Sentence examples for maps which preserve from inspiring English sources

The following theorem characterizes all linear maps which preserve from to.

The associative flow rule is integrated using the exponential map which preserves the plastic incompressibility condition.

The result is a "conformal map," which preserves the shapes of objects like clusters of galaxies or clouds of asteroids and shows them with the same relative sizes they appear to have in the sky.

While an isometry from one metric space to another is a distance preserving map, a quasi-isometry is a map which preserves distances to within fixed linear bounds.

In general, assume that L, L ′ are posets with meets and η : L → L ′ is a set-theoretical map which preserves meets.

A gauge transformation of the metric is a map which preserves the metric up to a positive and smooth but otherwise arbitrary scalar factor or gauge function \(\lambda(x(p))\).

In this paper we determine all the bijective linear maps on the space of bounded observables which preserve a fixed moment or the variance.

A microsymmetry group \(G_{p}\), at \(p \in M\), of a metric structure, is a set of invertible, linear maps of the tangent space \(T(M_{p})\) onto itself, which preserve the infinitesimal distance function at \(p \in M\).

The linear function (2.7). is an isomorphism from onto, that is, it is a 1 − 1 mapping from onto which preserves the norm [37].

The representation (2.4). is a one-by-one mapping from onto which preserves the norm, where,, is the complete system in of eigenvectors of and an element of [38].

Right: The conformal model of hyperbolic space, which preserves angles but maps straight lines to circular arcs.