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This will also ask whether you want to run, initialization cells. \ Answer yes to this question." }], "MathCaption", CellMargins->{{107, Inherited}, {Inherited, Inherited}}], Cell[CellGroupData[{ Cell[BoxData[ \($Version\)], "Input", CellLabel->"In[35]:=", CellMargins->{{107, Inherited}, {Inherited, Inherited}}], Cell[BoxData[ \("5.2 for Microsoft Windows (June 5, 2005)"\)], "Output", CellLabel->"Out[35]="] }, Open ]], Cell[CellGroupData[{ Cell["Using This Demo", "SubsectionIcon", CellMargins->{{107, Inherited}, {Inherited, Inherited}}], Cell[TextData[{ "If you are not familiar with ", StyleBox["Mathematica,", FontSlant->"Italic"], " this section provides a short introduction to help get you started. ", StyleBox["Mathematica", FontSlant->"Italic"], " provides a unique interface allowing you to combine presentation and \ calculations all in one document, called a notebook." }], "Text", CellMargins->{{107, Inherited}, {Inherited, Inherited}}], Cell[TextData[{ "The document you are reading is a ", StyleBox["Mathematica", FontSlant->"Italic"], " notebook and is formatted as a slideshow-style presentation, complete \ with navigation buttons at the top of each page. Some sections can be \ expanded by clicking on the small triangle preceding them, such as this \ section. Calculations are performed in cells with a yellow background. You \ will see more of these in the following slides. " }], "Text", CellMargins->{{107, Inherited}, {Inherited, Inherited}}], Cell["\<\ Most of the cells here are \"initialization cells\" that will automatically \ evaluate themselves as soon as any calculation is started. This guarantees \ that all of the necessary definitions are loaded. You will be asked to \ evaluate the necessary cells when the time comes. This is done by placing \ the cursor in the appropriate cell and then typing \[ShiftKey]+\[EnterKey].\ \>", "Text", CellMargins->{{106, Inherited}, {Inherited, Inherited}}] }, Closed]], Cell[CellGroupData[{ Cell["More Information ... ", "SubsectionIcon", CellMargins->{{106, Inherited}, {Inherited, Inherited}}], Cell["\<\ This section defines a few utilities that will make the demo self-contained \ in the presentation notebook. This section is not essential reading for \ following the demo, but contains initialization code necessary to make the \ demo work. \ \>", "Text", CellMargins->{{106, Inherited}, {Inherited, Inherited}}], Cell[CellGroupData[{ Cell["Define Vincenty Distance Function (Distances on Earth)", \ "SubsubsectionIcon", CellMargins->{{106, Inherited}, {Inherited, Inherited}}], Cell["\<\ This provides utilities to compute distances on the earth, given latitude and \ longitude information. \ \>", "MathCaption", CellMargins->{{106, Inherited}, {Inherited, Inherited}}], Cell[BoxData[ \(Needs["\"]\)], "Input", CellLabel->"In[1]:=", CellMargins->{{106, Inherited}, {Inherited, Inherited}}, InitializationCell->True], Cell[BoxData[ \(Off[General::spell]; \ Off[General::spell1];\)], "Input", CellLabel->"In[2]:=", CellMargins->{{106, Inherited}, {Inherited, Inherited}}, InitializationCell->True], Cell["\<\ BeginPackage[\"Vincenty`\"]; VincentyDistance::usage=\"VincentyDistance[{lat1, lon1},{lat2, lon2}] \ computes the distance between two points with the given latitudes and \ longitudes.\"; Begin[\"`Private`\"]; SetAttributes[ArcTanOrAngle, Listable]; ArcTanOrAngle[tan_, \\[Phi]_] := If[Abs[\\[Phi]] < \\[Pi]/2, ArcTan[tan], \\[Phi]]; VincentyDistanceS[{\\[Phi]1_, \\[Theta]1_},{\\[Phi]1_, \\[Theta]1_}] := {0., {0.,0.}}; VincentyDistanceS[{\\[Phi]1_, \\[Theta]1_}, {\\[Phi]2_, \\[Theta]2_}] := Module[{a0, flat, r, b0, tanu1, tanu2, dtmp, cosu1, sinu1, cosu2, sinu2, \\[Omega], cs, ss, cosalpha2, c2sm, u2, a, b, dsigma, s, \ alpha12, alpha21}, a0 = 6378137.00; flat = 1./298.257223563; r = 1. - flat; b0 = a0*r; tanu1 = r*Tan[\\[Phi]1]; tanu2 = r*Tan[\\[Phi]2]; dtmp = ArcTanOrAngle[tanu1, \\[Phi]1]; cosu1 = Cos[dtmp]; sinu1 = Sin[dtmp]; dtmp = ArcTanOrAngle[tanu2, \\[Phi]2]; cosu2 = Cos[dtmp]; sinu2 = Sin[dtmp]; \\[Omega] = \\[Theta]2 - \\[Theta]1; itfun[\\[Lambda]_] := Module[{ss1, ss2, tansigma, sinalpha, c}, ss1 = cosu2*Sin[\\[Lambda]]; ss2 = cosu1*sinu2 - sinu1*cosu2*Cos[\\[Lambda]]; ss = Sqrt[ss1*ss1 + ss2*ss2]; cs = sinu1*sinu2 + cosu1*cosu2*Cos[\\[Lambda]]; tansigma = ss/cs; sinalpha = cosu1*cosu2*Sin[\\[Lambda]]/ss; cosalpha2 = Cos[ArcSin[sinalpha]]^2; c2sm = cs - 2.*sinu1*sinu2/cosalpha2; c = flat/16.*cosalpha2*(4. + flat*(4. - 3.*cosalpha2)); \\[Omega] + (1. - c)*flat* sinalpha*(ArcSin[ss] + c*ss*(c2sm + c*cs*(-1. + 2.*c2sm*c2sm)))]; \\[Lambda] = FixedPoint[itfun, \\[Omega]]; u2 = cosalpha2*(a0*a0 - b0*b0)/(b0*b0); a = 1. + (u2/16384.)*(4096. + u2*(-768. + u2*(320. - 175.*u2))); b = (u2/1024.)*(256. + u2*(-128. + u2*(74. - 47.*u2))); dsigma = b*ss*(c2sm + (b/ 4.)*(cs*(-1. + 2.*c2sm*c2sm) - (b/6.)* c2sm*(-3. + 4.*ss*ss)*(-3. + 4.*c2sm*c2sm))); s = b0*a*(ArcSin[ss] - dsigma); alpha12 = ArcTan[cosu1*sinu2 - sinu1*cosu2*Cos[\\[Lambda]], \ cosu2*Sin[\\[Lambda]]]; alpha21 = ArcTan[-sinu1*cosu2 + cosu1*sinu2*Cos[\\[Lambda]], cosu1*Sin[\\[Lambda]]]; {s, {alpha12, alpha21}} ]; ToRadians[deg_] := \\[Pi] deg/180; ToDegrees[rad_] := 180 rad/\\[Pi]; VincentyDistance[{Lat1_, Long1_},{Lat2_, Long2_}] := Module[{s, az}, {s, az} = VincentyDistanceS[ToRadians[{Lat1, Long1}], ToRadians[{Lat2, Long2}]]; {s, Mod[ToDegrees[az] + 180 {2,1},360]}]; End[]; EndPackage[];\ \>", "Input", CellLabel->"In[3]:=", PageWidth->Infinity, CellMargins->{{106, Inherited}, {Inherited, Inherited}}, InitializationCell->True, ShowSpecialCharacters->False] }, Closed]], Cell[CellGroupData[{ Cell["Setup Defaults for Simulation", "SubsubsectionIcon", CellMargins->{{106, Inherited}, {Inherited, Inherited}}], Cell[TextData[{ StyleBox["GridSpacing ", FontFamily->"Courier"], "will allow us to explain the actual spacing on the earth. " }], "MathCaption", CellMargins->{{106, Inherited}, {Inherited, Inherited}}], Cell[BoxData[ \(GridSpacing[nx_, \ ny_] := \ Module[{\[CapitalDelta]\[Lambda]\ = \ \((\[Lambda]\_max - \ \[Lambda]\_min)\)/n, \[Lambda]m = \((\[Lambda]\_max + \[Lambda]\_min)\)/ 2. , \[IndentingNewLine]\[CapitalDelta]\[Phi]\ = \ \ \((\[Phi]\_max - \[Phi]\_min)\)/n, \[Phi]m = \((\[Phi]\_max + \[Phi]\_min)\)/ 2. }, \[IndentingNewLine]{"\" -> First[VincentyDistance[{\[Lambda]m, \[Phi]m}, {\[Lambda]m + \ \[CapitalDelta]\[Lambda], \[Phi]m}]]\ "\", \ \[IndentingNewLine]"\" -> First[VincentyDistance[{\[Lambda]m, \[Phi]m}, {\[Lambda]m, \ \[Phi]m + \[CapitalDelta]\[Phi]}]]\ "\"}]\)], "Input", CellLabel->"In[15]:=", CellMargins->{{106, Inherited}, {Inherited, Inherited}}, InitializationCell->True], Cell["\<\ This is the grid spacing we have chosen for the low resolution simulation. \ \>", "MathCaption", CellMargins->{{106, Inherited}, {Inherited, Inherited}}], Cell[BoxData[{ \(\(n\ = \ 5*16;\)\), "\[IndentingNewLine]", \(nx\ = \ n\ + \ 1; ny\ = n\ + \ 1; \ nxy\ = \ \((nx\ - \ 1)\)*\((ny - 1)\);\)}], "Input", CellLabel->"In[16]:=", CellMargins->{{106, Inherited}, {Inherited, Inherited}}, InitializationCell->True], Cell[TextData[{ "These are options for the ", StyleBox["NDSolve", FontFamily->"Courier"], " function used