PiecewiseExpand (Built-in Mathematica Symbol)

PiecewiseExpand[expr] expands nested piecewise functions in expr to give a single piecewise function. PiecewiseExpand[expr, assum] expands piecewise functions using ...

ProductLog (Built-in Mathematica Symbol)

ProductLog[z] gives the principal solution for w in z == w e^w. ProductLog[k, z] gives the k\[Null]^th solution.

RiccatiSolve (Built-in Mathematica Symbol)

RiccatiSolve[{a, b}, {q, r}] gives the matrix x that is the stabilizing solution of the continuous algebraic Riccati equation ConjugateTranspose[a].x + x.a - ...

SymletWavelet (Built-in Mathematica Symbol)

SymletWavelet[] represents the Symlet wavelet of order 4.SymletWavelet[n] represents the Symlet wavelet of order n.

Gauss–Newton Methods (Mathematica Tutorial)

For minimization problems for which the objective function is a sum of squares, it is often advantageous to use the special structure of the problem. Time and effort can be ...

Hierarchical Clustering Package (Hierarchical Clustering Package Tutorial)

The function FindClusters finds clusters in a dataset based on a distance or dissimilarity function. This package contains functions for generating cluster hierarchies and ...

NProbability (Built-in Mathematica Symbol)

NProbability[pred, x \[Distributed] dist] gives the numerical probability for an event that satisfies the predicate pred under the assumption that x follows the probability ...

Termination Conditions (Mathematica Tutorial)

Mathematically, sufficient conditions for a local minimum of a smooth function are quite straightforward: x^* is a local minimum if ∇f(x^*)=0 and the Hessian ∇^2f(x^*) is ...

Clean Up Data Imported from a Website (Mathematica How To)

The connectivity and data-processing capabilities of Mathematica make it ideal for importing and analyzing data displayed on a website. In most cases, this is relatively ...

EllipticE (Built-in Mathematica Symbol)

EllipticE[m] gives the complete elliptic integral E(m). EllipticE[\[Phi], m] gives the elliptic integral of the second kind E(\[Phi] \[VerticalSeparator] m).