Sentence examples for equivalence via from inspiring English sources

These associated entities are declared with equivalence (via "equivalent class" or "same individual" axioms).

The equivalence via Lemma 2.3 and Proposition 3.2 directly leads in general to a banded symmetric matrix with larger bandwidth.

In this paper we will show rigorously their full equivalence via the construction of modified equation of two-level finite difference schemes around any wave number only in terms of the amplification factor used in the von Neumann analysis.

In this paper we present a novel design of a unified variational framework for both time continuous and discontinuous integration operators and also discuss in particular their equivalence via their respective spectral properties.

On the second issue, a semi-supervised spectral clustering algorithm is developed by exploring the equivalence relation via combining the nonnegative matrix factorization and spectral clustering.

Hence, we can safely define the transition probabilities between equivalence classes via P([ s]|[ s′]) = P([ s]| s′).

Hence, we can safely define the single slot likelihood given an equivalence class via P (x i |[ s ]) = P (x | s ).

Hence, we can safely define the single-slot likelihood given an equivalence class via P(x i |[ s]) = P(x i | s).

The likelihood is computed for one representative of each equivalence class via (3) where the prior for a class [ s] is the sum over the priors of its constituent states, namely, P([ s]) = ∑ s ∈[ s ] P s).

To demonstrate therapeutic equivalence of terbutaline via two different Turbuhaler® devices by evaluating its protective effect against methacholine-induced bronchoconstriction in stable asthma.

Although one can make room for types within set theory via equivalence classes or isomorphism types in general, the basic criterion of identity within that framework is given by the axiom of extensionality and thus, ultimately, reference is made to specific sets.