Mathematica has over 3000 built-in functions and other objects, all based on a single unified framework, and all carefully designed to work together, both in simple ...
AlgebraicNumber[\[Theta], {c_0, c_1, ..., c_n}] represents the algebraic number in the field \[DoubleStruckCapitalQ][\[Theta]] given by c_0 + c_1 \[Theta] + ... + c_n ...
BellY
(Built-in Mathematica Symbol) BellY[n, k, {x_1, ..., x n - k + 1}] gives the partial Bell polynomial Y n, k (x_1, ..., x n - k + 1). BellY[n, k, m] gives the generalized partial Bell polynomial of a ...
BooleanCountingFunction[k_max, n] represents a Boolean function of n variables that gives True if at most k_max variables are True.BooleanCountingFunction[{k}, n] represents ...
BooleanTable[bf] gives a list of truth values for all possible combinations of variable values supplied to the Boolean function bf.BooleanTable[expr, {a_1, a_2, ...}] gives a ...
Cashflow[{c_0, c_1, ..., c_n}] represents a series of cash flows occurring at unit time intervals.Cashflow[{c_0, c_1, ..., c_n}, q] represents cash flows occurring at time ...
DifferenceRoot[lde] represents a function that solves the linear difference equation specified by lde[a, n].
D
(Built-in Mathematica Symbol) D[f, x] gives the partial derivative \[PartialD]f/\[PartialD]x. D[f, {x, n}] gives the multiple derivative \[PartialD]^n f/\[PartialD]x^n. D[f, x, y, ...] differentiates f ...
EulerPhi[n] gives the Euler totient function \[Phi](n).
GatherBy[list, f] gathers into sublists each set of elements in list that gives the same value when f is applied.GatherBy[list, {f_1, f_2, ...}] gathers list into nested ...