Abstract
Clifford algebra (geometric algebra) which has many applications in physics, robotics, CAD (Computer-Aided Design) /CAM (Computer-Aided Manufacture), computer graphics, image processing, etc. is one of the important subjects in mathematics. In this paper, after we give the definition of Clifford algebras, introduce their subspaces. Firstly, we develop an algorithm which obtain some concepts of Clifford algebras using by Maple programming. Secondly, another algorithm calculates the norm of the multivector obtained by finding the Clifford product of any two vectors of the same finite dimension.
Keywords
Multivector
Clifford algebra
Geometric algebra
Algebra over a field
Clifford analysis
Symbolic computation
Maple
Computer science
Classification of Clifford algebras
Linear subspace
Computer graphics
Mathematics
Pure mathematics
Artificial intelligence
Algebra representation
Division algebra
Dirac operator
Subject Areas
Algebraic and Geometric Analysis
·Applied Mathematics ·Physical Sciences
Digital Image Processing Techniques
·Computer Vision and Pattern Recognition ·Physical Sciences
Advanced Numerical Analysis Techniques
·Computational Mechanics ·Physical Sciences
Citations by Year
2022: 2
Loading…
Loading…