On a Non-Discrete Concept of Prokaryotic Species by Juan M. Gonzalez, Elena Puerta-Fernández, Margarida M. Santana, Bhagwan Rekadwad

“…At present, the prokaryotic species might no longer have to be understood as discrete values (such as 1 or 2, by homology to Natural numbers); rather, it is expected that some microorganisms could be potentially distributed (according to their genome features and phenotypes) in between others (such as decimal numbers between 1 and 2; real numbers). We propose a continuous species concept for microorganisms, which adapts to the current knowledge on the huge diversity, variability and heterogeneity existing among bacteria and archaea. …”
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Utilizing lesson study in teaching synthetic division for procedural fluency in a post-pandemic classroom by Jessa Christine Dedal Agsalon, Joy Meribeles Anore, Hanna Arnedo Salinas, Princess Pera Dipasupil, Minie Rose Caramoan Lapinid

“…Most students could perform synthetic division but some failed to achieve procedural fluency due to poor prior knowledge in performing operations on real numbers and arranging terms in descending order of degree, and inadequate understanding of the concepts behind the algorithm. …”
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Encipher GAN: An End-to-End Color Image Encryption System Using a Deep Generative Model by Kirtee Panwar, Akansha Singh, Sonal Kukreja, Krishna Kant Singh, Nataliya Shakhovska, Andrii Boichuk

“…The chaotic systems are defined on the set of real numbers and then normalized to a small group of integers in the range 0–255, which affects the security of such cryptosystems. …”
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Computable decision making on the reals and other spaces via partiality and nondeterminism by Sherman, Benjamin, Sciarappa, Luke, Chlipala, Adam, Carbin, Michael James

“…Though many safety-critical software systems use floating point to represent real-world input and output, the mathematical specifications of these systems' behaviors use real numbers. Significant deviations from those specifications can cause errors and jeopardize safety. …”
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Towards Unification of General Relativity and Quantum Theory: Dendrogram Representation of the Event-Universe by Oded Shor, Felix Benninger, Andrei Khrennikov

“…Hence, we use novel mathematics: not only space-time but even real numbers are not in use. Here, the p-adic space (which is zero-dimensional) serves as the base for the holographic image of the universe. …”
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Enhancing healthcare providers’ diagnostic and intervention skills to deal with suicidal patients at emergency departments in the Palestinian hospitals: a quasi experimental study... by Samah Jabr, Fayez Mahamid, Zaynab Hinnawi, Dana Bdier

“…Abstract Background Suicide cases in Palestine continue to record a remarkable annual increase, but we lack a comprehensive verified national data collection system of suicide and it is expected that real numbers of attempted/suicide in Palestine are higher because not all suicide or attempted suicide cases are reported. …”
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Fractional order PI λD µA controller design based on Bode’s ideal function by Khalfa Bettou, Abdelfatah Charef

“…Because the orders λ and µ are real numbers, they will provide more flexibility in the feedback control design for a large range of control systems. …”
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MODIFICATION OF FIREWORKS METHOD FOR MULTIOBJECTIVE OPTIMIZATION BASED ON NON-DOMINATED SORTING by A. V. Panteleev, A. U. Krychkov

“…A possible solution to the problem is a vector of real numbers. Each component of the vector of a possible solution belongs to a certain segment. …”
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Properties of Coordinated <i>h</i>₁,<i>h</i>₂-Convex Functions of Two Variables Related to the Hermite–Hadamard–Fejér Type Inequalities by Muhammad Amer Latif

“…Finally, we give applications of the acquired results to special means of positive real numbers.…”
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Application of Time-Series Analysis for Predicting Defects in Continuous Steel Casting Process by Rodziewicz A., Perzyk M.

“…The first one, applied to the real numbers type of the data has a wide range of capabilities, including not only prediction of the future values but also detection of important periodicity in data. …”
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Computing with Infinite Objects: the Gray Code Case by Dieter Spreen, Ulrich Berger

“…Tsuiki, "Intuitionistic fixed point logic" is a formulation of the Archimedean property of the real numbers as an induction principle. We introduce a concurrent version of this principle which allows us to prove that $\bS^{*}$ and $\bG^{*}$ coincide. …”
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Finite Arithmetic Axiomatization for the Basis of Hyperrational Non-Standard Analysis by Yuri N. Lovyagin, Nikita Yu. Lovyagin

“…The properties of hyperrational numbers and functions allow them to be used to model real numbers and functions of classical elementary mathematical analysis. …”
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On Effectively Indiscernible Projective Sets and the Leibniz-Mycielski Axiom by Ali Enayat, Vladimir Kanovei, Vassily Lyubetsky

“…Examples of effectively indiscernible projective sets of real numbers in various models of set theory are presented. …”
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The Use of Neural Networks and Genetic Algorithms to Control Low Rigidity Shafts Machining by Antoni Świć, Dariusz Wołos, Arkadiusz Gola, Grzegorz Kłosowski

“…Both input vector values and the neural network’s output values are real numbers, which means the problem under consideration is regressive. …”
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Study of the Roberge-Weiss phase caused by external uniform classical electric field using lattice QCD approach by Ji-Chong Yang, Xiao-Ting Chang, Jian-Xing Chen

“…The Polyakov loop can be described by an ansatz A p + Σ q=u,d C q exp (L τ Q q iazeE z ), where A p is a complex number and C d > 0, C u ≥ 0 are real numbers that are fitted for different temperatures and electric field strengths. …”
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Advantages and learning for quantum modelling by Liu, Qing

“…First, we demonstrate quantum models can have unbounded memory advantage by studying a family of stochastic processes where a random walk on real numbers is modelled with progressively greater precision. …”
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Once upon a time in superspace: the diegetic ideal for the interpretation of physical theories by Rivers, ILG

“…Superspace is a modified spacetime represented formally through combining ordinary spatial dimensions with anticommuting dimensions whose coordinates are labelled in Grassmann numbers rather than real numbers. At supersymmetric worlds, physical laws exhibit supersymmetry—viz., a symmetry that transforms bosons into fermions and vice versa. …”

Measuring customer service satisfactions using fuzzy artificial neural network with two-phase genetic algorithm by Mashinchi, M. Reza, Selamat, Ali

“…In the neural network, inputs and weights are assumed to be fuzzy numbers on the set of all real numbers. The optimization ability of GA is used to tune alpha-cuts boundaries of membership functions for fuzzy weights. …”

Sustainable thermal power equipment supplier selection by Einstein prioritized linear Diophantine fuzzy aggregation operators by Hafiz Muhammad Athar Farid, Muhammad Riaz, Muhammad Jabir Khan, Poom Kumam, Kanokwan Sitthithakerngkiet

“…The aggregation operators (AOs) are formed by awarding non-negative real numbers known as priority degrees among strict priority levels. …”
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Evaluation and Application of Surrounding Rock Stability Based on an Improved Fuzzy Comprehensive Evaluation Method by Xianhui Mao, Ankui Hu, Rui Zhao, Fei Wang, Mengkun Wu

“…Using interval numbers rather than real numbers in constructing an interval judgment matrix can better account for the subjective fuzziness and uncertainty of expert judgment. …”
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