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This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This dissertation focuses on the mathematical design of a unified shape kernel for geometric computing, with possible applications to computer aided design (
Gomes, Abel Joao Padrao
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The geometry in geometric algebra [PDF]
Thesis (M.S.) University of Alaska Fairbanks, 2014We present an axiomatic development of geometric algebra. One may think of a geometric algebra as allowing one to add and multiply subspaces of a vector space.
Kilpatrick, Kristopher N.
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ABSTRACT A methodological study is presented on a noninvasive photometric diagnostic for determining trends in electron density and sheath dynamics in single (1f) and a dual (2f) radio frequency capacitively coupled (CCRF) argon plasmas. The 1f discharges are operated at 13.56 and 27.12 MHz, respectively, while the 2f discharge is driven by both ...
Daniel Zuhayra +3 more
wiley +1 more source
On a geometric realization of C*-algebras [PDF]
9 ...
openaire +2 more sources
Linking geometry and algebra in the school mathematics curriculum
This chapter focuses on the linking of geometry and algebra in the teaching and learning of mathematics - and how, through such linking, the mathematics curriculum might be strengthened.
Jones, Keith
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S.1-8Geometric algebra covers a lot of other mathematical systems like vector algebra, complex numbers, Plücker coordinates, quaternions etc. and it is geometrically intuitive to work with.
Hildenbrand, Dietmar
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Review and prospects of shear test of bolted rock joints
The laboratory shear test equipment, test method, and numerical simulation of bolted rock joints were summarized. The shortcomings and limitations of the current research were analyzed, and the research prospects were proposed. Abstract Rock bolting is a critical approach in geotechnical engineering for supporting weak rocks.
Shulin Ren +4 more
wiley +1 more source
A Lorentz-equivariant transformer for all of the LHC
We show that the Lorentz-Equivariant Geometric Algebra Transformer (L-GATr) yields state-of-the-art performance for a wide range of machine learning tasks at the Large Hadron Collider.
Johann Brehmer, Víctor Bresó, Pim de Haan, Tilman Plehn, Huilin Qu, Jonas Spinner, Jesse Thaler
doaj +1 more source
ABSTRACT Multi‐supported non‐structural components (NSCs) are prone to seismic damage, yet their response prediction remains challenging when support motions are spatially incoherent. This study proposes an enhanced quasi‐static condensation (EQSC) method for linear, lightweight, dynamically detuned multi‐supported NSCs under the neglect of primary ...
Duozhi Wang +5 more
wiley +1 more source

