Curl[f] gives the curl, \[Del]*f, of the vector field f in the default coordinate system. Curl[f, coordsys] gives the curl of f in the coordinate system coordsys.

Div[f] gives the divergence, \[Del]\[CenterDot]f, of the vector field f in the default coordinate system. Div[f, coordsys] gives the divergence of f in the coordinate system ...

Grad[f] gives the gradient, \[Del]f, of the scalar function f in the default coordinate system. Grad[f, coordsys] gives the gradient of f in the coordinate system coordsys.

Laplacian[f] gives the Laplacian, \[Del]^2 f, of the scalar function or vector field f in the default coordinate system. Laplacian[f, coordsys] gives the Laplacian of f in ...

ScaleFactors[pt] gives a list of the scale factors at the point pt in the default coordinate system. ScaleFactors[pt, coordsys] gives a list of the scale factors in the ...

RawXML["string"] represents a raw string fragment of XML that can be used inside a SymbolicXML expression.

SymbolicXMLErrors[expr] returns a list of part specifications indicating where there are errors in the SymbolicXML expression expr and a message about the nature of each ...

Combining a new level of programmatic support for symbolic color with carefully chosen aesthetic color parametrizations, Mathematica allows a uniquely flexible and compelling ...

Mathematica has been used to make many important discoveries in discrete mathematics over the past two decades. Its integration of highly efficient and often original ...

Graphs are first-class citizens in Mathematica, and can be used as input, output, in programs, and in documents. Undirected and directed graphs are treated uniformly and ...