论文信息 - Clifford algebra in R

Clifford algebra in R

Here I present the clifford package for working with Cliﬀord algebras in the R programming language. Algebras of arbitrary dimension and signature can be manipulated, and a range of diﬀerent multiplication operators is provided. The algebra is described and package idiom is given; it obeys disordR discipline. The package is available on CRAN at https: //CRAN.R-project.org/package=clifford .

R. Hankin

[1] R. Hankin. Stokes's theorem in R , 2022, arXiv.org.

[2] R. Hankin. Fast multivariate polynomials in R: the mvp package , 2022, ArXiv.

[3] R. Hankin. Sparse arrays in R: the spray package , 2022, ArXiv.

[4] R. Hankin. Disordered vectors in R: introducing the disordR package , 2022, ArXiv.

[5] Andy R. Terrel,et al. SymPy: Symbolic computing in Python , 2017, PeerJ Prepr..

[6] R Core Team,et al. R: A language and environment for statistical computing. , 2014 .

[7] Joan Lasenby,et al. Applications of Geometric Algebra in Computer Science and Engineering , 2012 .

[8] R. Abłamowicz,et al. Symbolic Computations in Higher Dimensional Clifford Algebras , 2012, 1206.3683.

[9] J. Snygg. A New Approach to Differential Geometry using Clifford's Geometric Algebra , 2011 .

[10] Leo Dorst,et al. Geometric Algebra , 2019, Computer Vision, A Reference Guide.

[11] David R. Musser,et al. STL tutorial and reference guide - C++ programming with the standard template library , 1996, Addison-Wesley professional computing series.

[12] D. Hestenes,et al. Clifford Algebra to Geometric Calculus , 1984 .