CarmichaelLambda (Built-in Mathematica Symbol)

CarmichaelLambda[n] gives the Carmichael function \[Lambda](n), defined as the smallest integer m such that k^m \[Congruent] 1 mod n for all k relatively prime to n.

DifferenceDelta (Built-in Mathematica Symbol)

DifferenceDelta[f, i] gives the discrete difference \[DifferenceDelta]_i f = f(i + 1) - f(i).DifferenceDelta[f, {i, n}] gives the multiple difference DifferenceDelta[f, {i, ...

Quotient (Built-in Mathematica Symbol)

Quotient[m, n] gives the integer quotient of m and n. Quotient[m, n, d] uses an offset d.

Working with Special Functions (Mathematica Tutorial)

Some common operations on special functions. Most special functions have simpler forms when given certain specific arguments. Mathematica will automatically simplify special ...

MomentConvert (Built-in Mathematica Symbol)

MomentConvert[mexpr, form] converts the moment expression mexpr to the specified form.

Urn Model Distributions (Mathematica Guide)

Urn models have a long history, starting with Laplace suggesting in 1786 that France's population be estimated by an urn-sampling scheme. They are conceptually relatively ...

BitNot (Built-in Mathematica Symbol)

BitNot[n] gives the bitwise NOT of the integer n.

SetSharedVariable (Built-in Mathematica Symbol)

SetSharedVariable[s_1, s_2, ...] declares the symbols s_i as shared variables whose values are synchronized among all parallel kernels.

VerifyConvergence (Built-in Mathematica Symbol)

VerifyConvergence is an option to Sum, NSum, and similar functions that specifies whether convergence checking should be done.

Limit (Built-in Mathematica Symbol)

Limit[expr, x -> x_0] finds the limiting value of expr when x approaches x_0.