Results 1 to 10 of about 3,146,498 (372)

A computational introduction to number theory and algebra [PDF]

open access: greenMathematics of Computation, 2006
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
semanticscholar   +3 more sources

Unordered Tuples in Quantum Computation [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2015
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
doaj   +7 more sources

The Missing Spectral Basis in Algebra and Number Theory [PDF]

open access: greenThe American mathematical monthly, 2001
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
openalex   +2 more sources

SICs and Algebraic Number Theory [PDF]

open access: greenFoundations of Physics, 2017
15 pages, 1 figure, AMS Latex, talk at the conference "Quantum and Beyond", Vaxjo, Sweden ...
Marcus Appleby   +3 more
openalex   +5 more sources

Theory of Cyclic Algebras Over An Algebraic Number Field [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1932
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
openalex   +3 more sources

Modular Construction of Topological Interlocking Blocks—An Algebraic Approach for Resource-Efficient Carbon-Reinforced Concrete Structures

open access: yesBuildings, 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
doaj   +1 more source

Kinematic Hopf Algebra for Bern-Carrasco-Johansson Numerators in Heavy-Mass Effective Field Theory and Yang-Mills Theory. [PDF]

open access: yesPhysical Review Letters, 2021
We 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
semanticscholar   +1 more source

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