When numerically solving Hamiltonian dynamical systems it is advantageous if the numerical method yields a symplectic map. If the Hamiltonian can be written in separable ...

Algebraic is now available as the newly added built-in Mathematica kernel function AlgebraicNumber. ToCommonField and ToNumberFieldElement are now available as the newly ...

ComponentMeasurements[m, " prop"] computes the values of property prop for each component of a label matrix m that consists of identical elements.ComponentMeasurements[image, ...

EllipticF[\[Phi], m] gives the elliptic integral of the first kind F(\[Phi] \[VerticalSeparator] m).

FindMaxValue[f, x] gives the value at a local maximum of f.FindMaxValue[f, {x, x_0}] gives the value at a local maximum of f, found by a search starting from the point x = ...

FindMinValue[f, x] gives the value at a local minimum of f.FindMinValue[f, {x, x_0}] gives the value at a local minimum of f, found by a search starting from the point x = ...

ParallelTry[f, {arg_1, arg_2, ...}] evaluates f[arg_i] in parallel, returning the first result received.ParallelTry[f, {arg_1, arg_2, ...}, k] returns a list of the first k ...

Simplify[expr] performs a sequence of algebraic and other transformations on expr, and returns the simplest form it finds. Simplify[expr, assum] does simplification using ...

Many calculations involve solving systems of linear equations. In many cases, you will find it convenient to write down the equations explicitly, and then solve them using ...

FullSimplify[expr] tries a wide range of transformations on expr involving elementary and special functions, and returns the simplest form it finds. FullSimplify[expr, assum] ...