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三维拉普拉斯

Wolfram 语言中包含很多关于坐标系的信息. 以下为表示拉普拉斯创建的交互式表格，每个坐标系中使用标准坐标名称.

    
Wolfram Language code: systems = {{"BipolarCylindrical", {a}}, {"Bispherical", {a}}, "Cartesian", "CircularParabolic", {"Conical", {b, c}}, "Cylindrical", {"EllipticCylindrical", {a}}, {"OblateSpheroidal", {a}}, "ParabolicCylindrical", {"ProlateSpheroidal", {a}}, "Spherical", {"Toroidal", {a}}};
Wolfram Language code: Manipulate[Block[{f, vars = ToExpression /@ CoordinateChartData[{Coordinates, 3}, "StandardCoordinateNames"]}, Simplify@Laplacian[f@@vars, vars, {Coordinates}]], {{Coordinates, "Cartesian"}, systems}, FrameLabel -> "Famous 3D Laplacians"]