Integral representation of vertical operators on the Bergman space over the upper half-plane by Bais, Shubham R., Venku Naidu, D., Mohan, Pinlodi

“…Later on, with the help of above integral representation, we obtain various operator theoretic properties of the vertical operators.Also, we give integral representation of the form $S_\varphi $ for all the operators in the $C^\ast $-algebra generated by Toeplitz operators $T_{\mathbf{a}}$ with vertical symbols ${\mathbf{a}}\in L^\infty (\Pi )$.…”
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GIS MODELLING IN THEMATIC MAPPING OF LAND COVER CHANGES IN THE FOREST-STEPPE REGION OF RUSSIA by ELIZAVETA KHAZIEVA

“…It employs what amount to an algebra in which single-factor maps are treated as variables that can be flexibly manipulated using an integrated set of functions (Paul et. al., 1991). …”
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Some Novel Cosine Similarity Measures Based on Complex Hesitant Fuzzy Sets and Their Applications by Ronnason Chinram, Tahir Mahmood, Ubaid Ur Rehman, Zeeshan Ali, Aiyared Iampan

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The Discriminative Lexicon: A Unified Computational Model for the Lexicon and Lexical Processing in Comprehension and Production Grounded Not in (De)Composition but in Linear Discr... by R. Harald Baayen, Yu-Ying Chuang, Elnaz Shafaei-Bajestan, James P. Blevins

“…This novel theory is inspired by word and paradigm morphology but operationalizes the concept of proportional analogy using the mathematics of linear algebra. It embraces the discriminative perspective on language, rejecting the idea that words’ meanings are compositional in the sense of Frege and Russell and arguing instead that the relation between form and meaning is fundamentally discriminative. …”
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Elastodynamic modeling and analysis of a 4SRRR overconstrained parallel robot by B. Wang, Y. Zhao, C. Yang, X. Hu, Y. Zhao

“…Second, based on the theory of multipoint constraint elements and linear algebra, a set of independent displacement coordinates is established for the connection points between rods and the moving platform, rods and rods, and rods and the fixed platform. …”
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Investigation of new solitary stochastic structures to the Heisenberg ferromagnetic spin chain model via a Stratonovich sense by Md. Nur Alam

“…With the help of Maple, a robust computer algebra system, we generate generalized solitons and examine their dynamic behavior by exploring parameter values and their interrelations. …”
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Quaternion modeling of the helical path for analysis of the shape of the DNA molecule by A. F. Muterko

“…In the present guide, the algebra of unit and dual quaternions is applied for the first time to modeling of the DNA helical path, based on conformational parameters of the base pair steps. …”
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Yakov Isidorovich Perelman: um pioneiro da divulgação científica esquecido (Parte I: vida e obra) by Thárcio Adelino Cerqueira, Lucas Guimarães Barros

“…Perelman é conhecido no Brasil principalmente pelas obras Aprenda Física Brincando e Aprenda Álgebra Brincando, que se tornaram referência para professores e autores de livros didáticos. …”
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CyberUnits Bricks: An Implementation Study of a Class Library for Simulating Nonlinear Biological Feedback Loops by Johannes W. Dietrich, Nina Siegmar, Jonas R. Hojjati, Oliver Gardt, Bernhard O. Boehm

“…Currently, available approaches for modelling and simulation comprise basically domain-specific environments, toolkits for computer algebra systems and custom software written in universal programming languages for a specific purpose, respectively. …”
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Can Effects of a Generalized Uncertainty Principle Appear in Compact Stars? by João Gabriel Galli Gimenez, Dimiter Hadjimichef, Peter Otto Hess, Marcelo Netz-Marzola, César A. Zen Vasconcellos

“…On basis of a deformed Poisson canonical algebra with a parametrized minimum length scale that induces deviations from conventional Quantum Mechanics, fundamental questions involving the consistence, evidences and proofs of this approach as a possible cure for unbounded energy divergence are outlined. …”
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Enhanced Learning Behaviors and Ability Knowledge Tracing by Fanglan Ma, Changsheng Zhu, Peng Lei, Peiwen Yuan

