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Synthesis Lectures on Mathematics and StatisticsMathematical Logic is the science of reasoning used to represent the statements to communicate the facts. It provides rules by which one can determine whether any particular argument is valid or not. A proposition is defined as statement, that is either true or false but not both. It is used to describe any Mathematical structure.
George Tourlakis
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Mathematical modelling and discrete mathematics: opportunities for modern mathematics teaching [PDF]
ZDM - International Journal on Mathematics Education, 2022 Gabriele Kaiser +2 more
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Discrete mathematics as a resource for developing scientific activity in the classroom [PDF]
ZDM - International Journal on Mathematics Education, 2022 Alvaro Liendo, Ximena Colipan
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$L^p$-$L^q$ Boundedness of Spectral Multipliers of the Anharmonic Oscillator
Comptes Rendus. Mathématique, 2022 In this note we study the $L^p-L^q$ boundedness of Fourier multipliers of anharmonic oscillators, and as a consequence also of spectral multipliers, for the range ...
Chatzakou, Marianna, Kumar, Vishvesh
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On minimum intersections of certain secondary dominating sets in graphs [PDF]
Opuscula Mathematica, 2023 In this paper we consider secondary dominating sets, also named as \((1,k)\)-dominating sets, introduced by Hedetniemi et al. in 2008. In particular, we study intersections of the \((1,1)\)-dominating sets and proper \((1,2)\)-dominating sets.
Anna Kosiorowska +2 more
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Local irregularity conjecture for 2-multigraphs versus cacti [PDF]
Opuscula Mathematica, 2023 A multigraph is locally irregular if the degrees of the end-vertices of every multiedge are distinct. The locally irregular coloring is an edge coloring of a multigraph \(G\) such that every color induces a locally irregular submultigraph of \(G\).
Igor Grzelec, Mariusz Woźniak
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Time-stage driven pathfinding framework for optimized medical treatments
Cogent Engineering, 2023 Coming up with the correct patient-specific treatment procedure is a non-trivial task. One of the main challenges is that the problem is combinatorial, and each treatment can be followed by numerous treatments.
Karen Gishyan +2 more
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Decomposing 10-Regular Graphs into Paths of Length 5
Discussiones Mathematicae Graph Theory, 2022 Let G be a 10-regular graph which does not contain any 4-cycles. In this paper, we prove that G can be decomposed into paths of length 5, such that every vertex is a terminal of exactly two paths.
Xie Mengmeng, Zhou Chuixiang
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IEEE Access, 2020 In addition to wirelength and area, modern floorplans need to consider various constraints such as fixed-outline. To handle the fixed-outline floorplanning optimization problem efficiently, we propose an improved simulated annealing (SA) algorithm, which
Zhipeng Huang +3 more
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Teaching of Discrete Mathematics [PDF]
, 2002 This paper presents an alternative methodology of development for the discipline of Discrete Mathematics offered to courses in the area of computation. It explores the availability of new teaching tools and programming languages. This way, we try to stimulate and provide students with an environment in which they can reach better results in order that ...
Simone C. Mendes +2 more
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