ReflectionMatrix (Built-in Mathematica Symbol)

ReflectionMatrix[v] gives the matrix that represents reflection of points in a mirror normal to the vector v.

VertexIndex (Built-in Mathematica Symbol)

VertexIndex[g, v] gives the integer index for the vertex v in the graph g.

LyapunovSolve (Built-in Mathematica Symbol)

LyapunovSolve[a, c] finds a solution x of the matrix Lyapunov equation a.x + x.a\[ConjugateTranspose] == c.LyapunovSolve[a, b, c] solves a.x + x.b == c.LyapunovSolve[{a, d}, ...

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 ...

AdjacencyMatrix (Graph Utilities Package Symbol)

AdjacencyMatrix[g] gives the SparseArray object representing the graph g.AdjacencyMatrix[g, n] gives the SparseArray object representing the graph g, adding additional ...

DeleteBorderComponents (Built-in Mathematica Symbol)

DeleteBorderComponents[image] replaces connected components adjacent to the border in a binary image image with background pixels.DeleteBorderComponents[m] replaces ...

Create Lists (Mathematica How To)

Lists are very important and general structures in Mathematica. They allow you to treat collections of all kinds of objects as a single entity. There are many ways to ...

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 ...

Correlation (Built-in Mathematica Symbol)

Correlation[v_1, v_2] gives the correlation between the vectors v_1 and v_2.Correlation[m] gives the correlation matrix for the matrix m.Correlation[m_1, m_2] gives the ...

Covariance (Built-in Mathematica Symbol)

Covariance[v_1, v_2] gives the covariance between the vectors v_1 and v_2.Covariance[m] gives the covariance matrix for the matrix m.Covariance[m_1, m_2] gives the covariance ...