(* Content-type: application/mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 7.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 145, 7] NotebookDataLength[ 33483, 694] NotebookOptionsPosition[ 16817, 393] NotebookOutlinePosition[ 33384, 690] CellTagsIndexPosition[ 33341, 687] WindowFrame->Normal*) (* Beginning of Notebook Content *) Notebook[{ Cell[TextData[StyleBox["Waves on Water", "Subtitle"]], "Input", CellChangeTimes->{{3.485777145263275*^9, 3.485777182890541*^9}, { 3.4857772760695047`*^9, 3.4857772996411457`*^9}, {3.485886443662616*^9, 3.4858864448170176`*^9}, {3.4859077213270044`*^9, 3.485907746053048*^9}, { 3.485961122116884*^9, 3.4859611242540884`*^9}, {3.4859836498845663`*^9, 3.48598365766018*^9}}], Cell[TextData[StyleBox["Combined Longitudinal and Transverse Waves", \ "Subsubtitle"]], "Input", CellChangeTimes->{{3.485777145263275*^9, 3.485777182890541*^9}, { 3.4857772760695047`*^9, 3.4857772996411457`*^9}, {3.485886443662616*^9, 3.4858864448170176`*^9}, {3.4859077213270044`*^9, 3.485907746053048*^9}, { 3.485961122116884*^9, 3.4859611242540884`*^9}, {3.4859836498845663`*^9, 3.485983688407834*^9}}], Cell["\<\ The animation shows a combined longitudinal and transverse wave, similar to \ surface waves on water. The surface is marked by a series of points which \ may be thought of as molecules or floating objects. water. Clicking on the \ \"+\" symbol next to the slider for \"Time\" will reveal a \"play\" button \ (black triangle) as well as controls for speeding up and slowing down. Adjusting \"Amplitude\" controls the degree of motion of intividual points on \ the surface, and thus changes both the amplitude and shape of the wave. \ Toggling \"Show Tracks\" (0 or 1) displays or hides the trajectories of the \ red dots on the surface. Toggling \"Direction\" (-1 or 1) changes the \ direction of motion of points on the surface (clockwise or counterclockwise) \ and as a result changes the direction of travel of the wave (left or right).\ \>", "Text", CellChangeTimes->{{3.485886429840991*^9, 3.485886429856591*^9}, { 3.4859077685950875`*^9, 3.4859079553898153`*^9}, {3.485907995481886*^9, 3.4859081363033333`*^9}, {3.485908184959819*^9, 3.485908326826468*^9}, { 3.485952423637287*^9, 3.485952460609352*^9}, {3.485958475430174*^9, 3.485958536285881*^9}, {3.485958591119977*^9, 3.485958608748008*^9}, { 3.485961128575296*^9, 3.485961151616536*^9}, {3.4859633112279296`*^9, 3.48596331139953*^9}, {3.4859836968006487`*^9, 3.4859838270452776`*^9}, { 3.4859841434138336`*^9, 3.4859843050925174`*^9}}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Manipulate", "[", " ", RowBox[{ RowBox[{"Show", "[", "\[IndentingNewLine]", RowBox[{ RowBox[{"ListPlot", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"Table", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"n", "+", RowBox[{"5", " ", "A", " ", RowBox[{"Sin", "[", " ", RowBox[{ RowBox[{ RowBox[{"Pi", "/", "10"}], "n"}], "-", " ", RowBox[{"dir", " ", "2", " ", "Pi", " ", "t"}]}], "]"}]}]}], ",", RowBox[{ RowBox[{ RowBox[{"-", "1"}], "/", "10"}], " ", "A", " ", RowBox[{"Cos", "[", RowBox[{ RowBox[{ RowBox[{"Pi", "/", "10"}], "n"}], "-", " ", RowBox[{"dir", " ", "2", " ", "Pi", " ", "t"}]}], "]"}]}]}], "}"}], ",", RowBox[{"{", RowBox[{"n", ",", RowBox[{"-", "20"}], ",", "20", ",", "1"}], "}"}]}], "]"}], ",", RowBox[{"Table", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{ RowBox[{"10", " ", "n"}], "+", RowBox[{"5", " ", "A", " ", RowBox[{"Sin", "[", " ", RowBox[{ RowBox[{"Pi", " ", "n"}], "-", " ", RowBox[{"dir", " ", "2", " ", "Pi", " ", "t"}]}], "]"}]}]}], ",", RowBox[{ RowBox[{ RowBox[{"-", "1"}], "/", "10"}], " ", "A", " ", RowBox[{"Cos", "[", " ", RowBox[{ RowBox[{"Pi", " ", "n"}], "-", " ", RowBox[{"dir", " ", "2", " ", "Pi", " ", "t"}]}], "]"}]}]}], "}"}], ",", RowBox[{"{", RowBox[{"n", ",", RowBox[{"-", "2"}], ",", "2", ",", "1"}], "}"}]}], "]"}], ",", "\[IndentingNewLine]", RowBox[{"Table", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"23", " ", "z"}], ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{"z", ",", RowBox[{"-", "1"}], ",", "1", ",", "1"}], "}"}]}], "]"}]}], "}"}], ",", RowBox[{"Filling", "\[Rule]", "Axis"}], ",", RowBox[{"PlotRange", "\[Rule]", RowBox[{"{", RowBox[{ RowBox[{"-", ".2"}], ",", ".2"}], "}"}]}], ",", RowBox[{"PlotStyle", "\[Rule]", RowBox[{"{", RowBox[{"Blue", ",", "Red", ",", "White"}], "}"}]}], ",", RowBox[{"Axes", "\[Rule]", "None"}]}], "]"}], ",", RowBox[{"ParametricPlot", "[", RowBox[{ RowBox[{"tracks", "*", RowBox[{"{", RowBox[{ RowBox[{"5", " ", "A", " ", RowBox[{"Sin", "[", RowBox[{"0", "-", RowBox[{"2", " ", "Pi", " ", "tt"}]}], "]"}]}], ",", RowBox[{ RowBox[{ RowBox[{"-", "1"}], "/", "10"}], " ", "A", " ", RowBox[{"Cos", "[", RowBox[{"0", "-", RowBox[{"2", " ", "Pi", " ", "tt"}]}], "]"}]}]}], "}"}]}], ",", RowBox[{"{", RowBox[{"tt", ",", "0", ",", RowBox[{"2", " ", "Pi"}]}], "}"}], ",", RowBox[{"PlotStyle", "\[Rule]", "Pink"}]}], "]"}], ",", RowBox[{"ParametricPlot", "[", RowBox[{ RowBox[{"tracks", "*", RowBox[{"{", RowBox[{ RowBox[{"10", " ", "+", RowBox[{"5", " ", "A", " ", RowBox[{"Sin", "[", RowBox[{ RowBox[{"Pi", "/", "4"}], "-", RowBox[{"2", " ", "Pi", " ", "tt"}]}], "]"}]}]}], ",", RowBox[{ RowBox[{ RowBox[{"-", "1"}], "/", "10"}], " ", "A", " ", RowBox[{"Cos", "[", " ", RowBox[{ RowBox[{"Pi", "/", "4"}], "-", RowBox[{"2", " ", "Pi", " ", "tt"}]}], "]"}]}]}], "}"}]}], ",", RowBox[{"{", RowBox[{"tt", ",", "0", ",", RowBox[{"2", " ", "Pi"}]}], "}"}], ",", RowBox[{"PlotStyle", "\[Rule]", "Pink"}]}], "]"}], ",", RowBox[{"ParametricPlot", "[", RowBox[{ RowBox[{"tracks", "*", RowBox[{"{", RowBox[{ RowBox[{ RowBox[{"-", "10"}], " ", "+", RowBox[{"5", " ", "A", " ", RowBox[{"Sin", "[", RowBox[{ RowBox[{ RowBox[{"-", "1"}], " ", RowBox[{"Pi", "/", "4"}]}], "-", RowBox[{"2", " ", "Pi", " ", "tt"}]}], "]"}]}]}], ",", RowBox[{ RowBox[{ RowBox[{"-", "1"}], "/", "10"}], " ", "A", " ", RowBox[{"Cos", "[", RowBox[{ RowBox[{ RowBox[{"-", "1"}], RowBox[{"Pi", "/", "4"}]}], "-", RowBox[{"2", " ", "Pi", " ", "tt"}]}], "]"}]}]}], "}"}]}], ",", RowBox[{"{", RowBox[{"tt", ",", "0", ",", RowBox[{"2", " ", "Pi"}]}], "}"}], ",", RowBox[{"PlotStyle", "\[Rule]", "Pink"}]}], "]"}], ",", RowBox[{"ParametricPlot", "[", RowBox[{ RowBox[{"tracks", "*", RowBox[{"{", RowBox[{ RowBox[{ RowBox[{"-", "20"}], " ", "+", RowBox[{"5", " ", "A", " ", RowBox[{"Sin", "[", RowBox[{ RowBox[{ RowBox[{"-", "2"}], " ", RowBox[{"Pi", "/", "4"}]}], "-", RowBox[{"2", " ", "Pi", " ", "tt"}]}], "]"}]}]}], ",", RowBox[{ RowBox[{ RowBox[{"-", "1"}], "/", "10"}], " ", "A", " ", RowBox[{"Cos", "[", RowBox[{ RowBox[{ RowBox[{"-", "2"}], " ", RowBox[{"Pi", "/", "4"}]}], "-", RowBox[{"2", " ", "Pi", " ", "tt"}]}], "]"}]}]}], "}"}]}], ",", RowBox[{"{", RowBox[{"tt", ",", "0", ",", RowBox[{"2", " ", "Pi"}]}], "}"}], ",", RowBox[{"PlotStyle", "\[Rule]", "Pink"}]}], "]"}], ",", RowBox[{"ParametricPlot", "[", RowBox[{ RowBox[{"tracks", "*", RowBox[{"{", RowBox[{ RowBox[{"20", "+", RowBox[{"5", " ", "A", " ", RowBox[{"Sin", "[", RowBox[{ RowBox[{"2", " ", RowBox[{"Pi", "/", "4"}]}], "-", RowBox[{"2", " ", "Pi", " ", "tt"}]}], "]"}]}]}], ",", RowBox[{ RowBox[{ RowBox[{"-", "1"}], "/", "10"}], " ", "A", " ", RowBox[{"Cos", "[", RowBox[{ RowBox[{"2", " ", RowBox[{"Pi", "/", "4"}]}], "-", RowBox[{"2", " ", "Pi", " ", "tt"}]}], "]"}]}]}], "}"}]}], ",", RowBox[{"{", RowBox[{"tt", ",", "0", ",", RowBox[{"2", " ", "Pi"}]}], "}"}], ",", RowBox[{"PlotStyle", "\[Rule]", "Pink"}]}], "]"}]}], "]"}], ",", "\[IndentingNewLine]", RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{"t", ",", "0", ",", "\"\\""}], "}"}], ",", " ", "0", ",", " ", "3"}], "}"}], ",", " ", "\[IndentingNewLine]", " ", RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{"A", ",", ".3", ",", "\"\\""}], "}"}], ",", "0.15", ",", ".5"}], "}"}], ",", "\[IndentingNewLine]", " ", RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{"tracks", ",", " ", "0", ",", " ", "\"\\""}], "}"}], ",", RowBox[{"{", RowBox[{"0", ",", "1"}], "}"}]}], "}"}], ",", "\[IndentingNewLine]", " ", RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{"dir", ",", " ", "1", ",", " ", "\"\\""}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{"-", "1"}], ",", "1"}], "}"}]}], "}"}]}], "]"}]], "Input", CellChangeTimes->{{3.4858140912785645`*^9, 3.4858141280010295`*^9}, { 3.485814165364095*^9, 3.4858141753013124`*^9}, {3.485814226687803*^9, 3.485814288089511*^9}, {3.4858143387895994`*^9, 3.485814371549657*^9}, { 3.485814413529331*^9, 3.4858144257129526`*^9}, {3.4858144605026135`*^9, 3.485814461750616*^9}, {3.4858145099235*^9, 3.4858145133087063`*^9}, { 3.4858145919806447`*^9, 3.4858145962394524`*^9}, {3.485814692772422*^9, 3.485814720665271*^9}, {3.4858147701485577`*^9, 3.485814773923764*^9}, 3.485814849552697*^9, {3.485983861490138*^9, 3.485983937930272*^9}, { 3.485983975136338*^9, 3.4859839805807476`*^9}, {3.4859840166012106`*^9, 3.485984059532486*^9}}], Cell[BoxData[ TagBox[ StyleBox[ DynamicModuleBox[{$CellContext`A$$ = 0.3, $CellContext`dir$$ = 1, $CellContext`t$$ = 0, $CellContext`tracks$$ = 0, Typeset`show$$ = True, Typeset`bookmarkList$$ = {}, Typeset`bookmarkMode$$ = "Menu", Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = "\"untitled\"", Typeset`specs$$ = {{{ Hold[$CellContext`t$$], 0, "Time"}, 0, 3}, {{ Hold[$CellContext`A$$], 0.3, "Amplitude"}, 0.15, 0.5}, {{ Hold[$CellContext`tracks$$], 0, "Show Tracks"}, {0, 1}}, {{ Hold[$CellContext`dir$$], 1, "Direction"}, {-1, 1}}}, Typeset`size$$ = {576., {171., 185.}}, Typeset`update$$ = 0, Typeset`initDone$$, Typeset`skipInitDone$$ = True, $CellContext`t$148859$$ = 0, $CellContext`A$148860$$ = 0, $CellContext`tracks$148861$$ = False, $CellContext`dir$148862$$ = False}, DynamicBox[Manipulate`ManipulateBoxes[ 1, StandardForm, "Variables" :> {$CellContext`A$$ = 0.3, $CellContext`dir$$ = 1, $CellContext`t$$ = 0, $CellContext`tracks$$ = 0}, "ControllerVariables" :> { Hold[$CellContext`t$$, $CellContext`t$148859$$, 0], Hold[$CellContext`A$$, $CellContext`A$148860$$, 0], Hold[$CellContext`tracks$$, $CellContext`tracks$148861$$, False], Hold[$CellContext`dir$$, $CellContext`dir$148862$$, False]}, "OtherVariables" :> { Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$, Typeset`skipInitDone$$}, "Body" :> Show[ ListPlot[{ Table[{$CellContext`n + 5 $CellContext`A$$ Sin[(Pi/10) $CellContext`n - $CellContext`dir$$ 2 Pi $CellContext`t$$], ((-1)/10) $CellContext`A$$ Cos[(Pi/10) $CellContext`n - $CellContext`dir$$ 2 Pi $CellContext`t$$]}, {$CellContext`n, -20, 20, 1}], Table[{10 $CellContext`n + 5 $CellContext`A$$ Sin[Pi $CellContext`n - $CellContext`dir$$ 2 Pi $CellContext`t$$], ((-1)/10) $CellContext`A$$ Cos[Pi $CellContext`n - $CellContext`dir$$ 2 Pi $CellContext`t$$]}, {$CellContext`n, -2, 2, 1}], Table[{23 $CellContext`z, 0}, {$CellContext`z, -1, 1, 1}]}, Filling -> Axis, PlotRange -> {-0.2, 0.2}, PlotStyle -> {Blue, Red, White}, Axes -> None], ParametricPlot[$CellContext`tracks$$ { 5 $CellContext`A$$ Sin[0 - 2 Pi $CellContext`tt], ((-1)/10) $CellContext`A$$ Cos[0 - 2 Pi $CellContext`tt]}, {$CellContext`tt, 0, 2 Pi}, PlotStyle -> Pink], ParametricPlot[$CellContext`tracks$$ { 10 + 5 $CellContext`A$$ Sin[Pi/4 - 2 Pi $CellContext`tt], ((-1)/ 10) $CellContext`A$$ Cos[Pi/4 - 2 Pi $CellContext`tt]}, {$CellContext`tt, 0, 2 Pi}, PlotStyle -> Pink], ParametricPlot[$CellContext`tracks$$ {-10 + 5 $CellContext`A$$ Sin[-(Pi/4) - 2 Pi $CellContext`tt], ((-1)/ 10) $CellContext`A$$ Cos[-(Pi/4) - 2 Pi $CellContext`tt]}, {$CellContext`tt, 0, 2 Pi}, PlotStyle -> Pink], ParametricPlot[$CellContext`tracks$$ {-20 + 5 $CellContext`A$$ Sin[(-2) (Pi/4) - 2 Pi $CellContext`tt], ((-1)/ 10) $CellContext`A$$ Cos[(-2) (Pi/4) - 2 Pi $CellContext`tt]}, {$CellContext`tt, 0, 2 Pi}, PlotStyle -> Pink], ParametricPlot[$CellContext`tracks$$ { 20 + 5 $CellContext`A$$ Sin[2 (Pi/4) - 2 Pi $CellContext`tt], ((-1)/ 10) $CellContext`A$$ Cos[2 (Pi/4) - 2 Pi $CellContext`tt]}, {$CellContext`tt, 0, 2 Pi}, PlotStyle -> Pink]], "Specifications" :> {{{$CellContext`t$$, 0, "Time"}, 0, 3}, {{$CellContext`A$$, 0.3, "Amplitude"}, 0.15, 0.5}, {{$CellContext`tracks$$, 0, "Show Tracks"}, {0, 1}}, {{$CellContext`dir$$, 1, "Direction"}, {-1, 1}}}, "Options" :> {}, "DefaultOptions" :> {}], ImageSizeCache->{650., {307., 316.}}, SingleEvaluation->True], Deinitialization:>None, DynamicModuleValues:>{}, SynchronousInitialization->True, UnsavedVariables:>{Typeset`initDone$$}, UntrackedVariables:>{Typeset`size$$}], "Manipulate", Deployed->True, StripOnInput->False], Manipulate`InterpretManipulate[1]]], "Output", CellChangeTimes->{{3.4858140287536554`*^9, 3.485814053682499*^9}, { 3.485814128874631*^9, 3.485814216095384*^9}, 3.4858142886511116`*^9, 3.4858143726884594`*^9, {3.485814426773754*^9, 3.485814462390217*^9}, { 3.4858145139015074`*^9, 3.4858145367711477`*^9}, {3.485814596707453*^9, 3.4858147272328825`*^9}, {3.485814763955347*^9, 3.4858148160594387`*^9}, { 3.4858148503014984`*^9, 3.485814857805112*^9}, {3.4858148995195847`*^9, 3.485814922748026*^9}, {3.4859835181111345`*^9, 3.4859835241639457`*^9}, 3.4859835669080205`*^9, {3.485983938507474*^9, 3.4859840892817383`*^9}, { 3.4859843308285627`*^9, 3.485984357083409*^9}, {3.486037484670602*^9, 3.486037498008625*^9}, {3.4860375716563544`*^9, 3.48603758071997*^9}}] }, {2}]] }, WindowSize->{1350, 633}, WindowMargins->{{0, Automatic}, {Automatic, 0}}, DockedCells->FEPrivate`If[ FEPrivate`SameQ[FEPrivate`$ProductIDName, "MathematicaPlayer"], FEPrivate`Join[{ Cell[ BoxData[ GraphicsBox[ RasterBox[CompressedData[" 1:eJztXXdYFNfaz3O/f+79vudek3vTLKBIEaQpTRC7BgtqLCTWGxNjYsFookE0 NoxRY6oFuyIiWJCO9N4WWHrZpSy7VKkiBo2iy+5+Z/fsHg4zO7NLUZJ4fs/I Mztz5j3v+87u+zvnPe+Meuu3L1v/P6+99poJ+Gf+t9dek+8LBwiBIHvu/Byd ManLXMoSE+ExkQoZX+8W641rHWPUaDZZav+BZOoa6ZRVkhkftXrdrC3lg60h JuGh667nVjNkJjbd4ywfjhzbcP7iQFUiICAgIHiVkHfVO0dHL0tnDFd/XNGH q/g3bgrz84VFRVmnznAMrGRjDCSjxz6xmCFx3iFZtl/ickC6ZK/U6YtnS7Y/ c/6s23Zpt8V73aaOz8wdn+pbto4yqI2NG2qDCAgICAj+HIBTHn5GRrGhMV9H r0hXr1hnbKGuQaGlQ6G9U5TJTJ7ZFJneaNnoMd0GZl1rjos3X+7efEn8uafk k1OSlUfFi78RO30htl/5fOK8p2ZTmnXHNxlbVWVzh9osAgICAoI/ByANVVVU 5DpMKRs1pnS0fumYcTwDywIjh6IJixMcVrWNt5HTkL5Bt/7YR9OXi9yv1+7y urfLu/1rryfbLnR/7iledUQ8b7vYcUXn+Ol1uhZ1EycLCwuH2iwCAgICgj8B 0AIQ2C9Yv0E4ckyNvmmh8YSs2U6chUvTlq9JcFnDc5pR9t4M/rw5/IULeDMd M9Z9lrTVLWXLDs7Wr3O3uhVt3sn79Ev+2k2lLmvy5r+fY2JXZjO9qrh4qC0j ICAgIPijQ4RB/vGAR72OUaHlpIqzhxsCL9QHXq4N9q4L8mryP9d051xT4IWm oEtNARca75yvC79eG+Fbd9e3/q5vQ4TvvfDrjaE+94KuNgRfFvmdips8jZ+W wd51VXl5bkCgIENDMwICAgKCvyoA9VSroOShbw7UjbXJ/+KzxqCrLSHhTZFJ dbEZnRFRv4eGPQqP7IyK64yN74yL7wwP74iOackrbCkobs0taOXmt3FyHyRx QPv6oIi68IhSz3NRK9bnht2tEgjwHiv4/JykpOgTJyI/3cBdubru7Pnq0tIh sp7g1YUgNFTg4zPUWhAQvLpA0x9IQDUKyJlIKCxfuqbOYm7RQbfG8KC2pLzG tIKWhHTeuXPtsUlPsoseZxU+zsp/xC14lMF9lJjSmc7pKK1oLxO2lQjasoub knKqYzKqIlOrEzOrwuJDxtpfe2fMRSs7/wWLvZe5/DR/wS7HyTuNx/365lvh 