later." }], "MathCaption", CellMargins->{{106, Inherited}, {Inherited, Inherited}}], Cell[BoxData[ \(\(methodOptions\ := \ Sequence[\ \ DependentVariables \[Rule] {h, u, v}, \ Method \[Rule] {"\", "\" \ \[Rule] \[IndentingNewLine]{"\", \ "\" \ \[Rule] {nx, ny}, \ "\" \[Rule] {nx, ny}, \ "\" \[Rule] \ "\"}, \[IndentingNewLine]"\" \ \[Rule] True, \[IndentingNewLine]"\" \[Rule] {"\", \ Method \[Rule] "\", \ "\" \[Rule] Sin[\[Pi]\ t/\[CapitalDelta]t], \ "\" \ \[RuleDelayed] action}}, \ Jacobian\ \[Rule] \ None\ ];\)\)], "Input", CellLabel->"In[18]:=", CellMargins->{{106, Inherited}, {Inherited, Inherited}}, InitializationCell->True] }, Closed]] }, Closed]] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[TextData[Cell[BoxData[GridBox[{ { ButtonBox[ StyleBox["\[FirstPage]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPageFirst"]}], ButtonStyle->"SlideHyperlink", ButtonNote->"First Slide"], ButtonBox[ StyleBox["\[LeftPointer]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPagePrevious"]}], ButtonStyle->"SlideHyperlink", ButtonNote->"Previous Slide"], ButtonBox[ StyleBox["\[RightPointer]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPageNext"]}], ButtonStyle->"SlideHyperlink", ButtonNote->"Next Slide"], ButtonBox[ StyleBox["\[LastPage]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPageLast"]}], ButtonStyle->"SlideHyperlink", ButtonNote->"Last Slide"], " ", ButtonBox[ StyleBox[ RowBox[{ CounterBox["SlideShowNavigationBar"], \(\(\ \)\(of\)\(\ \)\), CounterBox["SlideShowNavigationBar", {None, "SlideShowHeader", -1}]}], "SR"], ButtonFrame->"None"]} }]]]], "SlideShowNavigationBar", CellTags->"SlideShowHeader"], Cell[CellGroupData[{ Cell["Modeling, Simulating, and Analyzing a Tsunami", "Section", CellFrameMargins->{{37, 0}, {4, 4}}, CellFrameLabelMargins->2, FontSize->14, FontColor->RGBColor[0.847456, 0.85539, 0.946517], Background->RGBColor[0.313726, 0.34902, 0.764706]], Cell[CellGroupData[{ Cell["\<\ Building a Model \[Dash] Partial Differential Equation\ \>", "Subsection", CellMargins->{{36, Inherited}, {Inherited, Inherited}}, FontSize->24], Cell[TextData[{ "These are the shallow water equations (SWE) used to model the wave \ propagation. Shallow means that the ocean is wider than it is deep. In ", StyleBox["Mathematica", FontSlant->"Italic"], " you simply type in the equations. " }], "MathCaption"], Cell[BoxData[ \(\(swe = {\[PartialD]\_t h[\[Lambda], \ \[Phi], \ t] + \(1\/\(R\ Cos[\[Phi]]\)\) \ \((\[PartialD]\_\[Lambda]\((u[\[Lambda], \ \[Phi], \ t]\ \ \((h[\[Lambda], \ \[Phi], \ t]\ \ \ - \ b[\[Lambda], \ \[Phi]]\ )\))\) + \[PartialD]\_\ \[Phi]\((v[\[Lambda], \ \[Phi], \ t]\ \ \((h[\[Lambda], \ \[Phi], \ t]\ \ \ - \ b[\[Lambda], \ \[Phi]]\ )\) Cos[\[Phi]])\))\) \[Equal] 0, \(\(\[PartialD]\_\[Phi] u[\[Lambda], \ \[Phi], \ \ t]\)\(\ \ \)\(v[\[Lambda], \ \[Phi], \ t]\)\(\ \)\)\/R + \(g\ \(\(\[PartialD]\ \_\[Lambda] h[\[Lambda], \ \[Phi], \ t]\)\(\ \)\)\)\/\(R\ Cos[\[Phi]]\) + \ \[PartialD]\_t u[\[Lambda], \ \[Phi], \ t] + \(u[\[Lambda], \ \[Phi], \ t]\ \ \(\(\[PartialD]\_\ \[Lambda] u[\[Lambda], \ \[Phi], \ t]\)\(\ \)\)\)\/\(R\ Cos[\[Phi]]\) \ \[Equal] f\ v[\[Lambda], \ \[Phi], \ t]\ , \(\(\[PartialD]\_\[Phi] v[\[Lambda], \ \[Phi], \ t]\)\(\ \ \ \)\(v[\[Lambda], \ \[Phi], \ t]\)\(\ \)\)\/R + \(g\ \(\(\[PartialD]\_\ \[Phi] h[\[Lambda], \ \[Phi], \ t]\)\(\ \)\)\)\/R + \[PartialD]\_t v[\[Lambda], \ \[Phi], \ t]\ + \(u[\[Lambda], \ \[Phi], \ t]\ \ \(\(\[PartialD]\_\ \[Lambda] v[\[Lambda], \ \[Phi], \ t]\)\(\ \)\)\)\/\(R\ Cos[\[Phi]]\) \ \[Equal] \(-f\)\ u[\[Lambda], \ \[Phi], \ t]\ };\)\)], "Input", CellLabel->"In[36]:=", InitializationCell->True], Cell["\<\ These are the parameters we will use in our model. All units are in MKS \ (meter-kilogram-second). \ \>", "MathCaption"], Cell[BoxData[ \(\(\(\(R\ = \ 6378000;\)\ (*\ Radius\ of\ the\ earth\ *) \[IndentingNewLine] \(\[Omega]\ = \ 2\ \[Pi]/\((24\ 3600)\);\)\ (*\ Angular\ velocity\ of\ earths\ rotation\ *) \[IndentingNewLine] \(f = \ 2 \[Omega]\ Sin[\[Phi]];\)\ (*\ Coriolis\ force\ *) \[IndentingNewLine] \(g\ = \ 9.8;\)\)\(\ \)\( (*\ Gravitational\ accelaration\ *) \)\)\)], "Input", CellLabel->"In[37]:=", InitializationCell->True], Cell["\<\ These parameters define the range over which we will simulate the model. \ Basically we want to simulate for two hours are reasonable, but finite, \ section of the ocean. \ \>", "MathCaption"], Cell[BoxData[ \(\(\(\(T\ = \ 2\ 3600\) \)\(;\)\( (*\ \(Time\ --\)\ two\ hours\ in\ seconds\ \ *) \)\(\[IndentingNewLine]\)\(\(\(\[Lambda]\_min\ = \(-15\)\ \[Degree]\)\(\ \ \)\) \)\(;\)\(\ \)\(\(\[Lambda]\_max = \ 15\ \[Degree]\) \)\(;\)\(\ \)\( (*\ min\ and\ max\ longitude\ *) \)\(\[IndentingNewLine]\)\(\(\[Phi]\_min = \ \ \(-35\)\ \[Degree]\) \)\(;\)\(\(\[Phi]\_max = \ 5\ \[Degree]\) \)\(;\)\(\ \)\( (*\ min\ and\ max\ latitude\ *) \)\(\[IndentingNewLine]\)\)\)], "Input", CellLabel->"In[41]:=", InitializationCell->True] }, Open ]], Cell[CellGroupData[{ Cell["More Information ... ", "SubsectionIcon"], Cell["The SWE model makes the following assumptions:", "Text"], Cell["Hydrostatic pressure distribution", "BulletedList"], Cell["Incompressible, homogeneous fluid", "BulletedList"], Cell["Well-mixed-in-depth flows: uniform vertical mixing", "BulletedList"], Cell["Small vertical scale relative to horizontal", "BulletedList"], Cell["\<\ The last assumption is certainly violated when a tsunami nears land. The \ U.S. National Oceanic and Atmospheric Administration (NOAA) uses a model they \ refer to as MOST (Method of Splitting Tsunami) that uses different \ computations and models for three phases; generation, propagation, and \ inundation. Note: This is a simplified simulation of the propagation phase. \ The NOAA tsunami modeling code may take several hours to run a realistic \ model of a tsunami. \ \>", "Text"], Cell["\<\ Note: This demonstration is based on a general partial differential equation \ solver that is good for prototyping models but can never compete directly \ with a specialized code such as the one that NOAA uses.\ \>", "Text"] }, Closed]] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[TextData[Cell[BoxData[GridBox[{ { ButtonBox[ StyleBox["\[FirstPage]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPageFirst"]}], ButtonStyle->"SlideHyperlink", ButtonNote->"First Slide"], ButtonBox[ StyleBox["\[LeftPointer]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPagePrevious"]}], ButtonStyle->"SlideHyperlink", ButtonNote->"Previous Slide"], ButtonBox[ StyleBox["\[RightPointer]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPageNext"]}], ButtonStyle->"SlideHyperlink", ButtonNote->"Next Slide"], ButtonBox[ StyleBox["\[LastPage]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPageLast"]}], ButtonStyle->"SlideHyperlink", ButtonNote->"Last Slide"], " ", ButtonBox[ StyleBox[ RowBox[{ CounterBox["SlideShowNavigationBar"], \(\(\ \)\(of\)\(\ \)\), CounterBox["SlideShowNavigationBar", {None, "SlideShowHeader", -1}]}], "SR"], ButtonFrame->"None"]} }]]]], "SlideShowNavigationBar", CellTags->"SlideShowHeader"], Cell[CellGroupData[{ Cell["Modeling, Simulating, and Analyzing a Tsunami", "Section", CellFrameMargins->{{37, 0}, {4, 4}}, CellFrameLabelMargins->2, FontSize->14, FontColor->RGBColor[0.847456, 0.85539, 0.946517], Background->RGBColor[0.313726, 0.34902, 0.764706]], Cell[CellGroupData[{ Cell["\<\ Building the Model \[Dash] Initial Value\ \>", "Subsection", CellMargins->{{36, Inherited}, {Inherited, Inherited}}, FontSize->24], Cell["\<\ This function computes the shortest distance to a fault line. \ \>", "MathCaption"], Cell[BoxData[ \(\(ldist[p1_, \ p2_]\)[ p_?