FixedPoint (Built-in Mathematica Symbol)

FixedPoint[f, expr] starts with expr, then applies f repeatedly until the result no longer changes.

InterpolatingFunction (Built-in Mathematica Symbol)

InterpolatingFunction[domain, table] represents an approximate function whose values are found by interpolation.

PositiveDefiniteMatrixQ (Built-in Mathematica Symbol)

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

StirlingS2 (Built-in Mathematica Symbol)

StirlingS2[n, m] gives the Stirling number of the second kind \[ScriptCapitalS]_n^(m).

TransferFunctionPoles (Built-in Mathematica Symbol)

TransferFunctionPoles[tf] gives a matrix of roots of the denominators in the TransferFunctionModel object tf.

Nonlinear Second-Order ODEs (Mathematica Tutorial)

The general form of a nonlinear second-order ODE is For simplicity, assume that the equation can be solved for the highest-order derivative y^ ′′(x) to give There are a few ...

Is the Problem Well-Posed? (Mathematica Tutorial)

DSolve returns a general solution for a problem if no initial or boundary conditions are specified. The general solution to this equation is returned. However, if initial or ...

Abs (Built-in Mathematica Symbol)

Abs[z] gives the absolute value of the real or complex number z.

Numerical Integration (Mathematica Tutorial)

Numerical integration functions. This finds a numerical approximation to the integral ∫_(0)^∞ e^-x^3 x. Here is the numerical value of the double integral ∫_(-1)^1 dx ...

Session Customization (Mathematica Guide)

Mathematica allows almost every aspect of sessions to be customized, under full programmatic control.