A plot of the solution given by DSolve can give useful information about the nature of the solution, for instance, whether it is oscillatory in nature. It can also serve as a ...

Functions that are specified by simple algebraic formulas tend to be such that when their input is changed only slightly, their output also changes only slightly. But ...

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

Even with "Newton methods" where the local model is based on the actual Hessian, unless you are close to a root or minimum, the model step may not bring you any closer to the ...

Once installed, MathLM starts running automatically by default each time the machine is rebooted. To start or stop MathLM manually, follow these instructions. It is assumed ...

A process is simply a Mathematica expression being evaluated. A processor is a parallel kernel that performs such evaluations. The command ParallelEvaluate discussed in the ...

Mathematica's built-in SparseArray function should be used to create tridiagonal matrices. Mathematica kernel's built-in sparse solver LinearSolve has replaced ...

The Notation Package allows you to extend Mathematica so it understands and functions correctly with new typeset notations. Typically, new notations are defined by ...

ExpressionToSymbolicMathML[expr] converts the Mathematica expression, expr, into a MathML-flavored SymbolicXML structure.

Mathematica provides hundreds of options to control every aspect of the construction and styling of graphics. The options are carefully designed to be both flexible and ...