FourierSinTransform (Built-in Mathematica Symbol)

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

FourierTrigSeries (Built-in Mathematica Symbol)

FourierTrigSeries[expr, t, n] gives the n\[Null]^th-order Fourier trigonometric series expansion of expr in t.FourierTrigSeries[expr, {t_1, t_2, ...}, {n_1, n_2, ...}] gives ...

Numerical Evaluation of Sums and ... (Mathematica Tutorial)

Numerical sums and products. This gives a numerical approximation to ∑_(i=1)^∞((1)/(i^3+i!)). There is no exact result for this sum, so Mathematica leaves it in a symbolic ...

SeriesCoefficient (Built-in Mathematica Symbol)

SeriesCoefficient[series, n] finds the coefficient of the n\[Null]\[Null]^th-order term in a power series in the form generated by Series. SeriesCoefficient[f, {x, x_0, n}] ...

The Mathematica Compiler (Compiled Function Tools Guide)

The Mathematica compiler provides an important way both to speed up and to work with Mathematica computations. It does this by taking assumptions about the computations and ...

InverseFourierTransform (Built-in Mathematica Symbol)

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

LaplaceTransform (Built-in Mathematica Symbol)

LaplaceTransform[expr, t, s] gives the Laplace transform of expr. LaplaceTransform[expr, {t_1, t_2, ...}, {s_1, s_2, ...}] gives the multidimensional Laplace transform of ...

FourierSequenceTransform (Built-in Mathematica Symbol)

FourierSequenceTransform[expr, n, \[Omega]] gives the Fourier sequence transform of expr.FourierSequenceTransform[expr, {n_1, n_2, ...}, {\[Omega]_1, \[Omega]_2, ...}] gives ...

SignificanceLevel (Built-in Mathematica Symbol)

SignificanceLevel is an option to VarianceTest and similar functions that controls cutoffs for diagnostic tests as well as test conclusions.

Sign (Built-in Mathematica Symbol)

Sign[x] gives -1, 0, or 1 depending on whether x is negative, zero, or positive.