluteThickness[1]]]];\)\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .86365 %%ImageSize: 144 124.366 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.476232 0.822526 0.431826 0.822526 [ [ 0 0 0 0 ] [ 1 .86365 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .86365 L 0 .86365 L closepath clip newpath 0 g 1 Mabswid [ ] 0 setdash .06497 .43183 m .06498 .42864 L .06501 .42573 L .06508 .42239 L .06516 .41922 L .06537 .41359 L .06569 .40749 L .06614 .40077 L .06674 .39366 L .06813 .38093 L .06998 .36784 L .07209 .35564 L .07826 .32813 L .08648 .30057 L .09567 .27592 L .12199 .2229 L .15086 .18028 L .18818 .13829 L .2286 .10347 L .27625 .07246 L .30108 .05973 L .32884 .04788 L .35348 .03931 L .38108 .03172 L .39427 .02881 L .4085 .02618 L .42087 .02431 L .43439 .0227 L .44233 .02196 L .44968 .02142 L .45672 .02103 L .46028 .02087 L .46421 .02074 L .46774 .02065 L .47097 .0206 L .47453 .02057 L .47631 .02056 L .47827 .02057 L .48157 .0206 L .4851 .02066 L .48844 .02074 L .49146 .02085 L .49772 .02112 L .5046 .02154 L .51847 .02274 L .53128 .02426 L .54322 .02606 L .56989 .03137 L .59809 .03903 L .62405 .04805 L Mistroke .6516 .05983 L .69925 .08628 L .74217 .11812 L .78292 .15782 L .81851 .20382 L .84575 .25128 L .85663 .2755 L .86639 .30177 L .87389 .32692 L .87931 .3502 L .88364 .37561 L .88533 .38969 L .88595 .39618 L .88649 .40306 L .88686 .40895 L .88702 .41208 L .88717 .41544 L .88728 .41853 L .88736 .42136 L .88742 .42406 L .88747 .4269 L .88749 .43001 L .88749 .43332 L .88747 .43645 L .88743 .43929 L .88735 .44263 L .88724 .44625 L .88696 .45281 L .88658 .45922 L .88607 .46609 L .88484 .47847 L .8829 .49313 L .88067 .50644 L .87433 .53506 L .86644 .56172 L .8461 .61165 L .82158 .65514 L .79158 .69582 L .75292 .7361 L .71199 .76881 L .66356 .79795 L .61372 .81943 L .58769 .8277 L .57282 .83159 L .55863 .83475 L .54551 .83721 L .5312 .8394 L .51813 .84095 L .50603 .84201 L .49926 .84244 L Mistroke .49292 .84275 L .48928 .84288 L .48595 .84297 L .48412 .84301 L .48211 .84305 L .48022 .84307 L .47846 .84308 L .47663 .84309 L .47464 .84309 L .47276 .84307 L .47104 .84306 L .46777 .843 L .46431 .84292 L .4606 .84279 L .45713 .84265 L .44925 .8422 L .44221 .84168 L .4357 .84109 L .42101 .83937 L .40813 .83741 L .39452 .83489 L .3712 .82945 L .3459 .82189 L .29727 .80211 L .24816 .77405 L .205 .74097 L .16472 .70034 L .13247 .65758 L .10769 .61436 L .09591 .58832 L .08647 .56307 L .07935 .53962 L .07334 .51439 L .06971 .49411 L .0681 .48251 L .0669 .47163 L .06605 .46162 L .06549 .45246 L .06526 .4474 L .06517 .44472 L .06509 .44188 L .06503 .43914 L .065 .43666 L .06498 .43417 L .06497 .43183 L Mfstroke .18543 .14102 m .20902 .16461 L .23475 .19035 L .25892 .21451 L .28216 .23775 L .3069 .26249 L .33071 .2863 L .35602 .31161 L .38041 .336 L .40386 .35946 L .42882 .38442 L .45285 .40845 L .47596 .43155 L .50056 .45616 L .52424 .47983 L .54942 .50501 L .57366 .52926 L .59699 .55258 L .62181 .57741 L .64571 .6013 L .6711 .6267 L .69557 .65116 L .71911 .67471 L .74415 .69975 L .76704 .72263 L s .76704 .14102 m .74344 .16461 L .71771 .19035 L .69355 .21451 L .67031 .23775 L .64557 .26249 L .62175 .2863 L .59644 .31161 L .57206 .336 L .5486 .35946 L .52364 .38442 L .49961 .40845 L .47651 .43155 L .4519 .45616 L .42822 .47983 L .40305 .50501 L .3788 .52926 L .35548 .55258 L .33065 .57741 L .30676 .6013 L .28136 .6267 L .25689 .65116 L .23335 .67471 L .20831 .69975 L .18543 .72263 L s .04852 .43183 m .04074 .40433 L .03393 .37437 L .03117 .35937 L .02871 .34345 L .02686 .32867 L .02554 .31515 L .02495 .30745 L .02446 .29934 L .02428 .29544 L .02411 .29126 L .02403 .28887 L .02397 .28669 L .02392 .28463 L .02388 .28244 L .02385 .28041 L .02383 .27858 L .02381 .27501 L .02381 .27302 L .02382 .27087 L .02384 .26884 L .02387 .26698 L .02394 .26362 L .02404 .25994 L .02418 .25612 L .02434 .25257 L .02475 .24549 L .02523 .23886 L .02642 .22663 L .02809 .21374 L .03035 .20009 L .03539 .17733 L .04253 .15373 L .05171 .13092 L .06187 .11134 L .07308 .09417 L .08629 .07805 L .09994 .06482 L .11338 .0544 L .12902 .04484 L .14693 .03665 L .15529 .03367 L .1646 .03091 L .17298 .02889 L .1822 .02712 L .1874 .02632 L .19221 .02571 L .19716 .02519 L .20181 .02481 L .20466 .02462 L Mistroke .20726 .02448 L .21017 .02436 L .21177 .0243 L .21328 .02426 L .21606 .02422 L .21862 .0242 L .22145 .02421 L .22288 .02422 L .22445 .02425 L .22596 .02429 L .22761 .02433 L .23062 .02445 L .2363 .02475 L .24301 .02525 L .24928 .02585 L .26088 .02728 L .27344 .02928 L .29661 .03405 L .32238 .04085 L .37096 .05721 L .48763 .11073 L .60477 .17918 L .71509 .2555 L .82122 .34339 L .90327 .43097 L .93669 .47906 L .94884 .50098 L .95938 .52401 L .96689 .54506 L .9702 .55692 L .97264 .56793 L .97357 .5731 L .97433 .57798 L .9749 .5824 L .9754 .58708 L .97561 .58949 L .9758 .59214 L .97595 .59458 L .97605 .59681 L .97613 .59942 L .97616 .60079 L .97618 .60223 L .97619 .60466 L .97616 .60731 L .97608 .61007 L .97598 .6126 L .97581 .61538 L .97559 .61832 L .97511 .62323 L .97441 .6286 L Mistroke .97267 .63843 L .9705 .64752 L .96378 .66745 L .95888 .67837 L .95369 .68816 L .92904 .72235 L .91129 .74033 L .89248 .75601 L .84713 .78485 L .79912 .80641 L .77087 .81602 L .74361 .82351 L .71245 .83015 L .69475 .83309 L .67835 .8353 L .66247 .83698 L .64726 .83817 L .63886 .83867 L .63105 .83902 L .62697 .83916 L .62245 .83928 L .62017 .83933 L .61772 .83938 L .61327 .83943 L .60937 .83945 L .60575 .83945 L .60176 .83942 L .5975 .83936 L .59534 .83932 L .593 .83927 L .58876 .83915 L .58081 .83884 L .57324 .83846 L .56522 .83794 L .55081 .83675 L .53387 .83491 L .51839 .83281 L .48365 .82661 L .45168 .81903 L .42168 .8102 L .35671 .78489 L .29966 .75467 L .24059 .71368 L .19227 .67066 L .14802 .62098 L .10748 .56267 L .07601 .50351 L .05088 .43928 L .04852 .43183 L Mfstroke .05923 .11599 m .09077 .14392 L .12562 .17391 L .15879 .20163 L .1911 .2279 L .22591 .25542 L .25985 .28149 L .29638 .30875 L .33201 .33457 L .3667 .359 L .40404 .38454 L .44043 .40871 L .47581 .43156 L .51392 .45545 L .551 .47803 L .59089 .50159 L .62974 .52385 L .66752 .54485 L .70815 .56676 L .7477 .58744 L .79018 .60895 L .83156 .62923 L .87178 .64833 L .91501 .66821 L .95492 .68597 L s .60242 .17768 m .59448 .196 L .58536 .21644 L .57636 .23608 L .56729 .25537 L .55721 .27634 L .54709 .29694 L .53588 .31929 L .52463 .34126 L .5134 .36282 L .50101 .38618 L .48866 .40911 L .47638 .43156 L .46288 .45589 L .44947 .47971 L .43476 .5055 L .42016 .53077 L .4057 .55549 L .38989 .58222 L .37424 .60839 L .35715 .63665 L .34024 .66432 L .32356 .69136 L .30537 .72057 L .28835 .74766 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{144, 124.313}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgGon000BOoh00`00OoiooP0JOoh5000S Ooh3000fOoh0011ooP8001]ooP8000EooP8002AooP8003AooP003Won0P006gon0P002Gon0P0097on 0P00Ooh20008Ooh00`00OoiooP0LOoh000EooP03001ooWon00ao oP03001ooWon00YooP03001ooWon035ooP04001ooP00000=Ooh00`00OoiooP09Ooh00`00OoiooP0K Ooh000AooP03001ooWon00eooP8000aooP03001ooWon02mooP03001ooWon009ooP03001ooWon00Uo oP03001ooWon00]ooP03001ooWon01YooP0017on00<007onOoh037on00@007onOoh000aooP03001o oWon02iooP03001ooWon00=ooP8000QooP03001ooWon00eooP03001ooWon01UooP0017on00<007on Ooh02gon00<007onOoh00Won00<007onOoh02Won00<007onOoh0;7on00<007onOoh01Won00<007on Ooh01Gon00<007onOoh03Won00<007onOoh067on0004Ooh00`00OoiooP0;Ooh00`00OoiooP03Ooh2 000;Ooh00`00OoiooP0[Ooh00`00OoiooP07Ooh00`00OoiooP03Ooh00`00OoiooP0?Ooh00`00Ooio oP0HOoh000=ooP03001ooWon00]ooP03001ooWon00IooP03001ooWon00UooP03001ooWon02YooP03 001ooWon00QooP80009ooP03001ooWon015ooP03001ooWon01MooP000gon00<007onOoh02Won00<0 07onOoh027on00<007onOoh02Gon00<007onOoh0:7on00<007onOoh02gon0P0057on00<007onOoh0 5gon0003Ooh00`00OoiooP0:Ooh00`00OoiooP09Ooh00`00OoiooP09Ooh00`00OoiooP0WOoh00`00 