\((VectorQ[#, \ NumberQ] &)\)]\ := \[IndentingNewLine]If[ p1\ \[Equal] \ p2, \ Norm[p\ - \ p1], \[IndentingNewLine]\ Module[{pp1\ = \ p\ - \ p1, pp2\ = \ p\ - \ p2, \ p12\ = \ \((p1\ - \ p2)\)/ Norm[p1\ - \ p2]}, \[IndentingNewLine]If[ Sign[p12 . pp1]\ != \ Sign[p12 . pp2], \ Norm[pp1\ - \ pp1 . p12\ p12], \ Min[Norm[pp1], \ Norm[pp2]]]]\[IndentingNewLine]]\)], "Input", CellLabel->"In[42]:=", InitializationCell->True], Cell["\<\ This defines the initial displacement, centered at 0\[Degree] longitude and \ going from 10\[Degree] to 20\[Degree] south latitude.\ \>", "MathCaption"], Cell[BoxData[ \(\(\(\ \)\(\[Lambda]\_e\ = \ 0; \[Phi]\_1 = \ \(-10\)\ \[Degree]; \[Phi]\_2 = \ \(-20\)\ \[Degree];\ \[IndentingNewLine] \(h0[\[Lambda]_, \ \[Phi]_]\ = \ Exp[\(-10000\)\ \(ldist[{\[Lambda]\_e, \ \[Phi]\_1}, \ {\[Lambda]\_e, \ \ \[Phi]\_2}]\)[{\[Lambda], \ \[Phi]}]^2];\)\)\)\)], "Input", CellLabel->"In[43]:=", InitializationCell->True], Cell["\<\ Here is a plot of the initial displacement. 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", "SubsectionIcon"], Cell["\<\ Note: The vertical scale is 1 meter, whereas, if converted to distance, the \ horizontal scale is thousands of kilometers. One fascinating thing about a \ tsunami is that in the open ocean, the amplitude of the wave may be quite \ small (1 meter is not a big wave). Its destructive power is because its \ energy is distributed all the way from the top to the bottom of the ocean, \ unlike wind driven waves that have nearly all their energy very near the \ water surface.\ \>", "Text"] }, Closed]] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[TextData[Cell[BoxData[GridBox[{ { ButtonBox[ StyleBox["\[FirstPage]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPageFirst"]}], ButtonStyle->"SlideHyperlink", ButtonNote->"First Slide"], ButtonBox[ StyleBox["\[LeftPointer]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPagePrevious"]}], ButtonStyle->"SlideHyperlink", ButtonNote->"Previous Slide"], ButtonBox[ StyleBox["\[RightPointer]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPageNext"]}], ButtonStyle->"SlideHyperlink", ButtonNote->"Next Slide"], ButtonBox[ StyleBox["\[LastPage]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPageLast"]}], ButtonStyle->"SlideHyperlink"], " ", ButtonBox[ StyleBox[ RowBox[{ CounterBox["SlideShowNavigationBar"], \(\(\ \)\(of\)\(\ \)\), CounterBox["SlideShowNavigationBar", {None, "SlideShowHeader", -1}]}], "SR"], ButtonFrame->"None"]} }]]]], "SlideShowNavigationBar", CellTags->"SlideShowHeader"], Cell[CellGroupData[{ Cell["Modeling, Simulating, and Analyzing a Tsunami", "Section", CellFrameMargins->{{37, 0}, {4, 4}}, CellFrameLabelMargins->2, FontSize->14, FontColor->RGBColor[0.847456, 0.85539, 0.946517], Background->RGBColor[0.313726, 0.34902, 0.764706]], Cell[CellGroupData[{ Cell["\<\ Building the Model \[Dash] Ocean Floor\ \>", "Subsection", CellMargins->{{36, Inherited}, {Inherited, Inherited}}, FontSize->24], Cell["This defines a function to simulate an undersea mountain.", \ "MathCaption"], Cell[BoxData[ \(\(\(Seamount[s_, \ w_, \ {\[Lambda]_, \ \[Phi]_}]\)[l_, \ p_]\ := \ s\ Exp[\(-w\)\ \((\((l - \[Lambda])\)^2\ + \ \((p - \[Phi])\)^2)\)];\ \)\)], "Input", CellLabel->"In[46]:=", InitializationCell->True], Cell["\<\ This defines the bottom depth to be 4000 meters (about the average depth of \ the Indian Ocean) with some seamounts scattered within the range of the \ simulation parameters.\ \>", "MathCaption"], Cell[BoxData[ \(\(b[\[Lambda]_, \ \[Phi]_]\ := \ \(-4000\)\ + \ \(Seamount[3500, \ 1000, \ {\(-2.5\)\ \[Degree], \ \(-25\)\ \ \[Degree]}]\)[\[Lambda], \ \[Phi]] + \ \(Seamount[3000, \ 1000, \ {\(-5\)\ \[Degree], \ \(-23\)\ \[Degree]}]\)[\[Lambda], \ \ \[Phi]]\ + \ \ \(Seamount[3000, \ 1000, \ {\(-7.5\)\ \[Degree], \ \(-27\)\ \ \[Degree]}]\)[\[Lambda], \ \[Phi]] + \ \ \(Seamount[3000, \ 1000, \ {5 \[Degree], \ \(-24\) \[Degree]}]\)[\[Lambda], \ \ \[Phi]] + \(Seamount[3000, \ 1000, \ {5 \[Degree], \ \(-21\) \[Degree]}]\)[\[Lambda], \ \ \[Phi]] + \(Seamount[3000, \ 1000, \ {5 \[Degree], \ \(-18\) \[Degree]}]\)[\[Lambda], \ \ \[Phi]] + \(Seamount[3000, \ 1000, \ {5 \[Degree], \ \(-15\) \[Degree]}]\)[\[Lambda], \ \ \[Phi]] + \(Seamount[3000, \ 1000, \ {5 \[Degree], \ \(-12\) \[Degree]}]\)[\[Lambda], \ \ \[Phi]];\)\)], "Input", CellLabel->"In[47]:=", InitializationCell->True], Cell["Here is a plot of the bottom structure.", "MathCaption"], Cell[CellGroupData[{ Cell[BoxData[ \(\(Plot3D[ b[\[Lambda], \ \[Phi]], \ \ {\[Lambda], \ \[Lambda]\_min, \ \[Lambda]\ \_max}, {\[Phi], \ \[Phi]\_min, \ \[Phi]\_max}, \ PlotRange \[Rule] All, \ PlotPoints \[Rule] 200, \ Mesh \[Rule] False]\ ;\)\)], "Input", CellLabel->"In[48]:="], Cell[GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg0?ooc000a03ool`30000 0080ooo<1P2Y_NP010000000ooo<0?ooc000001=0?ooc000`@3ool`30000 0080ooo<2@2Y_NP010000000ZKgX0?ooc000001=0?ooc000_`3ool`20000 00@0ooo<2P2Y_NP01@000000ZKgX0:Vmj03ool`0000004`0ooo<002l0?oo c0<000000`3ool`=0:Vmj0060000002Y_NP0ZKgX0:Vmj03ool`00000B`3o ol`00;X0ooo<0P0000030?ooc140ZKgX00D000000:Vmj02Y_NP0ooo<0000 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The codes that NOAA uses \ take into account the actual sea bottom structure, but for this \ demonstration, a simulated bottom structure will be considered.\ \>", "Text"] }, Closed]] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[TextData[Cell[BoxData[GridBox[{ { ButtonBox[ StyleBox["\[FirstPage]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPageFirst"]}], ButtonStyle->"SlideHyperlink", ButtonNote->"First Slide"], ButtonBox[ StyleBox["\[LeftPointer]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPagePrevious"]}], ButtonStyle->"SlideHyperlink", ButtonNote->"Previous Slide"], ButtonBox[ StyleBox["\[RightPointer]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPageNext"]}], ButtonStyle->"SlideHyperlink", ButtonNote->"Next Slide"], ButtonBox[ StyleBox["\[LastPage]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPageLast"]}], ButtonStyle->"SlideHyperlink"], " ", ButtonBox[ StyleBox[ RowBox[{ CounterBox["SlideShowNavigationBar"], \(\(\ \)\(of\)\(\ \)\), CounterBox["SlideShowNavigationBar", {None, "SlideShowHeader", -1}]}], "SR"], ButtonFrame->"None"]} }]]]], "SlideShowNavigationBar", CellTags->"SlideShowHeader"], Cell[CellGroupData[{ Cell["Modeling, Simulating, and Analyzing a Tsunami", "Section", CellFrameMargins->{{37, 0}, {4, 4}}, CellFrameLabelMargins->2, FontSize->14, FontColor->RGBColor[0.847456, 0.85539, 0.946517], Background->RGBColor[0.313726, 0.34902, 0.764706]], Cell[CellGroupData[{ Cell["\<\ Simulating the Model \[Dash] Solution Monitoring\ \>", "Subsection", CellMargins->{{36, Inherited}, {Inherited, Inherited}}, FontSize->24], Cell[TextData[{ "We want to be able to monitor the solution as it progresses ... so we add \ a little extra code and use ", StyleBox["GUIKit", FontSlant->"Italic"], " to build a new monitor widget in ", StyleBox["Mathematica", FontSlant->"Italic"], ". 