Results 31 to 40 of about 3,208,584 (371)
Kac-Moody Extensions of 3-Algebras and M2-branes [PDF]
We study the 3-algebraic structure involved in the recently shown M2-branes worldvolume gauge theories. We first extend an arbitrary finite dimensional 3-algebra into an infinite dimensional 3-algebra by adding a mode number to each generator.
Lin, Hai
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Wrońskian algebra and Broadhurst–Roberts quadratic relations [PDF]
Through algebraic manipulations on Wronskian matrices whose entries are reducible to Bessel moments, we present a new analytic proof of the quadratic relations conjectured by Broadhurst and Roberts, along with some generalizations.
Yajun Zhou
semanticscholar +1 more source
Theory of overparametrization in quantum neural networks [PDF]
The prospect of achieving quantum advantage with quantum neural networks (QNNs) is exciting. Understanding how QNN properties (for example, the number of parameters M) affect the loss landscape is crucial to designing scalable QNN architectures.
Martín Larocca+4 more
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Why is Quantum Physics Based on Complex Numbers? [PDF]
The modern quantum theory is based on the assumption that quantum states are represented by elements of a complex Hilbert space. It is expected that in future quantum theory the number field will be not postulated but derived from more general principles.
Lev, Felix
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The Largest Subsemilattices of the Endomorphism Monoid of an Independence Algebra [PDF]
An algebra $\A$ is said to be an independence algebra if it is a matroid algebra and every map $\al:X\to A$, defined on a basis $X$ of $\A$, can be extended to an endomorphism of $\A$.
Araújo, João+2 more
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Algorithms in Algebraic Number Theory [PDF]
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openaire +3 more sources
Systematic risk is one of the well-known indices involved in the market situation study. One of the disadvantages of scientific studies of market indices is the lack of involving extreme changes such as embargos and other crises in the model. The present
Anouar Ben Mabrouk+2 more
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Quantum solutions of a nonlinear Schrödinger equation [PDF]
In the present paper, we precisely conduct a quantum calculus method for the numerical solutions of PDEs. A nonlinear Schrödinger equation is considered. Instead of the known classical discretization methods based on the finite difference scheme, Adomian
S. Arfaoui, Ben Mabrouk
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This paper investigates a theoretical model for the interaction between electrons and holes (E/H) in elastic non-local semiconductors. When the medium is activated by photo-energy because of high temperatures, an optical-elastic-thermal-diffusion (OETD ...
Riadh Chteoui+3 more
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Primary decompositions of unital locally matrix algebras [PDF]
We construct a unital locally matrix algebra of uncountable dimension that (1) does not admit a primary decomposition, (2) has an infinite locally finite Steinitz number. It gives negative answers to questions from [V. M.
Oksana Bezushchak, Bogdana Oliynyk
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