7wxvWLuuLi1tqD1B8CoCcBDvtdfAxtfRAfsvqJcMMs0n+OsiIiLC1dX12LFj PB6vfxJwGgIEVKuAqKKi6OB3FaZzBDPW5Xnsro2+W59e0JKc2ZGUGjppcqrD NN4V7/a84of5JR25RR25hR0cLjjVEZ/Qnpp2PzWtOT6pNjqxKiy2PCymMjaJ Fxrx7bsjdg1745dhbx/4xz+//Pv/nvjXsKi33m4Zrts9fkLzZa/B9QkBQZ9Q sXFj+cqVciYaNqwqOXnQ5efl5Z09e3bQxRIQ/EEARlmBgYF79uzx8tI2mPMz OKnXrqVcv56flFReVARmPVUCQSWPV87llsbF8QKDC095Zi9akW04JcveJXOB a46He/XdoObY5N/iku9ncFPmL7ynY1ww0iB5xWp+cFhTblFrTmEzh9uSmtma kNwaGdUYGlIXHCgM8C+/daPI93pxSFDW7ZtfvPPumRHjfN/R8X9nROUYPamh kUxPr9vSuj787gv1DwGBlgBkBJiozNFx0CUTGiJ4FeDn5weYSMvGIj6//nYQ d8VHZ/QND41491drK087uyAb23Rru6yJtlwbB96kqeWWtgJzxxqrWS02Mwr3 bK2/49MWGduWlH4vIztunnOVgUW1qW2Fnmmq/vikbV/yI2JqOTm1yZy6+OS6 qJi64BBRQED5rZulfr55167mBfjzbt3Ot5xeZ+oonjhdamYvNZkg0x/XbTmh PibmhbpF4OMzWDn/qvx8ubQXlrQhGHKAeRDMzg36OhGhIYJXAWBO5Orq2tf8 c11ymuiLr/JMLTMMxsUYjeNaTOh0mCab5CiznCgzMpTpj5YZjJWNG5/n7iq6 ff1eVEJdQpowNSNyrnOpkWWpmS3PzK7c1DZ/jEnkRLuUI9/zoxOq4lMFEdGV AcEVN2+X+PkW+Hhnel3m3bnTGp0iXXdIsnibZOpKqe08qYmtxNT6XkiI9qoC FoAhAmxgHx3nDxumNnTAkS3awEd0Cgx38UEv5SOA8pJdu9CRyiNHUEegJTiF LoH7PNXbk4AaFH3o0nCxcjlmZnjX8ryQykCYKULKI6PAcRAzgQJgQ8wIdvg6 OmiNA16LhKMYW3n6NHIpaAPtApeUL1gAdYZaIT/TL4S9QK1AG+hAIAfYCCRA reiug5pQtIJqg66VvjUzg47quQoY6OMD+gI74CDdh7gyFFA0x/0DRIFNfit7 X4hucS85DI6ie4YJ7DQEfrkRERG91ODxduzYAY6jI3CcCY6Av2Afbwwkg+Og PUzLA1EeHh6uCoCdhIQE1MWvv/4KW1IyJyzC1Z6CCwGoTWBgIPgI/lLsojTT pke6KyjScOADb2AR9BiwEe8XmA+9ARqDffAX6QncBVwHrwLHQfCER6CLgBzQ HuyjxQ7cz3gX4MJjx45BlcAOCsJ085F1LB2xeADvCBiFOxyZCQAkI53BFw/I RzayZMyABNwK+LXRaAjlFOgOfKR8hbSEKC1d9MmGBxNtH9o6dE6Z0WUzWapn IBujIzMykppPlJnZZbtvLb95XRQZL4hNKk9MCXCal2ZokWlmw1Fsmea2mSZW EToGd2bNST3pWRoaURYUzPP1LfT25l65zLl0oTImqS456/mus5JPjkmct0om L5WZTW07ea5PSqLwjkd4nJvwOI/CNdjB9+HZftAQCqTgYE/MHDANocVxxDuU xkq+UwRtxA7gI+iazr9IMcgIqH2PFTBiq4RDw6EhUCCQIFQ3KaBcqKQShflw XynEzAxpRXEd1EpOKL3dBfrq4XeFXWBDCoB+oWKwjVofQquZMmm45koOGjZM LlNHB9Ec/XZQRjVMjqJ7hgkaaYgSw8EPGQYE/COIIaAZ+Iv/0mEEAx/BKRQe QeQJVADswJYo4oGD4AjORCzCmU5B3sEVUBvf8GZ069T2qJbOcGmBGFC4hhwE nYCirlDF5iCoIquRfHAKhGV0FZAAgjxkJXgEXIWPBCh+RqaBO4u6QFeBg2rN R72zdMTkAdgRZB8AyGKoJXAFOILMhF82aD4kengKXM7iW9wKXDiLIZRTSI7a XjRCJBLVnvR8OnWWxH6a2G6m2Hy6ZKy+TE9XamErnfQex8211Ne7IjyaFxFb Eh3nPXvOTT3jAGPLO9gWaGJ5W8/44sjRN5a5ZF64WOzrV3DFK/X8uTy/myVx KRXxaR37Lki2npKs2C+dtqZr6QZh78ptjUDhC//V49yEIgPiJkowR9G+rzSE ekFkAQLmoNAQOgsb95RsqRbKkTTUEYh7yo5UjSm0AjlLnkJUNaDwFFSbfhZ2 B3coYZ8S6nGTYaeAjCinqOarpk6UflF71BdMfiodrnACOAKjvVquofifAlxz 5cxFNaVCrI2bD52P98XuKHYSROgTDcHoAQe38AgMWagBDDVwnxIH6DMd1AUe HHAJLMKZTlGCMIj8au1ioiGWHjXSkNpTFIEwigpVY3VICugjlA+ZC51il0Pv HX0Et5WyGgI+wnvNEr1ZOmLyAL0jaAK9JfInaAAu0Vi6BhrAoQt+EE6c4bXa 0xAwBE5y+10vV1NT0xAdI35vocx8Sre9i3juFrGVg1RXR2ppn+a2pcDnSmnQ 3cKQiILwyDMzZv48Su+0vvGp3hs44qlv/PNw3eO6erfWr088eTL70qXcsOiC qITSmKR7Hhefu52RfHxEOuPj5tt9SMdBKH/vivhPCXrKpJAqPleePo0HMSEt edJnGqLNWQYrKYd6h2fxMIhsRNLoasCZCOJfJU8NG8ZkCN4AJzgmrZgk99gY GorP1yDUzrmQKIpWTCQCnYCSXXBmh5uGQHc4Dlxz+BVCk+KeSZ8qq6nMkSqm PD1jA1ZH0X2uFn2iIRhG0A8c5tvxgAlTHzD5g8cBekumLpAEFuEsp2CncELB MvRVSxzs5vSDhugCUUuW+AlYnn5HoNvV9shEQ/RMFwz+7L2zdMTkAXpHTAsx cKoFbdSmbg1OSClfG3hT4OVa0hCkM8j1THlFjaiurq6trW1MSeuetkhq94Fk +Tf3N53onDpfNtaQ47al9Oa1irsxpZExJVFx52fNPqVrcM5wvNrtvJHpWX2T X94aecnCMvG7wwXR8fyk9PL4tFqPC4/czkjXH5HM21yf3OdnKGBwoyymKJdO 0GRHwTtqIxse+vqRlFPS34IFMGQNIg3BnCGM0vBaFAahObBreDlaWFEu4igI F8VAOv9SKACnD7QPJFM2IX3m1Xt6ghslXxtSjQ2UzsEsQh+RKGHvCRQTDSHe AUaBLtAMV22JCIuHe5kcGopmeXTfImWA5tCTymkjq6Nw+WrvL4T2NASnQjCL whRLhQxxgJ62QpkrcBzP9gtV6X0W4RpPwaEvy7hXrQR2c/pBQ/SVC5hAU3sJ e0cwgAOB9FkAEw3R5WhDgiwdMXlA7XFKwEfrO8hGmKnDQR+lwPtI7xGNMbSk IXgjgEXgKqYJskZAGgJzoubgMKn1YsnSPR2up0p2nm6fPDvX3VUQ4Fcdm1QZ l1yekHzDaV6YoXmkmbWazdQ6wnhCtIVV1jLn9N2uCefPlscnizg51enZdR7n H7if7t70o2zu9par/n3SDUUhtAOPwzAiXxZX7MDB84ugIbhIzcNqHgaLhpRU