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Mathematical modelling and discrete mathematics: opportunities for modern mathematics teaching. [PDF]
AbstractDiscrete mathematics and mathematical modelling, along with the educational discourse surrounding these, have many connections. However, ways that the educational discourse on discrete mathematics can benefit from the inclusion of examples of mathematical modelling and the accompanying discussion are currently under-researched.
Greefrath G+3 more
europepmc +6 more sources
In this volume, the authors present a self-contained introduction to discrete mathematics – the science of finite and countably infinite structures. In addition to taking a theoretical approach, they also include many practical exercises. The text covers a broad range of topics such as propositional logic, set theory as well as detailed treatments of ...
Boschini, Cecilia+2 more
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The purpose of the present work is to provide short and supple teaching notes for a $30$ hours introductory course on elementary \textit{Enumerative Algebraic Combinatorics}. We fully adopt the \textit{Rota way}. The themes are organized into a suitable sequence that allows us to derive any result from the preceding ones by elementary processes ...
Brini, Andrea, Teolis, Antonio
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This review discusses the use of Surface‐Enhanced Raman Spectroscopy (SERS) combined with Artificial Intelligence (AI) for detecting antimicrobial resistance (AMR). Various SERS studies used with AI techniques, including machine learning and deep learning, are analyzed for their advantages and limitations.
Zakarya Al‐Shaebi+4 more
wiley +1 more source
Software is discrete mathematics [PDF]
A three-year study collected information bearing on the question of whether studying mathematics improves programming skills. An analysis of the data revealed significant differences in the programming effectiveness of two populations of students: (1) those who studied discrete mathematics through examples focused on reasoning about software and (2 ...
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Discrete Mathematics and Symmetry [PDF]
Some of the most beautiful studies in Mathematics are related to Symmetry and Geometry. For this reason, we select here some contributions about such aspects and Discrete Geometry. As we know, Symmetry in a system means invariance of its elements under conditions of transformations.
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Application of Discrete Mathematics for Programming Discrete Mathematics Calculations
In the discrete mathematics courses, topics, such as the calculation of the element in any position of a sequence of numbers generated by some recurrence relation, calculation of multiplicative inverses in algebraic ring structures modulo a number n, obtaining the complete list of combinations without repetition, for which you can take advantage of the
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The textbook contains the basic theoretical information of the discrete mathematics course, examples of assignments for each topic of the discipline and assignments for self-fulfillment.
O. Porkurian, A. Timoshyn, V. Davydenko
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The contrast transfer function (CTF) is an imaging aberration that is a major resolution‐limiting factor in cryo‐electron microscopy (cryo‐EM). Precise CTF estimation is key to overcoming this limitation, but is particularly challenging in cryo‐electron tomography (cryo‐ET) data. Here, we present an approach for using geometric information to assist in
Sagar Khavnekar, William Wan
wiley +1 more source
A Survey of the Differential Geometry of Discrete Curves [PDF]
Discretization of curves is an ancient topic. Even discretization of curves with an eye toward differential geometry is over a century old. However there is no general theory or methodology in the literature, despite the ubiquitous use of discrete curves
Carroll, Daniel+3 more
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