Results 21 to 30 of about 5,067 (215)
The Completion of Generalized 2-Inner Product Spaces
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 A complete metric space is a well-known concept. Kreyszig shows that every non-complete metric space can be developed into a complete metric space , referred to as completion of . We use the b-Cauchy sequence to form which “is the set of all b-Cauchy
Safa L. Hamad, Zeana Z. Jamil
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On the dynamics of the quantum states set for a system with degenerated Hamiltonian
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 We study the sequence of regularizing Cauchy problem as the elliptic regularization of Cauchy problem for Schrodinger equation with discontinuous and degenerated coefficients.
V. Zh. Sakbaev
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New Convergence Definitions for Sequences of Sets
Abstract and Applied Analysis, 2013 Several notions of convergence for subsets of metric space appear in the literature. In this paper, we define Wijsman -convergence and Wijsman -convergence for sequences of sets and establish some basic theorems.
Ömer Kişi, Fatih Nuray
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On unitary extensions and unitary completions of topological monoids
Topological Algebra and its Applications, 2016 The concept of a unitary Cauchy net in an arbitrary Hausdorff topological monoid generalizes the concept of a fundamental sequence of reals. We construct extensions of this monoid where all its unitary Cauchy nets converge.
Averbukh Boris G.
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On Principal Fuzzy Metric Spaces
Mathematics, 2022 In this paper, we deal with the notion of fuzzy metric space (X,M,∗), or simply X, due to George and Veeramani. It is well known that such fuzzy metric spaces, in general, are not completable and also that there exist p-Cauchy sequences which are not ...
Valentín Gregori +3 more
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A new study on the strongly lacunary quasi Cauchy sequences
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 In this paper, the concept ofan -quasi-Cauchysequence is introduced. We proved interesting theorems related to -quasi-Cauchysequences. A real valued function defined on a subset of , the set of real numbers, is -ward continuous on if it preserves -quasi ...
Huseyin Cakalli, Hüseyin Kaplan
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Engineering and Technology Journal, 2011 In this paper we introduce a new definition of a fuzzy normed space (to the best of our knowledge) then the related concepts such as fuzzy continuous, convergence of sequence of fuzzy points and Cauchy sequence of fuzzy points are discussed in details.
Jehad R. Kider
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Completeness results for metrized rings and lattices [PDF]
Categories and General Algebraic Structures with Applications, 2019 The Boolean ring $B$ of measurable subsets of the unit interval, modulo sets of measure zero, has proper radical ideals (for example, $\{0\})$ that are closed under the natural metric, but has no prime ideal closed under that metric; hence closed radical
George Bergman
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On Ideal Convergence in Generalized Metric Spaces
Dera Natung Government College Research Journal, 2023 Our main goal in this paper is to introduce the concept of ideal convergence in G-metric spaces. We give definitions of GI-convergence and GI*-convergence in G-metric spaces. We also extend the I-convergence concept's properties to GI-convergence.
Saime Kolancı, Mehmet Gurdal
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Atomic Layer Deposition of Metallic Molybdenum Dioxide Thin Films Enabling High‐k Rutile Capacitors
Advanced Materials Interfaces, EarlyView.The first direct atomic layer deposition (ALD) process of molybdenum dioxide (MoO2) thin films is reported using molybdenum(II) acetate dimer (Mo2(OAc)4) and oxygen (O2) as precursors at 235°C–275°C. The films are crystalline, exceptionally pure, and conductive.
Alexey Ganzhinov +8 more
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