Standardize (Built-in Mathematica Symbol)

Standardize[list] shifts and rescales the elements of list to have zero mean and unit sample variance.Standardize[list, f_1] shifts the elements in list by f_1[list] and ...

Analysis of State-Space Models (Mathematica Guide)

Mathematica provides a complete set of functions needed to compute and verify the controllability and observability properties of linear systems, as well as advanced ...

Linear Systems (Mathematica Guide)

Mathematica incorporates the latest algorithms for solving industrial-scale linear systems, automatically switching between optimal dense and sparse algorithms—and handling ...

DiscreteRiccatiSolve (Built-in Mathematica Symbol)

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

Parts of Matrices (Mathematica Guide)

Mathematica provides several convenient methods for extracting and manipulating parts of matrices. The flexible [[ ]] (Part) and ;; (Span) syntaxes provide compact yet ...

Geometric Transforms (Mathematica Guide)

Mathematica's symbolic architecture and sophisticated mathematical capabilities allow it to take a uniquely high-level approach to geometric transformations—supporting ...

Take (Built-in Mathematica Symbol)

Take[list, n] gives the first n elements of list. Take[list, -n] gives the last n elements of list. Take[list, {m, n}] gives elements m through n of list. Take[list, seq_1, ...

ArrayPad (Built-in Mathematica Symbol)

ArrayPad[array, m] gives an array with m 0s of padding on every side. ArrayPad[array, m, padding] uses the specified padding.ArrayPad[array, {m, n}, ...] pads with m elements ...

The Limits of Mathematica (Mathematica Tutorial)

In just one Mathematica command, you can easily specify a calculation that is far too complicated for any computer to do. For example, you could ask for ...

Table (Built-in Mathematica Symbol)

Table[expr, {i_max}] generates a list of i_max copies of expr. Table[expr, {i, i_max}] generates a list of the values of expr when i runs from 1 to i_max. Table[expr, {i, ...