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", "SubsectionIcon"], Cell[TextData[{ "This is all the code needed to build a new widget in ", StyleBox["Mathematica", FontSlant->"Italic"], " ..." }], "Text"], Cell[CellGroupData[{ Cell["Build a Widget Using GUIKit", "SubsubsectionIcon"], Cell["Load the package.", "MathCaption"], Cell[BoxData[ \(Needs["\"]\)], "Input", CellLabel->"In[30]:=", InitializationCell->True], Cell["Set up the computation monitor.", "MathCaption"], Cell["\<\ monitorwidget = Widget[\"Frame\", { \"title\" -> \"Solution Monitor\", WidgetSpace[5], { WidgetSpace[5], Widget[\"TextField\", {\"text\" -> \"\", \"editable\"->False}, \ Name->\"time\"], WidgetFill[], WidgetSpace[5], Widget[\"Button\", {\"text\" -> \"Stop\", BindEvent[\"action\", Script[ stopRequested = True; ] ]}], WidgetSpace[5]}, Widget[\"ImageLabel\", { \"preferredSize\" -> Widget[\"Dimension\", {\"width\"->288, \ \"height\"->288}] }, WidgetLayout -> {\"Stretching\" -> {Maximize, Maximize}}, Name -> \ \"imagePanel\"], Script[ stopRequested = False; ] }, Name -> \"monitorFrame\"]; \ \>", "Input", CellLabel->"In[31]:=", PageWidth->Infinity, InitializationCell->True, ShowSpecialCharacters->False], Cell["Define the action to be the display for each frame.", "MathCaption"], Cell[BoxData[{ \(\(\[CapitalDelta]t\ = \ 60;\)\ (*\ 1\ minute\ real\ time\ per\ frame\ *) \), "\[IndentingNewLine]", \(\(showstep\ = \ 1;\)\ (*\ show\ every\ showstepth\ point\ *) \), "\[IndentingNewLine]", \(action\ := \ \((\[IndentingNewLine]timem\ = \ StringJoin["\", \ ToString[Round[t/60]], \ "\", ToString[ .1 Round[MemoryInUse[]/ 10^5]], \ "\< MB\>"]; \[IndentingNewLine]Sow[{t, \ timem}]; \[IndentingNewLine]monitor\ @\ SetPropertyValue[{"\", \ "\"}, timem]; \[IndentingNewLine]monitor\ @\ InvokeMethod[{"\", "\"}, \ \[IndentingNewLine]ExportString[\ ListPlot3D[ Take[h[\[Lambda], \ \[Phi], \ t], {1, \(-1\), \ showstep}, {1, \(-1\), \ showstep}], \ Mesh \[Rule] False, PlotRange \[Rule] {\(- .25\), 1}, DisplayFunction \[Rule] \ Identity], \ "\"]]; \[IndentingNewLine]If[\ TrueQ[\ monitor\ @\ Script[stopRequested]], \ monitor\ @\ Script[stopRequested\ = \ False]; Throw[Null, \ "\"]];\[IndentingNewLine])\)\)}], \ "Input", CellLabel->"In[32]:=", InitializationCell->True], Cell["This starts the monitor widget. ", "MathCaption"], Cell[BoxData[ \(\(monitor\ = \ GUIRun[monitorwidget];\)\)], "Input", CellLabel->"In[76]:="] }, Open ]] }, Closed]] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[TextData[Cell[BoxData[GridBox[{ { ButtonBox[ StyleBox["\[FirstPage]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPageFirst"]}], ButtonStyle->"SlideHyperlink", ButtonNote->"First Slide"], ButtonBox[ StyleBox["\[LeftPointer]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPagePrevious"]}], ButtonStyle->"SlideHyperlink", ButtonNote->"Previous Slide"], ButtonBox[ StyleBox["\[RightPointer]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPageNext"]}], ButtonStyle->"SlideHyperlink", ButtonNote->"Next Slide"], ButtonBox[ StyleBox["\[LastPage]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPageLast"]}], ButtonStyle->"SlideHyperlink"], " ", ButtonBox[ StyleBox[ RowBox[{ CounterBox["SlideShowNavigationBar"], \(\(\ \)\(of\)\(\ \)\), CounterBox["SlideShowNavigationBar", {None, "SlideShowHeader", -1}]}], "SR"], ButtonFrame->"None"]} }]]]], "SlideShowNavigationBar", CellTags->"SlideShowHeader"], Cell[CellGroupData[{ Cell["Modeling, Simulating, and Analyzing a Tsunami", "Section", CellFrameMargins->{{37, 0}, {4, 4}}, CellFrameLabelMargins->2, FontSize->14, FontColor->RGBColor[0.847456, 0.85539, 0.946517], Background->RGBColor[0.313726, 0.34902, 0.764706]], Cell[CellGroupData[{ Cell["\<\ Simulating the Model \[Dash] Low Resolution Simulation\ \>", "Subsection", CellMargins->{{36, Inherited}, {Inherited, Inherited}}, FontSize->24], Cell["For this faster simulation we will choose a grid spacing.", \ "MathCaption"], Cell[CellGroupData[{ Cell[BoxData[ \(GridSpacing[nx, ny]\)], "Input", CellLabel->"In[49]:="], Cell[BoxData[ \({"LongitudeSpacing" \[Rule] 723.7069429433592`\ "meters", "LatitudeSpacing" \[Rule] 971.4458179930757`\ "meters"}\)], "Output", CellLabel->"Out[49]="] }, Open ]], Cell["Start the monitoring widget. [Go ahead and evaluate]", "MathCaption"], Cell[BoxData[ \(\(monitor\ = \ GUIRun[monitorwidget];\)\)], "Input", CellLabel->"In[50]:="], Cell[TextData[{ "To simulate the model you simply use ", StyleBox["NDSolve", FontFamily->"Courier"], ", which solves the partial differential equations for the given initial \ conditions. [Go ahead and evaluate]" }], "MathCaption"], Cell[CellGroupData[{ Cell[BoxData[ \(sol\ = First@NDSolve[{swe, \ h[\[Lambda], \ \[Phi], \ 0]\ \[Equal] \ h0[\[Lambda], \ \[Phi]], \ u[\[Lambda], \ \[Phi], \ 0]\ \[Equal] \ 0, \ v[\[Lambda], \ \[Phi], \ 0]\ \[Equal] \ 0, \ h[\[Lambda], \ \[Phi]\_min, \ t]\ \[Equal] \ \ h[\[Lambda], \ \[Phi]\_max, \ t], \ h[\[Lambda]\_min, \ \[Phi], \ t]\ \[Equal] \ \ h[\ \[Lambda]\_max, \ \[Phi], \ t]}, h, \ {\[Lambda], \ \[Lambda]\_min, \ \ \[Lambda]\_max}, \ {\[Phi], \ \[Phi]\_min, \ \[Phi]\_max}, \ {t, 0, T}, \ methodOptions\ ]\)], "Input", CellLabel->"In[51]:="], Cell[BoxData[ RowBox[{"{", RowBox[{"h", "\[Rule]", TagBox[\(InterpolatingFunction[{{"...", \(-0.2617993877991494`\), 0.2617993877991494`, "..."}, {"...", \(-0.6108652381980153`\), 0.08726646259971647`, "..."}, {0.`, 7200.`}}, "<>"]\), False, Editable->False]}], "}"}]], "Output", CellLabel->"Out[51]="] }, Open ]], Cell["\<\ In this case we can see that there is a lot of noise in the solution.We need \ more data points... and hence more memory.\ \>", "MathCaption"], Cell["Close the monitoring widget. [Go ahead and evaluate]", "MathCaption"], Cell[BoxData[ \(\(CloseGUIObject[monitor];\)\)], "Input", CellLabel->"In[52]:="] }, Open ]], Cell[CellGroupData[{ Cell["More Information ... ", "SubsectionIcon"], Cell[TextData[{ "The solution of the system of partial differential equations from a \ specified equation and initial/boundary values is a multistep process that \ makes extensive use of ", StyleBox["Mathematica", FontSlant->"Italic"], "'s symbolic and numerical capabilities along with automatic algorithm \ selection. Here are some of the key steps in the process:" }], "Text"], Cell[" Derivative orders are determined in each dimension.", "BulletedList"], Cell["\<\ Boundary/initial values are analyzed to determine which variable should be \ temporal.\ \>", "BulletedList"], Cell["\<\ Equations are discretized in space giving a system of first-order ordinary \ differential equations (ODEs) in time. The spatial grid is determined by an \ error estimate based on the initial conditions. For this simulation, the \ spatial directions are done using a pseudospectral method that gives \ extremely good accuracy for resolution of relatively fine features.\ \>", "BulletedList"], Cell[" Boundary conditions are incorporated into the ODEs.", "BulletedList"], Cell["\<\ ODEs are solved using a solver that switches between explicit and implicit \ methods automatically depending on stiffness. If the stiff implicit method \ is used, the Jacobian is computed as a sparse matrix and a direct sparse \ solver is used to solve the necessary linear equations.