(* Content-type: application/vnd.wolfram.mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 8.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 157, 7] NotebookDataLength[ 36133, 669] NotebookOptionsPosition[ 19626, 372] NotebookOutlinePosition[ 36231, 671] CellTagsIndexPosition[ 36188, 668] WindowFrame->Normal*) (* Beginning of Notebook Content *) Notebook[{ Cell[BoxData[ TagBox[ StyleBox[ DynamicModuleBox[{$CellContext`aspectrat$$ = 1, $CellContext`dr$$ = 1, $CellContext`dx$$ = 1, $CellContext`dy$$ = 1, $CellContext`d\[Theta]$$ = 15 Degree, $CellContext`gridlines$$ = True, $CellContext`imgsz$$ = 400, $CellContext`maxr$$ = 5, $CellContext`polar$$ = False, $CellContext`tickmarks$$ = True, $CellContext`type$$ = 1, $CellContext`xmax$$ = 5, $CellContext`xmin$$ = -5, $CellContext`ymax$$ = 5, $CellContext`ymin$$ = -5, Typeset`show$$ = True, 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{$CellContext`xmin$$, $CellContext`xmax$$, \ $CellContext`dx$$, $CellContext`ymin$$, $CellContext`ymax$$, \ $CellContext`dy$$, $CellContext`polar$$, $CellContext`gridlines$$, \ $CellContext`tickmarks$$, $CellContext`aspectrat$$} = {-10, 10, 1, -10, 10, 1, False, True, True, 1}]], Manipulate`Dump`ThisIsNotAControl}, { Hold[ Button[ "Zoom Trig", {$CellContext`xmin$$, $CellContext`xmax$$, \ $CellContext`dx$$, $CellContext`ymin$$, $CellContext`ymax$$, \ $CellContext`dy$$, $CellContext`polar$$, $CellContext`gridlines$$, \ $CellContext`tickmarks$$, $CellContext`aspectrat$$} = {(-2) Pi, 2 Pi, Pi/ 4, -2, 2, 1, False, True, True, Automatic}]], Manipulate`Dump`ThisIsNotAControl}, { Hold[ Button[ "Zoom Polar", {$CellContext`polar$$, $CellContext`maxr$$, \ $CellContext`type$$, $CellContext`dr$$, $CellContext`d\[Theta]$$, \ $CellContext`aspectrat$$, $CellContext`tickmarks$$} = { True, 8, 1, 1, 15 Degree, Automatic, True}]], Manipulate`Dump`ThisIsNotAControl}, {{ Hold[$CellContext`imgsz$$], 400, "Image Size"}, 100, 700}}, Typeset`size$$ = {400., {198., 202.}}, Typeset`update$$ = 0, Typeset`initDone$$, Typeset`skipInitDone$$ = False, $CellContext`xmin$40120$$ = 0, $CellContext`xmax$40121$$ = 0, $CellContext`dx$40122$$ = 0, $CellContext`gridlines$40123$$ = False, $CellContext`tickmarks$40124$$ = False, $CellContext`ymin$40125$$ = 0, $CellContext`ymax$40126$$ = 0, $CellContext`dy$40127$$ = 0, $CellContext`polar$40128$$ = False, $CellContext`maxr$40129$$ = 0, $CellContext`type$40130$$ = False, $CellContext`d\[Theta]$40131$$ = False, $CellContext`dr$40132$$ = 0, $CellContext`aspectrat$40133$$ = False, $CellContext`imgsz$40134$$ = 0}, DynamicBox[Manipulate`ManipulateBoxes[ 2, StandardForm, "Variables" :> {$CellContext`aspectrat$$ = 1, $CellContext`dr$$ = 1, $CellContext`dx$$ = 1, $CellContext`dy$$ = 1, $CellContext`d\[Theta]$$ = 15 Degree, $CellContext`gridlines$$ = True, $CellContext`imgsz$$ = 400, $CellContext`maxr$$ = 5, $CellContext`polar$$ = False, $CellContext`tickmarks$$ = True, $CellContext`type$$ = 1, $CellContext`xmax$$ = 5, $CellContext`xmin$$ = -5, $CellContext`ymax$$ = 5, $CellContext`ymin$$ = -5}, "ControllerVariables" :> { Hold[$CellContext`xmin$$, $CellContext`xmin$40120$$, 0], Hold[$CellContext`xmax$$, $CellContext`xmax$40121$$, 0], Hold[$CellContext`dx$$, $CellContext`dx$40122$$, 