Advantages of Logarithmic Signatures in the Implementation of Crypto Primitives by Yevhen Kotukh, Hennadii Khalimov

“…The presence of regularity in the computational data of the algorithm, for example, periodicity (frequency resonances) in algebraic structures (rings, groups, lattices, etc.) can potentially be filtered by some algorithm with a complexity less than Grover's algorithm. …”
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Daily reference evapotranspiration prediction using empirical and data-driven approaches: A case study of Adana plain by Semin Topaloğlu Paksoy, Deniz Levent Koç

“…Nevertheless, the GEP and MLR methods have the advantage of utilizing explicit algebraic equations, making them more convenient to apply, especially in the context of agricultural irrigation practices.…”
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Gaussian mixtures closest to a given measure via optimal transport by Lasserre, Jean B.

“…Next (ii) by using a well-known specific property of Gaussian measures, this optimal transport is then viewed as a Generalized Moment Problem (GMP) and if the set $S$ of mixture parameters $(\mathbf{m},\mathbf{\Sigma })$ is a basic compact semi-algebraic set, we provide a “mesh-free” numerical scheme to approximate as closely as desired the optimal distance by solving a hierarchy of semidefinite relaxations of increasing size. …”
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Model of a Photovoltaic Module for the MatLab/Simulink SimPowerSystems Library by D. I. Zalizny

“…The model solved the problems of the algorithm stability for calculating algebraic cycles by introducing constraint the current and the voltage parameters. …”
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More Benefits of Adding Sparse Random Links to Wireless Networks: Yet Another Case for Hybrid Networks by Gunes Ercal

“…Finally, we experimentally confirm that the algebraic connectivities of both G 1 and G 2 exhibit significant asymptotic improvement over that of the underlying random geometric graph. …”
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Topology Unveiled: A New Horizon for Economic and Financial Modeling by Yicheng Wei, Junzo Watada, Zijin Wang

“…Sinceits introduction in the 19th century to address geometric problems, topology as a methodology has undergone a series of evolutions, encompassing branches of geometric topology, point-set topology (analytic topology), algebraic topology, and differential topology, gradually permeating into various interdisciplinary applied fields. …”
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SOLUTION OF THE PROBLEM OF OIL-POOL IN-SITU COMBUSTION FRONT PROPAGATION ON THE BASIS OF HEURISTIC HYPOTHESIS REGARDING TEMPERATURE AND CONCENTRATION PROFILES by K. V. Dobrego

“…Another hypothesis is the assumption that the maximum gradient of the concentration profile of the missing component is implemented with a fixed value of concentration that is expressed as y’’ ( y = y*) = 0. Simple algebraic and differential equations fordetermination of the temperature and concentration profiles as well as for the front propagation velocity are derived for two cases i.e. the lack of oxidizer and the fuel component fault. …”
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A Two-Fluid Conditional Averaging Paradigm for the Theory and Modeling of Turbulent Premixed Combustion by Vladimir L. Zimont

“…We formulate a simple algebraic expression for the mean chemical source that follows from our previous theoretical analysis of the transient turbulent premixed flame in the intermediate asymptotic stage, in which small-scale wrinkles in the instantaneous flame surface reach statistical equilibrium, while the large-scale wrinkles remain in statistical nonequilibrium.…”
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A Novel Construction of Substitution Box Based on Polynomial Mapped and Finite Field With Image Encryption Application by Abid Mahboob, Muhammad Asif, Imran Siddique, Aysha Saleem, Muhammad Nadeem, Dariusz Grzelczyk, Jan Awrejcewicz

“…Lastly, to examine the validity of the suggested S-box we used various tests such as nonlinearity (NL), bit independence criteria (BIC), strict avalanche criteria (SAC), differential uniformity (DU) and linear approximation probability (LAP) which all certify algebraic properties of S-box. Moreover, the features of newly constructed S-box compared with recent S-boxes from literature which show superior performance against intruders’ attacks. …”
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Human Trust in Robots: A Survey on Trust Models and Their Controls/Robotics Applications by Yue Wang, Fangjian Li, Huanfei Zheng, Longsheng Jiang, Maziar Fooladi Mahani, Zhanrui Liao

“…These include performance-centric algebraic, time-series, Markov decision process (MDP)/Partially Observable MDP (POMDP)-based, Gaussian-based, and dynamic Bayesian network (DBN)-based trust models. …”
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“…Application and Verification of Fuzzy Algebraic Operators to Landslide Susceptibility Mapping. …”
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Global Three‐Dimensional Ionospheric Tomography by Combination of Ground‐Based and Space‐Borne GNSS Data by Dengkui Mei, Xiaodong Ren, Hang Liu, Xuan Le, Si Xiong, Xiaohong Zhang

