GeneratingFunction[expr, n, x] gives the generating function in x for the sequence whose n\[Null]^th series coefficient is given by the expression ...

Listable is an attribute that can be assigned to a symbol f to indicate that the function f should automatically be threaded over lists that appear as its arguments.

TraditionalForm[expr] prints as an approximation to the traditional mathematical notation for expr.

Most of the documentation provided for Mathematica is concerned with explaining what Mathematica does, not how it does it. But the purpose of this is to say at least a little ...

The control mechanisms set up for NDSolve enable you to define your own numerical integration algorithms and use them as specifications for the Method option of NDSolve. ...

Numerical algorithms for constrained nonlinear optimization can be broadly categorized into gradient-based methods and direct search methods. Gradient search methods use ...

NResidue[expr, {z, z_0}] numerically finds the residue of expr near the point z = z_0.

ParallelTable[expr, {i_max}] generates in parallel a list of i_max copies of expr.ParallelTable[expr, {i, i_max}] generates in parallel a list of the values of expr when i ...

EvaluationMonitor is an option for various numerical computation and plotting functions that gives an expression to evaluate whenever functions derived from the input are ...

Just as normal and stable distributions are natural limit distributions when considering linear combinations such as means of independent variables, extreme value ...