Derivatives in Mathematica work essentially the same as in standard mathematics. The usual mathematical notation, however, often hides many details. To understand how ...

Prime::largp PrimePi::largp ZetaZero::largp

Because GPUs are SIMD machines, to exploit CUDA's potential you must pose the problem in an SIMD manner. Computation that can be partitioned in such a way that each thread ...

When fitting data to a model, it is often important to obtain additional results to compare the data to the fitted function. You may wish to check the significance of ...

Diagnostics are an important part of analyzing models of data. Plots of residuals and leverage or influence measures provide valuable insight into whether assumptions of the ...

Do[expr, {i_max}] evaluates expr i_max times. Do[expr, {i, i_max}] evaluates expr with the variable i successively taking on the values 1 through i_max (in steps of 1). ...

StringCases["string", patt] gives a list of the substrings in " string" that match the string expression patt. StringCases["string", lhs -> rhs] gives a list of the values of ...

GroebnerBasis[{poly_1, poly_2, ...}, {x_1, x_2, ...}] gives a list of polynomials that form a Gröbner basis for the set of polynomials poly_i. GroebnerBasis[{poly_1, poly_2, ...

DistributeDefinitions[s_1, s_2, ...] distributes all definitions for the symbols s_i to all parallel kernels.DistributeDefinitions["context"] distributes definitions for all ...

Simplify[expr] performs a sequence of algebraic and other transformations on expr, and returns the simplest form it finds. Simplify[expr, assum] does simplification using ...