Application of genetic algorithm in model music composition innovation by Xu Delei, Xu Haoming

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Proposed Method for Optimizing Fuzzy linear programming Problems by using Two-Phase Technique by Zaki .S. Towfik, Sabiha Fathil Jawad

Subjects: “…Linear Fuzzy Real Numbers…”
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Which Number System Is “Best” for Describing Empirical Reality? by Matt Visser

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Stochastic Analysis of the Time Continuum by Miloš Milovanović, Srđan Vukmirović, Nicoletta Saulig

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More General Ostrowski-Type Inequalities in the Fuzzy Context by Muhammad Amer Latif

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An Alternative Diffie-Hellman Protocol by Eric Järpe

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Increasing the Modeling Accuracy of an Analog PLL Device Executed With an Event-Driven Simulator by Mariam Maurice, Mohamed Dessouky, Ashraf Salem

Subjects: “…Real number modeling (RNM)…”
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18.014 Calculus with Theory I, Fall 2002 by Munkres, James, Lachowska, Anna

Subjects: “…axioms for the real numbers…”
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A complex autoregressive model and application to monthly temperature forecasts by X. Gu, J. Jiang

“…The model is different from the conventional way that the real number and the imaginary number are separately calculated. …”
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Application of Extended Euclid Algorithm on Hill Cipher Cryptography Modulo 95 by Annisa, Nikken Prima Puspita, Nurdin Bachtiar, Eriska Meiyana

“…Let A be a 2 2 invertible matrix of the real number. Encryption performed by converting each character on the original message into an ASCII code. …”
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Range-free wireless sensor networks localization based on hop-count quantization by Ma, Di, Er, Meng Joo, Wang, Bang, Lim, Hock Beng

“…We then use the transformed real number hop-count to solve WSNs localization problems based on the MDS (multidimensional scaling) method. …”
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On the Degree Distribution of Haros Graphs by Jorge Calero-Sanz

“…Haros graphs are a graph-theoretical representation of real numbers in the unit interval. The degree distribution of the Haros graphs provides information regarding the topological structure and the associated real number. …”
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From coinductive proofs to exact real arithmetic: theory and applications by Ulrich Berger

“…Based on a new coinductive characterization of continuous functions we extract certified programs for exact real number computation from constructive proofs. The extracted programs construct and combine exact real number algorithms with respect to the binary signed digit representation of real numbers. …”
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The topological entropy of iterated piecewise affine maps is uncomputable by Pascal Koiran

“…We ask whether the topological entropy of a piecewise affine function is always a computable real number, and conversely whether every non-negative computable real number can be obtained as the topological entropy of a piecewise affine function. …”
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High-Accuracy, High-Gain Phased Array Utilizing Matrix-Sum and Tunable Amplifier Techniques by Yi-Ting Lin, Zuo-Min Tsai, Jen-Ming Wu

“…The system architecture comprises an <inline-formula> <tex-math notation="LaTeX">$8\times 8$ </tex-math></inline-formula> phase matrix network and a 1-to-8 real number weighting network. The 1-to-8 real number weighting network simultaneously supplies the required weighting value to all input ports of the phase matrix network, enabling the adjustment of the phase difference and power ratio between adjacent output signals and thereby generating the desired beam. …”
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Local analytic solutions to some nonhomogeneous problems with $p$-Laplacian by Gabriella Bognár

“…Applying the Briot-Bouquet theorem we show that there exists an unique analytic solution to the equation $\left( t^{n-1}\Phi _{p}\left( y^{\prime}\right) \right) ^{\prime }+(-1)^{i}t^{n-1}\Phi _{q}(y)=0$, on $(0,~a)$, where $\Phi _{r}(y):=\left\vert y\right\vert ^{r-1}y$, $0<r,p,q\in R^{+}$, $i=0,1$, $1\leq n\in N,\ a$ is a small positive real number. The initial conditions to be added to the equation are $y(0)=A\neq 0$, $y^{\prime}(0)=0$, for any real number $A$. …”
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Projective extensions of fields by Koenigsmann, J

“…In characteristic 0, we prove that Leopoldt's conjecture for all totally real number fields is equivalent to the statement that, for all totally real number fields, all projective extensions are cyclotomic. …”

Visible and Real Sizes of New COVID-19 Pandemic Waves in Ukraine by Igor Nesteruk

“…In particular, the visibility coefficients and the optimal values of the model parameters were estimated for two pandemic waves in Ukraine occurred in December 2020–March 2021. The real number of cases and the real number of patients spreading the infection versus time were calculated. …”
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An Introduction to Mathematical Proofs / by Loehr, Nicholas A., author 650211

“…"An Introduction to Mathematical Proofs presents fundamental material on logic, proof methods, set theory, number theory, relations, functions, cardinality, and the real number system. The text uses a methodical, detailed, and highly structured approach to proof techniques and related topics. …”

A Game-based Learning Project – Calculating Limit of Sequences with the Didactic Game LimStorm by Szilvia Szilágyi, Attila Körei, Zsuzsanna Török, Ingrida Vaičiulytė

“…The concepts of real number sequence, convergence and limit are introduced to all engineering and computer science students in their first semester mathematical analysis course. …”
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