Music Package (Music Package Tutorial)

The functions defined in Music` allow you to make conversions between cents and hertz, and play scales in one of the common tuning systems, or in a user-specified tuning ...

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 ...

EllipticF (Built-in Mathematica Symbol)

EllipticF[\[Phi], m] gives the elliptic integral of the first kind F(\[Phi] \[VerticalSeparator] m).

ListInterpolation (Built-in Mathematica Symbol)

ListInterpolation[array] constructs an InterpolatingFunction object that represents an approximate function that interpolates the array of values given. ...

Quantile (Built-in Mathematica Symbol)

Quantile[list, q] gives the q\[Null]\[Null]^th quantile of list. Quantile[list, {q_1, q_2, ...}] gives a list of quantiles q_1, q_2, .... Quantile[list, q, {{a, b}, {c, d}}] ...

SchurDecomposition (Built-in Mathematica Symbol)

SchurDecomposition[m] yields the Schur decomposition for a numerical matrix m, given as a list {q, t} where q is an orthonormal matrix and t is a block upper-triangular ...

Inserting Data with Raw SQL (DatabaseLink Tutorial)

The SQL command INSERT inserts data into a database. An alternative is to use the Mathematica command SQLInsert, as described in "Inserting Data". If you find that the ...

GroebnerBasis (Built-in Mathematica Symbol)

GroebnerBasis[{poly_1, poly_2, ...}, {x_1, x_2, ...}] gives a list of polynomials that form a Gröbner basis for the set of polynomials poly_i. GroebnerBasis[{poly_1, poly_2, ...

HistogramDistribution (Built-in Mathematica Symbol)

HistogramDistribution[{x_1, x_2, ...}] represents the probability distribution corresponding to a histogram of the data values x_i.HistogramDistribution[{{x_1, y_1, ...}, ...

SymmetricReduction (Built-in Mathematica Symbol)

SymmetricReduction[f, {x_1, ..., x_n}] gives a pair of polynomials {p, q} in x_1, ..., x_n such that f == p + q, where p is the symmetric part and q is the ...