Symbolic Implementation of Multivector Algebra in Julia Language

In this work, we will briefl present the main facts from the theory of polyvectors and multivectors, generalizing the known mathematical constructions. In the report, we will consider the solution of a number of geometric examples using the Grassmann.jl library. This is implementation of the multivector algebra in the Julia language. It mixes computer algebra calculations with numerical calculations for better performance.

Conference proceedings
Publisher
Российский университет дружбы народов (РУДН)
Language
English
Pages
57-60
Status
Published
Year
2021
Organizations
  • 1 Peoples' Friendship University of Russia (RUDN University)
  • 2 Joint Institute for Nuclear Research
  • 3 Plekhanov Russian University of Economics
Keywords
Clifford algebra; Grassman algebra; multivectors; Julia language; Reduce computer algebra system
Date of creation
16.12.2021
Date of change
16.12.2021
Short link
https://repository.rudn.ru/en/records/article/record/78796/
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