Minimization and Maximization (Mathematica Tutorial)

Minimization and maximization. Minimize and Maximize yield lists giving the value attained at the minimum or maximum, together with rules specifying where the minimum or ...

Differential Equations (Mathematica Guide)

Automatically selecting between hundreds of powerful and in many cases original algorithms, Mathematica provides both numerical and symbolic solving of differential equations ...

CumulantGeneratingFunction (Built-in Mathematica Symbol)

CumulantGeneratingFunction[dist, t] gives the cumulant generating function for the symbolic distribution dist as a function of the variable t. ...

FactorialMomentGeneratingFunction (Built-in Mathematica Symbol)

FactorialMomentGeneratingFunction[dist, t] gives the factorial moment generating function for the symbolic distribution dist as a function of the variable t. ...

InverseGudermannian (Built-in Mathematica Symbol)

InverseGudermannian[z] gives the inverse Gudermannian function gd -1 (z).

MomentGeneratingFunction (Built-in Mathematica Symbol)

MomentGeneratingFunction[dist, t] gives the moment generating function for the symbolic distribution dist as a function of the variable t. MomentGeneratingFunction[dist, ...

LibraryLoad (Built-in Mathematica Symbol)

LibraryLoad[lib] loads the dynamic library lib into the Mathematica runtime.

MoebiusMu (Built-in Mathematica Symbol)

MoebiusMu[n] gives the Möbius function \[Mu](n).

DirichletL (Built-in Mathematica Symbol)

DirichletL[k, j, s] gives the Dirichlet L-function L(\[Chi], s) for the Dirichlet character \[Chi](n) with modulus k and index j.

WeierstrassHalfPeriods (Built-in Mathematica Symbol)

WeierstrassHalfPeriods[{g_2, g_3}] gives the half-periods {\[Omega], \[Omega]^\[Prime]} for Weierstrass elliptic functions corresponding to the invariants {g_2, g_3}.