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Explorable Discrete Mathematics: a Python-based undergraduate-level teaching approach

Anais do XXXV Simpósio Brasileiro de Informática na Educação (SBIE 2024)
Discrete Mathematics is a foundational yet demanding introductory subject for Computer Science curricula, where undergraduate students typically have difficulties grasping its concepts and applications.
M. Malheiros, Claus Haetinger
semanticscholar   +1 more source

Discrete mathematics for strengthening multivariate polynomial cryptography by addressing vulnerabilities

Journal of Discrete Mathematical Sciences and Cryptography
Multivariate Polynomial Cryptography (MPC) has emerged as a promising candidate for securing digital communication in the post-quantum era. Despite its potential, existing MPC schemes exhibit vulnerabilities that compromise their effectiveness against ...
Ginika Mahajan   +4 more
semanticscholar   +1 more source

Computational Discrete Mathematics

2003
This book was first published in 2003. Combinatorica, an extension to the popular computer algebra system Mathematica®, is the most comprehensive software available for teaching and research applications of discrete mathematics, particularly combinatorics and graph theory.
Sriram Pemmaraju, Steven Skiena
openaire   +1 more source

A Review of Discrete Mathematics in Artificial Intelligence

INTERANTIONAL JOURNAL OF SCIENTIFIC RESEARCH IN ENGINEERING AND MANAGEMENT
- The foundation of many Artificial Intelligence (AI) approaches and algorithms is discrete mathematics. Graph theory, combinatorics, and logic are just a few of the discrete mathematics fields that provide substantial contributions to AI.
Neeta Ravindra Mohite, Dr. G.J. Chhajed
semanticscholar   +1 more source

Machine Learning meets Algebraic Combinatorics: A Suite of Datasets Capturing Research-level Conjecturing Ability in Pure Mathematics

arXiv.org
With recent dramatic increases in AI system capabilities, there has been growing interest in utilizing machine learning for reasoning-heavy, quantitative tasks, particularly mathematics.
Herman Chau   +6 more
semanticscholar   +1 more source

Combinatorics, Second Edition

2017
Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of combinatorial objects.
openaire   +2 more sources

Discrete Geometry

Oberwolfach Reports
A number of important recent developments in various branches of discrete geometry were presented at the workshop. The presentations illustrated both the diversity of the area and its strong connections to other fields of mathematics such as convex ...
Karim Adiprasito   +2 more
semanticscholar   +1 more source

The Future of Quantum Theory of Angular Momentum

2000
THE QUANTUM THEORY OF ANGULAR MOMENTUM began with Bohr’s enunciation of the rules for the quantization of orbital angular momentum in 1913, and the refinement of these rules by Sommerfeld [1] and Lande [2] within the framework of the old quantum theory.
openaire   +2 more sources

Discrete metal nanoparticles with plasmonic chirality

Chemical Society Reviews, 2021
Guangchao Zheng   +2 more
exaly  

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