Self-approximation of periodic Hurwitz zeta-functions by Erikas Karikovas

“…Let ζ(s,ω;A) be the periodic Hurwitz zeta-function. We look for real numbers α and β for which there exist "many" real numbers τ such that the shifts ζ(s+iατ,ω;A) and ζ(s+iβτ,ω;A) are "near" each other.…”
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Noncomputable functions in the Blum-Shub-Smale model by Wesley Calvert, Ken Kramer, Russell Miller

“…Working in the Blum-Shub-Smale model of computation on the real numbers, we answer several questions of Meer and Ziegler. …”
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Dynamics and Global Stability of Second Order Nonlinear Difference Equation by E. M. Elsayed, Hanan S. Gafel

“…In this paper, we study some qualitative behavior of the solutions of the following rational difference equation with order two xn+1=axn+bxn−1+cxn+dxn−1/e+fxn−1, where the parameters a, b, c, d, e and f are positive real numbers and the initial conditions x−1 and x0 are positive real numbers.…”
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Global behavior of a rational difference equation with quadratic term by Abo-Zeid R.

“…In this paper, we determine the forbidden set, introduce an explicit formula for the solutions and discuss the global behavior of all solutions of the difference equation Xn+1 = aXnXn-1 bXn - CXn-2, n = 0, 1, … where a, b, c are positive real numbers and the initial conditions X-2, X-1, X0 are real numbers.…”
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On the Involutive Matrices of the kth Degree by Hasan KELE¸

“…The solutions of the equation x2 = 1 in real numbers are ±1. Meanwhile, in the solution of the equation xk = 1 in real numbers, there is always the number ±1 that is independent of the power of k 2 Z+. …”
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Making sense of complex numbers by Elvent Taliban

“…The researcher has chosen the topic of complex numbers as it is an extension of the real numbers system and it will be beneficial to explore how the conceptions of participants in the real numbers system affect their sense making of complex numbers. …”
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The real field with an irrational power function and a dense multiplicative subgroup by Hieronymi, P

“…In recent years the field of real numbers expanded by a multiplicative subgroup has been studied extensively. …”

On a Rational $(P+1)$th Order Difference Equation with Quadratic Term by R Abo-zeıd, Messaoud Berkal

“…In this paper, we derive the forbidden set and determine the solutions of the difference equation that contains a quadratic term \begin{equation*} x_{n+1}=\frac{x_{n}x_{n-p}}{ax_{n-(p-1)}+bx_{n-p}},\quad n\in\mathbb{N}_0, \end{equation*} where the parameters $a$ and $b$ are real numbers, $p$ is a positive integer and the initial conditions $x_{-p}$, $x_{-p+1}$, $\cdots$, $x_{-1}$, $x_{0}$ are real numbers.…”
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On Neutrosophic Square Matrices and Solutions of Systems of Linear Equations by Ali İhsan Sekmen, Yilmaz Çeven

“…We started this work with a theorem that shows in which case the abbreviation rule for neutrosophic real numbers is true. We then detail in which cases the division of two neutrosophic real numbers yields a new neutrosophic number. …”
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How many bits does it take to quantize your neural network? by Giacobbe, M, Henzinger, TA, Lechner, M

“…However, like their real-numbered counterpart, quantized networks are not immune to malicious misclassification caused by adversarial attacks. …”

Bipolar Dissimilarity and Similarity Correlations of Numbers by Ildar Z. Batyrshin, Edit Tóth-Laufer

“…Usually, they use symmetric and reflexive similarity measures between parameters of fuzzy sets or “centers of gravity” of generalized fuzzy numbers represented by real numbers. This paper studies bipolar similarity functions (fuzzy relations) defined on a domain with involutive (negation) operation. …”
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Interval Type Interval and Cognitive Uncertain Information in Information Fusion and Decision Making by Le Sheng Jin, Zhen-Song Chen, Ronald R. Yager, Reza Langari

“…Abstract More uncertainty can be obtained when real numbers are extended to intervals. The two new concepts proposed in this work are the natural extensions of cognitive interval information and cognitive uncertain information with real numbered values replaced by interval values. …”
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Coset Group Construction of Multidimensional Number Systems by Horia I. Petrache

“…Extensions of real numbers in more than two dimensions, in particular quaternions and octonions, are finding applications in physics due to the fact that they naturally capture symmetries of physical systems. …”
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Super-Resolution DoA Estimation on a Co-Prime Array via Positive Atomic Norm Minimization by Hyeonjin Chung, Young Mi Park, Sunwoo Kim

“…The positive ANM is a technique that can enhance resolution when the coefficients of the atoms are the positive real numbers. A novel optimization problem is proposed to ensure the coefficients of the atoms are the positive real numbers, and the positive ANM is employed after solving the optimization problem. …”
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A PASSION FOR EXCELLENCE : The Leadership Difference / by Peters, Thomas J., 1942-, author 221297, Austin, Nancy, author 653079

“…Here are real people, real companies, real numbers. Here is what is needed to know about the crucial elements of success: constant innovation, staying in touch with customers, encouraging the contributions of everyone in the company, and maintaining the integrity that is basic to leadership. …”

Platform-independent Specification and Verification of the Standard Mathematical Square Root Function by Nikolay V. Shilov, Dmitry A. Kondratyev, Igor S. Anureev, Eugene V. Bodin, Alexei V. Promsky

“…Incrementality means that we start with the most straightforward specification of the simplest case to verify the algorithm in real numbers and finish with a realistic specification and a verification of the algorithm in computer arithmetics. …”
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Inference for the Weibull Distribution Based on Fuzzy Data by ABBAS PAK, GHOLAM ALI PARHAM, MANSOUR SARAJ

“…It is usually assumed that observed data are precise real numbers. However, some collected data might be imprecise and are represented in the form of fuzzy numbers. …”
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Dynamical behavior of one rational fifth-order difference equation by B. Ogul, D. Simsek

“…In this paper, we study the qualitative behavior of the rational recursive equation \begin{equation*} x_{n+1}=\frac{x_{n-4}}{\pm1\pm x_{n}x_{n-1}x_{n-2}x_{n-3}x_{n-4}}, \quad n \in \mathbb{N}_{0}:=\{0\}\cup\mathbb N, \end{equation*} where the initial conditions are arbitrary nonzero real numbers. The main goal of this paper, is to obtain the forms of the solutions of the nonlinear fifth-order difference equations, where the initial conditions are arbitrary positive real numbers. …”
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An Introduction to The Split-Complex Symbolic 2-Plithogenic Numbers by Rama Asad Nadweh, Oliver Von Shtawzen, Ahmad Khaldi

“…The objective of this paper is to combine split-complex numbers with symbolic 2-plithogenic numbers in one algebraic structure called split-complex symbolic 2-plithogenic real numbers.…”
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Refinements of Hermite-Hadamard Type Inequalities for s-Convex Functions with Applications to Special Means by Uğur Selamet Kırmacı

“…Some applications to special means for real numbers are also given.…”
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