OoiooP0:Ooh01000Ooh0000057on00<007onOoh05Won0003Ooh00`00OoiooP09Ooh00`00OoiooP0; Ooh2000:Ooh00`00OoiooP0VOoh00`00OoiooP09Ooh00`00OoiooP02Ooh00`00OoiooP0AOoh00`00 OoiooP0FOoh000=ooP03001ooWon00UooP03001ooWon00eooP03001ooWon00MooP03001ooWon02Eo oP03001ooWon00UooP03001ooWon00AooP80019ooP03001ooWon01EooP000gon00<007onOoh027on 00<007onOoh03gon00<007onOoh01gon00<007onOoh097on00<007onOoh02Gon00<007onOoh01Won 00<007onOoh03gon00<007onOoh05Gon0003Ooh00`00OoiooP08Ooh00`00OoiooP0@Ooh20008Ooh0 0`00OoiooP0ROoh00`00OoiooP09Ooh00`00OoiooP08Ooh00`00OoiooP0?Ooh00`00OoiooP0DOoh0 00=ooP03001ooWon00MooP03001ooWon01=ooP8000MooP03001ooWon025ooP03001ooWon00QooP03 001ooWon00YooP8000mooP03001ooWon01AooP000gon00<007onOoh01gon00<007onOoh05Gon00<0 07onOoh01Gon0P0087on00<007onOoh01gon0P003gon00<007onOoh03Gon00<007onOoh04gon0003 Ooh00`00OoiooP07Ooh00`00OoiooP0FOoh00`00OoiooP06Ooh00`00OoiooP0MOoh00`00OoiooP06 Ooh00`00OoiooP0@Ooh00`00OoiooP07on00<007on00003gon0007Ooh00`00Ooh0000iOoh2000iOoh01000OoiooP003Won0007Ooh0 0`00Ooh0000iOoh01000Ooh00000=gon00D007onOoiooP0000eooP001gon00<007on0000=gon0`00 0Won0`00=Gon00D007onOoiooP0000eooP0027on0P00=Won00<007on000017on00<007on0000=7on 00<007onOoh00Won00<007onOoh02Won0008Ooh2000eOoh00`00Ooh00006Ooh01000Ooh00000Ooh0 0`00OoiooP05Ooh2000:Ooh00`00OoiooP04Ooh001AooP03001ooWon00=ooP03001ooWon00EooP03 001ooWon00]ooP03001ooWon035ooP03001ooWon00eooP03001ooWon00QooP8000QooP03001ooWon 00AooP0057on00<007onOoh017on00<007onOoh017on00<007onOoh02Won00<007onOoh0Ooh30002 Ooh00`00OoiooP04Ooh001IooP03001ooWon00AooP04001ooWon000=Ooh00`00OoiooP0fOoh00`00 OoiooP08Ooh00`00OoiooP0BOoh20007Ooh001IooP03001ooWon00EooP8000iooP03001ooWon03Mo oP8000QooP03001ooWon019ooP03001ooWon00IooP005gon00<007onOoh00gon00@007onOoh000ao oP03001ooWon03YooP03001ooWon00AooP03001ooWon019ooP03001ooWon00MooP0067on00D007on OoiooP0000AooP03001ooWon00QooP03001ooWon03aooP03001ooWon009ooP03001ooWon01=ooP03 001ooWon00MooP006Gon00<007on00001Won00<007onOoh01gon00<007onOoh0?Gon00@007onOoh0 01EooP03001ooWon00QooP006Won00<007onOoh01Won00<007onOoh01Gon00<007onOoh0?gon0P00 5Gon00<007onOoh02Gon000KOoh00`00OoiooP06Ooh20004Ooh00`00OoiooP0oOoh00`00OoiooP0D Ooh00`00OoiooP0:Ooh001aooP03001ooWon00MooP05001ooWonOoh00010Ooh00`00OoiooP0EOoh0 0`00OoiooP0:Ooh001eooP03001ooWon00MooP03001ooP00041ooP03001ooWon01EooP03001ooWon 00]ooP007Won00<007onOoh01gon0P00?gon00<007onOoh057on0P003Won000OOoh00`00OoiooP08 Ooh2000kOoh2000FOoh00`00OoiooP0>Ooh0021ooP8000YooP8003QooP03001ooWon01AooP80015o oP008Won00<007onOoh02Gon0P00=Gon00<007onOoh057on00<007onOoh04Gon000SOoh00`00Ooio oP0:Ooh2000aOoh2000EOoh2000DOoh002AooP8000aooP<002aooP8001EooP8001IooP009Won0P00 3Gon0P00:7on0P005Gon0P0067on000XOoh2000=Ooh2000TOoh2000EOoh2000JOoh002YooP8000eo oP80021ooP8001EooP8001aooP00;7on0P003Gon0`006gon0P005Gon0P007Won000^Ooh2000>Ooh5 000COoh3000DOoh3000POoh0031ooP<0011ooPD000]ooP<0019ooPD002=ooP00"], ImageRangeCache->{{{0, 143}, {123.313, 0}} -> {-0.579927, -0.525005, \ 0.00851501, 0.00851501}}] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(fig3 = Block[{L = 1, shape = Join[cerchio, {dirpr1[h], dirpr2[h]}]}, ParametricPlot[ Evaluate[ Join[shape, Map[\[Phi], shape]] /. qls, {h, \(-\(1\/2\)\), 1\/2}, AspectRatio \[Rule] Automatic, Axes \[Rule] False, ImageSize -> 144, PlotStyle \[Rule] AbsoluteThickness[1]]]];\)\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .86365 %%ImageSize: 144 124.366 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.476232 0.822526 0.431826 0.822526 [ [ 0 0 0 0 ] [ 1 .86365 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .86365 L 0 .86365 L closepath clip newpath 0 g 1 Mabswid [ ] 0 setdash .06497 .43183 m .06498 .42864 L .06501 .42573 L .06508 .42239 L .06516 .41922 L .06537 .41359 L .06569 .40749 L .06614 .40077 L .06674 .39366 L .06813 .38093 L .06998 .36784 L .07209 .35564 L .07826 .32813 L .08648 .30057 L .09567 .27592 L .12199 .2229 L .15086 .18028 L .18818 .13829 L .2286 .10347 L .27625 .07246 L .30108 .05973 L .32884 .04788 L .35348 .03931 L .38108 .03172 L .39427 .02881 L .4085 .02618 L .42087 .02431 L .43439 .0227 L .44233 .02196 L .44968 .02142 L .45672 .02103 L .46028 .02087 L .46421 .02074 L .46774 .02065 L .47097 .0206 L .47453 .02057 L .47631 .02056 L .47827 .02057 L .48157 .0206 L .4851 .02066 L .48844 .02074 L .49146 .02085 L .49772 .02112 L .5046 .02154 L .51847 .02274 L .53128 .02426 L .54322 .02606 L .56989 .03137 L .59809 .03903 L .62405 .04805 L Mistroke .6516 .05983 L .69925 .08628 L .74217 .11812 L .78292 .15782 L .81851 .20382 L .84575 .25128 L .85663 .2755 L .86639 .30177 L .87389 .32692 L .87931 .3502 L .88364 .37561 L .88533 .38969 L .88595 .39618 L .88649 .40306 L .88686 .40895 L .88702 .41208 L .88717 .41544 L .88728 .41853 L .88736 .42136 L .88742 .42406 L .88747 .4269 L .88749 .43001 L .88749 .43332 L .88747 .43645 L .88743 .43929 L .88735 .44263 L .88724 .44625 L .88696 .45281 L .88658 .45922 L .88607 .46609 L .88484 .47847 L .8829 .49313 L .88067 .50644 L .87433 .53506 L .86644 .56172 L .8461 .61165 L .82158 .65514 L .79158 .69582 L .75292 .7361 L .71199 .76881 L .66356 .79795 L .61372 .81943 L .58769 .8277 L .57282 .83159 L .55863 .83475 L .54551 .83721 L .5312 .8394 L .51813 .84095 L .50603 .84201 L .49926 .84244 L Mistroke .49292 .84275 L .48928 .84288 L .48595 .84297 L .48412 .84301 L .48211 .84305 L .48022 .84307 L .47846 .84308 L .47663 .84309 L .47464 .84309 L .47276 .84307 L .47104 .84306 L .46777 .843 L .46431 .84292 L .4606 .84279 L .45713 .84265 L .44925 .8422 L .44221 .84168 L .4357 .84109 L .42101 .83937 L .40813 .83741 L .39452 .83489 L .3712 .82945 L .3459 .82189 L .29727 .80211 L .24816 .77405 L .205 .74097 L .16472 .70034 L .13247 .65758 L .10769 .61436 L .09591 .58832 L .08647 .56307 L .07935 .53962 L .07334 .51439 L .06971 .49411 L .0681 .48251 L .0669 .47163 L .06605 .46162 L .06549 .45246 L .06526 .4474 L .06517 .44472 L .06509 .44188 L .06503 .43914 L .065 .43666 L .06498 .43417 L .06497 .43183 L Mfstroke .16807 .70418 m .19307 .68208 L .22034 .65798 L .24595 .63535 L .27058 .61358 L .29679 .59041 L .32203 .56811 L .34885 .54441 L .37469 .52157 L .39955 .4996 L .42599 .47623 L .45146 .45372 L .47594 .43208 L .50201 .40904 L .5271 .38687 L .55378 .36329 L .57948 .34058 L .60419 .31873 L .6305 .29549 L .65582 .27311 L .68273 .24932 L .70866 .22641 L .73361 .20436 L .76014 .18091 L .78439 .15948 L s .20388 .12367 m .22598 .14867 L .25008 .17594 L .27271 .20154 L .29448 .22617 L .31764 .25239 L .33995 .27762 L .36365 .30444 L .38649 .33028 L .40846 .35514 L .43183 .38159 L .45434 .40705 L .47598 .43154 L .49902 .45761 L .52119 .4827 L .54477 .50938 L .56748 .53507 L .58932 .55979 L .61257 .58609 L .63495 .61141 L .65873 .63832 L .68165 .66425 L .7037 .6892 L .72715 .71573 L .74858 .73999 L s .04852 .43183 m .04074 .40433 L .03393 .37437 L .03117 .35937 L .02871 .34345 L .02686 .32867 L .02554 .31515 L .02495 .30745 L .02446 .29934 L .02428 .29544 L .02411 .29126 L .02403 .28887 L .02397 .28669 L .02392 .28463 L .02388 .28244 L .02385 .28041 L .02383 .27858 L .02381 .27501 L .02381 .27302 L .02382 .27087 L .02384 .26884 L .02387 .26698 L .02394 .26362 L .02404 .25994 L .02418 .25612 L .02434 .25257 L .02475 .24549 L .02523 .23886 L .02642 .22663 L .02809 .21374 L .03035 .20009 L .03539 .17733 L .04253 .15373 L .05171 .13092 L .06187 .11134 L .07308 .09417 L .08629 .07805 L .09994 .06482 L .11338 .0544 L .12902 .04484 L .14693 .03665 L .15529 .03367 L .1646 .03091 L .17298 .02889 L .1822 .02712 L .1874 .02632 L .19221 .02571 L .19716 .02519 L .20181 .02481 L .20466 .02462 L Mistroke .20726 .02448 L .21017 .02436 L .21177 .0243 L .21328 .02426 L .21606 .02422 L .21862 .0242 L .22145 .02421 L .22288 .02422 L .22445 .02425 L .22596 .02429 L .22761 .02433 L .23062 .02445 L .2363 .02475 L .24301 .02525 L .24928 .02585 L .26088 .02728 