Author: Andreas Rosén
Publisher: Springer Nature
ISBN: 9783030314118
Category: Mathematics
Page: 465
View: 840
This book presents a step-by-step guide to the basic theory of multivectors and spinors, with a focus on conveying to the reader the geometric understanding of these abstract objects.
Author: Christine Fernandez-Maloigne
Publisher: Springer Science & Business Media
ISBN: 9781441961907
Category: Technology & Engineering
Page: 515
View: 469
k=0 〈M〉k (6.6) with 〈M〉k the k-vector part of any multivector M i.e., the grade k operator. The Geometric product is an associative law and distributive over the addition of multivectors. In general, the result of the geometric ...
Author: David Hestenes
Publisher: Springer Science & Business Media
ISBN: 9027725616
Category: Mathematics
Page: 340
View: 173
Matrix algebra has been called "the arithmetic of higher mathematics" [Be].
Author: Ales Prochazka
Publisher: Springer Science & Business Media
ISBN: 9781461217688
Category: Technology & Engineering
Page: 502
View: 490
The operation of reversion reverses the order of vectors in any multivector. ... 5.2 Linear Algebra and Multivector Calculus Geometric algebra (GA) has very powerful associated linear algebra and calculus frameworks and is therefore a ...
Author: D. Hestenes
Publisher: Springer Science & Business Media
ISBN: 9789400962927
Category: Science
Page: 314
View: 220
The study of how a linear function affects the grade of a multivector, reduces to the study of multiforms. ... applications of multiforms in later chapters, we concentrate on the analysis of multiforms in the balance of this section.
Author: Daniel Cremers
Publisher: Springer Science & Business Media
ISBN: 9783642030611
Category: Computers
Page: 323
View: 627
Low level two-dimensional image analysis is often the first step of many Computer Vision tasks. ... processing approaches such as the monogenic signal, the structure multivector and the monogenic curvature tensor are being analyzed.
Author: Christian Perwass
Publisher: Springer Science & Business Media
ISBN: 9783540890683
Category: Computers
Page: 386
View: 929
In particular, readers who are interested in the geometric representation of multivectors, as discussed in Chap. ... Some additional interesting features of CLUCALC are: 0 automatic analysis and visualization of multivectors with ...
Author: Alberto Sanfeliu
Publisher: Springer Science & Business Media
ISBN: 9783540235279
Category: Computers
Page: 720
View: 861
Any multivector can be expressed in terms of this basis. In this paper we will specify a geometric algebra Gn of the n dimensional space by Gp,q,r, where p, q and r stand for the number of basis vector which squares to 1, ...
Author: Eckhard Hitzer
Publisher: CRC Press
ISBN: 9781000429343
Category: Mathematics
Page: 474
View: 539
2.7 2.6.3 Overview of Clifford's geometric algebra of the 3D Euclidean space 47 2.6.3.1 Explicit multiplication ... for multivector square root computations 68 2.7.3.2 Geometric multivector square roots of −1 70 2.7.3.3 Summary on ...
Author: Tao Qian
Publisher: Springer Science & Business Media
ISBN: 9783764377786
Category: Mathematics
Page: 574
View: 849
First, the basic concepts of the multivector functions, vector differential and vector derivative in geometric algebra are introduced. Second, we define a generalized real Fourier transform on Clifford multivector-valued functions (f: ...
