It is often useful to be able to detect and precisely locate a change in a differential system. For example, with the detection of a singularity or state change, the ...

Casoratian[{y_1, y_2, ...}, n] gives the Casoratian determinant for the sequences y_1, y_2, ... depending on n.Casoratian[eqn, y, n] gives the Casoratian determinant for the ...

Mathematica integrates many aspects of statistical data analysis, from getting and exploring data to building high-quality models and and deducing consequences. Mathematica ...

Version 6.0 pioneered the concept of complete structural integration of graphics—with graphics interleaving seamlessly into all input and output, and allowing immediate ...

Eigensystem[m] gives a list {values, vectors} of the eigenvalues and eigenvectors of the square matrix m. Eigensystem[{m, a}] gives the generalized eigenvalues and ...

Mathematica has three functions for generating pseudorandom numbers that are distributed uniformly over a range of values. Pseudorandom number generation. Generating tables ...

WorkingPrecision is an option for various numerical operations that specifies how many digits of precision should be maintained in internal computations.

MathML is an XML-based markup language for representing mathematics. It was developed by the W3C to provide an effective way to display math in web pages and facilitate the ...

RiemannSiegelTheta[t] gives the Riemann\[Dash]Siegel function \[CurlyTheta](t).

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 ...