L .27344 .02928 L .29661 .03405 L .32238 .04085 L .37096 .05721 L .48763 .11073 L .60477 .17918 L .71509 .2555 L .82122 .34339 L .90327 .43097 L .93669 .47906 L .94884 .50098 L .95938 .52401 L .96689 .54506 L .9702 .55692 L .97264 .56793 L .97357 .5731 L .97433 .57798 L .9749 .5824 L .9754 .58708 L .97561 .58949 L .9758 .59214 L .97595 .59458 L .97605 .59681 L .97613 .59942 L .97616 .60079 L .97618 .60223 L .97619 .60466 L .97616 .60731 L .97608 .61007 L .97598 .6126 L .97581 .61538 L .97559 .61832 L .97511 .62323 L .97441 .6286 L Mistroke .97267 .63843 L .9705 .64752 L .96378 .66745 L .95888 .67837 L .95369 .68816 L .92904 .72235 L .91129 .74033 L .89248 .75601 L .84713 .78485 L .79912 .80641 L .77087 .81602 L .74361 .82351 L .71245 .83015 L .69475 .83309 L .67835 .8353 L .66247 .83698 L .64726 .83817 L .63886 .83867 L .63105 .83902 L .62697 .83916 L .62245 .83928 L .62017 .83933 L .61772 .83938 L .61327 .83943 L .60937 .83945 L .60575 .83945 L .60176 .83942 L .5975 .83936 L .59534 .83932 L .593 .83927 L .58876 .83915 L .58081 .83884 L .57324 .83846 L .56522 .83794 L .55081 .83675 L .53387 .83491 L .51839 .83281 L .48365 .82661 L .45168 .81903 L .42168 .8102 L .35671 .78489 L .29966 .75467 L .24059 .71368 L .19227 .67066 L .14802 .62098 L .10748 .56267 L .07601 .50351 L .05088 .43928 L .04852 .43183 L Mfstroke .26131 .72934 m .28103 .70292 L .30208 .67457 L .32141 .64837 L .3396 .62358 L .35853 .59762 L .37634 .57305 L .39481 .54739 L .41217 .5231 L .42847 .50014 L .44537 .47615 L .46122 .45348 L .47606 .43208 L .49144 .40971 L .50582 .3886 L .52068 .3666 L .53455 .34584 L .54749 .32627 L .56083 .30588 L .57325 .28668 L .58599 .26672 L .59783 .24793 L .60882 .23026 L .62006 .21191 L .62993 .19553 L s .06952 .09922 m .10024 .12849 L .13419 .15995 L .16652 .18906 L .19801 .21665 L .23196 .2456 L .26506 .27304 L .30068 .30176 L .33545 .32899 L .3693 .35478 L .40575 .38178 L .44127 .40735 L .47582 .43154 L .51303 .45688 L .54926 .48085 L .58823 .50589 L .62619 .52957 L .66311 .55195 L .70283 .57534 L .74149 .59743 L .78303 .62045 L .82349 .64219 L .86284 .6627 L .90512 .68407 L .94417 .70321 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{144, 124.313}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgGon000BOoh00`00OoiooP0JOoh5000S Ooh3000fOoh0011ooP8001]ooP8000EooP8002AooP8003AooP003Won0P006gon0P002Gon0P0097on 0P00Ooh00`00Ooio oP0GOoh000=ooP03001ooWon00YooP03001ooWon00eooP03001ooWon00QooP03001ooWon02QooP03 001ooWon00QooP800003Ooh007on015ooP03001ooWon01IooP000gon00<007onOoh02Gon00<007on Ooh03gon00<007onOoh027on00<007onOoh09gon00<007onOoh02Gon0P004gon00<007onOoh05Won 0003Ooh00`00OoiooP09Ooh00`00OoiooP0@Ooh00`00OoiooP08Ooh00`00OoiooP0UOoh00`00Ooio oP09Ooh00`00OoiooP02000BOoh00`00OoiooP0EOoh000=ooP03001ooWon00QooP03001ooWon019o oP03001ooWon00QooP03001ooWon02=ooP03001ooWon00UooP03001ooWon00=ooP03001ooWon00mo oP03001ooWon01EooP000gon00<007onOoh027on00<007onOoh04gon00<007onOoh01gon00<007on Ooh08Won00<007onOoh027on0P001gon00<007onOoh03gon00<007onOoh057on0003Ooh00`00Ooio oP07Ooh00`00OoiooP0EOoh00`00OoiooP07Ooh00`00OoiooP0POoh00`00OoiooP08Ooh00`00Ooio oP08Ooh2000?Ooh00`00OoiooP0DOoh000=ooP03001ooWon00MooP03001ooWon01IooP8000QooP03 001ooWon01mooP03001ooWon00MooP03001ooWon00]ooP03001ooWon00eooP03001ooWon01=ooP00 0gon00<007onOoh01gon00<007onOoh067on00<007onOoh01Won00<007onOoh07Gon00<007onOoh0 1gon00<007onOoh03Gon00<007onOoh037on00<007onOoh04gon0003Ooh00`00OoiooP06Ooh00`00 OoiooP0JOoh20007Ooh00`00OoiooP0LOoh00`00OoiooP06Ooh00`00OoiooP0?Ooh00`00OoiooP0< Ooh00`00OoiooP0BOoh000=ooP03001ooWon00IooP03001ooWon01aooP03001ooWon00EooP03001o oWon01YooP03001ooWon00IooP03001ooWon015ooP8000aooP03001ooWon019ooP000gon00<007on Ooh01Won00<007onOoh07Gon00<007onOoh01Gon00<007onOoh06Gon00<007onOoh01Gon00<007on Ooh057on00<007onOoh02Gon00<007onOoh04Won0003Ooh00`00OoiooP05Ooh00`00OoiooP0OOoh2 0006Ooh00`00OoiooP0GOoh00`00OoiooP05Ooh00`00OoiooP0FOoh00`00OoiooP08Ooh00`00Ooio oP0BOoh000=ooP03001ooWon00EooP03001ooWon025ooP03001ooWon00AooP03001ooWon01IooP03 001ooWon00AooP03001ooWon01QooP03001ooWon00QooP03001ooWon015ooP000gon00<007onOoh0 1Gon00<007onOoh08Won00<007onOoh017on00<007onOoh057on00<007onOoh017on00<007onOoh0 6Won0P0027on00<007onOoh04Gon0003Ooh00`00OoiooP05Ooh00`00OoiooP0SOoh00`00OoiooP04 Ooh00`00OoiooP0BOoh00`00OoiooP03Ooh2000OOoh00`00OoiooP05Ooh00`00OoiooP0AOoh000Ao oP03001ooWon00=ooP03001ooWon02EooP03001ooWon00=ooP03001ooWon019ooP03001ooWon009o oP03001ooWon021ooP03001ooWon00EooP03001ooWon011ooP0017on00<007onOoh00gon00<007on Ooh09Won00<007onOoh00gon00<007onOoh047on00<007onOoh00Won00<007onOoh08Won00<007on Ooh017on00<007onOoh047on0004Ooh00`00OoiooP03Ooh00`00OoiooP0WOoh00`00OoiooP03Ooh0 0`00OoiooP0>Ooh00`00OoiooP02Ooh00`00OoiooP0TOoh00`00OoiooP03Ooh00`00OoiooP0@Ooh0 00AooP03001ooWon00=ooP03001ooWon02QooP8000AooP03001ooWon00eooP05001ooWonOoh0000X Ooh00`00OoiooP02Ooh00`00OoiooP0@Ooh000AooP03001ooWon00=ooP03001ooWon02YooP05001o oWonOoh0000>Ooh01@00OoiooWon0000:Won00<007onOoh00Won00<007onOoh03gon0004Ooh00`00 OoiooP02Ooh00`00OoiooP0/Ooh20002Ooh00`00OoiooP0:Ooh00`00OoiooP02000/Ooh01@00Ooio oWon00004Gon0004Ooh00`00OoiooP02Ooh00`00OoiooP0^Ooh01000OoiooP002gon00<007on0000 ;gon00@007onOoh0015ooP0017on00<007onOoh00Won00<007onOoh0;gon0P0000=ooP00Ooh027on 00<007on0000<7on00@007onOoh0015ooP001Gon00D007onOoiooP0003=ooP<000MooP03001ooP00 039ooP03001ooP00015ooP001Gon00D007onOoiooP0003EooP8000IooP8003AooP80015ooP001Gon 00D007onOoiooP0003IooP8000AooP8003IooP03001ooWon00mooP001Won00@007onOoh003MooP80 009ooP8003MooP80011ooP001Won00@007onOoh003UooP03001ooP0003QooP03001ooP0000mooP00 1gon00<007on0000>Won00<007onOoh0=gon00@007onOoh000iooP001gon00<007on0000>Gon00@0 07on000003MooP05001ooWonOoh0000=Ooh000MooP03001ooP0003MooP80009ooP04001ooP00000e Ooh01@00OoiooWon00003Gon0008Ooh2000fOoh20004Ooh01000OoiooP00=7on00<007onOoh00Won 00<007onOoh02Won0008Ooh2000eOoh20006Ooh01000OoiooP00Ooh00`00OoiooP04Ooh2000XOoh00`00OoiooP07Ooh0 0`00OoiooP06Ooh000YooP8002aooP05001ooWonOoh0000@Ooh00`00OoiooP05Ooh00`00OoiooP0U Ooh00`00OoiooP08Ooh00`00OoiooP05Ooh000YooP8002YooP8000=ooP03001ooWon011ooP03001o oWon00EooP8002EooP03001ooWon00QooP03001ooWon00EooP002Won00<007on0000:7on00<007on Ooh00Won00<007onOoh04Won00<007onOoh01Won00<007onOoh08Gon00<007onOoh02Won00<007on Ooh017on000;Ooh2000WOoh00`00OoiooP02Ooh00`00OoiooP0DOoh00`00OoiooP06Ooh00`00Ooio oP0POoh00`00OoiooP0:Ooh00`00OoiooP04Ooh000]ooP03001ooP0002AooP8000EooP03001ooWon 01EooP03001ooWon00IooP80021ooP03001ooWon00]ooP03001ooWon00=ooP002gon00<007on0000 8gon00<007onOoh017on00<007onOoh05gon00<007onOoh01gon0P007Won00<007onOoh02gon00<0 07onOoh00gon000;Ooh01000OoiooP008Gon00<007onOoh017on00<007onOoh06Gon00<007onOoh0 27on00<007onOoh06Won00<007onOoh037on00<007onOoh00gon000Ooh00`00OoiooP02Ooh000eooP04 001ooWon000JOoh20007Ooh00`00OoiooP0OOoh00`00OoiooP0Ooh0 0`00OoiooP02Ooh000eooP05001ooWonOoh0000HOoh00`00OoiooP07Ooh00`00OoiooP0POoh00`00 OoiooP0=Ooh2000@Ooh00`00OoiooP0?Ooh00`00OoiooP02Ooh000eooP03001ooWon009ooP03001o oWon01AooP03001ooWon00MooP03001ooWon029ooP03001ooWon00iooP03001ooWon00eooP03001o oWon00mooP03001ooWon009ooP003Won00<007onOoh00Won00<007onOoh04Won00<007onOoh027on 00<007onOoh08gon00<007onOoh03Won0P003Gon00<007onOoh03gon00<007onOoh00Won000>Ooh0 0`00OoiooP02Ooh00`00OoiooP0AOoh00`00OoiooP08Ooh00`00OoiooP0UOoh00`00OoiooP0?Ooh0 0`00OoiooP09Ooh00`00OoiooP0@Ooh00`00OoiooP02Ooh000mooP03001ooWon009ooP03001ooWon 00mooP03001ooWon00QooP03001ooWon02MooP03001ooWon00mooP8000UooP03001ooWon011ooP03 001ooWon009ooP0047on00<007onOoh00Won00<007onOoh03Gon00<007onOoh027on00<007onOoh0 :Gon00<007onOoh047on00<007onOoh01Gon00<007onOoh04Gon00<007onOoh00Won000@Ooh00`00 OoiooP03Ooh00`00OoiooP0;Ooh00`00OoiooP08Ooh00`00OoiooP0[Ooh00`00OoiooP0@Ooh20005 Ooh00`00OoiooP0AOoh00`00OoiooP02Ooh0015ooP03001ooWon00=ooP03001ooWon00UooP03001o oWon00UooP03001ooWon02aooP03001ooWon015ooP80009ooP03001ooWon015ooP03001ooWon00=o