oojSMPbK47lCCAzUyikPNgGEjIxvKHnF671iTqcAHpaYogjpkYanxWCVAk0y Pi3FV/DRpmZyiuaSmFZ06sQ9A3vBN7VVCihHCtkBMhe6cfiFeDkE2np8q1AM X0iCN5HFURT5TNCehuiJr77SEB1CBhrShmtYTtFlUvByaIh+vN80JMRKHXDv 0UUNkIZYOuorDaGDcLUIr5FQ+2WgC2FKq8JVNnZD8FOgPaIttdlCjRCJRDUq gP0n63ZIF2x/4npC4Ha26Kufcr/5QhToVx+fIkpKr0zJCJo3P8PQgmtum22m 2FQ7WSbW3PFWJU6zit03JZ79pTAyuja3qCY9q5bDrePkNHx74b7bSfHG49LF X4udNtRmq0kdMEGZrVIELjxhguI/mhYJBy8ph6JTL00U8wh8jX6ANIR0AztQ FM6V4KByXoBRiRBVj/v4KCeJlBo2VV9q5kdw/K9ITFHK8HpmHD4+TLxDqdnD c3HQFnAthXfoBQ94JZ583Ye5/AC5VO7z3ik1HPQRgnwapeIFiuZKmYr7SMko 4glSlKBjd5Sw90IhE7SkITQVEmI/cO2TcpTKLngWDnQp8QdKAO0HkpQDYUeb 2RA+FAeNB5iUw6XBS6DV/UjKsSSsgGQgFmarKDIpH/uXlGPpqH80BJ1ASYXR 6x7VjhxcFZMmeo+Q19gNwU+hry76dtFlsgO9QgHS0MN9x6VzPn/+2Y+NOz0L 913IOexeH3SjKTGtPjVTmJYZNde5zMCy3NS23NRG8de23MS63Hhi9RRHkeva TM/jKX5+uf53mnLym3MLmzNzmrLzmji5Tfs9H+4+I/74kGSJm8x+RdfSTTV5 BVqq1ysJphqyKlNYihiCNxisEgVY2QWPgFiKD9dhSKSklWDcQzFWOVNADMg8 WkbrIDgNoQkRZUlIrgler06pYeu9Yo56RykyPGbCs6g+nBJdlVUBZmZKpyku lPsEy7z1kC+WklJTaNebaNRWKSDJOPAjOPVTgN8CNEhAHEq5EJdJKSbEaQip LSdlVkeh7liYVEsaYqo96FOJAmXtGw50XWklCoiwBlKiwM5E9NkZDE3sJQrs BQ84oBC4JKF2xZ8lfjIt3+NHWPyMPmosUUDUQAnOTB31j4bU1sZTdENJM7oQ bWhIrSHID5AH0USsT69TgMDf5CN/m1yloOv9jyWz1ks+PvJw55nyPWdzj+1r DLvdnpjakp5dz8mOn+dcrW9RPd5GvplYVxtNqJ9o27h2SdEvHlkB/qVhEcVh d0uDQ1q4+fdzi9oz8zpyCjoyczu2He3c9pN4nYdk/hbptLUyc6dn81fXJado oyF9mAp++2hHiC3uw/ZaFmzDJ0eUz4Mo6njxbBXKfcHROAzmeME2bIxioLIS WCVN/tHMDAlheUUMsg6nISE2IcKDHqxwpmiCFnRQaTFavOjRR0cH5bgQK6G1 NiQN+RB9xC9U2qXqpWdZ6sgR+QM1K1fKdVA1BgEfTvHQ0zqwjFzIUIkntwtK UNRsCxVUqEy1oQemsFIHBDQDRXM3pUDFFJIyXQVdyO0FXwygmMo58JTa0Qvk LxZHoXU0egU4gjY0hE+FhL3jHlOFMyzTRXMEdBVcEYCn0HNDrqpC7sEt2GZZ IWJKo7EXbMMlCfqzJ0zShLSCbWis2ksoE09U/wwLtgGQHLzymcnPQk0F2zsU wAuzoaOYOhL2l4agOej+wpuO13jDXtRSvDZJOSZDmOgYTQm1B+XVpk3B4RLz Gd3TVkpWHOjaerLB3bPghwMtkYG/JSQ9SM9uzs5NmK+kIZHRxBozq6YlcysO 78i84cNPSL6XlnEvLr4kNLwoOLiVW9CWU3ifk9uRV/woq+Dxp/t+X7VL+sEe yexPpPbLpDaLZTYLxI7zqry8NWqI103BsTSMJHjQoER7cBZ/YkXt46t4ETge glBMQ2tP8mdFe69T9KSnsKE46hE+HYk+sj9XgsIdVAzFUjQhoozSKasb8qCN TVjwDfgKVSmgSI7P8oSKxB3uKDRrQwmrXnadPt3LLqzqTK1/8Ae7cOail89R 1rwQxeNLTiyvHqXogxKDeDEGquvAO8JNpnAZZdbD5Cg0BEIlEHT1tKEhGChQ PKeEULXPe8IjCCj6oZYocMFQP1iPr+K6wSVpcJa+9s1CHGrFwnkNCKFQT+2l CbGlFkhhrljBNt6MMqpHDxmBWA31R4pBaoC3g+5nbR5fhTcCPjPrij1KTPEA 3pFwAGtDoF9Y5A+LH5CNUDdKLzi0KVFgMgRPTuLfcHqmVCNwGqrl8Z/OXSIx myK2X/h8weautYfuu/5c9P3+1siAR3HxD1Mz7mflRM53Lh5rxjOxEs6eLnD7 jHv1XEF4pCghpTktozklpSk2tvJueEFQUHN6dktmXms6tz2n6GFWwf3/7nm8 dPvTmRu6HVaJrRdLzGdLLabLLGdKJ0xt3/xlDSeTST16YS0Kvzw886MqpcOv VfsyH41JOYqEHk1UKzKMqioa4OvjkMKY2kOggjeKRUIsXNMnAjDA4sJ71b9t 3Ag1wSuK4doNntPDzdRsF94Xg11QDt4F/sgqTJohTdRm4egaMjXGQbmJFOqh DwbotxId6aU83ck0R+GiKF8ABI00BDkIpwD2qNvXZkzBrX8YXN0Gt9NB7/fF yVSLftNQv6GxYJsFg+sWxEQPP/28e7zVM3OHbus5YkeXZ4u2ta7en394T1PY rYfR0Q/iE9tSUv3nOCVbTCj5fFXOmR/ygoOFsQn1iUnC2PjqmNjGmJjau3cr Q0Jy7vjfi0u6l8Spi0tv4uS1cwoebvjuscuurtmfPrVdKLZ4T2LuJB0/VWZs JzOeJH9SyXJK20cbqgODhBUVFN3QyBYdQUkh/CDLEjYFfaKhl4CelwaoFiPQ KWQ7ngViB+XRKnqt9csHvZxMbcwfCChrVWi9RllF0PsZ25cPjTQERpj4VEio 9Q+c5YU5lC4IDQ0EWvp54Hj5NKTx8VUWvAhXV2zcLB5rLDaxemxo0TbOttl8 Vp3DysIFm7MPudcGXGsJCWoJC2uMiAxZOC/tm23ZftfKgsOEkVGCiKiy8IjS sPDCkJDioKDSO3cKb91Mu36tKiRSEJtWGZVSk5zdmpLzdN13Txdu67JZJjZ9 76nt3IdrtzzYe7j1hGfLxSvNV661el7o2Pvtgx27m05Rf614il6lpzLm4JVa 9GZMUEtDlFK0lww8TUQZbOOntKESuEZPf6eExveevVAAAoLrWRSt2NOVfZJP yf7hXw+1dX0vExppyJX2Ji7tf+DalCQNIQ3Ra9sG0qk20l7QzAX3M1q+H3S8 fBoSanqZj8YLB64AhIjHa3XdLh6l1zVKr11Hv1HXQDTWtGb8ZJ7V/Jx5GzkH vxb4Xay+4Su6dav61i3Ozz8WXvctvu1f4u8vCAgUBAYW37qVfv168rVrYMu4 ejXzypXYC+dLfG/zwxL4QbG1iZltabnPluwQO6zsdNnUeupiTXYOoyqCKsoB EGHQ0rayiSLPQzkIV8O1CWsUGkIpIxCmhmrADF/dqXyjWu8JgnyJSnWqf+/3 1vK9Zy8ZUKvBcjhcBcM3+GgtPEt5WevLh0YaokyFhIM9/B4SGqK/jLR/L71k ksbk0peQQBsSGqK/mkDtwf6B5dWmLBhEVzf53nruOKtzlF7NOLOaibaVVrZC