“…By combining ground‐based GNSS data from 460 global stations with space‐borne GNSS data onboard eleven Low‐Earth‐Orbit (LEO) satellites, we employed the EOF (empirical orthogonal function)‐based multiplicative algebraic reconstruction technique (EMART) to reconstruct the global ionospheric electron densities. …”
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On $ \left(\mathit{p}, \mathit{q}\right) $-fractional linear Diophantine fuzzy sets and their applications via MADM approach by Hanan Alohali, Muhammad Bilal Khan, Jorge E. Macías-Díaz, Fahad Sikander

“…Additionally, aggregation operators are crucial for handling uncertainty in decision-making scenarios. Consequently, algebraic norms for $ \left(p, q\right) $-fractional linear Diophantine fuzzy sets were established based on operational principles. …”
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Experimental and Theoretical Study on the Failure of Sandwich Specimens with Tabs under Four-Point Bending by V. N. Paimushin, S. A. Kholmogorov, M. V. Makarov, N. V. Levshonkova

“…This method involved reducing the original boundary value problem to integro-algebraic equations with Volterra-type operators of the second kind and additional relations for determining the unknown integration constants. …”
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Entropy generation and heat convection analysis of second-grade viscoelastic nanofluid flow in a tilted lid-driven square enclosure: A finite difference approach by Anil Ahlawat, Mukesh Kumar Sharma, K. Loganathan

“…The stream function approach removes the pressure gradient term from the linear momentum equation, and the resulting partial differential equations are discretized via finite differences and then resulting algebraic equations are solved with SOR and SUR methods employing self-developed MATLAB codes. …”
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Ionospheric Response to the 24–27 February 2023 Solar Flare and Geomagnetic Storms Over the European Region Using a Machine Learning–Based Tomographic Technique by Ting Li, Dunyong Zheng, Changyong He, Fei Ye, Pengfei Yuan, Yibin Yao, Mengguang Liao, Jian Xie

“…The CIT‐ML accuracy was 28.3% higher than the improved algebraic reconstruction technique with relaxation factor automatic search technology (IART‐AS), which effectively improved the typical ill‐posed problem of CIT. …”
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Analisis Kesalahan Mahasiswa dalam Pembuktian Identitas Trigonometri by Ucik Fitri Handayani, Wildan Hakim, Anggita Oktaviana Putri

“…Some of the causes of errors occur such as, namely not knowing the strategy or trigonometric identity that is suitable to be used in proving trigonometric identities, incomplete completion procedures, lack of creativity in algebraic manipulation, and lack of skill in operations and calculations which cause the final result to be less precise.…”
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The Laguerre Constellation of Classical Orthogonal Polynomials by Roberto S. Costas-Santos

“…In this work, on the one hand, we present the Laguerre constellation, which is formed by all the classical families for which <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo form="prefix">deg</mo><mi>ϕ</mi><mo>=</mo><mn>1</mn></mrow></semantics></math></inline-formula>, obtaining for all of them new algebraic identities such as structure formulas and orthogonality properties, as well as new Rodrigues formulas; on the other hand, we present a theorem that characterizes the classical families belonging to the Laguerre constellation.…”
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Multidimensional Stability of Planar Traveling Waves for Competitive–Cooperative Lotka–Volterra System of Three Species by Na Shi, Xin Wu, Zhaohai Ma

“…Additionally, for planar traveling waves with speed <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>c</mi><mo>=</mo><msup><mi>c</mi><mo>*</mo></msup></mrow></semantics></math></inline-formula>, we demonstrate their algebraic stability in the form <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>t</mi><mrow><mo>−</mo><mstyle><mfrac><mi>n</mi><mn>2</mn></mfrac></mstyle></mrow></msup></semantics></math></inline-formula>. …”
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On the Normalized Laplacian Spectrum of the Zero-Divisor Graph of the Commutative Ring <inline-formula><math display="inline"><semantics><msub><mstyle mathvariant="bold"><mi mathva... by Ali Al Khabyah, Nazim, Nadeem Ur Rehman

“…The normalized Laplacian spectrum of zero-divisor graphs has been studied extensively due to its algebraic and combinatorial significance. Notably, Pirzada and his co-authors computed the normalized Laplacian spectrum of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Γ</mo><mo>(</mo><msub><mi mathvariant="double-struck">Z</mi><mi mathvariant="fraktur">n</mi></msub><mo>)</mo></mrow></semantics></math></inline-formula> for specific values of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="fraktur">n</mi></semantics></math></inline-formula> in the set <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>{</mo><mi>p</mi><mi>q</mi><mo>,</mo><msup><mi>p</mi><mn>2</mn></msup><mi>q</mi><mo>,</mo><msup><mi>p</mi><mn>3</mn></msup><mo>,</mo><msup><mi>p</mi><mn>4</mn></msup><mo>}</mo></mrow></semantics></math></inline-formula>, where <i>p</i> and <i>q</i> are distinct primes satisfying <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>p</mi><mo><</mo><mi>q</mi></mrow></semantics></math></inline-formula>. …”
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