November 13, 2009

Session Complex NN at IJCNN-2010, 18-23 July, Barcelona, Spain

Special Session: Complex-Valued Neural Networks
at
2010 IEEE World Congress on Computational Intelligence (WCCI-2010)
International Joint Conference on Neural Networks (IJCNN-2010)
Barcelona, Spain, July 18-23, 2010

Organizers/Chairs:
Igor Aizenberg, Texas A&M University-Texarkana, USA
e-mail: igor.aizenberg at tamut.edu
URL: http://www.eagle.tamut.edu/faculty/igor
Keep reading →

November 2, 2009

Redington/Lohdi: Simple 5D wave equation f. Dirac particle

Simple five-dimensional wave-equation for a Dirac particle
by N. Redington (redingtn_at_MIT.EDU) and M. A. K. Lodhi

Although it’s a bit late, I would like to draw the community’s attention to a paper of mine of which no-one seems to be aware: Keep reading →

October 23, 2009

E. Hitzer: Clifford (Geometric) Algebra Wavelet Transform

Clifford (Geometric) Algebra Wavelet Transform

by Eckhard Hitzer
Department of Applied Physics, University of Fukui, 910-8507 Japan
Submitted (October 10, 2009) to:
Proceedings of GraVisMa 2009, 02-04 September 2009, Plzen, Czech Republic, edited by V. Skala and D. Hildenbrand.

Abstract
While the Clifford (geometric) algebra Fourier Transform (CFT) is global, we introduce here the local Clifford (geometric) algebra (GA) wavelet concept. Keep reading →

October 23, 2009

E. Hitzer: Real Cliff. Alg. Cl(n,0), n = 2,3(mod 4) Wavelet Transf.

Real Clifford Algebra Cl(n,0), n = 2,3(mod 4) Wavelet Transform

by Eckhard Hitzer
(Department of Applied Physics, University of Fukui, 910-8507 Japan)
edited by T.E. Simos et al., AIP Proceedings of ICNAAM 2009, No. 1168, pp. 781-784 (2009).

Abstract
We show how for n = 2,3(mod 4) continuous Clifford (geometric) algebra (GA) Cl_n-valued admissible wavelets can be constructed using the similitude group SIM(n). Keep reading →

October 23, 2009

P. Girard: Quaternion Grassmann-Hamilton-Clifford algebras

Quaternion Grassmann-Hamilton-Clifford algebras: new mathematical tools for classical and relativistic modeling

by Patrick R. Girard (University of Lyon; Creatis; Insa-Lyon; France)
in O. Doessel and W.C. Schlegel (Eds.): WC 2009, IFMBE Proceedings 25/IV,
pp. 65-68, 2009. www.springerlink.com

Abstract
The paper presents new mathematical tools for classical and relativistic modeling based on a quaternion formulation of Clifford algebras which we shall call Grassmann-Hamilton-Clifford algebras. Keep reading →

October 1, 2009

AGACSE 2010, 14-16 June ‘10, Amsterdam, The Netherlands

Applied Geometric Algebras in Computer Science and Engineering 2010, June 14-16th 2010, Amsterdam, The Netherlands

The 4th conference on Applied Geometric Algebras in Computer Science and Engineering will be held in the Doelenzaal, which is part of the University of Amsterdam Library and situated in central Amsterdam. Keep reading →

September 30, 2009

V. Skala: Proceedings and Photos of GraVisMa 2009

Proceedings and Photos of GraVisMa 2009

by Vaclav Skala (skala_at_kiv.zcu.cz)
12 September 2009

Dear friends,

I hope that it was a nice time in Plzen. I hope that GraVisMa workshop was productive for you and I do hope we will meet somewhere again. I will try to keep you in touch.

I hope you got back safely and enjoying life at your working place.

I will keep the GraVisMa pages updated – I put there a common photo and proceedings if you would like to use them, feel free to download both. Keep reading →

September 30, 2009

B. Eyheramendy: Tool for easy learning of Geometric Algebra

A simple tool to make easy learning geometric algebra

by Bernard Eyheramendy
Date: Tues, Aug 25 2009 1:43pm

I am novice with geometric algebra, and have developed a simple tool, EVA, to help me understand this large matter. Keep reading →

September 30, 2009

D. Lundholm: Geometric (Clifford) algebra and its applications

Geometric (Clifford) algebra and its applications
by Douglas Lundholm
(Submitted on 10 May 2006)

Abstract
In this Master of Science Thesis I introduce geometric algebra Keep reading →

September 30, 2009

Lundholm, Svensson: Clifford algebra, geometric algebra, applications

Clifford algebra, geometric algebra, and applications

by Douglas Lundholm, Lars Svensson
(Submitted on 30 Jul 2009)

Abstract:
These are lecture notes for a course on the theory of Clifford algebras, Keep reading →