Results 81 to 90 of about 60,017 (247)
Geometric Algebra: An Introduction with Applications in Euclidean and Conformal Geometry [PDF]
, 2013 This thesis presents an introduction to geometric algebra for the uninitiated. It contains examples of how some of the more traditional topics of mathematics can be reexpressed in terms of geometric algebra along with proofs of several important theorems
Miller, Richard Alan, Miller, Richard A.
core +2 more sources
Geometric operations implemented by conformal geometric algebra neural nodes
CoRR, 2013 Geometric algebra is an optimal frame work for calculating with vectors. The geometric algebra of a space includes elements that represent all the its subspaces (lines, planes, volumes, ...). Conformal geometric algebra expands this approach to elementary representations of arbitrary points, point pairs, lines, circles, planes and spheres.
openaire +2 more sources
A Mathematica module for Conformal Geometric Algebra and Origami Folding
EPiC Series in Computing, 2018 We implemented a Mathematica module of CGA which includes functions to denote CGA elements and compute several operations in CGA. We can draw the figure in 3D space which is corresponding to a CGA element. Our draw function is using Gr\"{o}bner Basis for simplifying equations of figures. It can be used for any dimensional figures.
Mitsuhiro Kondo +3 more
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The Role of Dice in the Emergence of the Probability Calculus
International Statistical Review, EarlyView.Summary The early development of the probability calculus was clearly influenced by the roll of dice. However, while dice have been cast since time immemorial, documented calculations on the frequency of various dice throws date back only to the mid‐13th century.
David R. Bellhouse, Christian Genest
wiley +1 more source
Follow Me Into Math: Near‐Peer Influencers Take the Stage
School Science and Mathematics, EarlyView.ABSTRACT Young people like to be entertained, and to entertain others. What if students were to invest enough of their time and effort into learning topics from our mathematics courses to become experts in the eyes of their peers? In this study we positioned college students and high school students as mathematical performers on the stage in front of ...
Aaron T. Wilson +3 more
wiley +1 more source
Geometric computing in computer graphics and robotics using conformal geometric algebra [PDF]
, 2007 In computer graphics and robotics a lot of different mathematical systems like vector algebra, homogenous coordinates, quaternions or dual quaternions are used for different applications.
Hildenbrand, D.
core
Rail wear inspection based on computer-aided design model and point cloud data
Advances in Mechanical Engineering, 2018 Railway transportation demands more efficient and accurate rail wear inspection systems to ensure the train operation safety. To obtain continuous three-dimensional data, a structured light rail wear inspection system is developed in this article, and ...
Peng Chen +3 more
doaj +1 more source
Double Conformal Geometric Algebra for Quadrics and Darboux Cyclides
Proceedings of the 33rd Computer Graphics International, 2016 We introduce Clifford geometric algebra based multivector modeling of quartic and general quadric surfaces, Darboux cyclides, Dupin cyclies, tori and pairs of standard CGA objects. A computer visualization is briefly described.
Robert Benjamin Easter, Eckhard Hitzer
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Ventilatory efficiency: Physiological modelling and mechanistic validation
The Journal of Physiology, EarlyView.Abstract figure legend From post‐threshold ventilatory linearization to ceiling‐normalized efficiency – conceptual framework underlying ηV̇E$\eta {{\dot{V}}_{\mathrm{E}}}$ Conventional V̇E${{\dot{V}}_{\mathrm{E}}}$–V̇CO2${{\dot{V}}_{{\mathrm{C}}{{{\mathrm{O}}}_2}}}$ slopes are typically derived under submaximal conditions and may become physiologically
Paulo T Muller +5 more
wiley +1 more source
3D Cadastral Data Model Based on Conformal Geometry Algebra
ISPRS International Journal of Geo-Information, 2016 Three-dimensional (3D) cadastral data models that are based on Euclidean geometry (EG) are incapable of providing a unified representation of geometry and topological relations for 3D spatial units in a cadastral database. This lack of unification causes
Ji-yi Zhang +5 more
doaj +1 more source