Results 41 to 50 of about 11,284,975 (381)
Physical Review Research, 2023 Many computational problems can be formulated in terms of high-dimensional functions. Simple representations of such functions and resulting computations with them typically suffer from the “curse of dimensionality,” an exponential cost dependence on ...
Ruojing Peng +2 more
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Basic fuzzy arithmetic operations using α–cut for the gaussian membership function [PDF]
Journal of Fuzzy Extension and Applications, 2022 Currently fuzzy set theory has a wide range to model real life problems with incomplete or vague information which perfectly suits the reality and its application is theatrically increasing. This work explored the basic fuzzy operations with the Gaussian
Leonce Leandry +2 more
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Estimate of asymptotics of moments of arithmetic functions defined on an arithmetic progression and having a limit - normal distribution [PDF]
arXiv, 2021 We consider a method for estimating asymptotics of arithmetic functions on a arithmetic progression in the paper. This question is closely related with the distribution of primes. Problems often arise even with the definition of asymptotic of the mean value of arithmetic functions, and even more with the determination of asymptotics of moments of ...
arxiv
Arithmetic convergent sequence space defined by modulus function
Boletim da Sociedade Paranaense de Matemática, 2019 The aim of this article is to introduce the sequence spaces $AC(f)$ and $AS(f)$ using arithmetic convergence and modulus function, and study algebraic and topological properties of this space, and certain inclusion results.
Taja Yaying, Bipan Hazarika
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The theta invariants and the volume function on arithmetic varieties [PDF]
arXiv, 2022 We introduce a new arithmetic invariant for hermitian line bundles on an arithmetic variety. We use this invariant to measure the variation of the volume function with respect to the metric. The main result of this paper is a generalized Hodge index theorem on arithmetic toric varieties.
arxiv
A Functional Equation in Arithmetic [PDF]
Transactions of the American Mathematical Society, 1936 which occurs in all theories of numerical functions hitherto considered. The two most highly developed theories of this kind are those in which multiplication in the ring of all numerical functions is abstractly identical with C (Cauchy) or D (Dirichlet) multiplication of infinite series.t Lehmer's five postulates are sufficient for the development of ...
openaire +2 more sources
The Riemann-zeta function on vertical arithmetic progressions [PDF]
, 2012 We show that the twisted second moments of the Riemann zeta function averaged over the arithmetic progression $1/2 + i(an + b)$ with $a > 0$, $b$ real, exhibits a remarkable correspondance with the analogous continuous average and derive several ...
Xiannan Li, Maksym Radziwill
semanticscholar +1 more source
On upper bounds of arithmetic degrees [PDF]
American Journal of Mathematics, 2016 :Let $X$ be a smooth projective variety defined over $\overline{\Bbb{Q}}$, and $f\colon X\dashrightarrow X$ be a dominant rational map. Let $\delta_f$ be the first dynamical degree of $f$ and $h_X\colon X(\overline{\Bbb{Q}})\rightarrow [1,\infty)$ be a ...
Yohsuke Matsuzawa
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A note on $(a,b)$-Fibonacci sequences and specially multiplicative arithmetic functions [PDF]
Mathematica BohemicaA specially multiplicative arithmetic function is the Dirichlet convolution of two completely multiplicative arithmetic functions. The aim of this paper is to prove explicitly that two mathematical objects, namely $(a,b)$-Fibonacci sequences and ...
Emil Daniel Schwab, Gabriela Schwab
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Bounds for the Neuman–Sándor Mean in Terms of the Arithmetic and Contra-Harmonic Means
Axioms, 2022 In this paper, the authors provide several sharp upper and lower bounds for the Neuman–Sándor mean in terms of the arithmetic and contra-harmonic means, and present some new sharp inequalities involving hyperbolic sine function and hyperbolic cosine ...
Wen-Hui Li, Peng Miao, Bai-Ni Guo
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