\ \>", "BulletedList"], Cell[TextData[{ " The data produced during the solution process is collected into an ", StyleBox["InterpolatingFunction", FontFamily->"Courier"], "." }], "BulletedList"] }, Closed]] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[TextData[Cell[BoxData[GridBox[{ { ButtonBox[ StyleBox["\[FirstPage]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPageFirst"]}], ButtonStyle->"SlideHyperlink", ButtonNote->"First Slide"], ButtonBox[ StyleBox["\[LeftPointer]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPagePrevious"]}], ButtonStyle->"SlideHyperlink", ButtonNote->"Previous Slide"], ButtonBox[ StyleBox["\[RightPointer]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPageNext"]}], ButtonStyle->"SlideHyperlink", ButtonNote->"Next Slide"], ButtonBox[ StyleBox["\[LastPage]", "SR"], ButtonFunction:>FrontEndExecute[ { FrontEndToken[ FrontEnd`SelectedNotebook[ ], "ScrollPageLast"]}], ButtonStyle->"SlideHyperlink"], " ", ButtonBox[ StyleBox[ RowBox[{ CounterBox["SlideShowNavigationBar"], \(\(\ \)\(of\)\(\ \)\), CounterBox["SlideShowNavigationBar", {None, "SlideShowHeader", -1}]}], "SR"], ButtonFrame->"None"]} }]]]], "SlideShowNavigationBar", CellTags->"SlideShowHeader"], Cell[CellGroupData[{ Cell["Modeling, Simulating, and Analyzing a Tsunami", "Section", CellFrameMargins->{{37, 0}, {4, 4}}, CellFrameLabelMargins->2, FontSize->14, FontColor->RGBColor[0.847456, 0.85539, 0.946517], Background->RGBColor[0.313726, 0.34902, 0.764706]], Cell[CellGroupData[{ Cell["\<\ Simulating the Model \[Dash] 32-bit vs 64-bit\ \>", "Subsection", CellMargins->{{36, Inherited}, {Inherited, Inherited}}, FontSize->24], Cell["\<\ This summarizes some of the memory requirements and what it means in terms of \ the resolution of detail in the model. \ \>", "MathCaption"], Cell[BoxData[GridBox[{ {"\[Null]", \(32 - bit\ \((2 GB\ RAM)\)\), \(64 - bit\ \((8 GB\ RAM)\)\)}, {\(Grid\ points\), \(176\[Times]176\), \(360\[Times]360\)}, {\(Longitude\ spacing\), \(328\ m\), \(161\ m\)}, {\(Latititude\ spacing\), \(441\ m\), \(216\ m\)}, {\(Solution\ size\), \(450 MB\), \(4 GB\)}, {\(Max\ memory\ used\), \(721 MB\), \(6.1\ GB\)} }, GridFrame->True, RowLines->True, ColumnLines->True]], "DisplayMath", FontSize->16], Cell["\<\ The largest 32-bit simulation on a 2GB machine uses 176 grid points in each \ direction. This gives the following spatial resolution. \ \>", "MathCaption"], Cell[CellGroupData[{ Cell[BoxData[{ \(\(n\ = \ 11*16;\)\), "\[IndentingNewLine]", \(nx\ = \ n\ + \ 1; ny\ = n\ + \ 1; \ nxy\ = \ \((nx\ - \ 1)\)*\((ny - 1)\);\), "\[IndentingNewLine]", \(GridSpacing[nx, ny]\)}], "Input", CellLabel->"In[59]:=", Evaluatable->False], Cell[BoxData[ \({"LongitudeSpacing" \[Rule] 328.95770132649125`\ "meters", "LatitudeSpacing" \[Rule] 441.56628090593847`\ "meters"}\)], "Output", CellLabel->"Out[61]="] }, Open ]], Cell["\<\ The largest 64-bit simulation is really only limited by physical RAM. On an \ 8GB machine we ran a model using 360 grid points in each direction. With the \ spatial resolution below. \ \>", "MathCaption"], Cell[CellGroupData[{ Cell[BoxData[{ \(\(n\ = 5*8*9;\)\), "\[IndentingNewLine]", \(nx\ = \ n\ + \ 1; ny\ = n\ + \ 1; \ nxy\ = \ \((nx\ - \ 1)\)*\((ny - 1)\);\), "\[IndentingNewLine]", \(GridSpacing[nx, ny]\)}], "Input", CellLabel->"In[67]:=", Evaluatable->False], Cell[BoxData[ \({"LongitudeSpacing" \[Rule] 160.82376509184687`\ "meters", "LatitudeSpacing" \[Rule] 215.8768484429045`\ "meters"}\)], "Output", CellLabel->"Out[69]="] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["More Information ... ", "SubsectionIcon"], Cell[TextData[{ "The algorithm used is based on a pseudospectral discretization in space \ followed by an integration in time. The pseudospectral discretization \ provides very good accuracy for relatvely few grid points and is based on \ computing fast Fourier transforms (FFTs). FFT's are by no means limited to \ power of two lengths and ", StyleBox["Mathematica", FontSlant->"Italic"], " uses an efficient prime factor algorithm for which the FFTs can be \ computed more efficiently for lengths that have small primes as factors. 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In particular we \ want to analyze some of the properties such as wave height, wave speed, etc. \ Having the solution in memory makes this very easy. \ \>", "Text"], Cell["\<\ Set up the height as a function of latitude and time for the mean longitude, \ and compute its gradient with respect to longitude\ \>", "MathCaption"], Cell[BoxData[{ \(\(h\[Phi][\[Phi]_?NumberQ, \ t_]\ = \ h[0, \[Phi], \ t]\ /. \ sol;\)\), "\[IndentingNewLine]", \(\(h\[Phi]g[\[Phi]_?NumberQ, \ t_]\ = \ {D[ h[0, \[Phi], \ t]\ /. \ sol, \ \[Phi]]};\)\), "\[IndentingNewLine]", \(\(\[Phi]gridp\ = \ Cases[\((h\ /. \ sol)\)[\([3, 2]\)], \ x_\ /; \ \((x\ > \ \(-15\) \[Degree])\)];\)\)}], "Input", CellLabel->"In[53]:=", Editable->False, Evaluatable->True], Cell["The crest of the wave is the maximum of the function. ", "MathCaption"], Cell[BoxData[ \(Crest[t_]\ := \ Module[{gvals\ = \ h[0, \ \[Phi]gridp, \ t]\ /. \ sol, max}, \ max\ = \ FindMaximum[ h\[Phi][\[Phi], \ t], \ {\[Phi], \ Last[Extract[\[Phi]gridp, Position[gvals, Max[gvals]]]]\ }, \ Gradient \[Rule] h\[Phi]g[\[Phi], \ t]]; {t, \ \ \[Phi]\ /. \ max[\([2]\)], \ max[\([1]\)]}]\)], "Input", CellLabel->"In[56]:=", Editable->False], Cell["\<\ The following analysis was pre-generated using the high-resolution data.\ \>", "MathCaption"], Cell[BoxData[ \(\(crests\ = \ Table[Crest[t], {t, \ 0, T, \ T/120}];\)\)], "Input", CellLabel->"In[57]:=", Editable->False, Evaluatable->False], Cell["\<\ This shows the heights of the crest, in meters, as the wave travels. \ \>", "MathCaption"], Cell[CellGroupData[{ Cell[BoxData[ \(\(ListPlot[crests[\([All, {1, 3}]\)]];\)\)], "Input", CellLabel->"In[91]:=", Evaluatable->False], Cell[GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg@3oool010000000oooo0?ooo`0000090?ooo`00703oool0 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CellFrameMargins->{{8, 8}, {4, 8}}, Background->RGBColor[1, 1, 0.8]], Cell[StyleData["Input", "Printout"], ShowCellBracket->False, CellMargins->{{39, 0}, {4, 6}}, FontSize->9], Cell[StyleData["Input", "EnhancedPrintout"], ShowCellBracket->False, CellMargins->{{39, 0}, {4, 6}}, FontSize->9], Cell[StyleData["Input", "EnhancedPrintoutNonGray"], ShowCellBracket->False, CellMargins->{{39, 0}, {4, 6}}, FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Output"], ShowCellBracket->True, CellMargins->{{66, 4}, {8, 2}}, CellEditDuplicate->True, CellGroupingRules->"OutputGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GroupPageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, CellLabelAutoDelete->False, CellLabelMargins->{{14, Inherited}, {Inherited, Inherited}}, DefaultFormatType->DefaultOutputFormatType, "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, AutoItalicWords->{}, LanguageCategory->None, FormatType->StandardForm], Cell[StyleData["Output", "Presentation"], FontSize->18], Cell[StyleData["Output", "SlideShow"], ShowCellBracket->True, CellMargins->{{100, 