The theory of graphons is ultimately connected with the so-called cut norm. In this paper, we approach norm topology via weak* (when considering a predual $L^{1}$-functions). We prove that sequence $W_1,W_2,W_3,\ldots$ converges in distance if and only have equality sets accumulation points limit all sequences $W_1',W_2',W_3',\ldots$ are weakly isomorphic to $W_1,W_2,W_3,\ldots$. further give s...

Importance Sampled Circuit Learning Ensembles (ISCLEs) is a novel analog circuit topology synthesis method that returns designertrustworthy circuits yet can apply to a broad range of circuit design problems including novel functionality. ISCLEs uses the machine learning technique of boosting, which does importance sampling of “weak learners” to create an overall circuit ensemble. In ISCLEs, the...

In a ring with an involution, we first present some necessary and sufficient conditions for the existence of $m$-weak group inverse expression. As application, prove that regular element $a$ is $(m+1)$-weak invertible if only $a^2a^{-}$ invertible, where $a^{-}$ inner $a$. The relevant results weak core inverses pseudocore are given. addition, new characterizations inverses, also investigate ma...

The main purpose of this study is to discuss the uniform boundednessprinciple in fuzzifying topological linear spaces. At first theconcepts of uniformly boundedness principle and fuzzy equicontinuousfamily of linear operators are proposed, then the relations betweenfuzzy equicontinuous and uniformly bounded are studied, and with thehelp of net convergence, the characterization of fuzzyequiconti...