Results 1 to 10 of about 75,051 (263)
Semantic Channel Capacity of Rayleigh Fading Channels Based on Synonymous Mapping [PDF]
EntropyClassical information theory (CIT) characterizes the transmission limit for communication systems under syntactic accuracy, whereas semantic information theory (SIT) studies communication from the perspective of semantic fidelity induced by synonymous ...
Yuxin Han +5 more
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Cost-effective non-additive GWAS across 2329 diseases in 500,349 individuals [PDF]
Nature CommunicationsDrug candidates supported by genetic evidence are more likely to succeed in clinical trials, with genome-wide association studies (GWAS) providing a key source of such evidence. Standard GWAS approaches assume additive effects of alleles on the phenotype,
Ivan Molotkov +5 more
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On a $$\rho $$-Orthogonally Additive Mappings [PDF]
Results in Mathematics, 2020 AbstractWe show that a real normed linear space endowed with the$$\rho $$ρ-orthogonality relation, in general need not be an orthogonality space in the sense of Rätz. However, we prove that$$\rho $$ρ-orthogonally additive mappings defined on some classical Banach spaces have to be additive.
Chmieliński, Jacek +2 more
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On a sum form functional equation emerging from statistics and its applications
Results in Nonlinear Analysis, 2021 In this paper, we obtain the general solutions of a sum form functional equation arising from the expected value of a discrete random variable. The significance of its general solutions in reference to entropies emerging from information theory and ...
Dhiraj Kumar Singh, Shveta Grover
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On the stability of a multiplicative type sum form functional equation
Ratio Mathematica, 2021 In this paper we intend to discuss the stability of a sum form functional equation \begin{align*} \sum\limits\limits^n_{i=1}\sum\limits\limits^m_{j=1}f\left(p_iq_j\right)=\sum\limits\limits^n_{i=1}k\left(p_i\right)\sum\limits\limits^m_{j=1}q^{\beta }_j ...
Surbhi Madan +2 more
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A system of additive functional equations in complex Banach algebras
Demonstratio Mathematica, 2023 In this article, we solve the system of additive functional equations: 2f(x+y)−g(x)=g(y),g(x+y)−2f(y−x)=4f(x)\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{l}2f\left(x+y)-g\left(x)=g(y),\\ g\left(x+y)-2f(y-x)=4f\left(x)\end{array}\right.
Paokanta Siriluk +3 more
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Mapping Spatially Varying Additive Biases in Cosmic Shear Data
The Open Journal of Astrophysics, 2021 In this paper we address the challenge of extracting maps of spatially varying unknown additive biases from cosmic shear data. This is done by exploiting the isotropy of the cosmic shear field, and the anisotropy of a typical additive bias field, using ...
Thomas D. Kitching +2 more
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On Symmetric Additive Mappings and Their Applications
Symmetry, 2023 The key motive of this paper is to study symmetric additive mappings and discuss their applications. The study of these symmetric mappings makes it possible to characterize symmetric n-derivations and describe the structure of the quotient ring S/P, where S is any ring and P is a prime ideal of S.
Shakir Ali +3 more
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Characterization and Stability of Multimixed Additive-Quartic Mappings: A Fixed Point Application
Journal of Function Spaces, 2021 In this article, we introduce the multi-additive-quartic and the multimixed additive-quartic mappings. We also describe and characterize the structure of such mappings. In other words, we unify the system of functional equations defining a multi-additive-
Abasalt Bodaghi +3 more
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Stability of Bi-Additive Mappings and Bi-Jensen Mappings [PDF]
Symmetry, 2021 Symmetry is repetitive self-similarity. We proved the stability problem by replicating the well-known Cauchy equation and the well-known Jensen equation into two variables. In this paper, we proved the Hyers-Ulam stability of the bi-additive functional equation f(x+y,z+w)=f(x,z)+f(y,w) and the bi-Jensen functional equation 4fx+y2,z+w2=f(x,z)+f(x,w)+f(y,
Jae-Hyeong Bae, Won-Gil Park
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