Results 71 to 80 of about 11,887 (293)
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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Mathematics, 2021 This paper presents a new framework based on geometric algebra (GA) to solve and analyse three-phase balanced electrical circuits under sinusoidal and non-sinusoidal conditions. The proposed approach is an exploratory application of the geometric algebra
Francisco G. Montoya +4 more
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Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections
Advanced Electronic Materials, EarlyView.The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
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, 2020 Geometric vertex algebras are a simplified version of Huang's geometric vertex operator algebras. We give a self-contained account of the equivalence of geometric vertex algebras with Z-graded vertex algebras.
openaire +3 more sources
Advanced Electronic Materials, EarlyView.A fully coupled FEM–HH model shows that ideally capacitive microelectrodes can achieve lower charge‐density thresholds than Faradaic contacts under current‐controlled stimulation. The advantage stems from the dynamics of surface current density on capacitive interfaces, which redirects current beneath adherent neurons.
Aleksandar Opančar +2 more
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From Grassmann's vision to geometric algebra computing
, 2022 S.423-433What mathematicians often call Clifford algebra is called geometric algebra if the focus is on the geometric meaning of the algebraic expressions and operators.
Hildenbrand, Dietmar
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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
doaj
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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DMA:an algebra for multicriteria spatial modeling
, 2006 The objective of this paper is to propose a new algebra, called decision map algebra (DMA), especially devoted to multicriteria spatial modeling. DMA is a generic and context-independent modeling language inspired from map algebra and other similar ...
Chakhar, Salem, Mousseau, Vincent
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