Results 71 to 80 of about 1,105,937 (292)
On the Generalized Stabilities of Functional Equations via Isometries
The main goal of this research article is to investigate the stability of generalized norm-additive functional equations. This study demonstrates that these equations are Hyers-Ulam stable for surjective functions from an arbitrary group G to a real ...
Muhammad Sarfraz +3 more
doaj +1 more source
Lifting of the Vlasov-Maxwell Bracket by Lie-transform Method
The Vlasov-Maxwell equations possess a Hamiltonian structure expressed in terms of a Hamiltonian functional and a functional bracket. In the present paper, the transformation ("lift") of the Vlasov-Maxwell bracket induced by the dynamical reduction of ...
Brizard, A. J. +4 more
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On the associativity functional equation [PDF]
The author describes the class of continuous, nondecreasing, associative functions \(M:[a,b]^2 \to[a,b]\) such that \(M(a,a)=a\) and \(M(b,b)=b\), where \([a,b]\) is a bounded closed real interval. To this end the author surveys many known results of J. Aczél, C. H. Ling, B. Schweizer, A. Sklar, J. C. Fodor, E. Czogala, J. Drewniak, P. S. Mostert and A.
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Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes +4 more
wiley +1 more source
Orthogonal Stability and Solution of a Three-Variable Functional Equation in Extended Banach Spaces
This manuscript introduces a novel three-variable cubic functional equation and derives its general solution. Employing both the direct and fixed-point methods, we investigate the orthogonal stability of this equation within the frameworks of quasi-β ...
Jagjeet Jakhar +6 more
doaj +1 more source
The embedding problem in iteration theory
This is a survey paper on selected topics concerning the embeddability of given mappings in real flows. Particular attention will be paid to the relationship between the problem of the embeddability and functional equations.Let X be a
Zdun Marek Cezary
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Functional tetrahedron equation [PDF]
LaTeX, 16 ...
Kashaev, R. M. +2 more
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Tau acetylation at K331 has limited impact on tau pathology in vivo
We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto +3 more
wiley +1 more source
Functional characterization of generalized Langevin equations
We present an exact functional formalism to deal with linear Langevin equations with arbitrary memory kernels and driven by any noise structure characterized through its characteristic functional.
Abel N H +31 more
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Functional Equations for Polynomials [PDF]
The set of all continuous symmetric multilinear forms of degree m on a real topological vector space V are shown to be in one-to-one correspondence with the family of continuous scalar-valued functions on V satisfying a certain functional equation. If V is n-dimensional, these functions are precisely those which can be represented by m-homogeneous ...
McKennon, Kelly, Dearden, Bruce
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