Fixed Point of Interpolative Rus–Reich–Ćirić Contraction Mapping on Rectangular Quasi-Partial b-Metric Space by Pragati Gautam, Luis Manuel Sánchez Ruiz, Swapnil Verma

“…The purpose of this study is to introduce a new type of extended metric space, i.e., the rectangular quasi-partial b-metric space, which means a relaxation of the symmetry requirement of metric spaces, by including a real number s in the definition of the rectangular metric space defined by Branciari. …”
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${\mathcal{L}}$ -INVARIANTS AND LOCAL–GLOBAL COMPATIBILITY FOR THE GROUP $\text{GL}_{2}/F$ by YIWEN DING

“…Let $F$ be a totally real number field, ${\wp}$ a place of $F$ above $p$ . …”
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On the sum of the largest $ A_{\alpha} $-eigenvalues of graphs by Zhen Lin

“…Let $ A(G) $ and $ D(G) $ be the adjacency matrix and the degree diagonal matrix of a graph $ G $, respectively. For any real number $ \alpha \in[0, 1] $, Nikiforov defined the $ A_{\alpha} $-matrix of a graph $ G $ as $ A_{\alpha}(G) = \alpha D(G)+(1-\alpha)A(G) $. …”
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Hyperreal Delta Functions as a New General Tool for Modeling Systems with Infinitely High Densities by Marcoen J. T. F. Cabbolet

“…For that matter, the expanded real numbers are introduced as an ordered subring of the hyperreal number field that does not contain any infinitesimals, and hyperreal delta functions are defined as special functions from the real numbers to the expanded real numbers satisfying the condition that (i) the support is a singleton, and (ii) the integral over the reals is a nonzero real number. …”
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APPROXIMATING A BEHAVIOURAL PSEUDOMETRIC WITHOUT DISCOUNT FOR PROBABILISTIC SYSTEMS by Van Breugel, F, Sharma, B, Worrell, J

“…Each pseudometric has a discount factor, a real number in the interval (0,1]. The smaller the discount factor, the more the future is discounted. …”

Single precision in weather forecasting models: An evaluation with the IFS by Váňa, F, Düben, P, Lang, S, Palmer, T, Leutbecher, M, Salmond, D, Carver, G

“…As a starting point for answering this question, the impact of limiting almost all real-number variables in the forecasting mode of ECMWF Integrated Forecast System (IFS) from 64 to 32 bits is investigated. …”

Topological properties of some sequences defined over 2-normed spaces by Dutta, Hemen, Kilicman, Adem, Altun, Omer

“…The paper investigates some classes of real number sequences over 2-normed spaces defined by means of Orlicz functions, a bounded sequence of strictly positive real numbers, a multiplier and a normal paranormed sequence space. …”
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Fuzzy logic controller / by 266770 Chang, Cheng Yoong

“…The defuzzzifier will calculate the cnetroid for consequent membership functions with their degree and yield a single real number which is the output of the fuzzy logic controller.…”

Integration of an Improved Grey-Based Method and Fuzzy Multi-Objective Model for Supplier Selection and Order Allocation by Jadidi, Omid

“…Moreover, the method can only consider interval fuzzy number as input data and real number is neglected. Based on this model and other MADM methods, all demand was sold by the best supplier. …”
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On solutions of some fractional $m$-point boundary value problems at resonance by Zhanbing Bai

“…In this paper, the following fractional order ordinary differential equation boundary value problem: \begin{gather*} D_{0+}^\alpha u(t) =f(t,u(t),D_{0+}^{\alpha-1}u(t))+e(t), 0<t<1,\\ I_{0+}^{2-\alpha}u(t)\mid_{t=0}=0, D_{0+}^{\alpha-1}u(1)=\sum_{i=1}^{m-2}\beta_i D_{0+}^{\alpha-1}u(\eta_i), \end{gather*} is considered, where $1< \alpha \leq 2,$ is a real number, $D_{0+}^\alpha$ and $I_{0+}^{\alpha}$ are the standard Riemann-Liouville differentiation and integration, and $f:[0,1]\times R^2 \to R$ is continuous and $e \in L^1[0,1]$, and $\eta_i \in (0, 1), \beta_i \in R, i=1,2, \cdots, m-2$, are given constants such that $\sum_{i=1}^{m-2}\beta_i=1$. …”
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On a binary Diophantine inequality involving prime numbers by Jing Huang, Qian Wang, Rui Zhang

