$MachineEpsilon (Built-in Mathematica Symbol)

$MachineEpsilon gives the difference between 1.0 and the next-nearest number representable as a machine-precision number.

InverseEllipticNomeQ (Built-in Mathematica Symbol)

InverseEllipticNomeQ[q] gives the parameter m corresponding to the nome q in an elliptic function.

IVPs with Piecewise Coefficients (Mathematica Tutorial)

The differential equations that arise in modern applications often have discontinuous coefficients. DSolve can handle a wide variety of such ODEs with piecewise coefficients. ...

GeneralRationalInterpolation (Function Approximations Package Symbol)

GeneralRationalInterpolation[{f_x, f_y}, {t, m, n}, x, {t_1, ..., t m + n + 1}]] gives the rational polynomial function of x, with numerator order m and denominator order n, ...

ListCurvePathPlot (Built-in Mathematica Symbol)

ListCurvePathPlot[{{x_1, y_1}, {x_2, y_2}, ...}] plots a curve that corresponds to a smooth path through the specified points.

ModularLambda (Built-in Mathematica Symbol)

ModularLambda[\[Tau]] gives the modular lambda elliptic function \[Lambda](\[Tau]).

ConditionalExpression (Built-in Mathematica Symbol)

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

InverseFunction (Built-in Mathematica Symbol)

InverseFunction[f] represents the inverse of the function f, defined so that InverseFunction[f][y] gives the value of x for which f[x] is equal to y. InverseFunction[f, n, ...

StepMonitor (Built-in Mathematica Symbol)

StepMonitor is an option for iterative numerical computation functions that gives an expression to evaluate whenever a step is taken by the numerical method used.

EulerEquations (Variational Methods Package Symbol)

EulerEquations[f, u[x ], x] returns the Euler\[Dash]Lagrange differential equation obeyed by u[x] derived from the functional f, where f depends on the function u[x] and its ...