Sentence examples for equivalent characterization from inspiring English sources

(Equivalent characterization of such operator-valued functions are given).

The following equivalent characterization of (operatorname {RBMO}(mu)) was established in [28].

While J t) is a description in the time domain, G∗ is an equivalent characterization in the frequency domain.

We first present an important equivalent characterization for a tightly proper saddle point of the Lagrange map.

In 1935 Birkhoff provided an equivalent characterization of varieties as any class closed under quotients (homomorphic images), direct products, and subalgebras.

An equivalent characterization of p-connected graphs can be given in terms of p-chains, a natural analogue of paths in the context of usual connectedness of graphs.

This implies the equivalent characterizations of ({d_mathcal{M}}(mu, nu )) asserted here.

Moreover, upward directed IVF soft sets were introduced and some equivalent characterizations were presented.

Several equivalent characterizations of the independent sets of the induced matroid are obtained through rough sets.

Furthermore, we give a few new equivalent characterizations of amenability of F.

Then a new concept called upward directed interval-valued fuzzy soft sets is defined and some equivalent characterizations are presented.