Results 121 to 130 of about 3,220,446 (374)
Localized and Extended Phases in Square Moiré Patterns
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
Hom-structures on semi-simple Lie algebras
A Hom-structure on a Lie algebra (g,[,]) is a linear map σ W g σ g which satisfies the Hom-Jacobi identity: [σ(x), [y,z]] + [σ(y), [z,x]] + [σ(z),[x,y]] = 0 for all x; y; z ∈ g. A Hom-structure is referred to as multiplicative if it is also a Lie algebra
Xie Wenjuan, Jin Quanqin, Liu Wende
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Rationality of cycles over function fields of $SL_1(A)$-torsors [PDF]
In this note we prove a result comparing rationality of algebraic cycles over the function field of a $SL_1(A)$-torsor for a central simple algebra $A$ and over the base field.
arxiv
Algebraic Cayley graphs over finite fields
A new algebraic Cayley graph is constructed using finite fields. Its connectedness and diameter bound are studied via Weil's estimate for character sums. These graphs provide a new source of expander graphs, extending classical results of Chung.
Lu, M, Wan, D, Wang, L-P, Zhang, X-D
openaire +5 more sources
Prerequisite Relations Annotation Tool: Annotation and analysis of educational relations in texts
Abstract Relations between terms in texts have long been studied in linguistics and specialized knowledge domains, especially when occurring in educational materials like textbooks, where they play a crucial role in guiding instructional design and learning.
Chiara Alzetta, Ilaria Torre
wiley +1 more source
On Hopf Galois Hirata extensions
Let H be a finite-dimensional Hopf algebra over a field K, H* the dual Hopf algebra of H, and B a right H*-Galois and Hirata separable extension of BH. Then B is characterized in terms of the commutator subring VB(BH) of BH in B and the smash product VB ...
George Szeto, Lianyong Xue
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Abstract This article addresses the cooperative output consensus tracking problem for high‐order heterogeneous multi‐agent systems via a distributed proportional‐integral‐derivative (PID)‐like control strategy and proposes two novel control methodologies for the tuning of the control gains, which do not require any assumption and/or limitation on agent
Dario Giuseppe Lui+2 more
wiley +1 more source
Corestrictions of algebras and splitting fields
Given a field $F$, an \'etale extension $L/F$ and an Azumaya algebra $A/L$, one knows that there are extensions $E/F$ such that $A \otimes_F E$ is a split algebra over $L \otimes_F E$.
Krashen, Daniel
core +1 more source
Full‐order observer design for quadratic port‐controlled Hamiltonian systems
Abstract The full‐order observer design problem for a particular class of port‐controlled Hamiltonian systems is approached in this paper. The proposed full‐order observer scheme belongs to the structure preserving class of dynamic estimators as it preserves the natural stability properties of the approached class of systems that are useful for the ...
Michael Rojas+2 more
wiley +1 more source
On Marginal Automorphisms of Free Nilpotent Lie Algebras
Let L be the free nilpotent Lie algebra of finite rank over a field of characteristic zero. We define the concepts of marginal ideals and marginal automorphisms of L, and we give some results on marginal automorphisms.
Özge Öztekin
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