Results 111 to 120 of about 10,381,547 (314)
Characteristic numbers of algebraic varieties [PDF]
Proceedings of the National Academy of Sciences, 2009 A rational linear combination of Chern numbers is an oriented diffeomorphism invariant of smooth complex projective varieties if and only if it is a linear combination of the Euler and Pontryagin numbers. In dimension at least 3, only multiples of the top Chern number, which is the Euler characteristic, are invariant under diffeomorphisms that are not ...
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Advanced Intelligent Discovery, EarlyView.A crystal graph neural network based on the attention mechanism is proposed in this work. The model dynamically weights features through the attention mechanism, enabling precise prediction of properties of material from structural features. Here, taking Janus III–VI van der Waals heterostructures as a representative case, the properties have been ...
Yudong Shi +7 more
wiley +1 more source
A Shared Control Method of Multiobjective Motion Fusion for Surgical Robot
Advanced Intelligent Systems, EarlyView.This paper proposes an innovative shared control method that can handle multiple objectives task by integrating various types of controllers. It not only takes into account the priorities among the objectives but also allows for the flexible addition or removal of objective controllers.
Xilin Xiao +7 more
wiley +1 more source
On the number of good approximations of algebraic numbers by algebraic numbers of bounded degree [PDF]
Acta Arithmetica, 1999 only a finite number of solutions. Unfortunately, the underlying method of Thue–Siegel–Roth is ineffective in the sense that it does not provide upper bounds for y or H0(β) respectively. However, it allows giving an explicit upper bound for the number of x/y ∈ Q satisfying (1.1). A first result was proved by Davenport and Roth ([3], 1955).
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Reprogrammable, In‐Materia Matrix‐Vector Multiplication with Floppy Modes
Advanced Intelligent Systems, EarlyView.This article describes a metamaterial that mechanically computes matrix‐vector multiplications, one of the fundamental operations in artificial intelligence models. The matrix multiplication is encoded in floppy modes, near‐zero force deformations of soft matter systems.
Theophile Louvet +2 more
wiley +1 more source
On the quantum security of high-dimensional RSA protocol
Journal of Mathematical CryptologyThe idea of extending the classical RSA protocol using algebraic number fields was introduced by Takagi and Naito (Construction of RSA cryptosystem over the algebraic field using ideal theory and investigation of its security.
Rahmani Nour-eddine +3 more
doaj +1 more source
Frobenius' Theorem on Division Algebras [PDF]
arXivFrobenius' Theorem states that the only finite-dimensional real division algebras are the algebra of real numbers $\mathbb R$, the algebra of complex numbers $\mathbb C$, and the algebra of quaternions $\mathbb H$. We present a short proof which uses only standard undergraduate mathematics.
arxiv
Nonassociative Solomon's descent algebras [PDF]
arXiv, 2018 Descent algebras of graded bialgebras were introduced by F. Patras as a generalization of Solomon's descent algebras for Coxeter groups of type $A$, i.e. symmetric groups. The universal enveloping algebra of the free Lie algebra on a countable number of generators, its descent algebra and Solomon's descent algebra, with its outer product, for symmetric
arxiv
On the infrastructure of the principal ideal class of an algebraic number field of unit rank one
, 1988 Let R be the regulator and let D be the absolute value of the discriminant of an order 0 of an algebraic number field of unit rank 1. It is shown how the infrastructure idea of Shanks can be used to decrease the number of binary operations needed to ...
J. Buchmann, H. Williams
semanticscholar +1 more source
Localized and Extended Phases in Square Moiré Patterns
Annalen der Physik, EarlyView.Rotated superimposed lattices in two dimensions, the termed moiré patterns, represent a clear example of how the structure affects the physical properties of a particle moving on it. A robust numerical treatment of continuous and discrete models leads to confirm that while localized states result from angles that produce non‐commensurable lattices ...
C. Madroñero +2 more
wiley +1 more source