Results 61 to 70 of about 751,757 (240)
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
Projective Geometric Algebra as a Subalgebra for Conformal Geometric Algebra
, 2021 We show that if Projective Geometric Algebra (PGA), i.e. the geometric algebra with degenerate signature (n, 0, 1), is understood as a subalgebra of Conformal Geometric Algebra (CGA) in a mathematically correct sense, then flat primitives share the same ...
Dorst, L. +3 more
core +1 more source
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
wiley +1 more source
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
doaj +1 more source
Nonlinear Dynamics and Invariants of Motion in ReRAM Cells
Advanced Electronic Materials, EarlyView.A second‐order cell, hosting one capacitor and two back‐to‐back ReRAMs, admits Invariants of Motion: its states lie on one‐dimensional manifolds at all times. The cell shows quiescent monostability or bistability, depending on the manifold index. At equilibrium, the capacitor voltage vanishes.
Mauro Di Marco +5 more
wiley +1 more source
GAAlign: Robust Sampling-Based Point Cloud Registration Using Geometric Algebra
99111Geometrical 3D data is often represented in form of point clouds. A common problem is the registration of point clouds with shared underlying geometry, for example to align two 3D scans.
Neumann, Kai +4 more
core +2 more sources
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
doaj +1 more source
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
doaj +1 more source
Advanced Electronic Materials, EarlyView.Wire resistance and sneak paths severely compromise the performance of large memristor crossbars. A predictive closed‐form distributed line‐resistance model, combined with a fourmatrix geometry‐averaging algorithm, eliminates these parasitic limitations.
Davide Rossetti +5 more
wiley +1 more source
Linear Algebra and Smarandache Linear Algebra [PDF]
, 2003 The present book, on Smarandache linear algebra, not only studies the Smarandache analogues of linear algebra and its applications, it also aims to bridge the need for new research topics pertaining to linear algebra, purely in the algebraic sense.
Vasantha, Kandasamy
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