Mathematica provides functions for the aesthetic drawing of graphs. Algorithms implemented include spring embedding, spring-electrical embedding, high-dimensional embedding, ...

MIME type: text/xml XML general-purpose markup language and structured document format. Primarily used for the exchange of data across different systems in computer networks. ...

ConditionalExpression[expr, cond] is a symbolic construct that represents the expression expr when the condition cond is True.

JacobiDS[u, m] gives the Jacobi elliptic function ds(u | m).

JacobiND[u, m] gives the Jacobi elliptic function nd(u | m).

JacobiSD[u, m] gives the Jacobi elliptic function sd(u | m).

While differential equations have three basic types—ordinary (ODEs), partial (PDEs), or differential-algebraic (DAEs), they can be further described by attributes such as ...

Orthogonal polynomials. Legendre polynomials LegendreP[n,x] arise in studies of systems with three-dimensional spherical symmetry. They satisfy the differential equation ...

Mathematica normally makes as few assumptions as possible about the objects you ask it to manipulate. This means that the results it gives are as general as possible. But ...

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 ...