The features are derived from the contents of the documents, and the feature-document matrix describes data clusters of related documents.

Together with some colleagues, he published a collection of papers on how to use matrices to describe automata functions.

As it turns out, this matrix describes the shape of the autocorrelation measure as due to shifts in window location.

The upper triangular matrices describe the change of an infinitesimal perturbation from one local orthogonal frame to the next.

If the Hilbert space is finite-dimensional and an orthonormal basis has been chosen, then the operator A is self-adjoint if and only if the matrix describing A with respect to this basis is Hermitian, i.e. if it is equal to its own conjugate transpose.

A stochastic matrix describes a Markov chain over a finite state space S.

Based on the Markov chain, the matrix describes the likelihood of future states based on the milieu of present states.

Here, the matrix describes itself to Case, Gibson's reluctant cowboy hero: The matrix has its roots in primitive arcade games," said the voice-over, "in the early graphics programs and military experimentation with cranial jacks.

Although Longuet-Higgins' essential matrix satisfies a similar relationship, the essential matrix is a metric object pertaining to calibrated cameras, while the fundamental matrix describes the correspondence in more general and fundamental terms of projective geometry.

The matrix describes how a small change at the point propagates to the final point .