“…Let $ N $ denote a sufficiently large real number. In this paper, we prove that for $ 1 &lt; c &lt; \frac{104349}{77419} $, $ c\neq\frac{4}{3} $, for almost all real numbers $ T\in(N, 2N] $ (in the sense of Lebesgue measure), the Diophantine inequality $ |p_1^c+p_2^c-T| &lt; T^{-\frac{9}{10c}\left(\frac{104349}{77419}-c\right)} $ is solvable in primes $ p_1, p_2 $. …”
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On the sum of powers of the $ A_{\alpha} $-eigenvalues of graphs by Zhen Lin

“…Let $ A(G) $ and $ D(G) $ be the adjacency matrix and the degree diagonal matrix of a graph $ G $, respectively. For any real number $ \alpha \in[0, 1] $, Nikiforov recently defined the $ A_{\alpha} $-matrix of $ G $ as $ A_{\alpha}(G) = \alpha D(G)+(1-\alpha)A(G) $. …”
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Infinite special branches in words associated with beta-expansions by Christiane Frougny, Zuzana Masáková, Edita Pelantová

“…A Parry number is a real number β > 1 such that the Rényi β-expansion of 1 is finite or infinite eventually periodic. …”
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A brief history of mathematics in finance by Erdinç Akyıldırım, Halil Mete Soner

“…However, as Lo and Mueller (2010) state “Blaming quantitative models for the crisis seems particularly perverse, and akin to blaming arithmetic and the real number system for accounting fraud.” Throughout the history, mathematics and finance have always been in a close relationship. …”
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On Rényi Permutation Entropy by Tim Gutjahr, Karsten Keller

“…This paper discusses the relatively new concept of Rényi permutation entropies in dependence of non-negative real number <i>q</i> parameterizing the family of Rényi entropies and providing the Shannon entropy for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>q</mi><mo>=</mo><mn>1</mn></mrow></semantics></math></inline-formula>. …”
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Trajectory Synthesis of Aircraft Cabin Door Lifting Mechanism Based on the Homotopy Continuation Method by Peng Jiyou, Hang Lubin, Liu Anxin, Wu Borui, Huang Xiaobo, Wu Yang

“…Based on the ordered single open chain method, the trajectory synthesis kinematic equations of two single open chain units of the lifting mechanism are established; the variables of the equations are grouped into homogeneous groups and the Bezout number is only 320, which reduce the homotopy tracking path; by constructing the initial equations and solving the homotopy equations, six sets of non-negative real number configuration solutions of rod length are obtained, and the corresponding configuration of single open chain element combination is drawn. …”
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Entropies of Weighted Sums in Cyclic Groups and an Application to Polar Codes by Emmanuel Abbe, Jiange Li, Mokshay Madiman

“…For the integer group, we show that they can differ by any real number additively, but not too much multiplicatively; on the other hand, for Z / 3 Z , the entropy of the difference is always at least as large as that of the sum. …”
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A Reconsideration of the Number of the Prophet’s Wars by Morteza Karimi, Mostafa Mohseni

“…This research tries to examine the real number of the Prophet's wars. The figure of eighty is greatly exaggerated.and was closer to twenty.…”
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Novel Complex Intuitionistic Hesitant Fuzzy Distance Measures for Solving Decision-Support Problems by Shahzaib Ashraf, Muhammad Ahmed, Muhammad Naeem, Quashie Duodu

“…In CIHFS, the range of the membership functions is extended from the subset of the real number to the unit disc under the hesitant environment. …”
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A new family of fourth-order Ostrowski-type iterative methods for solving nonlinear systems by Xiaofeng Wang, Mingyu Sun

“…It was proved that the order of convergence of the new iterative family was always fourth-order when the parameters take any real number. Finally, the dynamical behavior of the family was briefly analyzed using real dynamical tools. …”
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