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A computational introduction to number theory and algebra [PDF]
Principles 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]
It 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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Function Theories in Cayley-Dickson Algebras and Number Theory [PDF]
In the recent years a lot of effort has been made to extend the theory of hyperholomorphic functions from the setting of associative Clifford algebras to non-associative Cayley-Dickson algebras, starting with the octonions.
Rolf Sören Kraußhar
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The Missing Spectral Basis in Algebra and Number Theory [PDF]
The 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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Theory of Cyclic Algebras Over An Algebraic Number Field [PDF]
I 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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SICs and Algebraic Number Theory [PDF]
15 pages, 1 figure, AMS Latex, talk at the conference "Quantum and Beyond", Vaxjo, Sweden ...
Marcus Appleby+3 more
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Preface to Algebra and Number Theory [PDF]
Temha Erkoc
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Geometric Methods in Algebra and Number Theory
Fedor Bogomolov, Yuri Tschinkel
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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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