“…However, the model’s performance on the shorter sequence Algebra0607 was less satisfactory, with an AUC 3.16% lower and an ACC 5.0% lower than that of the top-performing model. …”
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Sensitivity and identifiability analysis of COVID-19 pandemic models by O. I. Krivorotko, S. I. Kabanikhin, M. I. Sosnovskaya, D. V. Andornaya

“…The algorithm is built on the sensitivity matrix analysis using the methods of differential and linear algebra. It allows one to determine the parameters that are the least and most sensitive to data changes to build a regularization for solving an identif ication problem of the most accurate pandemic spread scenarios in the region. …”
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High-Capacity Real-Time Face Retrieval Recognition Algorithm Based on Task Scheduling Model for the Treatment Area of Hospital by Yi Zhou, Weili Xia

“…Based on the theoretical results of the greatly additive algebra, it is shown that the coherent qualifying function is linearly periodic, i.e., the function can be represented by a finite nonperiodic part and an infinitely repeated periodic part, thus calculating the coherent qualifying function independent of the magnitude of the interval time. …”
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2D physically unclonable functions of the arbiter type by V. N. Yarmolik, A. A. Ivaniuk

“…The methods of synthesis and analysis of digital devices are used, including those based on  programmable logic integrated circuits, the basics of Boolean algebra and circuitry. Results. It is shown that the classical APUF uses a standard basic element that performs two functions,  namely, the function of choosing a pair of paths Select and the function of switching paths Switch, which, due to their joint use, allow achieving high performance. …”
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Clinicopathological features of Lynch syndrome pedigrees with MSH2 c.351G>A gene variant by Shuai Zhang, Guanyu Fu, Gongping Sun, Yuanxin Tang, Jin Meng, Zhigang Wang, Rongjun Su, Wei Liu, Xiaoxia Li

“…The clinicopathological characteristics of LS in this family include common simultaneous or heterogeneous multiple primary cancers, a broad tumor spectrum, and a younger age with the continuation of genetic algebra.…”
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Set-Word Embeddings and Semantic Indices: A New Contextual Model for Empirical Language Analysis by Pedro Fernández de Córdoba, Carlos A. Reyes Pérez, Claudia Sánchez Arnau, Enrique A. Sánchez Pérez

“…We present a new word embedding technique in a (non-linear) metric space based on the shared membership of terms in a corpus of textual documents, where the metric is naturally defined by the Boolean algebra of all subsets of the corpus and a measure <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>μ</mi></semantics></math></inline-formula> defined on it. …”
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Attitudes of medical students in Croatia toward rural medicine education and practice by Nataša Mrduljaš-Ðujić, Nataša Mrduljaš-Ðujić, Ivana Radić, Nina Bašić Marković, Nina Bašić Marković, Toni Vrgoč, Maja Buljubašić

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Pengembangan Auto-AI Model Generatif Analisis Kompleksitas Waktu Algoritma Untuk Data Multi-Sensor IoT Pada Node-RED Menggunakan Extreme Learning Machine by Imam Cholissodin, Dahnial Syauqy, Dwi Ady Firmanda, Ibrahim Aji, Edy Rahman, Syazwandy Harahap, Fernando Septino

“…Abstract Initially, algorithms were only used for solving simple mathematical equations such as algebra, arithmetic, probability, and others that were mostly carried out manually and required quite a lot of time and effort as in the case of calculating the value of the time complexity of the algorithm with the formula model of T(n), both for non-recursive and recursive algorithms. …”
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Quartic exercises by Max-Albert Knus, Jean-Pierre Tignol

“…A correspondence between quartic étale algebras over a field and quadratic étale extensions of cubic étale algebras is set up and investigated. …”
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