Sentence examples for associated to the functional from inspiring English sources
In this section, we investigate the stability problem for -linear mappings associated to the functional inequality (1.2) on a restricted domain.
As an alternative a functional partial least squares logit regression model is proposed, that has as covariates a set of partial least squares components of the design matrix of the multiple logit model associated to the functional one.
In such a case we have (f'(t)=log t +1) and (nabla (f' varrho ))=frac{nabla varrho }{varrho }): this means that the gradient flow equation associated to the functional F would be the heat equation begin{aligned} partial _t varrho -Delta varrho =0.
Hence, functional specificities of the various Hsp70 proteins are likely to be associated to the functional properties of their C-terminal domains.
Starting with two representative languages from both settings, namely Curry and Likelog, we propose a hybrid dialect where a set of rewriting rules associated to the functional-logic dimension of the language, are accompanied with a set of similarity equations between symbols of the same nature and arity, which represents the fuzzy counterpart of the novel framework.
introduced in [12] we prove fuzzy version of the stability of ∗-derivations associated to the Cauchy functional equation and the Jensen functional equation.
Transient behavior might be characteristic, and, if common to a number of genes associated to the same functional group, might give insight into the function performed by the gene circuitry.
We have also proved the superstability of generalized derivations associated to the linear functional equation, where.
In Section 3, we investigate the superstability of generalized (ring) derivations associated to the linear functional equation (1.9).
We prove the generalized Hyers-Ulam stability of homomorphisms and generalized derivations associated to the following functional equation on Banach algebras.
The discretized coupled dynamic equation associated to the energy functional is solved in order to determine the vibratory and acoustic efficiency of the designed laminate.
