Mathematica applies its strengths in calculus to the intricacies of integral transforms, with a host of original algorithms that probably now reach almost any closed form ...

Mathematica provides broad coverage of both numeric and symbolic Fourier analysis, supporting all standard forms of Fourier transforms on data, functions, and sequences, in ...

Huge numerical datasets are routine for Mathematica. Its powerful array primitives make large-scale array manipulation both easy to specify and highly efficient. And its ...

In calculus even more than other areas, Mathematica packs centuries of mathematical development into a small number of exceptionally powerful functions. Continually enhanced ...

HeavisideLambda[x] represents the triangle distribution \[CapitalLambda](x) which is nonzero for |x| < 1.HeavisideLambda[x_1, x_2, ...] represents the multidimensional ...

Mathematica's highly optimized filtering capabilities provide a wide range of linear and modern nonlinear local filters, as well as a variety of nonlocal filters, which can ...

Mathematica 7 represents another major achievement in Mathematica's long history of innovation in mathematics and algorithms. Building on the broad capabilities of ...

FourierCosTransform[expr, t, \[Omega]] gives the symbolic Fourier cosine transform of expr. FourierCosTransform[expr, {t_1, t_2, ...}, {\[Omega]_1, \[Omega]_2, ...}] gives ...

FourierSinTransform[expr, t, \[Omega]] gives the symbolic Fourier sine transform of expr. FourierSinTransform[expr, {t_1, t_2, ...}, {\[Omega]_1, \[Omega]_2, ...}] gives the ...

Directly integrated into Mathematica's uniform architecture for handling lists of data is an array of highly optimized algorithms for transforming and smoothing datasets that ...