Central Limit Theorem for Coloured Hard Dimers by Maria Simonetta Bernabei, Horst Thaler

“…The techniques used at arriving this result comprise combinatorics, generating functions, and conditional expectations.…”
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Series and Summations on Binomial Coefficients of Optimized Combination by Chinnaraji Annamalai, Junzo Watada, Vishnu Narayan Mishra

“… This paper presents innovative series and summations derived from the optimized combinations relating to the combinatorics. These series and summations will be useful for the researchers who are involving to solve the scientific problems. …”
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Geometric Representations of Interacting Maps by Tsuyoshi Kato

“…On the other hand, automata appear in various contexts in topology, combinatorics, and integrable systems. In this paper we study the analysis of these materials passing through tropical geometry. …”
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Coassociative grammar, periodic orbits, and quantum random walk over ℤ by Philippe Leroux

“…Inspired by a work of Joni and Rota, we show that the combinatorics generated by a quantisation of the Bernoulli random walk over ℤ can be described from a coassociative coalgebra. …”
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Prefixes of the Fibonacci word that end with a cube by Rampersad, Narad

“…The Fibonacci word $\mathbf{f} = 010010100100101\cdots $ is one of the most well-studied words in the area of combinatorics on words. It is not periodic, but nevertheless contains many highly periodic factors (contiguous subwords). …”
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Workflow Modelling and Analysis Based on the Construction of Task Models by Glória Cravo

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A new class of generalized polynomials associated with Milne-Thomson-based poly-Bernoulli polynomials by Waseem Ahmad Khan, Divesh Srivastava, Kottakkaran Sooppy Nisar

“…Motivated by their importance and potential for applications in certain problems in number theory, combinatorics, classical and numerical analysis, and other field of applied mathematics, a variety of polynomials and numbers with their variants and extensions have recently been introduced and investigated. …”
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Problems for combinatorial numbers satisfying a class of triangular arrays by Igoris Belovas

“…In this work, we derive the general analytic expression of the numbers satisfying a class of triangular arrays and propose problems (both teaching and unsolved ones) for undergraduates studying probability theory and analytical combinatorics subjects in the study programs of the fields of mathematics and computer science. …”
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Modification des prédicats d’achèvements par les compléments de manière by Dejan Stosic

“…Based on a sample of 4,000 sentences excerpted from Le Clézio’s novel Étoile errante, a detailed analysis of the combinatorics of verbal predicates and manner adjuncts has been carried out in order to verify whether and to what extent the four Vendlerian classes (States, Activities, Accomplishments and Achievements) are compatible with a syntagmatic specification of manner. …”
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APPLICATION OF LEXICOGRAPHIC METHODS IN FINDING NEW SOLUTIONS FOR THE CONSTRUCTION OF SWITCH FAUCETS by VLAD ANDREI CIUBOTARIU, IONEL OLARU, CRINA MARIA RADU, COSMIN GRIGORAS

“…For the elaboration and efficient use of logical-deductive methods and techniques in creativity, it is necessary to know a minimum of combinatorics, which include arrangements, combinations, permutations, graphs and finite networks. …”
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Translational and great Darboux cyclides by Lubbes, Niels

“…These are some corollaries from our classification of translational and great Darboux cyclides. We use the combinatorics associated to the set of low degree curves on such surfaces modulo numerical equivalence.…”
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The Principle of Mathematical Induction: Applications in Physical Optics by Joseph Ivin Thomas

“…In the contemporary university milieu, the demonstrative scheme is taught as part of a course in discrete mathematics, set theory, number theory, graph theory, group theory, game theory, linear algebra, logic, and combinatorics. In theoretical computer science, it bears the pivotal role of developing the appropriate cognitive skills necessary for the effective design and implementation of algorithms, assessing for both their correctness and complexity. …”
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s-Goodness for Low-Rank Matrix Recovery by Lingchen Kong, Levent Tunçel, Naihua Xiu

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Amplification of factors of regional markets transformations in the context of generation theory by R. S. Blizkiy, E. A. Divaeva

“…The researchers propose to consider combinatorics of the generations theory factors within the framework of Russian regional markets development. …”
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On a problem of Nathanson related to minimal asymptotic bases of order $h$ by Chen, Shi-Qiang, Sándor, Csaba, Yang, Quan-Hui

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Optimasi Rute Rencana Perjalanan Pesawat Menggunakan Algoritma Late Acceptance Hill Climbing (Studi Kasus : Travelling Salesman Challenge 2.0) by Ahmad Muklason, I Gusti Agung Premananda

“…Abstract The Traveling Salesman Problem (TSP) is a classic problem that is popularly researched in the field of combinatorics optimization. This problem aims to determine the shortest travel route to visit each location exactly once and, at the end of the trip, must return to where the trip started. …”
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The Singularity of the <i>K</i>₄ Homeomorphic Graph by Haicheng Ma

“…The singularity of graphs is of certain interest in graph theory and algebraic combinatorics. For positive integers <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>a</mi><mi>i</mi></msub><mo>≥</mo><mn>2</mn></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>i</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mo>…</mo><mo>,</mo><mn>6</mn></mrow></semantics></math></inline-formula>. …”
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The GeoTox Package: open-source software for connecting spatiotemporal exposure to individual and population-level risk by Kyle P. Messier, David M. Reif, Skylar W. Marvel

“…This is especially true when considering individual and population-level diversity, where the myriad combinations of real-world exposures magnify the combinatoric challenges. The GeoTox framework offers a tractable solution by integrating geospatial exposure data from source-to-outcome in a series of modular, interconnected steps. …”
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Preparation of future teachers for innovative activities in pedagogical and technological educational environment by N. I. Naumkin, N. N. Shekshaeva, V. F. Kupryashkin, E. V. Zabrodina

“…The environment includes conceptually-targeted, infrastructural, content-based, psychological-didactic, methodological-technological and relaxation-diagnostic components, its features are the following: 1) focus on innovative training of technology teachers as directly related to the material objects of the innovative economy of the country; 2) universality in the form of the possibility of using it to solve other educational tasks; 3) graphical visualisation of the environment model with an indication of the hierarchy and interrelation of components, its scale, combinatoricity and functional sufficiency; 4) compliance of the environment with all the requirements of regulatory documents on educational activities at the university; 5) possibility of full-scale implementation of modern approaches to learning (innovative, personalised, environmental, project, etc.); 6) possibility of constant monitoring and control of the implementation of the environment within its relaxation and diagnostic component; 7) use of modern educational technologies, including digital; 8) possibility of obtaining specialised knowledge and studying other disciplines within the framework of using network learning; 9) innovativeness of the environment, determined by the novelty of the approach to teaching the teachers innovation technology and its effectiveness.To teach innovation activity in this environment, a model of a methodological system for the formation of competence in innovation activity among future technology teachers has been created, combining conceptually-targeted, meaningful, instrumental-activity and reflexive-evaluative components. …”
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