Results 11 to 20 of about 2,764,315 (203)
本研究建立了一个结合分形几何try 和数论的新型公理框架,揭示了数学工具与空间维度之间的动态关系。通过构建与维度相关的测度理论和分数阶微分方程,我们首次在实验系统中观察到了数学定律的维度敏感性。通过受控石墨烯褶皱实验和分形动力学模拟,验证了重整化微分算子与维度参数之间的定量关系,为基础数学研究提供了新的实证范式。
changzheng zhou, ZIQING zhou
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A relation between transfinite induction and mathematical induction in elementary number theory [PDF]
Tsukuba Journal of Mathematics, 1977 Kokio Shirai
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Mathematical Elements of Density Functional Theory [PDF]
, 2022 We review some of the basic mathematical results about density functional theory.
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Higher Topos Theory in Physics [PDF]
Encyclopedia of Mathematical Physics 2nd ed., Vol. 4 (2025) 62-76, 2023 A brief exposition of the point of higher topos theory in (mathematical) physics, commissioned for the Encyclopedia of Mathematical Physics 2nd ed.
arxiv +1 more source
Connecting Number Theory with High School Mathematics [PDF]
, 2023 Number theory is the study of natural numbers and one of the oldest branches of mathematics. Elementary number theory concepts are integrated into K-12 learning experience. This paper will identify ideas and methods in elementary number theory that could
Richmond, Andre
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University Mathematics Didactic Research on Number Theory, Algebra, Discrete Mathematics, Logic
, 2020 International audience; The paper summarizes the contributions and the discussions to the INDRUM Working Group on Research on Number Theory, Algebra, Discrete Mathematics, Logic. Ten oral communications have been presented, reflecting the variety of the thematic of Number Theory, Algebra, Discrete Mathematics, Logic.
Rolf Biehler, Viviane Durand-Guerrier
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, 2007 Coding theory lies naturally at the intersection of a large number of disciplines in pure and applied mathematics: algebra and number theory, probability theory and statistics, communication theory, discrete mathematics and combinatorics, complexity ...
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A novel theoretical framework formulated for information discovery from number system and Collatz conjecture data [PDF]
, 2015 Newly discovered fundamental theories (metamathematics) of integer numbers may be used to formalise and formulate a new theoretical number system from which other formal analytical frameworks may be discovered, primed and developed.
Idowu, Michael A.
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Ring Learning With Errors: A crossroads between postquantum cryptography, machine learning and number theory [PDF]
, 2020 The present survey reports on the state of the art of the different cryptographic functionalities built upon the ring learning with errors problem and its interplay with several classical problems in algebraic number theory.
Chacón, Iván Blanco
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Graduate Studies in Mathematics, 1992 Notation Introduction 1. Algebraic foundations 2. Dedekind domains 3. Extensions 4. Classgroups and units 5. Fields of low degree 6. Cyclotomic fields 7. Diophantine equations 8. L-functions Appendices Exercises Glossary of theorems Index.
James S. Milne
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