m0k8Q9N8HeNsI/u0mavjN3/Gu+lVfsOv3P92xR1/fsCdquBgUWxcbSa3Pr+o LqegIT2zNia+MiiIc8Mv9qpXrNeVqCuXMq/5VIbHC6OSH1TV1kXEPp+8+vfl m0T8skHReSCAMR9P36F6hiEcML840O39IwAuu7yc/zgDkdRQ/T8dQ/4fPQxi vBK+xAxV//AHV48dg3unXjQGxdWi4mKB5/nwj9cH7tmTHxhUmZMjKCkRlpYK i4srk5MLz5xNfn9VmPX84ElTOD//IORmN1VWtolEbXX1bU3N91va2lsVW3PL g8bmjsam+w2NrbUNzVXCmoqKSj6/qozfJqp+9OBhe01N8axlT0xmNt64Myi2 ExD8uTDkNERA8IdFVWlpEZdLP44qFspzc8Ns5/jpG9wwNoqYM6dw3cYS96NZ e49x9hzJ3Hck99BxsHEPHM13P8jf8U32VveUDV8lfOYWu37nTecl+6c6Rs9b kL9kdan17DaL6Y8MrOvDyH+0SvAqAtYGD7UWBAR/MiAmCpjl9Mub/z45YozA dq5k44nn+7ybvrsuOOIjOHpN+IOv6Mfrwh98ag9d/H37MeHGw/lr92Ws+zZ9 1cGi5bt8jO02vvF6pZFZnfGEJkPz+7oGNX43h9osAgICAoI/E8rS0o6OHO7x +ptn39HvmuwiWbZXsun0E7eLD/Z6tRz0bvDwrj10tcbjSsO+i+0bj7as+7Z6 xYHyNYf5y3bxnT6vmvxhpJ55/CjdyrGGVXpG9Tp6Fd8dHWqDCAgICAj+PBAI kn788cib7+7/v9dTdMdJHN6XzNkgWbZb8slPkq1nn3198fHuK527L993v/Rg 57nfPj32ePV3vy37pn353ntzNtZMcqk0nV5mZJU1Wi911Oji0XplI3XLFi0V VlEL4QgICAgICNSiSiDITUw8NFLH45+vPzOxlk6cKZm0WDJtjWzWZtnifdI1 30s2/Nq98WT3phPP133/fOWhrkV7njq5ds5c/8hycfPUJTV2s/ijDXOGj4ob PjJ+pA5nhG6OoXGFuqUoAgICAgICtcgIDV3/93+kDB8pNZkgHW8nM50msXPu ctny++aDzz50k87cIlm0W7LIXeK8s9tp29MpH/9us/ypyezWo7+IioqFYAsK Llm5OmXM2MC33ol8e0TcuyNzvTW/QY6AgICAgADiyv59B//1L5m+vsxgnNTM utP1q7pU5ZPLovKKhx4nZXYrpFP+K53yUbfd8qcWzl2G03775AuKEF5sbMJS lytv/Mf/P29HOi8ieTkCAgICAm1QJRBstbYSDB8p09Pres+pITqG3qbzKw+Z zWLpxLkSG+cnxtO6jB3r45PUSuNcunRGR/fCsDdq1ckhICAgICCgICs5+ei/ /y3T0ev48isRwzvuqotKxLOWyl+UbT7tmZH9o8WrhAIBk8Di5OTjxkZx06eT CREBAQEBgUb8vGVz24jRTZ7n2Js13wyQjbeXmTmKDa3aftXw/kwel/uzpYXo 0uXBU5OAgICA4C+IHA7n0tvD205d0Kbx74s/lBlNkBpb18TFa2zMz8uLcd1a nZM7YB0JCAgICP6yuPT1zta9h7Vs3HLJS2Zs02ntWFFYqE378sLCCkJDBAQE BAQMyMrI4B//Rfv2osrKbodZ9xcseXEqERAQEBC8OqgoLu5rFcGTlRu4HwzZ /25JQEBAQPBHw/8DCp03+A== "], {{0, 0}, {557, 41}}, {0, 255}, ColorFunction -> RGBColor], ImageSize -> {557, 41}, PlotRange -> {{0, 557}, {0, 41}}]], "DockedCell", Background -> GrayLevel[0.866682], CellFrame -> {{0, 0}, {0, 4}}, CellFrameColor -> RGBColor[0.690074, 0.12871, 0.194598], CellMargins -> {{0, 0}, {-3, 0}}, CellFrameMargins -> 0, ContextMenu -> None, ComponentwiseContextMenu -> {}], Cell[ BoxData[ GridBox[{{ GraphicsBox[ RasterBox[CompressedData[" 1:eJztWl1Ik1EYFrqNEoLMbHPmNkRrEhJERj93ra4cJvbDRIsyMk1pc03tTL1w aD+LfkQIJBkR/dBFdtHFDLywCykqoqgLIYRu6jbb8me933e+HT/P2fZN+sZ0 vg9n43zfec973nPe57zvOWNFDS2OhnU5OTlG+LyBj1S/ikAgEAgEAoFAIBAI xEpFMBh8jUgPYG0z7d7MAOYedm/Bko4Ca5tp92YGSCokle5AUiGpdAeSCkml O0RS/R1tjEajUIHvyIhdehPyLNZjrVSAgT5CK1Tmf32e+/qcdYEy+/4+vKTd oQJN89PjojbaHcrCzE8qn0RGfIxrEjcF0SomD49hYqDDUUSGKtUKWRMYz42L pFJDg1RPamGdlRWGuuDi2Yl+WHkoiy72W6jjgFeSm/wWKEAScCvtCxWpSzxt 1FPU9dJ76Lt8UnEmcVMQrWImUQE6nKJB7sgUKpb4LcpEtHiFpEpEKim2TI8n IhXv4pAHXCAJEAPIq7d5JFAOYYEGKHEstTbQAJKSx+XH5ZKKE+CmIFq1ZC/E SBVXoboJyMliKZKKgyapwLlK1ohHKgpYYfGRbnNpg4c8dP3prtckFQ0gUm5K miKpVZxnRZP4KcSziiU1bjhOobpJ2TtIqnhITipYZ7byydJfoDzMpT9ZWMo1 EHbgBBLyhOWzlmakUtKQnB/VuUYkFbWNjZXIJHEKnFVL0t+IXSQVU4iRKkUk JxVzhJI7hirpDpXOGzJ5eFLFvMNORxAlaJZhmtmZStQGAvSQA/FECSksH/kt VLMyokw5qHDOFU3ipiBaxZmtTSo8U2lBI1LF/BWNXZ0Y1LckLo9IqQdYIWdA 9T0uvPT2J2qjrUr2lGMRSzrq4eiIVIxFGC5bMZO4KYhWcWYnSn8gv3j7k+vJ GbVaSNXt9fo6O/XVib9Tpa+sClLdvtB0q+WSvjqRVGucVA/q6p9V1+irE0m1 xkk1cuLk2O49+upEUq1xUg1X14yZraSrS0ed+H+q9GFV/J+qx25/u9U40Nqa aUMQ2YMrFRWf8g0vDh9JvUvgYjPR+8KIyA5AyiNeb1Pe5ql840xxSV97eyq9 Hp1y3nE602waYoXC19GRqInIGHC57lY53Lm53/O2RQ3Fr6qqNXUG609/LLX1 ulOiHyL74D/XeLPxvPiexHDtsuulyexbv2GqwLRgNP8xl/W7XAQE1IUQ1nHw zNl5o2XYoc09RLbC5/E8te26V9+gfskY5SPkuss1abLc2Ljpm9E8Z7FFt++c POroJoQWn1wotQAPj9XMFZp/m6y9bndGpoNYCZBikbNuoqBwsPY4IxIrQJu+ trYf5pLRfOOXotJw6d7Zsv0LtkOPzzb1ENKjolagueVD5YGodUfEZH2372Cm p4X4X/wDFcRtOg== "], {{0, 0}, {199, 30}}, {0, 255}, ColorFunction -> RGBColor], ImageSize -> {199, 30}, PlotRange -> {{0, 199}, {0, 30}}], ButtonBox[ GraphicsBox[ RasterBox[CompressedData[" 1:eJztlDFuhFAMRJHS5w45Re6RI+wFcoOUtNtR0lJSUlNSUtNS0m9JXjTKaPQh UfpgCeT1n2+Px15ebu9vt6eqqp55Xnm+/I/L/p+1bbtt277vvJumIcKbnwWs 73vBsHVdE1bXNQ55Ho8HMOEd3L9tWRZ+6tRBrrjEMAwigHO/37M6SII40zRB Q7QLkpQWjKOu63RqGHHVIoOYYAR16oucinYGxUo2jqMIzPNMnpQRPF2nMkeS cCBDXsm7ZNZp6oZRS3wsIBFNIYM2iY8gYmJA8imqawHcOAKqio4KSp4O7Qjp K1nOUygasaG2hoKSaud3krkArggZzyhhTohP3Uz7E0mNu9g98oj26exOSTon fRUtn8IUJL+W80gyuz6OW3mgrSXXEv5dSaRTaRz9KQpY/knxtVomKdFQxvFT JZFR6pFBJWT5tbEvR9+H3F6S+GOSMC+DTHtrHYyh32Qu855cdhn2CUundjY= "], {{0, 0}, {55, 14}}, {0, 255}, ColorFunction -> RGBColor], ImageSize -> {55, 14}, PlotRange -> {{0, 55}, {0, 14}}], ButtonData -> { URL["http://store.wolfram.com/view/app/playerpro/"], None}, ButtonNote -> "http://store.wolfram.com/view/app/playerpro/"], GraphicsBox[ RasterBox[{{{132, 132, 132}, {156, 155, 155}}, {{138, 137, 137}, { 171, 169, 169}}, {{138, 137, 137}, {171, 169, 169}}, {{138, 137, 137}, {171, 169, 169}}, {{138, 137, 137}, {171, 169, 169}}, {{138, 137, 137}, {171, 169, 169}}, {{138, 137, 137}, {171, 169, 169}}, {{ 138, 137, 137}, {171, 169, 169}}, {{138, 137, 137}, {171, 169, 169}}, {{138, 137, 137}, {171, 169, 169}}, {{138, 137, 137}, {171, 169, 169}}, {{138, 137, 137}, {171, 169, 169}}, {{138, 137, 137}, { 171, 169, 169}}, {{135, 135, 135}, {167, 166, 166}}}, {{0, 0}, {2, 14}}, {0, 255}, ColorFunction -> RGBColor], ImageSize -> {2, 14}, PlotRange -> {{0, 2}, {0, 14}}], ButtonBox[ GraphicsBox[ RasterBox[CompressedData[" 1:eJztlSGSg2AMhTuzfu+wB1qzR+gF9gbIWhwSW4lEV1ZWYyvxSPZb3vAmDdDq zpCZdvKH5CUvfwhfx9+f48fhcPjk983vXy922eU9paqqcRx9HGcZhiE+PZ1O KHVd24KOgt0WFKLQ27ZdJrper0JGcS5CVqs6n89yRpGl73tZBK6kkvv97kCe ChOlLEvbVW2kiYPoxKcYRdwWld00jS2EcFSFMYXCqbOcBJzL5aJcxK7SFEFB GQFn8AWupPUkMRfIJEK53W5d1z2hGVP7yohVbfanWoxAJQTfeywbT1+xK9mi GQGTj8FT0uRAN3Tdjl3SlNANP5WoabIIRP+x52ojLEgXs8fxs7+R1cCXNFH6 SVJhKZwx0+BxBZ7nraGNpBSrEFlA1khgRDcCRg1navIWTeVKPVmliaeaL+c4 tCmcknRHfjtWaS6HNtYmC1wYjGJ+6eKjJcficWgVssz1nGbabFtD682gZaIO MHXqkq/vyW3GFaQXliNuOhbz9lOHU3a6SrhWkCmnXC9pUoPBt1aQpquYrtJt 0f6Pazkd497W1MkSlxierkrrN254iz8oHqS0ByzxGzfOHx2yq9plYSl8l13e Xf4ArlmHrg== "], {{0, 0}, {77, 14}}, {0, 255}, ColorFunction -> RGBColor], ImageSize -> {77, 14}, PlotRange -> {{0, 77}, {0, 14}}], ButtonData -> { URL[ "http://www.wolfram.com/solutions/interactivedeployment/\ licensingterms.html"], None}, ButtonNote -> "http://www.wolfram.com/solutions/interactivedeployment/\ licensingterms.html"]}}, ColumnsEqual -> False, GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}}]], "DockedCell", Background -> GrayLevel[0.494118], CellFrame -> {{0, 0}, {4, 0}}, CellFrameColor -> RGBColor[0.690074, 0.12871, 0.194598], CellMargins -> 0, CellFrameMargins -> {{0, 0}, {0, -1}}, ContextMenu -> None, ComponentwiseContextMenu -> {}, ButtonBoxOptions -> {ButtonFunction :> (FrontEndExecute[{ NotebookLocate[#2]}]& ), Appearance -> None, ButtonFrame -> None, Evaluator -> None, Method -> "Queued"}]}, FEPrivate`If[ FEPrivate`SameQ[ FrontEnd`CurrentValue[ FrontEnd`EvaluationNotebook[], ScreenStyleEnvironment], "SlideShow"], { Inherited}, {}]], Inherited], Magnification->1.600000262260437, FrontEndVersion->"7.0 for Microsoft Windows (32-bit) (November 10, 2008)", StyleDefinitions->"Default.nb" ] (* End of Notebook Content *) (* Internal cache information *) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[545, 20, 382, 5, 110, "Input"], Cell[930, 27, 416, 6, 86, "Input"], Cell[1349, 35, 1428, 21, 316, "Text"], Cell[CellGroupData[{ Cell[2802, 60, 8733, 230, 747, "Input"], Cell[11538, 292, 5266, 98, 1038, "Output"] }, {2}]] } ] *) (* End of internal cache information *) (* NotebookSignature Gx0eUrUKmb5xWCKnnb#531Dp *)