Chapter16Sec4ShowCode

Chapter16Sec4ShowCode - Initialization Cells (Code Needed...

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Unformatted text preview: Initialization Cells (Code Needed for Most Plot3D Statements) In[841]:= ticks @ min_, max_ D : = Join @ Table @8 i, If @ i 0, , Style @ i, 12 DD , 8 0.01, 0 << , 8 i, Ceiling @ min D , Floor @ max D , 2 <D , H * Numbered ticks * L Table @8 j, , 8 0.01, 0 << , 8 j, Round @ min D , Round @ max- 1 D , 1 <DD H * Un- numbered ticks * L H * 2D Options * L SetOptions @ Plot, ImageSize fi 350, AxesOrigin fi 8 0, 0 < , AspectRatio fi 1, AxesStyle fi Directive @ Medium, Bold D , Ticks fi ticks D ; SetOptions @ ParametricPlot, ImageSize fi 350, AxesOrigin fi 8 0, 0 < , AspectRatio fi 1, AxesStyle fi Directive @ Medium, Bold D , Ticks fi ticks D ; SetOptions @ VectorPlot, ImageSize fi 350, AxesOrigin fi 8 0, 0 < , AspectRatio fi 1, Frame fi False, Axes fi True, AxesStyle fi Directive @ Medium, Bold D , Ticks fi ticks D ; H * 3D Options * L SetOptions @ Plot3D, ImageSize fi 600, BoxRatios fi 1, Boxed fi False, AxesOrigin fi 8 0, 0, 0 < , AxesStyle fi Directive @ Medium, Bold D , Ticks fi ticks, Mesh fi None, ViewPoint fi 8 2, 0.9, 1 < , ViewVertical fi 8 0, 0, 1 < D ; SetOptions @ ContourPlot3D, ImageSize fi 600, BoxRatios fi 1, Boxed fi False, AxesOrigin fi 8 0, 0, 0 < , AxesStyle fi Directive @ Medium, Bold D , Ticks fi ticks, Mesh fi None, ViewPoint fi 8 2, 0.9, 1 < , ViewVertical fi 8 0, 0, 1 < D ; SetOptions @ ParametricPlot3D, ImageSize fi 600, BoxRatios fi 1, Boxed fi False, AxesOrigin fi 8 0, 0, 0 < , AxesStyle fi Directive @ Medium, Bold D , Ticks fi ticks, Mesh fi None, ViewPoint fi 8 2, 0.9, 1 < , ViewVertical fi 8 0, 0, 1 < D ; SetOptions @ RegionPlot3D, ImageSize fi 600, BoxRatios fi 1, Boxed fi False, AxesOrigin fi 8 0, 0, 0 < , AxesStyle fi Directive @ Medium, Bold D , Ticks fi ticks, Mesh fi None, ViewPoint fi 8 2, 0.9, 1 < , ViewVertical fi 8 0, 0, 1 < D ; SetOptions @ VectorPlot3D, ImageSize fi 350, AxesOrigin fi 8 0, 0 < , AspectRatio fi 1, BoxRatios fi 1, Axes fi True, AxesStyle fi Directive @ Medium, Bold D , Ticks fi ticks, ViewPoint fi 8 2, 0.9, 1 < , ViewVertical fi 8 0, 0, 1 < D ; Needs @ "CurvesGraphics6`" D 2 Chapter16Sec4.nb Chapter 16: Vector Calculus Chapter16Sec4.nb 3 Section 16.4: Greens Theorem Some Terminology Definition L A curve is called closed if its terminal point coincides with its initial point, that is, r H b L = r H a L . L A set D is open if for every point P D , there is a disk with center P that lies entirely in D . (In particlu- lar, D does not contain its boundary points.) L A set D is connected if for any two points in D , there is a path joining them that lies entirely in D . L A curve is called a simple curve if it doesnt intersect itself except, possibly, at the endpoints. L A simply-connected region is a connected region, D , such that every simple closed curve contained entirely in D encloses only points that are in D ....
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Chapter16Sec4ShowCode - Initialization Cells (Code Needed...

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