Reap[expr] gives the value of expr together with all expressions to which Sow has been applied during its evaluation. Expressions sown using Sow[e] or Sow[e, tag_i] with ...

Mathematica does operations like numerical integration very differently from the way it does their symbolic counterparts. When you do a symbolic integral, Mathematica takes ...

WorkingPrecision is an option for various numerical operations that specifies how many digits of precision should be maintained in internal computations.

Mathematica has a general mechanism for handling messages generated during computations. Many built-in Mathematica functions use this mechanism to produce error and warning ...

OpenCLMemoryLoad[list] loads list into OpenCLMemory manager, returning an OpenCLMemory.OpenCLMemoryLoad[list, type] loads list with specified type into OpenCLMemory manager, ...

Syntax of notation declarations. Notation takes both an external representation and an internal representation as arguments. Mathematica translates any input matching the ...

CountryData["tag", " property"] gives the value of the specified property for the country, country-like entity, or group of countries specified by " tag".CountryData["tag", ...

Eigenvectors[m] gives a list of the eigenvectors of the square matrix m. Eigenvectors[{m, a}] gives the generalized eigenvectors of m with respect to a. Eigenvectors[m, k] ...

Many differential equations exhibit some form of stiffness, which restricts the step size and hence effectiveness of explicit solution methods. A number of implicit methods ...

Mathematica provides access to information on infinite families of groups, as well as sporadic groups of relevance, like the famous 26 sporadic simple groups (27 if the Tits ...