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.

KroneckerSymbol (Built-in Mathematica Symbol)

KroneckerSymbol[n, m] gives the Kronecker symbol (n/m).

Evaluation of Expressions (Mathematica Overview)

Principles of Evaluation Reducing Expressions to Their Standard Form Attributes

FromDigits (Built-in Mathematica Symbol)

FromDigits[list] constructs an integer from the list of its decimal digits. FromDigits[list, b] takes the digits to be given in base b. FromDigits["string"] constructs an ...

New in 8.0: Systems Interfaces & ... (Mathematica Guide)

Version 8.0 introduces new features to load functions from shared libraries, giving a new way to incorporate external code into Mathematica. It also adds support for GPU ...

EllipticExpPrime (Built-in Mathematica Symbol)

EllipticExpPrime[u, {a, b}] gives the derivative of EllipticExp[u, {a, b}] with respect to u.

Summation of Series (Mathematica Tutorial)

Evaluating sums. Mathematica recognizes this as the power series expansion of e^x. This sum comes out in terms of a Bessel function.

Divisors (Built-in Mathematica Symbol)

Divisors[n] gives a list of the integers that divide n.

MatrixExp (Built-in Mathematica Symbol)

MatrixExp[m] gives the matrix exponential of m. MatrixExp[m, v] gives the matrix exponential of m applied to the vector v.

Design Using State-Space Models (Mathematica Guide)

Mathematica provides powerful functions to compute state-feedback and estimator gains using pole-placement or optimal techniques. In addition, it has functions that directly ...