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Hypercompositional Algebra, Computer Science and Geometry [PDF]
Mathematics, 2020 The various branches of Mathematics are not separated between themselves. On the contrary, they interact and extend into each other’s sometimes seemingly different and unrelated areas and help them advance. In this sense, the Hypercompositional Algebra’s path has crossed, among others, with the paths of the theory of Formal Languages, Automata and ...
Gerasimos Massouros, Christos Massouros
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Logic, Algebra, and Geometry at the Foundation of Computer Science [PDF]
, 2019 This paper shows by examples how the Theory of Programming can be taught to first-year CS undergraduates. The only prerequisite is their High School acquaintance with algebra, geometry, and propositional calculus. The main purpose of teaching the subject is to support practical programming assignments and projects throughout the degree course. The aims
Tony Hoare +2 more
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Geometry, analysis, and computation in mathematics and applied sciences. Final report [PDF]
, 1995 Since 1993, the GANG laboratory has been co-directed by David Hoffman, Rob Kusner and Peter Norman. A great deal of mathematical research has been carried out here by them and by GANG faculty members Franz Pedit and Nate Whitaker. Also new communication tools, such as the GANG Webserver have been developed. GANG has trained and supported nearly a dozen
Kusner, R. B. +5 more
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On recent trends in discrete geometry in computer science [PDF]
, 1996 This paper could be called “pieces on recent trends ...”. It is a set of remarks and thoughts about the actual and the potential development of discrete geometry; especially in computer imagery, and its interaction with geometrical modelling. My personnal view on some recent trends are exposed.
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Computational Algebraic Geometry as a Computational Science Elective
The Journal of Computational Science Education, 2010 This paper presents a new mathematics elective for an undergraduate Computational Science program. Algebraic Geometry is a theoretical area of mathematics with a long history, often highlighted by extreme abstraction and difficulty. This changed in the 1960’s when Bruno Buchberger created an algorithm that allowed Algebraic Geometers to compute ...
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Using the e-learning course “Analytic Geometry” in the process of training students majoring in Computer Science and Information Technology [PDF]
CTE Workshop Proceedings, 2019 As a result of literature analysis the expediency of free access of bachelors majoring in Computer Sciences and Information Technologies to modern information educational resources, in particular, e-learning courses in the process of studying mathematical disciplines is substantiated.
Oksana M. Hlushak +2 more
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Differential Geometry and its Applications, 2022 Many fundamental questions in theoretical computer science are naturally expressed as special cases of the following problem: Let $G$ be a complex reductive group, let $V$ be a $G$-module, and let $v,w$ be elements of $V$. Determine if $w$ is in the $G$-orbit closure of $v$.
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[Geometry, analysis, and computation in mathematics and applied science]. Progress report [PDF]
, 1994 The principal investigators` work on a variety of pure and applied problems in Differential Geometry, Calculus of Variations and Mathematical Physics has been done in a computational laboratory and been based on interactive scientific computer graphics and high speed computation created by the principal investigators to study geometric interface ...
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International Journal of Emerging Technologies in Learning (iJET)The purpose of this study is to provide an interdisciplinary approach to fractals within the traditional school curriculum. The proposed activities are expected to help teachers to provide a comprehensive and engaging learning experience for students that fosters deeper understanding, creativity, and connections within the sciences.
Eleni Tzanaki +3 more
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Chemical Engineering Transactions, 2016 The present paper demonstrates and discusses the development of a coherent technology for both gas explosion and fire safety assessment in the oil and gas industry based on the Eddy Dissipation Concept (EDC). The physical basis of the concept is recapitulated and the implementation and application of the EDC model in the advanced KFX™ computational ...
Rian, Kjell Erik +6 more
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