Results 61 to 70 of about 231,503 (267)
Nonlinear AnalysisIn a three-phase symmetric power system, we propose a transformation that converts the original current to a current with minimal losses while preserving the standard constraints. The selected transformation is realized in suitable geometric algebra and
Johanka Brdečková, Jaroslav Hrdina
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Physical Review Physics Education Research, 2019 Mathematical reasoning with algebraic and geometric representations is essential for success in upper-division and graduate-level physics courses. Complex algebra requires student to fluently move between algebraic and geometric representations.
Emily M. Smith +2 more
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Homotopy Lie algebra of the complements of subspace arrangements with geometric lattices
, 2007 Let A be a geometric arrangement such that codim(x) > 1 for every x in A. We prove that, if the complement space M(A) is rationally hyperbolic, then there exists an injective from a free Lie algebra L(u,v) to the homotopy Lie algebra of M(A).Comment: 9 ...
Debongnie, G.
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Advanced Science, EarlyView.Computational Photochemistry has made great strides in recent decades, but the investigation of larger molecules remains a challenge due to the inherent dilemma between the increasing computational accuracy required as the molecule size increases and the inevitable explosion in computational effort.
Andreas Dreuw
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Non-geometric Kaluza-Klein monopoles and magnetic duals of M-theory R-flux backgrounds
Journal of High Energy Physics, 2017 We introduce a magnetic analogue of the seven-dimensional nonassociative octonionic R-flux algebra that describes the phase space of M2-branes in four-dimensional locally non-geometric M-theory backgrounds.
Dieter Lüst +2 more
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Advanced Science, EarlyView.A plasmonic optoelectronic memristor based on Te nanowires‐Au nanoparticles/ι‐carrageenan enables IR‐programmed and visiblelight‐erased non‐volatile conductance. The all‐photonic write/erase scheme supports in‐sensor logic and real‐time motion detection in darkness.
Jingyao Bian +7 more
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Revisiting the Hansen Problem: A Geometric Algebra Approach
MathematicsThe Hansen problem is a classic and well-known geometric challenge in geodesy and surveying involving the determination of two unknown points relative to two known reference locations using angular measurements.
Jorge Ventura +5 more
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Normed algebras and the geometric series test [PDF]
Surveys in Mathematics and its Applications, 2017 The purpose of this article is to survey a class of normed algebras that share many central features of Banach algebras, save for completeness. The likeness of these algebras to Banach algebras derives from the fact that the geometric series test is ...
Robert Kantrowitz, Michael M. Neumann
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Geometrically Reductive Hopf Algebras
Journal of Algebra, 1992 The authors define the notion of geometric reductivity for arbitrary commutative Hopf algebras \(C\) as follows: for every comodule \(M\) and every comodule homomorphism \(\lambda \in M^*\) there is a symmetric power \(r\) such that \(S^ r(\lambda)\) does not vanish on \(S^ r(M)^ C\), the invariants of the \(r\)-th symmetric power of \(M\).
Borsari, Heloisa, Santos, Walter Ferrer
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Beyond the Non‐Hermitian Skin Effect: Scaling‐Controlled Topology from Exceptional‐Bound Bands
Advanced Science, EarlyView.ABSTRACT We establish a novel mechanism for topological transitions in non‐Hermitian systems that are controlled by the system size. Based on a new paradigm known as exceptional‐bound (EB) band engineering, its mechanism hinges on the unique critical scaling behavior near an exceptional point, totally unrelated to the well‐known non‐Hermitian skin ...
Mengjie Yang, Ching Hua Lee
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