Results 1 to 10 of about 60 (50)
Fundamentals of metric theory of real numbers in their $\overline{Q_3}$-representation
In the paper we were studied encoding of fractional part of a real number with an infinite alphabet (set of digits) coinciding with the set of non-negative integers.
I.V. Zamrii, V.V. Shkapa, H.M. Vlasyk
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Solution of Klein-Gordon Equation in F(R) Theory of Gravity
The theory, as a modification of the general relativity theory, is frequently employed as an alternative theory of gravity and offers a promising avenue for addressing the challenges of formulating a quantum gravity theory.
Arista Romadani
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This paper presents a new method to rank triangular fuzzy numbers as well as a new metric (triangular fuzzy metric) on the set of fuzzy points. This metric can be used in both studying fuzzy topological spaces and decision-making theory.
Mohammad A. Mahmoud Al-Amleh
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Approximations of Fuzzy Numbers by Using r-s Piecewise Linear Fuzzy Numbers Based on Weighted Metric
Using simple fuzzy numbers to approximate general fuzzy numbers is an important research aspect of fuzzy number theory and application. The existing results in this field are basically based on the unweighted metric to establish the best approximation ...
Haojie Lv, Guixiang Wang
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Pseudo-hermitian random matrix models: General formalism
Pseudo-hermitian matrices are matrices hermitian with respect to an indefinite metric. They can be thought of as the truncation of pseudo-hermitian operators, defined over some Krein space, together with the associated metric, to a finite dimensional ...
Joshua Feinberg, Roman Riser
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Chistyakov introduced and developed a concept of modular metric for an arbitrary set in order to generalise the classical notion of modular on a linear space.
Olivier Olela Otafudu, Katlego Sebogodi
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The article is devoted to the latest results in metric theory of Diophantine approximation. One of the first major result in area of number theory was a theorem by academician Jonas Kubilius. This paper is dedicated to centenary of his birth.
Victor V. Beresnevich +4 more
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Tidal Deformability of Neutron Stars in Unimodular Gravity
Unimodular gravity is a modified theory with respect to general relativity by an extra condition that the determinant of the metric is fixed. Especially, if the energy-momentum tensor is not imposed to be conserved separately, a new geometric structure ...
Rui-Xin Yang, Fei Xie, Dao-Jun Liu
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Continued $\mathbf{A_2}$-fractions and singular functions
In the article we deepen the metric component of theory of infinite $A_2$-continued fractions $[0;a_1,a_2,...,a_n,...]$ with a two-element alphabet $A_2=\{\frac12,1\}$, $a_n\in A_2$ and establish the normal property of numbers of the segment $I=[\frac12 ...
M.V. Pratsiovytyi +3 more
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Multipolar boson stars: Macroscopic Bose-Einstein condensates akin to hydrogen orbitals
Boson stars are often described as macroscopic Bose-Einstein condensates. By accommodating large numbers of bosons in the same quantum state, they materialize macroscopically the intangible probability density cloud of a single particle in the quantum ...
C.A.R. Herdeiro +4 more
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