oP004Won00<007onOoh00gon00<007onOoh01gon00<007onOoh02Gon00<007onOoh0;Won00<007on Ooh04Won0`004gon00<007onOoh00gon000BOoh00`00OoiooP03Ooh00`00OoiooP05Ooh2000Ooh00`00 OoiooP08Ooh20009Ooh00`00OoiooP04Ooh001IooP03001ooWon009ooP03001ooP0000aooP03001o oWon03IooP03001ooWon00aooP03001ooWon00]ooP8000IooP03001ooWon00EooP005Won00D007on OoiooP0000=ooP8000UooP03001ooWon03QooP03001ooWon00]ooP03001ooWon00eooP8000=ooP03 001ooWon00IooP005gon00<007on00001Won00<007onOoh01Won00<007onOoh0>Gon00<007onOoh0 2Gon00<007onOoh047on0`002Gon000HOoh00`00OoiooP06Ooh00`00OoiooP04Ooh00`00OoiooP0k Ooh00`00OoiooP07Ooh00`00OoiooP0COoh00`00OoiooP07Ooh001UooP03001ooWon00IooP03001o oWon009ooP03001ooWon03eooP03001ooWon00EooP03001ooWon01=ooP03001ooWon00QooP006Won 00<007onOoh01Won00@007onOoh0045ooP03001ooWon009ooP8001EooP03001ooWon00UooP006gon 00<007onOoh01Won0P00@Won00D007onOoiooP0001IooP03001ooWon00YooP0077on00<007onOoh0 1gon00<007onOoh0@7on00<007on00005gon00<007onOoh02Won000MOoh00`00OoiooP07Ooh00`00 OoiooP10Ooh00`00OoiooP0EOoh00`00OoiooP0;Ooh001iooP03001ooWon00MooP8003mooP03001o oWon01AooP8000iooP007gon00<007onOoh027on0P00>gon0P005Won00<007onOoh03Won000POoh2 000:Ooh2000hOoh00`00OoiooP0DOoh2000AOoh0029ooP03001ooWon00UooP8003EooP03001ooWon 01AooP03001ooWon015ooP008gon00<007onOoh02Won0P00Gon2@001Gon6@00<7on 0011Ooh60019Ooh0091ooP00T7on0000\ \>"], ImageRangeCache->{{{0, 143}, {123.313, 0}} -> {-0.579927, -0.525005, \ 0.00851501, 0.00851501}}] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(Block[{L = 1, H = 1, shape = Join[rettangolo, cerchio]}, ParametricPlot[ Evaluate[ Join[shape, Map[\[Phi], shape]] /. qls, {h, \(-\(1\/2\)\), 1\/2}, AspectRatio \[Rule] Automatic, Axes \[Rule] False, ImageSize -> 144, PlotStyle \[Rule] AbsoluteThickness[1]]]];\)\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .73377 %%ImageSize: 144 105.662 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.453618 0.618429 0.366883 0.618429 [ [ 0 0 0 0 ] [ 1 .73377 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .73377 L 0 .73377 L closepath clip newpath 0 g 1 Mabswid [ ] 0 setdash .1444 .05767 m .16949 .05767 L .19685 .05767 L .22255 .05767 L .24726 .05767 L .27356 .05767 L .29888 .05767 L .3258 .05767 L .35172 .05767 L .37667 .05767 L .40321 .05767 L .42876 .05767 L .45333 .05767 L .47949 .05767 L .50466 .05767 L .53143 .05767 L .55722 .05767 L .58202 .05767 L .60841 .05767 L .63382 .05767 L .66082 .05767 L .68684 .05767 L .71187 .05767 L .7385 .05767 L .76283 .05767 L s .1444 .6761 m .16949 .6761 L .19685 .6761 L .22255 .6761 L .24726 .6761 L .27356 .6761 L .29888 .6761 L .3258 .6761 L .35172 .6761 L .37667 .6761 L .40321 .6761 L .42876 .6761 L .45333 .6761 L .47949 .6761 L .50466 .6761 L .53143 .6761 L .55722 .6761 L .58202 .6761 L .60841 .6761 L .63382 .6761 L .66082 .6761 L .68684 .6761 L .71187 .6761 L .7385 .6761 L .76283 .6761 L s .1444 .05767 m .1444 .08276 L .1444 .11012 L .1444 .13581 L .1444 .16052 L .1444 .18683 L .1444 .21215 L .1444 .23906 L .1444 .26499 L .1444 .28993 L .1444 .31647 L .1444 .34202 L .1444 .36659 L .1444 .39275 L .1444 .41793 L .1444 .4447 L .1444 .47048 L .1444 .49528 L .1444 .52168 L .1444 .54709 L .1444 .57409 L .1444 .6001 L .1444 .62514 L .1444 .65176 L .1444 .6761 L s .76283 .05767 m .76283 .08276 L .76283 .11012 L .76283 .13581 L .76283 .16052 L .76283 .18683 L .76283 .21215 L .76283 .23906 L .76283 .26499 L .76283 .28993 L .76283 .31647 L .76283 .34202 L .76283 .36659 L .76283 .39275 L .76283 .41793 L .76283 .4447 L .76283 .47048 L .76283 .49528 L .76283 .52168 L .76283 .54709 L .76283 .57409 L .76283 .6001 L .76283 .62514 L .76283 .65176 L .76283 .6761 L s .1444 .36688 m .14441 .36448 L .14444 .3623 L .14448 .35978 L .14455 .3574 L .14471 .35317 L .14495 .34858 L .14529 .34353 L .14574 .33818 L .14678 .32861 L .14817 .31877 L .14976 .3096 L .15439 .28892 L .16057 .2682 L .16748 .24966 L .18727 .2098 L .20899 .17776 L .23704 .14618 L .26743 .12001 L .30326 .09669 L .32193 .08711 L .3428 .07821 L .36132 .07176 L .38208 .06606 L .39199 .06387 L .40269 .06189 L .41199 .06048 L .42215 .05927 L .42812 .05872 L .43366 .05831 L .43895 .05802 L .44162 .0579 L .44458 .0578 L .44723 .05773 L .44966 .05769 L .45234 .05767 L .45368 .05767 L .45515 .05767 L .45763 .05769 L .46029 .05774 L .46279 .0578 L .46507 .05788 L .46977 .05809 L .47495 .0584 L .48538 .0593 L .49501 .06045 L .50398 .0618 L .52404 .06579 L .54524 .07155 L .56476 .07833 L Mistroke .58547 .08719 L .62129 .10708 L .65357 .13102 L .68421 .16087 L .71096 .19545 L .73144 .23114 L .73962 .24935 L .74696 .2691 L .7526 .28801 L .75668 .30551 L .75993 .32462 L .76121 .3352 L .76167 .34008 L .76208 .34526 L .76235 .34968 L .76248 .35203 L .76259 .35457 L .76267 .35689 L .76273 .35901 L .76278 .36104 L .76281 .36318 L .76283 .36551 L .76283 .36801 L .76281 .37036 L .76278 .37249 L .76273 .37501 L .76264 .37773 L .76243 .38266 L .76215 .38748 L .76176 .39264 L .76084 .40195 L .75938 .41297 L .7577 .42298 L .75293 .4445 L .747 .46455 L .73171 .50208 L .71328 .53479 L .69072 .56537 L .66165 .59565 L .63088 .62025 L .59446 .64216 L .55699 .65831 L .53742 .66453 L .52624 .66745 L .51557 .66983 L .50571 .67168 L .49495 .67332 L .48512 .67449 L .47602 .67529 L .47093 .67561 L Mistroke .46616 .67584 L .46343 .67594 L .46093 .67601 L .45955 .67604 L .45804 .67607 L .45662 .67608 L .4553 .67609 L .45391 .6761 L .45242 .6761 L .45101 .67609 L .44971 .67607 L .44725 .67603 L .44466 .67597 L .44186 .67587 L .43925 .67576 L .43333 .67543 L .42803 .67504 L .42314 .67459 L .4121 .6733 L .40241 .67183 L .39218 .66993 L .37465 .66584 L .35562 .66016 L .31906 .64529 L .28214 .62419 L .24969 .59932 L .21941 .56877 L .19515 .53662 L .17653 .50412 L .16767 .48455 L .16057 .46556 L .15521 .44793 L .1507 .42896 L .14797 .41371 L .14676 .40499 L .14586 .39681 L .14522 .38928 L .14479 .3824 L .14462 .37859 L .14456 .37658 L .1445 .37444 L .14445 .37238 L .14442 .37052 L .14441 .36864 L .1444 .36688 L Mfstroke .02381 .01747 m .04614 .02123 L .07049 .02534 L .09336 .02919 L .11535 .0329 L .13876 .03684 L .1613 .04064 L .18525 .04468 L .20833 .04857 L .23053 .05231 L .25414 .05629 L .27689 .06012 L .29875 .06381 L .32203 .06773 L .34444 .07151 L .36827 .07553 L .39121 .07939 L .41329 .08311 L .43678 .08707 L .45939 .09088 L .48342 .09493 L .50658 .09884 L .52886 .10259 L .55255 .10658 L .57421 .11023 L s .24026 .7163 m .27011 .71253 L .30267 .70843 L .33325 .70457 L .36266 .70087 L .39396 .69692 L .42409 .69312 L .45612 .68909 L .48697 .6852 L .51666 .68146 L .54823 .67748 L .57864 .67364 L .60788 .66996 L .63901 .66603 L .66897 .66226 L .70083 .65824 L .73151 .65437 L .76102 .65065 L .79243 .64669 L .82267 .64288 L .8548 .63883 L .88576 .63493 L .91555 .63118 L .94723 .62718 L .97619 .62353 L s .02381 .01747 m .03259 .04582 L .04217 .07674 L .05116 .10577 L .05981 .1337 L .06902 .16342 L .07788 .19203 L .0873 .22245 L .09637 .25174 L .1051 .27993 L .11439 .30992 L .12333 .33879 L .13193 .36655 L .14109 .39612 L .1499 .42457 L .15927 .45481 L .16829 .48395 L .17697 .51198 L .18621 .5418 L .19511 .57051 L .20456 .60102 L .21366 .63042 L .22242 .65871 L .23174 .6888 L .24026 .7163 L s .57421 .11024 m .59052 .13106 L .6083 .15377 L .62501 .17509 L .64107 .19561 L .65817 .21744 L .67462 .23845 L .69212 .26079 L .70897 .28231 L .72518 .30302 L .74243 .32504 L .75904 .34625 L .77501 .36664 L .79202 .38835 L .80838 .40925 L .82578 .43147 L .84254 .45287 L .85866 .47346 L .87582 .49536 L .89233 .51645 L .90988 .53886 L .92679 .56046 L .94307 .58123 L .96037 .60333 L .97619 .62353 L s .13203 .36688 m .12619 .34621 L .12107 .32368 L .11899 .31241 L .11714 .30044 L .11575 .28932 L .11476 .27916 L .11432 .27337 L .11395 .26727 L .11381 .26434 L .11368 .26119 L .11362 .2594 L .11358 .25776 L .11354 .25621 L .11351 .25456 L .11348 .25304 L .11347 .25166 L .11346 .24898 L .11346 .24748 L .11347 .24586 L .11348 .24434 L .1135 .24294 L .11355 .24041 L .11363 .23765 L .11374 .23477 L .11386 .2321 L .11416 .22679 L .11453 .2218 L .11542 .2126 L .11667 .20291 L .11838 .19265 L .12216 .17553 L .12753 .15779 L .13443 .14064 L .14208 .12592 L .1505 .11301 L .16043 .10089 L .17069 .09094 L .1808 .08311 L .19256 .07592 L .20603 .06976 L .21231 .06753 L .21932 .06545 L .22561 .06393 L .23254 .0626 L .23645 .062 L .24007 .06154 L .2438 .06115 L .24729 .06086 L .24943 .06072 L Mistroke .25139 .06061 L .25357 .06052 L .25478 .06048 L .25592 .06045 L .258 .06041 L .25993 .0604 L .26205 .06041 L .26313 .06042 L .26431 .06044 L .26545 .06047 L .26669 .0605 L .26895 .06059 L .27322 .06082 L .27826 .06119 L .28298 .06164 L .2917 .06272 L .30114 .06422 L .31856 .06781 L .33794 .07292 L .37447 .08522 L .46219 .12546 L .55026 .17693 L .6332 .23431 L .713 .30039 L .77469 .36624 L .79982 .4024 L .80896 .41888 L .81688 .43619 L .82253 .45202 L .82501 .46094 L .82685 .46922 L .82755 .4731 L .82812 .47677 L .82855 .48009 L .82892 .48361 L .82908 .48542 L .82923 .48742 L .82934 .48925 L .82941 .49093 L .82948 .49289 L .8295 .49392 L .82951 .49501 L .82952 .49683 L .8295 .49882 L .82944 .5009 L .82936 .5028 L .82924 .50489 L .82907 .5071 L .82871 .51079 L .82818 .51483 L Mistroke .82687 .52222 L .82524 .52906 L .82019 .54404 L .8165 .55225 L .8126 .55962 L .79407 .58532 L .78072 .59884 L .76658 .61062 L .73248 .63231 L .69638 .64852 L .67514 .65575 L .65465 .66138 L .63122 .66637 L .61791 .66858 L .60559 .67024 L .59365 .6715 L .58221 .6724 L .57589 .67277 L .57002 .67303 L .56695 .67314 L .56355 .67324 L .56184 .67327 L .56 .67331 L .55665 .67335 L .55372 .67336 L .551 .67336 L .548 .67334 L .54479 .6733 L .54317 .67327 L .54141 .67322 L .53822 .67313 L .53224 .6729 L .52655 .67261 L .52052 .67223 L .50969 .67133 L .49695 .66995 L .48532 .66837 L .45919 .66371 L .43516 .65801 L .4126 .65137 L .36376 .63234 L .32086 .60962 L .27645 .5788 L .24011 .54645 L .20685 .5091 L .17637 .46526 L .1527 .42078 L .13381 .37248 L .13203 .36688 L Mfstroke % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{144, 105.625}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgOoh00`00OoiooP0IOoh2000@Ooh00`00OoiooP06Ooh00`00OoiooP0=Ooh00`00OoiooP0QOoh0 00QooP03001ooWon00QooP8000mooP03001ooWon01aooP8000mooP03001ooWon00IooP03001ooWon 00aooP03001ooWon025ooP0027on00<007onOoh027on0P003Won00<007onOoh07gon0P003Won00<0 07onOoh01Won00<007onOoh02gon00<007onOoh08Gon0009Ooh00`00OoiooP06Ooh00`00Ooh0000= Ooh00`00OoiooP0ROoh00`00OoiooP0;Ooh00`00OoiooP07Ooh00`00OoiooP0:Ooh00`00OoiooP0Q Ooh000UooP03001ooWon00IooP03001ooP0000aooP03001ooWon02AooP8000aooP03001ooWon00Mo oP03001ooWon00UooP03001ooWon025ooP002Won00<007onOoh01Gon00<007on00002gon00<007on Ooh09gon0P002gon00<007onOoh01gon00<007onOoh027on00<007onOoh08Gon000:Ooh00`00Ooio oP04Ooh01000OoiooP002Won00<007onOoh0:Won0P002Won00<007onOoh01gon00<007onOoh01gon 00<007onOoh08Gon000:Ooh00`00OoiooP04Ooh01000OoiooP002Gon00<007onOoh0;Gon00<007on Ooh027on00<007onOoh01gon00<007onOoh01Won00<007onOoh08Gon000;Ooh00`00OoiooP03Ooh0 1000OoiooP0027on00<007onOoh0;gon0P002Gon00<007onOoh01Won00<007onOoh01Won00<007on Ooh08Gon000;Ooh00`00OoiooP03Ooh01000OoiooP001gon00<007onOoh07on0P001Won00<007onOoh01Won00<007onOoh00gon00<007onOoh0 8Gon000Won00<007onOoh017on 00<007onOoh01Won00<007onOoh00Won00<007onOoh08Gon000Ooh30007Ooh00`00OoiooP09000HOoh001Ao oP03001ooWon00QooP03001ooWon00eooP8000UooP<001=ooP8000eooP<000EooPP0025ooP0057on 00<007onOoh027on00<007onOoh03gon0`002Gon0`003Won0P0037on2`001Gon00<007onOoh08Gon 000DOoh00`00OoiooP08Ooh00`00OoiooP0BOoh50007Ooh800000gon000000030007Ooh9000>Ooh0 0`00OoiooP0QOoh001AooUT002=ooP0087on00<007onOoh09Gon1000A7on000QOoh00`00OoiooP0K Ooh90018Ooh0025ooP03001ooWon019ooPT0055ooP008Gon00<007onOoh02Won2000FWon000ROoh0 0`00OoiooP09001ROoh0029ooP<006]ooP00T7on002@Ooh00001\ \>"], ImageRangeCache->{{{0, 143}, {104.625, 0}} -> {-0.735859, -0.593256, \ 0.0113407, 0.0113407}}] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[TextData[StyleBox["Salvataggio figure eps", FontColor->RGBColor[1, 0, 0]]], "Section"], Cell[CellGroupData[{ Cell[BoxData[ \(SetDirectory["\<\wrk\corsi\scost\class\esercizi\>"]\)], "Input"], Cell[BoxData[ \("C:\\wrk\\corsi\\scost\\class\\esercizi"\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Display["\", fig1, "\"]\)], "Input"], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Display["\", fig2, "\"]\)], "Input"], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Display["\", fig3, "\"]\)], "Input"], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["\<\ Determinante del gradiente della deformazione (valori di L per i quali il \ determinante \[EGrave] negativo)\ \>", "Section"], Cell["\<\ Per L abbastanza grande, punti vicini al vertice in basso a destra si \ spostano al di sotto di essa.\ \>", "Text", CellFrame->True, Background->GrayLevel[0.849989]], Cell[CellGroupData[{ Cell[BoxData[ \(Det[mF[\[Zeta]1, \[Zeta]2]] // N\)], "Input"], Cell[BoxData[ \(\(\(1.0192`\)\(\[InvisibleSpace]\)\) - 0.312`\ \[Zeta]1 + 0.444`\ \[Zeta]2\)], "Output"] }, Open ]], Cell[BoxData[ \(Clear[L, H]\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(Block[{L = 8, H = 2}, Det[mF[L\/2, \(-\(H\/2\)\)]]]\)], "Input"], Cell[BoxData[ \(\(-\(841\/1250\)\)\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Block[{L = 8, H = 2}, Det[mF[L\/2, H\/2]]]\)], "Input"], Cell[BoxData[ \(269\/1250\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Block[{L = 6, H = 2}, Det[mF[L\/2, \(-\(H\/2\)\)]]]\)], "Input"], Cell[BoxData[ \(\(-\(451\/1250\)\)\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Block[{L = 4, H = 1, shape = Join[rettangolo, grigliaO]}, \(ParametricPlot[ Evaluate[ Join[shape, Map[\[Phi], shape]] /. qls, {h, \(-\(1\/2\)\), 1\/2}, AspectRatio \[Rule] Automatic, Axes \[Rule] False]];\)]\)], "Input"], Cell[BoxData[ \(Part::"partd" \(\(:\)\(\ \)\) "Part specification \!\(rettangolo \[LeftDoubleBracket] 1 \ \[RightDoubleBracket]\) is longer than depth of object."\)], "Message"], Cell[BoxData[ \(Part::"partd" \(\(:\)\(\ \)\) "Part specification \!\(rettangolo \[LeftDoubleBracket] 2 \ \[RightDoubleBracket]\) is longer than depth of object."\)], "Message"], Cell[BoxData[ \(Part::"partd" \(\(:\)\(\ \)\) "Part specification \!\(rettangolo \[LeftDoubleBracket] 1 \ \[RightDoubleBracket]\) is longer than depth of object."\)], "Message"], Cell[BoxData[ \(General::"stop" \(\(:\)\(\ \)\) "Further output of \!\(Part :: \"partd\"\) will be suppressed during \ this calculation."\)], "Message"], Cell[BoxData[ \(ParametricPlot::"ppcom" \(\(:\)\(\ \)\) "Function \!\(Join[\(\(rettangolo, grigliaO, \(\({\(\[LeftSkeleton] 1 \ \[RightSkeleton]\)}\)\)\)\)]\) cannot be compiled; plotting will proceed with \ the uncompiled function."\)], "Message"], Cell[BoxData[ \(ParametricPlot::"pptr" \(\(:\)\(\ \)\) "\!\(Join[\(\(rettangolo, grigliaO, \(\({\(\[LeftSkeleton] 1 \ \[RightSkeleton]\)}\)\)\)\)]\) does not evaluate to a pair of real numbers at \ \!\(h\) = \!\(-0.4999999583333333`\)."\)], "Message"], Cell[BoxData[ \(ParametricPlot::"pptr" \(\(:\)\(\ \)\) "\!\(Join[\(\(rettangolo, grigliaO, \(\({\(\[LeftSkeleton] 1 \ \[RightSkeleton]\)}\)\)\)\)]\) does not evaluate to a pair of real numbers at \ \!\(h\) = \!\(-0.4594330084270842`\)."\)], "Message"], Cell[BoxData[ \(ParametricPlot::"pptr" \(\(:\)\(\ \)\) "\!\(Join[\(\(rettangolo, grigliaO, \(\({\(\[LeftSkeleton] 1 \ \[RightSkeleton]\)}\)\)\)\)]\) does not evaluate to a pair of real numbers at \ \!\(h\) = \!\(-0.41519120014062627`\)."\)], "Message"], Cell[BoxData[ \(General::"stop" \(\(:\)\(\ \)\) "Further output of \!\(ParametricPlot :: \"pptr\"\) will be suppressed \ during this calculation."