Fourier[list] finds the discrete Fourier transform of a list of complex numbers.

LinearSolve[m, b] finds an x which solves the matrix equation m.x == b. LinearSolve[m] generates a LinearSolveFunction[...] which can be applied repeatedly to different b.

KarhunenLoeveDecomposition[{a_1, a_2, ...}] gives the Karhunen\[Dash]Loeve transform {b_1, b_2, ...} of the numerical arrays {a_1, a_2, ...} and the transformation matrix m, ...

Converting from strings or boxes to expressions. This takes a string and interprets it as an expression. Here is the box structure corresponding to the textual form of an ...

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

Mathematica provides built-in support for both programmatic and interactive image processing, fully integrated with Mathematica's powerful mathematical and algorithmic ...

MarginalDistribution[dist, k] represents a univariate marginal distribution of the k\[Null]^th coordinate from the multivariate distribution dist.MarginalDistribution[dist, ...

OverscriptBox[x, y] is the low-level box representation for OverscriptBox[x, y] in notebook expressions.

StringInsert["string", " snew", n] yields a string with " snew" inserted starting at position n in " string". StringInsert["string", " snew", -n] inserts at position n from ...

NExpectation[expr, x \[Distributed] dist] gives the numerical expectation of expr under the assumption that x follows the probability distribution dist.NExpectation[expr, ...