50}, {6, 0}}, PageBreakWithin->False, GroupPageBreakWithin->False, CellFrameMargins->{{8, 8}, {8, 4}}, Background->RGBColor[1, 1, 0.8]], Cell[StyleData["Output", "Printout"], ShowCellBracket->False, CellMargins->{{39, 0}, {6, 4}}, FontSize->9], Cell[StyleData["Output", "EnhancedPrintout"], ShowCellBracket->False, CellMargins->{{39, 0}, {6, 4}}, FontSize->9], Cell[StyleData["Output", "EnhancedPrintoutNonGray"], ShowCellBracket->False, CellMargins->{{39, 0}, {6, 4}}, FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["InputOnly"], ShowCellBracket->True, CellMargins->{{66, 4}, {8, 8}}, Evaluatable->True, CellGroupingRules->"InputGrouping", PageBreakWithin->False, GroupPageBreakWithin->False, CellLabelAutoDelete->False, CellLabelMargins->{{14, Inherited}, {Inherited, Inherited}}, DefaultFormatType->DefaultInputFormatType, ShowSpecialCharacters->Automatic, "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, AutoItalicWords->{}, LanguageCategory->"Mathematica", FormatType->StandardForm, ShowStringCharacters->True, NumberMarks->True, StyleMenuListing->None, FontWeight->"Bold"], Cell[StyleData["InputOnly", "Presentation"], FontSize->18], Cell[StyleData["InputOnly", "SlideShow"], ShowCellBracket->True, CellMargins->{{100, 50}, {6, 6}}, PageBreakWithin->False, GroupPageBreakWithin->False, Background->RGBColor[1, 1, 0.8]], Cell[StyleData["InputOnly", "Printout"], ShowCellBracket->False, CellMargins->{{39, 0}, {6, 6}}, FontSize->9], Cell[StyleData["InputOnly", "EnhancedPrintout"], ShowCellBracket->False, CellMargins->{{39, 0}, {6, 6}}, FontSize->9], Cell[StyleData["InputOnly", "EnhancedPrintoutNonGray"], ShowCellBracket->False, CellMargins->{{39, 0}, {6, 6}}, FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Message"], ShowCellBracket->True, CellMargins->{{66, 4}, {4, 2}}, CellGroupingRules->"OutputGrouping", PageBreakWithin->False, GroupPageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, ShowCellLabel->False, CellLabelMargins->{{14, Inherited}, {Inherited, Inherited}}, DefaultFormatType->DefaultOutputFormatType, "TwoByteSyntaxCharacterAutoReplacement"->True, AutoStyleOptions->{"UnmatchedBracketStyle"->None}, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, AutoItalicWords->{}, LanguageCategory->None, FormatType->InputForm, CounterIncrements->"Message", StyleMenuListing->None, FontFamily->"Helvetica", FontSize->10, FontColor->RGBColor[0.6, 0.100008, 0.100008]], Cell[StyleData["Message", "Presentation"], FontSize->18], Cell[StyleData["Message", "SlideShow"], CellMargins->{{100, 50}, {6, 6}}, FontSize->10, FontColor->RGBColor[0.699992, 0.4, 0]], Cell[StyleData["Message", "Printout"], ShowCellBracket->False, CellMargins->{{39, Inherited}, {Inherited, Inherited}}, FontSize->9, FontColor->GrayLevel[0]], Cell[StyleData["Message", "EnhancedPrintout"], ShowCellBracket->False, CellMargins->{{39, Inherited}, {Inherited, Inherited}}, FontFamily->"Courier", FontSize->9, FontColor->GrayLevel[0]], Cell[StyleData["Message", "EnhancedPrintoutNonGray"], ShowCellBracket->False, CellMargins->{{39, Inherited}, {Inherited, Inherited}}, FontFamily->"Courier", FontSize->9, FontColor->GrayLevel[0]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Print"], ShowCellBracket->True, CellMargins->{{66, 4}, {4, 2}}, CellGroupingRules->"OutputGrouping", PageBreakWithin->False, GroupPageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, ShowCellLabel->False, CellLabelMargins->{{14, Inherited}, {Inherited, Inherited}}, DefaultFormatType->DefaultOutputFormatType, "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, AutoItalicWords->{}, LanguageCategory->None, FormatType->InputForm, StyleMenuListing->None], Cell[StyleData["Print", "Presentation"], FontSize->18], Cell[StyleData["Print", "SlideShow"], CellMargins->{{100, 50}, {6, 6}}], Cell[StyleData["Print", "Printout"], ShowCellBracket->False, CellMargins->{{57, Inherited}, {Inherited, Inherited}}, FontSize->9], Cell[StyleData["Print", "EnhancedPrintout"], ShowCellBracket->False, CellMargins->{{57, Inherited}, {Inherited, Inherited}}, FontFamily->"Courier Std", FontSize->9], Cell[StyleData["Print", "EnhancedPrintoutNonGray"], ShowCellBracket->False, CellMargins->{{57, Inherited}, {Inherited, Inherited}}, FontFamily->"Courier Std", FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Graphics"], ShowCellBracket->True, CellMargins->{{66, 4}, {4, 2}}, CellGroupingRules->"GraphicsGrouping", PageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, ShowCellLabel->False, DefaultFormatType->Utilities`Notation`Private`DefaultFormatTypeForOutput, LanguageCategory->None, FormatType->InputForm, StyleMenuListing->None, FontWeight->"Plain"], Cell[StyleData["Graphics", "Presentation"], FontSize->18], Cell[StyleData["Graphics", "SlideShow"], ShowCellBracket->True, CellMargins->{{100, 50}, {6, 0}}, PageBreakWithin->False, GroupPageBreakWithin->False, CellFrameMargins->{{8, 8}, {4, 4}}, Background->RGBColor[1, 1, 0.8]], Cell[StyleData["Graphics", "Printout"], ShowCellBracket->False, CellMargins->{{39, Inherited}, {Inherited, Inherited}}, ImageSize->{250, 250}, FontSize->9], Cell[StyleData["Graphics", "EnhancedPrintout"], ShowCellBracket->False, CellMargins->{{32, Inherited}, {Inherited, Inherited}}, ImageSize->{250, 250}, FontFamily->"Courier Std", FontSize->9], Cell[StyleData["Graphics", "EnhancedPrintoutNonGray"], ShowCellBracket->False, CellMargins->{{32, Inherited}, {Inherited, Inherited}}, ImageSize->{250, 250}, FontFamily->"Courier Std", FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["CellLabel"], LanguageCategory->None, StyleMenuListing->None, FontFamily->"Helvetica", FontSize->9, FontWeight->"Plain", FontColor->RGBColor[0.269993, 0.308507, 0.6]], Cell[StyleData["CellLabel", "Presentation"], FontSize->14], Cell[StyleData["CellLabel", "SlideShow"], FontColor->RGBColor[0.699992, 0.4, 0]], Cell[StyleData["CellLabel", "Printout"], FontFamily->"Courier", FontSize->8, FontSlant->"Oblique", FontColor->GrayLevel[0]], Cell[StyleData["CellLabel", "EnhancedPrintout"], FontFamily->"Courier Std", FontSize->8, FontSlant->"Oblique", FontColor->GrayLevel[0]], Cell[StyleData["CellLabel", "EnhancedPrintoutNonGray"], FontFamily->"Courier Std", FontSize->8, FontSlant->"Oblique", FontColor->GrayLevel[0]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Name"], StyleMenuListing->None, FontFamily->"Helvetica", FontSize->9, FontWeight->"Plain", FontSlant->"Italic", FontColor->RGBColor[0.269993, 0.308507, 0.6]], Cell[StyleData["Name", "Presentation"], FontSize->14], Cell[StyleData["Name", "Printout"], FontSize->7, FontSlant->"Oblique", FontColor->GrayLevel[0]], Cell[StyleData["Name", "EnhancedPrintout"], FontFamily->"Frutiger-Italic", FontSize->7, FontSlant->"Plain", FontColor->GrayLevel[0]], Cell[StyleData["Name", "EnhancedPrintoutNonGray"], FontFamily->"Frutiger-Italic", FontSize->7, FontSlant->"Plain", FontColor->GrayLevel[0]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Hyperlinks", "Section"], Cell["\<\ The cells below define styles useful for making hypertext ButtonBoxes. The \ \"Hyperlink\" style is for links within the same Notebook, or between \ Notebooks. The others point to the various sections of the help browser. \ These styles will modify individual words or letters in a cell exclusive of \ the cell tag.