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A presentation of the torus-equivariant quantum K-theory ring of flag manifolds of type A, Part II: quantum double Grothendieck polynomials
Published 2025-01-01“…In our previous paper, we gave a presentation of the torus-equivariant quantum K-theory ring $QK_{H}(Fl_{n+1})$ of the (full) flag manifold $Fl_{n+1}$ of type $A_{n}$ as a quotient of a polynomial ring by an explicit ideal. …”
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An Algorithm for Fuzzification of WordNets and its Application in Sentiment Analysis
Published 2024-03-01“…In this study, we present an algorithm for constructing fuzzy version of WLDs of any language, given a corpus of documents and a word-sense-disambiguation system of that language. A theoretical proof is also proposed for the validity of results of the proposed algorithm. …”
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Die 1983 Afrikaanse Bybelvertaling in die lig van huidige tendense en behoeftes
Published 2003-06-01“… At a symposium on current trends in Bible translation held in August 2001 it became clear that linguistic-based theories, which dominated translation work when the 1983 Afrikaans translation came on the scene, have been replaced by functionalist approaches and descriptive translation studies (DTS). …”
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A note on an application of discrete Morse theoretic techniques on the complex of disconnected graphs
Published 2025-06-01“…Robin Forman’s highly influential 2002 paper A User’s Guide to Discrete Morse Theory presents an overview of the subject in a very readable manner. …”
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Testing holographic entropy inequalities in 2 + 1 dimensions
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Rational Ruijsenaars-Schneider model with cosmological constant
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Reducing maladaptive behavior in neuropsychiatric disorders using network modification
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Vacuum amplitudes and time-like causal unitary in the loop-tree duality
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The difference vectors for convex sets and a resolution of the geometry conjecture
Published 2021-07-01“…The geometry conjecture, which was posed nearly a quarter of a century ago, states that the fixed point set of the composition of projectors onto nonempty closed convex sets in Hilbert space is actually equal to the intersection of certain translations of the underlying sets.In this paper, we provide a complete resolution of the geometry conjecture. Our proof relies on monotone operator theory. We revisit previously known results and provide various illustrative examples. …”
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Relatively bounded and compact perturbations of nth order differential operators
Published 1998-01-01“…A perturbation theory for nth order differential operators is developed. …”
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Security of differential phase shift QKD from relativistic principles
Published 2025-01-01“…The proof combines techniques from quantum information theory, quantum optics, and relativity. …”
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An application of the Sakai's theorem to the characterization of H*-algebras
Published 1995-01-01“…This proof completely avoids structure theory.…”
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Linkage Analysis between Solid-Fluid Coupling and the Strength Reduction Method for Karst Cave Water Inrush in Mines
Published 2020-01-01“…The conception for the safety factor of the water-proof rock pillar introduced, the relation of the safety factor, Karst cave water pressure, and thickness of the water-proof rock pillar are studied. …”
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A weak invariance principle and asymptotic stability for evolution equations with bounded generators
Published 1995-01-01“…In the case of a normal infinitesimal generator Z in a Hilbert space, strong asymptotic stability is proved under the following assumptions Z*+Z is weakly negative definite and Ker Z={0}. The proof is based on spectral theory.…”
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