Dimensions (Built-in Mathematica Symbol)

Dimensions[expr] gives a list of the dimensions of expr. Dimensions[expr, n] gives a list of the dimensions of expr down to level n.

OddQ (Built-in Mathematica Symbol)

OddQ[expr] gives True if expr is an odd integer, and False otherwise.

VectorAngle (Built-in Mathematica Symbol)

VectorAngle[u, v] gives the angle between the vectors u and v.

HermitianMatrixQ (Built-in Mathematica Symbol)

HermitianMatrixQ[m] tests whether m is a Hermitian matrix.

SymmetricMatrixQ (Built-in Mathematica Symbol)

SymmetricMatrixQ[m] tests whether m is a symmetric matrix.

PositiveDefiniteMatrixQ (Built-in Mathematica Symbol)

PositiveDefiniteMatrixQ[m] tests whether m is a positive definite matrix.

Statistics`DataManipulation` (Mathematica Compatibility Information)

Functionality in this package has been added to the built-in Mathematica kernel. CumulativeSums is replaced by Accumulate. Frequencies is replaced by Tally. BinCounts and ...

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 ...

Rigid Body Solvers (Mathematica Tutorial)

The equations of motion for a free rigid body whose center of mass is at the origin are given by the following Euler equations (see [MR99]). Two quadratic first integrals of ...

FindRoot (Built-in Mathematica Symbol)

FindRoot[f, {x, x_0}] searches for a numerical root of f, starting from the point x = x_0.FindRoot[lhs == rhs, {x, x_0}] searches for a numerical solution to the equation lhs ...