\ \>", "Text"], Cell[CellGroupData[{ Cell[StyleData["Hyperlink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookLocate[ #2]}]&), Active->True, ButtonNote->ButtonData}], Cell[StyleData["Hyperlink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["Hyperlink", "EnhancedPrintout"], FontFamily->"Palatino", FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["Hyperlink", "EnhancedPrintoutNonGray"], FontFamily->"Palatino", FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["MainBookLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "MainBook", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["MainBookLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["MainBookLink", "EnhancedPrintout"], FontFamily->"Palatino", FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["MainBookLink", "EnhancedPrintoutNonGray"], FontFamily->"Palatino", FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["MainBookLinkMR"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontFamily->"Courier", FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "MainBook", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["MainBookLinkMR", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["MainBookLinkMR", "EnhancedPrintout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["MainBookLinkMR", "EnhancedPrintoutNonGray"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["AddOnsLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontFamily->"Courier", FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "AddOns", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["AddOnsLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["AddOnsLink", "EnhancedPrintout"], FontFamily->"WRICourier", FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["AddOnsLink", "EnhancedPrintoutNonGray"], FontFamily->"WRICourier", FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["AddOnsLinkText"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontFamily->"Times", FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "AddOns", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["AddOnsLinkText", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["AddOnsLinkText", "EnhancedPrintout"], FontFamily->"Palatino", FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["AddOnsLinkText", "EnhancedPrintoutNonGray"], FontFamily->"Palatino", FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["RefGuideLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontFamily->"Courier", FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "RefGuide", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["RefGuideLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["RefGuideLink", "EnhancedPrintout"], FontFamily->"WRICourier", FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["RefGuideLink", "EnhancedPrintoutNonGray"], FontFamily->"WRICourier", FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["GettingStartedLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "GettingStarted", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["GettingStartedLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["GettingStartedLink", "EnhancedPrintout"], FontFamily->"Palatino", FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["GettingStartedLink", "EnhancedPrintoutNonGray"], FontFamily->"Palatino", FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["DemosLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "Demos", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["DemosLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["DemosLink", "EnhancedPrintout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["DemosLink", "EnhancedPrintoutNonGray"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["TourLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "Tour", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["TourLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["TourLink", "EnhancedPrintout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["TourLink", "EnhancedPrintoutNonGray"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["OtherInformationLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "OtherInformation", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["OtherInformationLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["OtherInformationLink", "EnhancedPrintout"], FontFamily->"Palatino", FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["OtherInformationLink", "EnhancedPrintoutNonGray"], FontFamily->"Palatino", FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["OtherInformationLinkMR"], StyleMenuListing->None, FontFamily->"Courier", FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "OtherInformation", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["OtherInformationLinkMR", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["OtherInformationLinkMR", "EnhancedPrintout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["OtherInformationLinkMR", "EnhancedPrintoutNonGray"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["MasterIndexLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "MasterIndex", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["MasterIndexLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["MasterIndexLink", "EnhancedPrintout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["MasterIndexLink", "EnhancedPrintoutNonGray"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["NotebookLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontFamily->"Times", FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookLocate[ #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["NotebookLink", "Printout"], FontSize->11, FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["NotebookLink", "EnhancedPrintout"], FontFamily->"Palatino", FontSize->10, FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["NotebookLink", "EnhancedPrintoutNonGray"], FontFamily->"Palatino", FontSize->10, FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["NotebookLinkMR"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontFamily->"Courier", FontColor->RGBColor[0.269993, 0.308507, 0.6], ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookLocate[ #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["NotebookLinkMR", "Printout"], FontSize->11, FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["NotebookLinkMR", "EnhancedPrintout"], FontSize->10, FontColor->GrayLevel[0], FontVariations->{"Underline"->False}], Cell[StyleData["NotebookLinkMR", "EnhancedPrintoutNonGray"], FontSize->10, FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Palette Styles", "Section"], Cell["\<\ The cells below define styles that define standard ButtonFunctions, for use \ in palette buttons.