JacobiND (Built-in Mathematica Symbol)

JacobiND[u, m] gives the Jacobi elliptic function nd(u | m).

JacobiSD (Built-in Mathematica Symbol)

JacobiSD[u, m] gives the Jacobi elliptic function sd(u | m).

Classification of Differential Equations (Mathematica Tutorial)

While differential equations have three basic types—ordinary (ODEs), partial (PDEs), or differential-algebraic (DAEs), they can be further described by attributes such as ...

Numerical Nonlinear Global Optimization ... (Mathematica Tutorial)

Here is one way to get multiple minima: call NMinimize multiple times with different random seeds, which will cause different optimization paths to be taken. This defines a ...

PermutationReplace (Built-in Mathematica Symbol)

PermutationReplace[expr, perm] replaces each part in expr by its image under the permutation perm.PermutationReplace[expr, gr] returns the list of images of expr under all ...

ScalingTransform (Built-in Mathematica Symbol)

ScalingTransform[{s_x, s_y, ...}] gives a TransformationFunction that represents scaling by a factor s_i along each coordinate axis from the origin.ScalingTransform[{s_x, ...

DiscreteWaveletTransform (Built-in Mathematica Symbol)

DiscreteWaveletTransform[data] gives the discrete wavelet transform (DWT) of an array of data.DiscreteWaveletTransform[data, wave] gives the discrete wavelet transform using ...

DiscreteRatio (Built-in Mathematica Symbol)

DiscreteRatio[f, i] gives the discrete ratio f(i + 1)/f(i).DiscreteRatio[f, {i, n}] gives the multiple discrete ratio.DiscreteRatio[f, {i, n, h}] gives the multiple discrete ...

EllipticLog (Built-in Mathematica Symbol)

EllipticLog[{x, y}, {a, b}] gives the generalized logarithm associated with the elliptic curve y^2 = x^3 + a x^2 + b x.

JacobiSN (Built-in Mathematica Symbol)

JacobiSN[u, m] gives the Jacobi elliptic function sn(u | m).