0], Hold[$CellContext`gridlines$$, $CellContext`gridlines$40123$$, False], Hold[$CellContext`tickmarks$$, $CellContext`tickmarks$40124$$, False], Hold[$CellContext`ymin$$, $CellContext`ymin$40125$$, 0], Hold[$CellContext`ymax$$, $CellContext`ymax$40126$$, 0], Hold[$CellContext`dy$$, $CellContext`dy$40127$$, 0], Hold[$CellContext`polar$$, $CellContext`polar$40128$$, False], Hold[$CellContext`maxr$$, $CellContext`maxr$40129$$, 0], Hold[$CellContext`type$$, $CellContext`type$40130$$, False], Hold[$CellContext`d\[Theta]$$, $CellContext`d\[Theta]$40131$$, False], Hold[$CellContext`dr$$, $CellContext`dr$40132$$, 0], Hold[$CellContext`aspectrat$$, $CellContext`aspectrat$40133$$, False], Hold[$CellContext`imgsz$$, $CellContext`imgsz$40134$$, 0]}, "OtherVariables" :> { Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$, Typeset`skipInitDone$$}, "Body" :> Module[{}, If[$CellContext`polar$$, {$CellContext`xmin$$, $CellContext`xmax$$, \ $CellContext`ymin$$, $CellContext`ymax$$} = {-$CellContext`maxr$$, \ $CellContext`maxr$$, -$CellContext`maxr$$, $CellContext`maxr$$}, {}]; \ $CellContext`p1 = Show[{ Plot[ 0, {$CellContext`x, $CellContext`xmin$$, $CellContext`xmax$$}, PlotRange -> {{$CellContext`xmin$$, $CellContext`xmax$$}, \ {$CellContext`ymin$$, $CellContext`ymax$$}}, PlotStyle -> Opacity[0]]}, If[$CellContext`polar$$, { Graphics[ Table[{Gray, Dashed, Opacity[0.3], Circle[{0, 0}, $CellContext`r]}, {$CellContext`r, 0, $CellContext`maxr$$, $CellContext`dr$$}]], Graphics[ Table[{Dashed, Gray, Opacity[0.3], Line[{{0, 0}, $CellContext`maxr$$ { Cos[$CellContext`\[Theta]], Sin[$CellContext`\[Theta]]}}]}, {$CellContext`\[Theta], 0, 360 Degree, $CellContext`d\[Theta]$$}]], Graphics[ Line[{{0, -$CellContext`maxr$$}, {0, $CellContext`maxr$$}}]], If[$CellContext`tickmarks$$, Graphics[ Table[ Text[ Style[ If[$CellContext`type$$ == 1, $CellContext`i (Pi/(180 Degree)), $CellContext`i], Darker[Red, 0.5], 12], $CellContext`maxr$$ { Cos[$CellContext`i], Sin[$CellContext`i]}], {$CellContext`i, 0, 360 Degree, $CellContext`d\[Theta]$$}]], {}]}, {}], GridLines -> If[ Or[ Not[$CellContext`gridlines$$], $CellContext`polar$$], None, { Range[ Mod[$CellContext`xmin$$, $CellContext`dx$$] - Abs[$CellContext`xmin$$], Mod[$CellContext`xmax$$, $CellContext`dx$$] + Abs[$CellContext`xmax$$], $CellContext`dx$$], Range[ Mod[$CellContext`ymin$$, $CellContext`dy$$] - Abs[$CellContext`ymin$$], Mod[$CellContext`ymax$$, $CellContext`dy$$] + Abs[$CellContext`ymax$$], $CellContext`dy$$]}], GridLinesStyle -> Directive[Dashed, Gray, Opacity[0.3]], AxesStyle -> $CellContext`axesstyle1, AxesLabel -> If[$CellContext`polar$$, None, { Style["x", 15, Italic], Style["y", Italic, 15]}], Ticks -> If[$CellContext`tickmarks$$, If[$CellContext`polar$$, { Range[0, $CellContext`maxr$$, $CellContext`dr$$], None}, { Range[ Mod[$CellContext`xmin$$, $CellContext`dx$$] - Abs[$CellContext`xmin$$], Mod[$CellContext`xmax$$, $CellContext`dx$$] + Abs[$CellContext`xmax$$], $CellContext`dx$$], Range[ Mod[$CellContext`ymin$$, $CellContext`dy$$] - Abs[$CellContext`ymin$$], Mod[$CellContext`ymax$$, $CellContext`dy$$] + Abs[$CellContext`ymax$$], $CellContext`dy$$]}], None], PlotRange -> {{$CellContext`xmin$$, $CellContext`xmax$$ + 0.1}, {$CellContext`ymin$$, $CellContext`ymax$$ + 0.1}}, AxesOrigin -> {0, 0}, AspectRatio -> $CellContext`aspectrat$$, Axes -> If[$CellContext`polar$$, {True, False}, True], PlotRangePadding -> 1, ImageSize -> {$CellContext`imgsz$$, $CellContext`imgsz$$}]], "Specifications" :> {{{$CellContext`xmin$$, -5, "Xmin"}, { 0, -5, (-2) Pi, -10, (-4) Pi, -20, -50, -100, -500, -1000}, ImageSize -> 80}, {{$CellContext`xmax$$, 5, "Xmax"}, { 5, 2 Pi, 10, 4 Pi, 20, 50, 100, 500, 1000}, ImageSize -> 80}, {{$CellContext`dx$$, 1, "\[CapitalDelta]\[InvisibleSpace]x"}, { Rational[1, 4] Pi, 1, Rational[1, 2] Pi, 2, 5, 10, 20, 25, 50, 100}, ImageSize -> 80}, {{$CellContext`gridlines$$, True, "Grid Lines"}, { True, False}, ControlPlacement -> 1}, {{$CellContext`tickmarks$$, True, " Tick Marks"}, { True, False}, ControlPlacement -> 2}, Row[{ Manipulate`Place[1], Manipulate`Place[2]}], Delimiter, {{$CellContext`ymin$$, -5, "Ymin"}, { 0, -2, -5, -10, -20, -50, -100, -500, -1000}, ImageSize -> 80}, {{$CellContext`ymax$$, 5, "Ymax"}, {2, 5, 10, 20, 50, 100, 500, 1000}, ImageSize -> 80}, {{$CellContext`dy$$, 1, "\[CapitalDelta]y"}, {1, 2, 5, 10, 20, 25, 50, 100}, ImageSize -> 80}, Delimiter, {{$CellContext`polar$$, False, "Polar Paper"}, { True, False}}, {{$CellContext`maxr$$, 5, "Radius"}, 1, 20, 1, ControlType -> Slider, ImageSize -> Tiny, ControlPlacement -> 3}, Row[{ Manipulate`Place[3], Dynamic[$CellContext`maxr$$]}], {{$CellContext`type$$, 1, "Angle Type:"}, {1 -> "Polar", 2 -> "Degree"}, ControlType -> RadioButtonBar}, {{$CellContext`d\[Theta]$$, 15 Degree, "\[CapitalDelta]\[Theta]"}, { 10 Degree -> "\!\(\*FractionBox[\(\[Pi]\), \ \(18\)]\)=\!\(\*SuperscriptBox[\(10\), \(o\)]\)", 15 Degree -> "\!\(\*FractionBox[\(\[Pi]\), \ \(12\)]\)=\!\(\*SuperscriptBox[\(15\), \(o\)]\)", 30 Degree -> "\!\(\*FractionBox[\(\[Pi]\), \(6\)]\)=\!\(\*SuperscriptBox[\(30\), \ \(o\)]\)", 45 Degree -> "\!\(\*FractionBox[\(\[Pi]\), \(4\)]\)=\!\(\*SuperscriptBox[\(45\), \ \(o\)]\)"}, ControlType -> PopupMenu, ImageSize -> 80}, {{$CellContext`dr$$, 1, "\[CapitalDelta]\[InvisibleSpace]r"}, { 1, 2, 3, 4, 5}, ControlType -> PopupMenu, ImageSize -> 80}, Delimiter, {{$CellContext`aspectrat$$, 1, "Aspect Ratio"}, { Automatic -> "Auto", 0.5, 1, 1.5, 2}, ControlType -> PopupMenu, ImageSize -> 80}, Delimiter, Button[ "Zoom Standard", {$CellContext`xmin$$, $CellContext`xmax$$, \ $CellContext`dx$$, $CellContext`ymin$$, $CellContext`ymax$$, \ $CellContext`dy$$, $CellContext`polar$$, $CellContext`gridlines$$, \ $CellContext`tickmarks$$, $CellContext`aspectrat$$} = {-10, 10, 1, -10, 10, 1, False, True, True, 1}], Button[ "Zoom Trig", {$CellContext`xmin$$, $CellContext`xmax$$, \ $CellContext`dx$$, $CellContext`ymin$$, $CellContext`ymax$$, \ $CellContext`dy$$, $CellContext`polar$$, $CellContext`gridlines$$, \ $CellContext`tickmarks$$, $CellContext`aspectrat$$} = {(-2) Pi, 2 Pi, Pi/ 4, -2, 2, 1, False, True, True, Automatic}], Button[ "Zoom Polar", {$CellContext`polar$$, $CellContext`maxr$$, \ $CellContext`type$$, $CellContext`dr$$, $CellContext`d\[Theta]$$, \ $CellContext`aspectrat$$, $CellContext`tickmarks$$} = { True, 8, 1, 1, 15 Degree, Automatic, True}], {{$CellContext`imgsz$$, 400, "Image Size"}, 100, 700, ImageSize -> Tiny, ControlType -> Slider}}, "Options" :> 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