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A computational introduction to number theory and algebra [PDF]
Mathematics of Computation, 2006Principles of Applied Mathematics provides a comprehensive look at how classical methods are used in many fields and contexts. Updated to reflect developments of the last twenty years, it shows how two areas of classical applied mathematics spectral ...
Victor Shoup
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Unordered Tuples in Quantum Computation [PDF]
Electronic Proceedings in Theoretical Computer Science, 2015It is well known that the C*-algebra of an ordered pair of qubits is M_2 (x) M_2. What about unordered pairs? We show in detail that M_3 (+) C is the C*-algebra of an unordered pair of qubits. Then we use Schur-Weyl duality to characterize the C*-algebra
Robert Furber, Bas Westerbaan
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The Missing Spectral Basis in Algebra and Number Theory [PDF]
The American mathematical monthly, 2001The justified fame of the Euclidean algorithm derives from the fact that it has a much larger realm of applicability than just the integers. In particular, let K be any field and let K[x] be the corresponding integral domain of polynomials over K.
Garret Sobczyk
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SICs and Algebraic Number Theory [PDF]
Foundations of Physics, 201715 pages, 1 figure, AMS Latex, talk at the conference "Quantum and Beyond", Vaxjo, Sweden ...
Marcus Appleby+3 more
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Theory of Cyclic Algebras Over An Algebraic Number Field [PDF]
Transactions of the American Mathematical Society, 1932I present this paper for publication to an American journal and in English for the following reason: The theory of linear algebras has been greatly extended through the work of American mathematicians. Of late, German mathematicians have become active in this theory.
Helmut Hasse
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Preface to Algebra and Number Theory [PDF]
AIP Conference Proceedings, 2019Temha Erkoc
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Geometric Methods in Algebra and Number Theory
, 2005Fedor Bogomolov, Yuri Tschinkel
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Buildings, 2023
An algebraic approach to the design of resource-efficient carbon-reinforced concrete structures is presented. Interdisciplinary research in the fields of mathematics and algebra on the one hand and civil engineering and concrete structures on the other ...
Sascha Stüttgen+5 more
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An algebraic approach to the design of resource-efficient carbon-reinforced concrete structures is presented. Interdisciplinary research in the fields of mathematics and algebra on the one hand and civil engineering and concrete structures on the other ...
Sascha Stüttgen+5 more
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Kinematic Hopf Algebra for Bern-Carrasco-Johansson Numerators in Heavy-Mass Effective Field Theory and Yang-Mills Theory. [PDF]
Physical Review Letters, 2021We present a closed formula for all Bern-Carrasco-Johansson (BCJ) numerators describing D-dimensional tree-level scattering amplitudes in a heavy-mass effective field theory with two massive particles and an arbitrary number of gluons.
A. Brandhuber+4 more
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