SquaresR (Built-in Mathematica Symbol)

SquaresR[d, n] gives the number of ways r_d (n) to represent the integer n as a sum of d squares.

Introduction to Numerical Sums, ... (Mathematica Tutorial)

Numerical sums, products and integrals. Here is a numerical approximation to &sum;_(i=1)^∞((1)/(i^3)). NIntegrate can handle singularities in the integration region.

PowersRepresentations (Built-in Mathematica Symbol)

PowersRepresentations[n, k, p] gives the distinct representations of the integer n as a sum of k non-negative p\[Null]^th integer powers.

UniformSumDistribution (Built-in Mathematica Symbol)

UniformSumDistribution[n] represents the distribution of a sum of n random variables uniformly distributed from 0 to 1.UniformSumDistribution[n, {min, max}] represents the ...

DivisorSum (Built-in Mathematica Symbol)

DivisorSum[n, form] represents the sum of form[i] for all i that divide n.DivisorSum[n, form, cond] includes only those divisors for which cond[i] gives True.

Accumulate (Built-in Mathematica Symbol)

Accumulate[list] gives a list of the successive accumulated totals of elements in list.

Evaluation in Iteration Functions (Mathematica Tutorial)

The built-in Mathematica iteration functions such as Table and Sum evaluate their arguments in a slightly special way. When evaluating an expression like Table[f,{i,i_max}], ...

Total (Built-in Mathematica Symbol)

Total[list] gives the total of the elements in list. Total[list, n] totals all elements down to level n. Total[list, {n}] totals elements at level n. Total[list, {n_1, n_2}] ...

PolyaAeppliDistribution (Built-in Mathematica Symbol)

PolyaAeppliDistribution[\[Theta], p] represents a Polya\[Dash]Aeppli distribution with shape parameters \[Theta] and p.

TransformedDistribution (Built-in Mathematica Symbol)

TransformedDistribution[expr, x \[Distributed] dist] represents the transformed distribution of expr where the random variable x follows the distribution ...