\ \>", "Text"], Cell[StyleData["Paste"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookApply[ FrontEnd`InputNotebook[ ], #, After]}]&)}], Cell[StyleData["Evaluate"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookApply[ FrontEnd`InputNotebook[ ], #, All], FrontEnd`SelectionEvaluate[ FrontEnd`InputNotebook[ ], All]}]&)}], Cell[StyleData["EvaluateCell"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookApply[ FrontEnd`InputNotebook[ ], #, All], FrontEnd`SelectionMove[ FrontEnd`InputNotebook[ ], All, Cell, 1], FrontEnd`SelectionEvaluateCreateCell[ FrontEnd`InputNotebook[ ], All]}]&)}], Cell[StyleData["CopyEvaluate"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`SelectionCreateCell[ FrontEnd`InputNotebook[ ], All], FrontEnd`NotebookApply[ FrontEnd`InputNotebook[ ], #, All], FrontEnd`SelectionEvaluate[ FrontEnd`InputNotebook[ ], All]}]&)}], Cell[StyleData["CopyEvaluateCell"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`SelectionCreateCell[ FrontEnd`InputNotebook[ ], All], FrontEnd`NotebookApply[ FrontEnd`InputNotebook[ ], #, All], FrontEnd`SelectionEvaluateCreateCell[ FrontEnd`InputNotebook[ ], All]}]&)}] }, Closed]], Cell[CellGroupData[{ Cell["Inline Formatting", "Section"], Cell["\<\ These styles are for modifying individual words or letters in a cell \ exclusive of the cell tag.\ \>", "Text"], Cell[CellGroupData[{ Cell[StyleData["JT"], StyleMenuListing->None, FontFamily->"JFontText"], Cell[StyleData["JT", "Printout"]], Cell[StyleData["JT", "EnhancedPrintout"]], Cell[StyleData["JT", "EnhancedPrintoutNonGray"]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["JS"], StyleMenuListing->None, FontFamily->"JFontSans"], Cell[StyleData["JS", "Printout"]], Cell[StyleData["JS", "EnhancedPrintout"]], Cell[StyleData["JS", "EnhancedPrintoutNonGray"]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["JSB"], StyleMenuListing->None, FontFamily->"JFontSansBold"], Cell[StyleData["JSB", "Printout"]], Cell[StyleData["JSB", "EnhancedPrintout"]], Cell[StyleData["JSB", "EnhancedPrintoutNonGray"]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["RM"], StyleMenuListing->None, FontWeight->"Plain", FontSlant->"Plain"], Cell[StyleData["RM", "Printout"]], Cell[StyleData["RM", "EnhancedPrintout"]], Cell[StyleData["RM", "EnhancedPrintoutNonGray"]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["BF"], StyleMenuListing->None, FontWeight->"Bold"], Cell[StyleData["BF", "Printout"]], Cell[StyleData["BF", "EnhancedPrintout"]], Cell[StyleData["BF", "EnhancedPrintoutNonGray"]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["IT"], StyleMenuListing->None, FontSlant->"Italic"], Cell[StyleData["IT", "Printout"]], Cell[StyleData["IT", "EnhancedPrintout"]], Cell[StyleData["IT", "EnhancedPrintoutNonGray"]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["TR"], StyleMenuListing->None, FontFamily->"Times", FontWeight->"Plain", FontSlant->"Plain"], Cell[StyleData["TR", "Printout"]], Cell[StyleData["TR", "EnhancedPrintout"], FontFamily->"Palatino"], Cell[StyleData["TR", "EnhancedPrintoutNonGray"], FontFamily->"Palatino"] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["TI"], StyleMenuListing->None, FontFamily->"Times", FontSlant->"Italic"], Cell[StyleData["TI", "Printout"]], Cell[StyleData["TI", "EnhancedPrintout"], FontFamily->"Palatino"], Cell[StyleData["TI", "EnhancedPrintoutNonGray"], FontFamily->"Palatino"] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["TB"], StyleMenuListing->None, FontFamily->"Times", FontWeight->"Bold", FontSlant->"Plain"], Cell[StyleData["TB", "Printout"]], Cell[StyleData["TB", "EnhancedPrintout"], FontFamily->"Palatino"], Cell[StyleData["TB", "EnhancedPrintoutNonGray"], FontFamily->"Palatino"] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["TBI"], StyleMenuListing->None, FontFamily->"Times", FontWeight->"Bold", FontSlant->"Italic"], Cell[StyleData["TBI", "Printout"]], Cell[StyleData["TBI", "EnhancedPrintout"], FontFamily->"Palatino"], Cell[StyleData["TBI", "EnhancedPrintoutNonGray"], FontFamily->"Palatino"] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["MR"], Hyphenation->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, AutoItalicWords->{}, StyleMenuListing->None, FontFamily->"Courier", FontWeight->"Plain", FontSlant->"Plain"], Cell[StyleData["MR", "Printout"]], Cell[StyleData["MR", "EnhancedPrintout"], FontFamily->"Courier Std"], Cell[StyleData["MR", "EnhancedPrintoutNonGray"], FontFamily->"Courier Std"] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["MO"], HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, StyleMenuListing->None, FontFamily->"Courier", FontWeight->"Plain", FontSlant->"Italic"], Cell[StyleData["MO", "Printout"], FontSlant->"Oblique"], Cell[StyleData["MO", "EnhancedPrintout"], FontFamily->"Courier Std", FontSlant->"Oblique"], Cell[StyleData["MO", "EnhancedPrintoutNonGray"], FontFamily->"Courier Std", FontSlant->"Oblique"] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["MB"], HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, StyleMenuListing->None, FontFamily->"Courier", FontWeight->"Bold", FontSlant->"Plain"], Cell[StyleData["MB", "Printout"]], Cell[StyleData["MB", "EnhancedPrintout"], FontFamily->"Courier Std"], Cell[StyleData["MB", "EnhancedPrintoutNonGray"], FontFamily->"Courier Std"] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["MBO"], HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, StyleMenuListing->None, FontFamily->"Courier", FontWeight->"Bold", FontSlant->"Italic"], Cell[StyleData["MBO", "Printout"], FontSlant->"Oblique"], Cell[StyleData["MBO", "EnhancedPrintout"], FontFamily->"Courier Std", FontSlant->"Oblique"], Cell[StyleData["MBO", "EnhancedPrintoutNonGray"], FontFamily->"Courier Std", FontSlant->"Oblique"] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["SR"], StyleMenuListing->None, FontFamily->"Helvetica", FontWeight->"Plain", FontSlant->"Plain"], Cell[StyleData["SR", "Printout"]], Cell[StyleData["SR", "EnhancedPrintout"], FontFamily->"Frutiger-Roman"], Cell[StyleData["SR", "EnhancedPrintoutNonGray"], FontFamily->"Frutiger-Roman"] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["SO"], StyleMenuListing->None, FontFamily->"Helvetica", FontWeight->"Plain", FontSlant->"Italic"], Cell[StyleData["SO", "Printout"], StyleMenuListing->None, 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Cell[StyleData["PrintGraphic", "Printout"], CellMargins->{{2, Inherited}, {0, 8}}, CellElementSpacings->{"CellMinHeight"->2, "ClosedCellHeight"->2}, CellOpen->False], Cell[StyleData["PrintGraphic", "EnhancedPrintout"], CellMargins->{{2, Inherited}, {0, 8}}, CellElementSpacings->{"CellMinHeight"->12}, CellOpen->True], Cell[StyleData["PrintGraphic", "EnhancedPrintoutNonGray"], CellMargins->{{2, Inherited}, {0, 8}}, CellElementSpacings->{"CellMinHeight"->12}, CellOpen->True] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["SmallTextSans"], CellMargins->{{10, 4}, {8, 8}}, TextJustification->1, LineSpacing->{1, 2}, FontFamily->"Helvetica", FontSize->9], Cell[StyleData["SmallTextSans", "Presentation"], FontSize->14], Cell[StyleData["SmallTextSans", "Printout"], CellMargins->{{2, 0}, {0, 8}}, Hyphenation->True, FontSize->7], Cell[StyleData["SmallTextSans", "EnhancedPrintout"], CellMargins->{{2, 0}, {0, 8}}, Hyphenation->True, LineSpacing->{1, 1}, ParagraphSpacing->{0, -2}, 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(******************************************************************* End of Mathematica Notebook file. *******************************************************************)