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| View Original: | Vector Field on a Sphere.png (1200x1200) | |||
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| Keywords: Vector Field on a Sphere.png en The vector field represented by <math> \mathbf f 2x \hat \mathbf x + y 2 \hat \mathbf y + z 2 \hat \mathbf z </math> plotted over the unit sphere Vectos have been uniformly scaled down to 0 2 times their original length for aesthetics Originally created as an image for the example problem on the divergence theorem page to replace the less relevant image here 2011-11-05 own Glosser ca Mathematica 7 0 Source <pre> scaling 0 2; stepSize 1/10; makeVectorsdata_ f_ Map Arrowheads0 01 Arrow + scaling f data upperHemix_ y_ Sqrt1 - x 2 - y 2 lowerHemix_ y_ -Sqrt1 - x 2 - y 2 fx_ y_ z_ 2 x y 2 z 2 upperPoints FlattenTable x y upperHemix y x -1 1 stepSize y -Sqrt1 - x 2 Sqrt1 - x 2 stepSize 1 ; lowerPoints FlattenTable x y lowerHemix y x -1 1 stepSize y -Sqrt1 - x 2 Sqrt1 - x 2 stepSize 1; upperVectors makeVectorsupperPoints f; lowerVectors makeVectorslowerPoints f; Graphics3D Opacity0 8 Sphere Opacity0 7 upperVectors~Join~lowerVectors ViewPoint -> Back Top Axes -> True AxesLabel -> x y z LabelStyle -> DirectiveLarge ImageSize -> 1200 1200 </pre> Uploaded with UploadWizard Vector fields | ||||
