UnitTriangle (Built-in Mathematica Symbol)

UnitTriangle[x] represents the unit triangle function on the interval |x| <= 1 .UnitTriangle[x_1, x_2, ...] represents the multidimensional unit triangle function on the ...

Monitoring and Selecting Algorithms (Mathematica Tutorial)

Functions in Mathematica are carefully set up so that you normally do not have to know how they work inside. But particularly for numerical functions that use iterative ...

StiffnessSwitching Method for NDSolve (Mathematica Tutorial)

The basic idea behind the "StiffnessSwitching" method is to provide an automatic means of switching between a nonstiff and a stiff solver. The "StiffnessTest" and ...

Setting Up Functions with Optional ... (Mathematica Tutorial)

When you define a complicated function, you will often want to let some of the arguments of the function be "optional". If you do not give those arguments explicitly, you ...

Beta (Built-in Mathematica Symbol)

Beta[a, b] gives the Euler beta function \[CapitalBeta](a, b). Beta[z, a, b] gives the incomplete beta function \[CapitalBeta]_z (a, b).

Cot (Built-in Mathematica Symbol)

Cot[z] gives the cotangent of z.

Csc (Built-in Mathematica Symbol)

Csc[z] gives the cosecant of z.

EllipticF (Built-in Mathematica Symbol)

EllipticF[\[Phi], m] gives the elliptic integral of the first kind F(\[Phi] \[VerticalSeparator] m).

EllipticK (Built-in Mathematica Symbol)

EllipticK[m] gives the complete elliptic integral of the first kind K(m).

EllipticTheta (Built-in Mathematica Symbol)

EllipticTheta[a, u, q] gives the theta function \[CurlyTheta]_a (u, q) (a = 1, ..., 4).