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Mathematical Fundamentals I: Number Theory
2020There are many cryptosystems that are based on modular arithmetic (also known in some contexts as residue arithmetic); examples of such systems are given in the next chapter. This chapter covers some of the fundamentals of modular arithmetic and will be a brief review or introduction, according to the reader’s background.
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Computer Algebra in the Service of Mathematical Physics and Number Theory
2020Methods of computer algebra become more familiar to a wide audience of theoretical mathematicians and physicists. The environment of computer algebra system leads to a greater acceptance of computer instruments in the mathematical research. Methods of symbolic manipulation provided by computer algebra systems in combination with high-power number ...
G. V. Chudnovsky, D. V. Chudnovsky
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Number theory in mathematics education: Perspectives and prospects
Canadian Journal of Science, Mathematics and Technology Education, 2007Zazkis, R., & Campbell, S.R. (Eds.). (2006). Number Theory in Mathematics Education: Perspectives and Prospects. Mahwah, NJ: Lawrence Erlbaum. ISBN 0–8058–5407‐X (cloth); 0–8058–5408–8 (paper)
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A Mathematical Theory of Fuzzy Numbers
2013The essence of granular computing GrC is to replace the concept of points in classical mathematics by that of granules. Usual fuzzy number systems are obtained by using type I fuzzy sets as granules. These fuzzy number systems have a common weakness - lack of existence theorem.
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Number Theory as a Core Mathematical Discipline
1995In recent years there has been much discussion of the role of calculus in mathematics education. Calculus is the de facto qualification for entry to higher mathematics at most institutions, but is it still the best? Compare its role with that of Euclidian geometry, which was the entry qualification until last century.
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Microcomputer-Assisted Mathematics: Exploring Number Theory with a Microcomputer
The Mathematics Teacher, 1986It is clear that the computer can take much of the drudgery out of many mathematical analyses. Problems involving large sets of data requiring sorting, ordering, and laborious calculations readily come to mind. The computer is designed to handle such problems quickly and accurately.
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Analysis, Geometry, Number Theory: The Mathematics of Leon Ehrenpreis
2000On a problem of injectivity for the Radon transform on a paraboloid by M. Agranovsky Anti-self-dual symplectic forms and integral geometry by J. C. Alvarez Holomorphic extendibility of functions via nonlinear Fourier transforms by T. T. Banh Division-interpolation methods and Nullstellensatze by C. A. Berenstein and A.
G. Mendoza +4 more
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A contribution of number theory and data compression to mathematical modeling
Proceedings of SOUTHEASTCON '96, 2002A new number-theoretic approach describing the transformation of a set of data into a finite binary string is given. By applying a lossless data compression method to this string and viewing it as a restricted partition, the data can be plotted as a point on a number line, a plane, or in a 3- or 4-dimensional space for the purpose of storage and ...
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Quantum Jacobi forms in number theory, topology, and mathematical physics
Research in the Mathematical Sciences, 2019We establish three infinite families of quantum Jacobi forms, arising in the diverse areas of number theory, topology, and mathematical physics, and unified by partial Jacobi theta functions.
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1992
It is a great pleasure for me to be speaking today here in Vienna. It’s a particularly great pleasure for me to be here because Vienna is where the great work of Godel and Boltzmann was done, and their work is a necessary prerequisite for my own ideas. Of course the connection with Godel was explained in Prof.
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It is a great pleasure for me to be speaking today here in Vienna. It’s a particularly great pleasure for me to be here because Vienna is where the great work of Godel and Boltzmann was done, and their work is a necessary prerequisite for my own ideas. Of course the connection with Godel was explained in Prof.
openaire +2 more sources