PowerMod[a, b, m] gives a^b mod m. PowerMod[a, -1, m] finds the modular inverse of a modulo m.PowerMod[a, 1/r, m] finds a modular r\[Null]^th root of a.
CycleIndex[pg, x] returns the polynomial in x[1], x[2], ..., x[index[pg]] that is the cycle index of the permutation group pg. Here index[pg] refers to the length of each ...
KSubsetGroupIndex[g, s, x] returns the cycle index of the k-subset group on s expressed as a polynomial in x[1], x[2], .... This function also takes the optional argument ...
FunctionOfCoefficients[g] is a setting for the option FormatType that specifies the format g[c_0, c_1, ...] for an element, where c_0, c_1, ... are the coefficients in the ...
Mathematica incorporates the latest algorithms—some original to Wolfram Research—for evaluating mathematical constants to any number of digits of precision. For basic ...
PoincareSection is a setting for the option TrekGenerator that specifies that the Poincaré section for differential equations is used to generate treks.
MomentConvert[mexpr, form] converts the moment expression mexpr to the specified form.
BellB
(Built-in Mathematica Symbol) BellB[n] gives the Bell number B_n. BellB[n, x] gives the Bell polynomial B_n (x).
And
(Built-in Mathematica Symbol) e_1 && e_2 && ... is the logical AND function. It evaluates its arguments in order, giving False immediately if any of them are False, and True if they are all True.