Matrix Inversion (Mathematica Tutorial)

Matrix inversion. Here is a simple 2×2 matrix. This gives the inverse of m. In producing this formula, Mathematica implicitly assumes that the determinant ad-bc is nonzero.

CholeskyDecomposition (Built-in Mathematica Symbol)

CholeskyDecomposition[m] gives the Cholesky decomposition of a matrix m.

WignerSemicircleDistribution (Built-in Mathematica Symbol)

WignerSemicircleDistribution[r] represents a Wigner semicircle distribution with radius r centered at the origin.WignerSemicircleDistribution[a, r] represents a Wigner ...

$PrePrint (Built-in Mathematica Symbol)

$PrePrint is a global variable whose value, if set, is applied to every expression before it is printed.

CornerFilter (Built-in Mathematica Symbol)

CornerFilter[image] computes a measure for the presence of a corner for each pixel in image and returns the result as an intensity image.CornerFilter[image, r] detects ...

Map a Function over a List (Mathematica How To)

Mathematica includes many powerful operations for working with lists. It is often desirable to map a function onto each individual element in a list. While listable functions ...

ToeplitzMatrix (Built-in Mathematica Symbol)

ToeplitzMatrix[n] gives the n*n Toeplitz matrix with first row and first column being successive integers.ToeplitzMatrix[{c_1, c_2, ..., c_n}] gives the Toeplitz matrix whose ...

Select (Built-in Mathematica Symbol)

Select[list, crit] picks out all elements e_i of list for which crit[e_i] is True. Select[list, crit, n] picks out the first n elements for which crit[e_i] is True.

EstimatorRegulator (Built-in Mathematica Symbol)

EstimatorRegulator[ss, {l, \[Kappa]}] constructs the feedback regulator for the StateSpaceModel object ss with estimator and feedback gain matrices l and \[Kappa], ...

Normalize (Built-in Mathematica Symbol)

Normalize[v] gives the normalized form of a vector v. Normalize[z] gives the normalized form of a complex number z.Normalize[expr, f] normalizes with respect to the norm ...