Signature[list] gives the signature of the permutation needed to place the elements of list in canonical order.

# represents the first argument supplied to a pure function. # n represents the n\[Null]\[Null]^th argument.

StirlingS1[n, m] gives the Stirling number of the first kind S_n^(m).

SymletWavelet[] represents the Symlet wavelet of order 4.SymletWavelet[n] represents the Symlet wavelet of order n.

SyntaxInformation[f] gives information used to generate syntax coloring and other advisories when f[...] is entered as input.

VectorQ[expr] gives True if expr is a list or a one-dimensional SparseArray object, none of whose elements are themselves lists, and gives False otherwise. VectorQ[expr, ...

Lists are widely used in Mathematica, and there are many ways to construct them. Some explicit ways to construct lists. This gives a table of the first five powers of 2.

Functions for constructing matrices. This generates a 2×2 matrix whose i,j^th entry is a[i,j]. Here is another way to produce the same matrix.

Just as Mathematica allows you to define how expressions should be evaluated, so also it allows you to define how expressions should be formatted for output. The basic idea ...

If the given second-order ODE is inhomogeneous, DSolve applies the method of variation of parameters to return a solution for the problem. This solves an inhomogeneous linear ...