Ceiling (Built-in Mathematica Symbol)

Ceiling[x] gives the smallest integer greater than or equal to x. Ceiling[x, a] gives the smallest multiple of a greater than or equal to x.

FoldList (Built-in Mathematica Symbol)

FoldList[f, x, {a, b, ...}] gives {x, f[x, a], f[f[x, a], b], ...}.

HornerForm (Built-in Mathematica Symbol)

HornerForm[poly] puts the polynomial poly in Horner form.HornerForm[poly, vars] puts poly in Horner form with respect to the variable or variable list ...

Compute a Limit (Mathematica How To)

Even simple-looking limits are sometimes quite complicated to compute. Mathematica provides functionality to evaluate several kinds of limits.

FourierCoefficient (Built-in Mathematica Symbol)

FourierCoefficient[expr, t, n] gives the n\[Null]^th coefficient in the Fourier series expansion of expr.FourierCoefficient[expr, {t_1, t_2, ...}, {n_1, n_2, ...}] gives a ...

FourierTransform (Built-in Mathematica Symbol)

FourierTransform[expr, t, \[Omega]] gives the symbolic Fourier transform of expr. FourierTransform[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 ...

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 ...

TransferFunctionFactor (Built-in Mathematica Symbol)

TransferFunctionFactor[tf] factors the polynomial terms in the numerators and denominators of the TransferFunctionModel object tf.

Limit (Built-in Mathematica Symbol)

Limit[expr, x -> x_0] finds the limiting value of expr when x approaches x_0.