Sentence examples for mappings which compose from inspiring English sources

Notice that all the mappings which compose the IFSs from that example are not Banach contractions.

The network settling process should then give high activations to nodes representing mappings which compose a good analogy, and low or negative activations to other nodes.

The subsequent definitions extend Definitions 3.1-3.2 3.1-3.2ving the necessity of the set inclusions ; and allowing obyaining of contremoving from the composed mappinecessitych are nof all necessarily conthectionsetrovinclusions;.

Other tools rely on handcrafting the schema mappings, which is not appealing at all.

The class of continuous affine mappings can be replaced by the class of affine mappings which are uniformly Lipschitzian with some constant M>1 in the case of c0, the class of affine mappings which are uniformly Lipschitzian with some constant M>6 in the case of quasi-reflexive James' space J and the class of nonexpansive affine mappings in the case of L-embedded spaces.

Specifically, we consider rotation-based linear mappings which are determined iteratively for Hermite polynomial expansions.

In particular it demonstrates the use of equations for defining abstraction mappings which reduce the state space of the system.

In this section, we investigate monotone mappings which are quasi-contraction mappings.

Nonexpansive mappings are those mappings which have Lipschitz constant equal to one.

There are some half-continuous mappings which are not continuous.

Further, there exist preinvex mappings which are not convex.