\)], "Message"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 1 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.952381 0.0238095 0.952381 [ [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 288}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg"], ImageRangeCache->{{{0, 287}, {287, 0}} -> {-0.0250052, -0.0250052, \ 0.00365857, 0.00365857}}, ImageCacheContents->"Empty"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Block[{L = 6, H = 1, shape = Join[rettangolo, grigliaO]}, \(ParametricPlot[ Evaluate[ Join[shape, Map[\[Phi], shape]] /. qls, {h, \(-\(1\/2\)\), 1\/2}, AspectRatio \[Rule] Automatic, Axes \[Rule] False]];\)]\)], "Input"], Cell[BoxData[ \(Part::"partd" \(\(:\)\(\ \)\) "Part specification \!\(rettangolo \[LeftDoubleBracket] 1 \ \[RightDoubleBracket]\) is longer than depth of object."\)], "Message"], Cell[BoxData[ \(Part::"partd" \(\(:\)\(\ \)\) "Part specification \!\(rettangolo \[LeftDoubleBracket] 2 \ \[RightDoubleBracket]\) is longer than depth of object."\)], "Message"], Cell[BoxData[ \(Part::"partd" \(\(:\)\(\ \)\) "Part specification \!\(grigliaO \[LeftDoubleBracket] 1 \ \[RightDoubleBracket]\) is longer than depth of object."\)], "Message"], Cell[BoxData[ \(General::"stop" \(\(:\)\(\ \)\) "Further output of \!\(Part :: \"partd\"\) will be suppressed during \ this calculation."\)], "Message"], Cell[BoxData[ \(ParametricPlot::"ppcom" \(\(:\)\(\ \)\) "Function \!\(Join[\(\(rettangolo, grigliaO, \(\({\(\[LeftSkeleton] 1 \ \[RightSkeleton]\)}\)\)\)\)]\) cannot be compiled; plotting will proceed with \ the uncompiled function."\)], "Message"], Cell[BoxData[ \(ParametricPlot::"pptr" \(\(:\)\(\ \)\) "\!\(Join[\(\(rettangolo, grigliaO, \(\({\(\[LeftSkeleton] 1 \ \[RightSkeleton]\)}\)\)\)\)]\) does not evaluate to a pair of real numbers at \ \!\(h\) = \!\(-0.4999999583333333`\)."\)], "Message"], Cell[BoxData[ \(ParametricPlot::"pptr" \(\(:\)\(\ \)\) "\!\(Join[\(\(rettangolo, grigliaO, \(\({\(\[LeftSkeleton] 1 \ \[RightSkeleton]\)}\)\)\)\)]\) does not evaluate to a pair of real numbers at \ \!\(h\) = \!\(-0.4594330084270842`\)."\)], "Message"], Cell[BoxData[ \(ParametricPlot::"pptr" \(\(:\)\(\ \)\) "\!\(Join[\(\(rettangolo, grigliaO, \(\({\(\[LeftSkeleton] 1 \ \[RightSkeleton]\)}\)\)\)\)]\) does not evaluate to a pair of real numbers at \ \!\(h\) = \!\(-0.41519120014062627`\)."\)], "Message"], Cell[BoxData[ \(General::"stop" \(\(:\)\(\ \)\) "Further output of \!\(ParametricPlot :: \"pptr\"\) will be suppressed \ during this calculation."\)], "Message"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 1 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.952381 0.0238095 0.952381 [ [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 288}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCacheValid->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Block[{L = 10, H = 1, shape = Join[rettangolo, grigliaO]}, \(ParametricPlot[ Evaluate[ Join[shape, Map[\[Phi], shape]] /. qls, {h, \(-\(1\/2\)\), 1\/2}, AspectRatio \[Rule] Automatic, Axes \[Rule] False]];\)]\)], "Input"], Cell[BoxData[ \(Part::"partd" \(\(:\)\(\ \)\) "Part specification \!\(rettangolo \[LeftDoubleBracket] 1 \ \[RightDoubleBracket]\) is longer than depth of object."\)], "Message"], Cell[BoxData[ \(Part::"partd" \(\(:\)\(\ \)\) "Part specification \!\(rettangolo \[LeftDoubleBracket] 2 \ \[RightDoubleBracket]\) is longer than depth of object."\)], "Message"], Cell[BoxData[ \(Part::"partd" \(\(:\)\(\ \)\) "Part specification \!\(grigliaO \[LeftDoubleBracket] 1 \ \[RightDoubleBracket]\) is longer than depth of object."\)], "Message"], Cell[BoxData[ \(General::"stop" \(\(:\)\(\ \)\) "Further output of \!\(Part :: \"partd\"\) will be suppressed during \ this calculation."\)], "Message"], Cell[BoxData[ \(ParametricPlot::"ppcom" \(\(:\)\(\ \)\) "Function \!\(Join[\(\(rettangolo, grigliaO, \(\({\(\[LeftSkeleton] 1 \ \[RightSkeleton]\)}\)\)\)\)]\) cannot be compiled; plotting will proceed with \ the uncompiled function."\)], "Message"], Cell[BoxData[ \(ParametricPlot::"pptr" \(\(:\)\(\ \)\) "\!\(Join[\(\(rettangolo, grigliaO, \(\({\(\[LeftSkeleton] 1 \ \[RightSkeleton]\)}\)\)\)\)]\) does not evaluate to a pair of real numbers at \ \!\(h\) = \!\(-0.4999999583333333`\)."\)], "Message"], Cell[BoxData[ \(ParametricPlot::"pptr" \(\(:\)\(\ \)\) "\!\(Join[\(\(rettangolo, grigliaO, \(\({\(\[LeftSkeleton] 1 \ \[RightSkeleton]\)}\)\)\)\)]\) does not evaluate to a pair of real numbers at \ \!\(h\) = \!\(-0.4594330084270842`\)."\)], "Message"], Cell[BoxData[ \(ParametricPlot::"pptr" \(\(:\)\(\ \)\) "\!\(Join[\(\(rettangolo, grigliaO, \(\({\(\[LeftSkeleton] 1 \ \[RightSkeleton]\)}\)\)\)\)]\) does not evaluate to a pair of real numbers at \ \!\(h\) = \!\(-0.41519120014062627`\)."\)], "Message"], Cell[BoxData[ \(General::"stop" \(\(:\)\(\ \)\) "Further output of \!\(ParametricPlot :: \"pptr\"\) will be suppressed \ during this calculation."\)], "Message"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 1 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.952381 0.0238095 0.952381 [ [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 288}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCacheValid->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Block[{L = 10, H = 1, shape = rettangolo}, \(ParametricPlot[ Evaluate[ Join[shape, Map[\[Phi], shape]] /. qls, {h, \(-\(1\/2\)\), 1\/2}, AspectRatio \[Rule] Automatic, Axes \[Rule] False]];\)]\)], "Input"], Cell[BoxData[ \(ParametricPlot::"ppcom" \(\(:\)\(\ \)\) "Function \!\(Join[\(\(rettangolo, rettangolo\)\)]\) cannot be \ compiled; plotting will proceed with the uncompiled function."\)], "Message"], Cell[BoxData[ \(ParametricPlot::"pptr" \(\(:\)\(\ \)\) "\!\(Join[\(\(rettangolo, rettangolo\)\)]\) does not evaluate to a pair \ of real numbers at \!\(h\) = \!\(-0.4999999583333333`\)."\)], "Message"], Cell[BoxData[ \(ParametricPlot::"pptr" \(\(:\)\(\ \)\) "\!\(Join[\(\(rettangolo, rettangolo\)\)]\) does not evaluate to a pair \ of real numbers at \!\(h\) = \!\(-0.4594330084270842`\)."\)], "Message"], Cell[BoxData[ \(ParametricPlot::"pptr" \(\(:\)\(\ \)\) "\!\(Join[\(\(rettangolo, rettangolo\)\)]\) does not evaluate to a pair \ of real numbers at \!\(h\) = \!\(-0.41519120014062627`\)."\)], "Message"], Cell[BoxData[ \(General::"stop" \(\(:\)\(\ \)\) "Further output of \!\(ParametricPlot :: \"pptr\"\) will be suppressed \ during this calculation."\)], "Message"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 1 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.952381 0.0238095 0.952381 [ [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 288}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCacheValid->False] }, Open ]] }, Closed]] }, Open ]] }, FrontEndVersion->"4.1 for Microsoft Windows", ScreenRectangle->{{0, 1024}, {0, 695}}, WindowSize->{931, 668}, WindowMargins->{{0, Automatic}, {Automatic, 0}}, PrintingCopies->1, PrintingPageRange->{Automatic, Automatic}, Magnification->1 ] (******************************************************************* Cached data follows. If you edit this Notebook file directly, not using Mathematica, you must remove the line containing CacheID at the top of the file. The cache data will then be recreated when you save this file from within Mathematica. *******************************************************************) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[CellGroupData[{ Cell[1727, 52, 52, 0, 115, "Title"], Cell[CellGroupData[{ Cell[1804, 56, 112, 3, 59, "Section"], Cell[1919, 61, 44, 1, 30, "Input"], Cell[1966, 64, 48, 0, 33, "Text"], Cell[2017, 66, 238, 4, 30, "Input"], Cell[2258, 72, 51, 0, 33, "Text"], Cell[CellGroupData[{ Cell[2334, 76, 226, 3, 30, "Input"], Cell[2563, 81, 220, 4, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[2820, 90, 41, 1, 30, "Input"], Cell[2864, 93, 232, 4, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[3133, 102, 74, 1, 30, "Input"], Cell[3210, 105, 178, 3, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[3425, 113, 72, 1, 30, "Input"], Cell[3500, 116, 151, 2, 70, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[3700, 124, 57, 0, 39, "Section"], Cell[3760, 126, 114, 2, 30, "Input"], Cell[3877, 130, 154, 3, 30, "Input"], Cell[CellGroupData[{ Cell[4056, 137, 54, 1, 30, "Input"], Cell[4113, 140, 234, 5, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[4384, 150, 77, 1, 30, "Input"], Cell[4464, 153, 147, 2, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[4648, 160, 71, 1, 30, "Input"], Cell[4722, 163, 158, 2, 70, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[4929, 171, 47, 0, 39, "Section"], Cell[4979, 173, 88, 1, 30, "Input"], Cell[CellGroupData[{ Cell[5092, 178, 74, 1, 30, "Input"], Cell[5169, 181, 323, 7, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[5529, 193, 81, 1, 30, "Input"], Cell[5613, 196, 339, 8, 70, "Output"] }, Open ]], Cell[5967, 207, 112, 2, 30, "Input"], Cell[CellGroupData[{ Cell[6104, 213, 85, 1, 30, "Input"], Cell[6192, 216, 385, 9, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[6614, 230, 101, 2, 30, "Input"], Cell[6718, 234, 461, 10, 70, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[7228, 250, 79, 0, 39, "Section"], Cell[CellGroupData[{ Cell[7332, 254, 195, 4, 42, "Input"], Cell[7530, 260, 67161, 1381, 70, 21212, 809, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]], Cell[CellGroupData[{ Cell[74728, 1646, 84, 1, 42, "Input"], Cell[74815, 1649, 44, 1, 70, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[74908, 1656, 64, 0, 39, "Section"], Cell[74975, 1658, 126, 2, 30, "Input"], Cell[CellGroupData[{ Cell[75126, 1664, 85, 1, 30, "Input"], Cell[75214, 1667, 576, 12, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[75827, 1684, 115, 2, 30, "Input"], Cell[75945, 1688, 970, 17, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[76952, 1710, 115, 2, 30, "Input"], Cell[77070, 1714, 514, 7, 70, "Output"] }, Open ]], Cell[77599, 1724, 347, 6, 44, "Input"], Cell[77949, 1732, 347, 6, 44, "Input"], Cell[78299, 1740, 90, 1, 32, "Input"], Cell[78392, 1743, 313, 5, 44, "Input"] }, Closed]], Cell[CellGroupData[{ Cell[78742, 1753, 66, 0, 39, "Section"], Cell[CellGroupData[{ Cell[78833, 1757, 36, 0, 47, "Subsection"], Cell[78872, 1759, 43, 1, 30, "Input"], Cell[CellGroupData[{ Cell[78940, 1764, 62, 1, 30, "Input"], Cell[79005, 1767, 190, 3, 70, "Message"], Cell[79198, 1772, 190, 3, 70, "Message"] }, Open ]], Cell[CellGroupData[{ Cell[79425, 1780, 66, 1, 30, "Input"], Cell[79494, 1783, 76, 1, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[79607, 1789, 104, 2, 30, "Input"], Cell[79714, 1793, 308, 7, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[80059, 1805, 104, 2, 30, "Input"], Cell[80166, 1809, 302, 7, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[80505, 1821, 103, 2, 30, "Input"], Cell[80611, 1825, 304, 7, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[80952, 1837, 205, 3, 42, "Input"], Cell[81160, 1842, 58, 1, 70, "Output"] }, Open ]], Cell[81233, 1846, 41, 1, 30, "Input"] }, Closed]], Cell[CellGroupData[{ Cell[81311, 1852, 50, 0, 31, "Subsection"], Cell[81364, 1854, 43, 1, 30, "Input"], Cell[81410, 1857, 74, 1, 42, "Input"], Cell[CellGroupData[{ Cell[81509, 1862, 66, 1, 30, "Input"], Cell[81578, 1865, 76, 1, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[81691, 1871, 104, 2, 30, "Input"], Cell[81798, 1875, 305, 7, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[82140, 1887, 104, 2, 30, "Input"], Cell[82247, 1891, 299, 7, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[82583, 1903, 103, 2, 30, "Input"], Cell[82689, 1907, 304, 7, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[83030, 1919, 205, 3, 42, "Input"], Cell[83238, 1924, 59, 1, 70, "Output"] }, Open ]], Cell[83312, 1928, 41, 1, 30, "Input"] }, Closed]], Cell[CellGroupData[{ Cell[83390, 1934, 50, 0, 31, "Subsection"], Cell[83443, 1936, 43, 1, 30, "Input"], Cell[83489, 1939, 65, 1, 42, "Input"], Cell[CellGroupData[{ Cell[83579, 1944, 66, 1, 30, "Input"], Cell[83648, 1947, 76, 1, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[83761, 1953, 104, 2, 30, "Input"], Cell[83868, 1957, 303, 7, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[84208, 1969, 104, 2, 30, "Input"], Cell[84315, 1973, 297, 7, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[84649, 1985, 103, 2, 30, "Input"], Cell[84755, 1989, 304, 7, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[85096, 2001, 205, 3, 42, "Input"], Cell[85304, 2006, 59, 1, 70, "Output"] }, Open ]], Cell[85378, 2010, 41, 1, 30, "Input"] }, Closed]], Cell[CellGroupData[{ Cell[85456, 2016, 49, 0, 31, "Subsection"], Cell[85508, 2018, 43, 1, 30, "Input"], Cell[85554, 2021, 65, 1, 42, "Input"], Cell[CellGroupData[{ Cell[85644, 2026, 66, 1, 30, "Input"], Cell[85713, 2029, 76, 1, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[85826, 2035, 104, 2, 30, "Input"], Cell[85933, 2039, 305, 7, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[86275, 2051, 104, 2, 30, "Input"], Cell[86382, 2055, 299, 7, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[86718, 2067, 103, 2, 30, "Input"], Cell[86824, 2071, 303, 7, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[87164, 2083, 205, 3, 42, "Input"], Cell[87372, 2088, 59, 1, 70, "Output"] }, Open ]], Cell[87446, 2092, 41, 1, 30, "Input"] }, Closed]], Cell[CellGroupData[{ Cell[87524, 2098, 52, 0, 31, "Subsection"], Cell[87579, 2100, 43, 1, 30, "Input"], Cell[87625, 2103, 74, 1, 42, "Input"], Cell[CellGroupData[{ Cell[87724, 2108, 66, 1, 30, "Input"], Cell[87793, 2111, 76, 1, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[87906, 2117, 104, 2, 30, "Input"], Cell[88013, 2121, 307, 7, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[88357, 2133, 104, 2, 30, "Input"], Cell[88464, 2137, 301, 7, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[88802, 2149, 103, 2, 30, "Input"], Cell[88908, 2153, 304, 7, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[89249, 2165, 205, 3, 42, "Input"], Cell[89457, 2170, 59, 1, 70, "Output"] }, Open ]], Cell[89531, 2174, 41, 1, 30, "Input"] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell[89621, 2181, 54, 0, 39, "Section"], Cell[89678, 2183, 44, 1, 30, "Input"], Cell[CellGroupData[{ Cell[89747, 2188, 204, 3, 65, "Input"], Cell[89954, 2193, 42, 1, 42, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[90033, 2199, 39, 1, 30, "Input"], Cell[90075, 2202, 41, 1, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[90153, 2208, 72, 0, 47, "Subsection"], Cell[CellGroupData[{ Cell[90250, 2212, 231, 4, 74, "Input"], Cell[90484, 2218, 41, 1, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[90562, 2224, 231, 4, 74, "Input"], Cell[90796, 2230, 41, 1, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[90874, 2236, 231, 4, 74, "Input"], Cell[91108, 2242, 41, 1, 70, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[91198, 2249, 76, 0, 31, "Subsection"], Cell[CellGroupData[{ Cell[91299, 2253, 251, 4, 74, "Input"], Cell[91553, 2259, 41, 1, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[91631, 2265, 251, 4, 74, "Input"], Cell[91885, 2271, 41, 1, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[91963, 2277, 251, 4, 74, "Input"], Cell[92217, 2283, 46, 1, 70, "Output"] }, Open ]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell[92324, 2291, 49, 0, 39, "Section"], Cell[92376, 2293, 41, 1, 30, "Input"], Cell[92420, 2296, 43, 1, 42, "Input"], Cell[CellGroupData[{ Cell[92488, 2301, 229, 4, 53, "Input"], Cell[92720, 2307, 87, 1, 50, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[92844, 2313, 207, 3, 53, "Input"], Cell[93054, 2318, 52, 1, 45, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[93143, 2324, 275, 4, 65, "Input"], Cell[93421, 2330, 42, 1, 42, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[93500, 2336, 39, 1, 30, "Input"], Cell[93542, 2339, 41, 1, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[93620, 2345, 72, 0, 47, "Subsection"], Cell[CellGroupData[{ Cell[93717, 2349, 262, 4, 71, "Input"], Cell[93982, 2355, 85, 1, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[94104, 2361, 54, 1, 30, "Input"], Cell[94161, 2364, 53, 1, 70, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[94263, 2371, 71, 0, 47, "Subsection"], Cell[CellGroupData[{ Cell[94359, 2375, 262, 5, 72, "Input"], Cell[94624, 2382, 72, 1, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[94733, 2388, 54, 1, 30, "Input"], Cell[94790, 2391, 53, 1, 70, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[94892, 2398, 74, 0, 47, "Subsection"], Cell[CellGroupData[{ Cell[94991, 2402, 258, 4, 71, "Input"], Cell[95252, 2408, 77, 1, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[95366, 2414, 54, 1, 30, "Input"], Cell[95423, 2417, 53, 1, 70, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[95525, 2424, 73, 0, 47, "Subsection"], Cell[CellGroupData[{ Cell[95623, 2428, 261, 4, 72, "Input"], Cell[95887, 2434, 80, 1, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[96004, 2440, 54, 1, 30, "Input"], Cell[96061, 2443, 53, 1, 70, "Output"] }, Open ]] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[96175, 2451, 53, 0, 39, "Section"], Cell[96231, 2453, 72, 1, 30, "Input"], Cell[96306, 2456, 74, 1, 30, "Input"], Cell[96383, 2459, 82, 1, 30, "Input"], Cell[96468, 2462, 84, 2, 50, "Input"], Cell[96555, 2466, 49, 1, 30, "Input"], Cell[96607, 2469, 71, 1, 30, "Input"], Cell[CellGroupData[{ Cell[96703, 2474, 40, 1, 30, "Input"], Cell[96746, 2477, 46, 1, 29, "Output"] }, Open ]], Cell[96807, 2481, 224, 4, 144, "Input"], Cell[97034, 2487, 87, 1, 30, "Input"], Cell[97124, 2490, 68, 1, 30, "Input"], Cell[CellGroupData[{ Cell[97217, 2495, 68, 1, 30, "Input"], Cell[97288, 2498, 185, 3, 24, "Message"] }, Open ]], Cell[97488, 2504, 131, 2, 42, "Input"], Cell[CellGroupData[{ Cell[97644, 2510, 131, 2, 42, "Input"], Cell[97778, 2514, 189, 3, 24, "Message"] }, Open ]], Cell[97982, 2520, 64, 1, 46, "Input"], Cell[98049, 2523, 87, 1, 30, "Input"], Cell[98139, 2526, 87, 1, 30, "Input"], Cell[CellGroupData[{ Cell[98251, 2531, 55, 1, 30, "Input"], Cell[98309, 2534, 141, 2, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[98487, 2541, 352, 7, 86, "Input"], Cell[98842, 2550, 9843, 326, 114, 3791, 248, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]], Cell[CellGroupData[{ Cell[108722, 2881, 374, 7, 86, "Input"], Cell[109099, 2890, 12464, 401, 114, 4581, 300, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]], Cell[CellGroupData[{ Cell[121600, 3296, 402, 8, 86, "Input"], Cell[122005, 3306, 15258, 477, 117, 5405, 352, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]], Cell[CellGroupData[{ Cell[137300, 3788, 368, 7, 86, "Input"], Cell[137671, 3797, 20896, 631, 114, 6975, 456, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]], Cell[CellGroupData[{ Cell[158604, 4433, 368, 7, 86, "Input"], Cell[158975, 4442, 12862, 532, 114, 6968, 456, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]], Cell[CellGroupData[{ Cell[171874, 4979, 378, 7, 86, "Input"], Cell[172255, 4988, 23259, 829, 114, 10152, 664, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]], Cell[195529, 5820, 58, 0, 33, "Text"], Cell[195590, 5822, 43, 1, 42, "Input"], Cell[195636, 5825, 85, 1, 30, "Input"], Cell[CellGroupData[{ Cell[195746, 5830, 372, 8, 86, "Input"], Cell[196121, 5840, 12506, 432, 133, 5354, 340, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]], Cell[CellGroupData[{ Cell[208664, 6277, 405, 8, 86, "Input"], Cell[209072, 6287, 17366, 576, 133, 6950, 444, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]], Cell[CellGroupData[{ Cell[226475, 6868, 428, 9, 88, "Input"], Cell[226906, 6879, 17961, 583, 133, 6934, 444, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]], Cell[CellGroupData[{ Cell[244904, 7467, 402, 8, 86, "Input"], Cell[245309, 7477, 17932, 583, 133, 6949, 444, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]], Cell[CellGroupData[{ Cell[263278, 8065, 367, 7, 86, "Input"], Cell[263648, 8074, 16643, 652, 114, 8477, 548, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[280340, 8732, 93, 1, 39, "Section"], Cell[CellGroupData[{ Cell[280458, 8737, 84, 1, 30, "Input"], Cell[280545, 8740, 74, 1, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[280656, 8746, 73, 1, 30, "Input"], Cell[280732, 8749, 130, 3, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[280899, 8757, 73, 1, 30, "Input"], Cell[280975, 8760, 130, 3, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[281142, 8768, 73, 1, 30, "Input"], Cell[281218, 8771, 130, 3, 29, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[281397, 8780, 136, 3, 59, "Section"], Cell[281536, 8785, 179, 5, 49, "Text"], Cell[CellGroupData[{ Cell[281740, 8794, 65, 1, 30, "Input"], Cell[281808, 8797, 115, 2, 29, "Output"] }, Open ]], Cell[281938, 8802, 44, 1, 30, "Input"], Cell[CellGroupData[{ Cell[282007, 8807, 84, 1, 42, "Input"], Cell[282094, 8810, 52, 1, 42, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[282183, 8816, 75, 1, 42, "Input"], Cell[282261, 8819, 43, 1, 42, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[282341, 8825, 84, 1, 42, "Input"], Cell[282428, 8828, 52, 1, 42, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[282517, 8834, 297, 6, 64, "Input"], Cell[282817, 8842, 188, 3, 24, "Message"], Cell[283008, 8847, 188, 3, 24, "Message"], Cell[283199, 8852, 188, 3, 24, "Message"], Cell[283390, 8857, 163, 3, 24, "Message"], Cell[283556, 8862, 259, 4, 42, "Message"], Cell[283818, 8868, 262, 4, 24, "Message"], Cell[284083, 8874, 262, 4, 24, "Message"], Cell[284348, 8880, 263, 4, 24, "Message"], Cell[284614, 8886, 172, 3, 24, "Message"], Cell[284789, 8891, 4024, 84, 296, 578, 36, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]], Cell[CellGroupData[{ Cell[288850, 8980, 297, 6, 64, "Input"], Cell[289150, 8988, 188, 3, 24, "Message"], Cell[289341, 8993, 188, 3, 24, "Message"], Cell[289532, 8998, 186, 3, 24, "Message"], Cell[289721, 9003, 163, 3, 24, "Message"], Cell[289887, 9008, 259, 4, 42, "Message"], Cell[290149, 9014, 262, 4, 24, "Message"], Cell[290414, 9020, 262, 4, 24, "Message"], Cell[290679, 9026, 263, 4, 24, "Message"], Cell[290945, 9032, 172, 3, 24, "Message"], Cell[291120, 9037, 697, 40, 296, 578, 36, "GraphicsData", "PostScript", \ "Graphics", ImageCacheValid->False] }, Open ]], Cell[CellGroupData[{ Cell[291854, 9082, 298, 6, 64, "Input"], Cell[292155, 9090, 188, 3, 24, "Message"], Cell[292346, 9095, 188, 3, 24, "Message"], Cell[292537, 9100, 186, 3, 24, "Message"], Cell[292726, 9105, 163, 3, 24, "Message"], Cell[292892, 9110, 259, 4, 42, "Message"], Cell[293154, 9116, 262, 4, 24, "Message"], Cell[293419, 9122, 262, 4, 24, "Message"], Cell[293684, 9128, 263, 4, 24, "Message"], Cell[293950, 9134, 172, 3, 24, "Message"], Cell[294125, 9139, 697, 40, 296, 578, 36, "GraphicsData", "PostScript", \ "Graphics", ImageCacheValid->False] }, Open ]], Cell[CellGroupData[{ Cell[294859, 9184, 282, 6, 64, "Input"], Cell[295144, 9192, 209, 3, 42, "Message"], Cell[295356, 9197, 212, 3, 24, "Message"], Cell[295571, 9202, 212, 3, 24, "Message"], Cell[295786, 9207, 213, 3, 24, "Message"], Cell[296002, 9212, 172, 3, 24, "Message"], Cell[296177, 9217, 697, 40, 296, 578, 36, "GraphicsData", "PostScript", \ "Graphics", ImageCacheValid->False] }, Open ]] }, Closed]] }, Open ]] } ] *) (******************************************************************* End of Mathematica Notebook file. *******************************************************************)