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At the present paper, the new concepts of fuzzy quasi norm, fuzzy Banach space, fuzzy quasi continuity and fuzzy quasi boundedness is introduced. Furthermore, we define the fuzzy quasi operator norm and also it is shown that the s...
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At the present paper, the new concepts of fuzzy quasi norm, fuzzy Banach space, fuzzy quasi continuity and fuzzy quasi boundedness is introduced. Furthermore, we define the fuzzy quasi operator norm and also it is shown that the set all of fuzzy quasi bounded operator from X to Y is fuzzy quasi Banach space. Finally, we have introduced and investigated some notions and some results on *-algebra theory.
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The authors study quasi-uniformities that are generated by a family of weightable quasi-pseudometrics. Each totally bounded quasi-uniformity is of this kind. In some sense, which is described in this article, a weightable quasi-un...
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The authors study quasi-uniformities that are generated by a family of weightable quasi-pseudometrics. Each totally bounded quasi-uniformity is of this kind. In some sense, which is described in this article, a weightable quasi-uniformity is fairly symmetric, with the associated weights generating small symmetrizers.
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In this article, a new class of quasi-orthogonal filters, based on the Legendre and Malmquist-type quasi-orthogonal polynomials, is presented. These filters are generators of quasi-orthogonal functions for which we derive and pres...
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In this article, a new class of quasi-orthogonal filters, based on the Legendre and Malmquist-type quasi-orthogonal polynomials, is presented. These filters are generators of quasi-orthogonal functions for which we derive and present all important properties and relations. Our article is based on the classical theory of orthogonality and orthogonal functions, and also on new results in this field of mathematics. Based on theoretical results, we design schemes for the realisation of these filters. Finally, a trail quasi-orthogonal filter is practically realised and its quasi-orthogonality is proven by performing experiments. Quasi-orthogonal filters can be successfully used for signal approximation as well as for modelling, identification, analysis, synthesis and simulation of dynamical systems.
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摘要 :In this paper we give some examples of a quasi Einstein manifold (QE)n. Next we prove the existence of (QE)n manifolds. Then we study some properties of a quasi Einstein manifold. Finally the hypersurfaces of a Euclidean space hav...
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In this paper we give some examples of a quasi Einstein manifold (QE)n. Next we prove the existence of (QE)n manifolds. Then we study some properties of a quasi Einstein manifold. Finally the hypersurfaces of a Euclidean space have been studied.
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We prove that a compact-valued multifunction F: X ?? Y a?? Z, where X is a Baire space and Y, Z are separable metrizable spaces, is quasi-continuous if and only if F is horizontally quasi-continuous and there exists an residual su...
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We prove that a compact-valued multifunction F: X ?? Y a?? Z, where X is a Baire space and Y, Z are separable metrizable spaces, is quasi-continuous if and only if F is horizontally quasi-continuous and there exists an residual subset M of X such that for any x a?? M the multifunction Fx = F(x, ?·) is quasi-continuous on Y.
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If the form of the distribution of data is unknown, the Bayesian method fails in the parametric inference because there is no posterior distribution of the parameter. In this paper, a theoretical framework of Bayesian likelihood i...
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If the form of the distribution of data is unknown, the Bayesian method fails in the parametric inference because there is no posterior distribution of the parameter. In this paper, a theoretical framework of Bayesian likelihood is introduced via the Hilbert space method, which is free of the distributions of data and the parameter. The posterior distribution and posterior score function based on given inner products are defined and, consequently, the quasi posterior distribution and quasi posterior score function are derived, respectively, as the projections of the posterior distribution and posterior score function onto the space spanned by given estimating functions. In the space spanned by data, particularly, an explicit representation for the quasi posterior score function is obtained, which can be derived as a projection of the true posterior score function onto this space. The methods of constructing conservative quasi posterior score and quasi posterior log-likelihood are proposed. Some examples are given to illustrate the theoretical results. As an application, the quasi posterior distribution functions are used to select variables for generalized linear models. It is proved that, for linear models, the variable selections via quasi posterior distribution functions are equivalent to the variable selections via the penalized residual sum of squares or regression sum of squares.
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In this paper, we introduce the concept of fuzzy r-quasi open sets which are generalizations of fuzzy r-open sets, and obtain some basic properties of such fuzzy sets. Also we introduce and study the concepts of fuzzy r-quasi cont...
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In this paper, we introduce the concept of fuzzy r-quasi open sets which are generalizations of fuzzy r-open sets, and obtain some basic properties of such fuzzy sets. Also we introduce and study the concepts of fuzzy r-quasi continuous mapping and fuzzy r-quasi open(closed) mapping.
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The concepts of fuzzy quasi continuous, fuzzy almost-quasi continuous, fuzzy weakly-quasi continuous and fuzzy rarely-quasi continuous functions are introduced and studied in light of the concept of q -coincidence in a fuzzy setti...
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The concepts of fuzzy quasi continuous, fuzzy almost-quasi continuous, fuzzy weakly-quasi continuous and fuzzy rarely-quasi continuous functions are introduced and studied in light of the concept of q -coincidence in a fuzzy setting. Furthermore two new definitions which are named fuzzy rarely almost-quasi continuous and fuzzy rarely weakly quasi continuous are given such that they are more stronger than fuzzy rarely quasi continuity. Finally, comparative study regarding the mutual interrelations among these maps along with fuzzy continuous maps is made.
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We try to characterize q.m.p. using quasi-eigenfunctions and generating Markov partitions. As a result we get some examples of processes which are not q.m.p. and an example of a process satisfying some weaker conditions, than the ...
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We try to characterize q.m.p. using quasi-eigenfunctions and generating Markov partitions. As a result we get some examples of processes which are not q.m.p. and an example of a process satisfying some weaker conditions, than the quasi-Markovian one.
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