Structure Matrices and Convolution ... (Mathematica Tutorial)

Constructing matrices with special shapes. This creates a matrix of 0s containing a radius 4 diamond of 1s. The result is a 9×9 matrix. The size of the matrix can be ...

Dynamic (Built-in Mathematica Symbol)

Dynamic[expr] represents an object that displays as the dynamically updated current value of expr. If the displayed form of Dynamic[expr] is interactively changed or edited, ...

Operator Input Forms (Mathematica Tutorial)

Characters that are not letters, letter-like forms, or structural elements are treated by Mathematica as operators. Mathematica has built-in rules for interpreting all ...

Audio Package (Audio Package Tutorial)

This package provides functions for the generation of standard waveforms and waveforms with user-specified spectra, the synthesis of amplitude and frequency modulated ...

LiftingWaveletTransform (Built-in Mathematica Symbol)

LiftingWaveletTransform[data] gives the lifting wavelet transform (LWT) of an array of data.LiftingWaveletTransform[data, wave] gives the lifting wavelet transform using the ...

MomentConvert (Built-in Mathematica Symbol)

MomentConvert[mexpr, form] converts the moment expression mexpr to the specified form.

Numerical Nonlinear Local Optimization (Mathematica Tutorial)

Numerical algorithms for constrained nonlinear optimization can be broadly categorized into gradient-based methods and direct search methods. Gradient search methods use ...

OrderDistribution (Built-in Mathematica Symbol)

OrderDistribution[{dist, n}, k] represents the k\[Null]^th-order statistics distribution for n observations from the distribution dist.OrderDistribution[{dist, n}, {k_1, k_2, ...

Quaternions Package (Quaternions Package Tutorial)

This package implements Hamilton's quaternion algebra. Quaternions have the form a+bi+cj+dk where a, b, c, and d are real numbers. The symbols i, j, and k are multiplied ...

Algebraic Number Fields (Mathematica Tutorial)

Mathematica provides representation of algebraic numbers as Root objects. A Root object contains the minimal polynomial of the algebraic number and the root number—an integer ...