evitaicossa-package: Antiassociative Algebra

In evitaicossa: Antiassociative Algebra

Antiassociative Algebra

Description

Methods to deal with the free antiassociative algebra over the reals with an arbitrary number of indeterminates. Antiassociativity means that (xy)z = -x(yz). Antiassociative algebras are nilpotent with nilindex four (Remm, 2022, <doi:10.48550/arXiv.2202.10812>) and this drives the design and philosophy of the package. Methods are defined to create and manipulate arbitrary elements of the antiassociative algebra, and to extract and replace coefficients. A vignette is provided.

Details

The DESCRIPTION file: This package was not yet installed at build time.
Index: This package was not yet installed at build time.

Functionality to work with the free antiassociative algebra in R. The hex sticker features an image taken from \insertCitehoffnung1959;textualevitaicossa in which musical concepts [pizzicato, crescendo, etc] are given whimsical visual form. The character on the hex sticker is captioned “A Discord”: Hoffnung's interpretation of the musical concept of dissonance. In the book, the preceding image was a “chord”, evoking harmony. The discord, on the other hand, embodies–for me at least–antiassociativity: everything is wrong, wrong, wrong.

Author(s)

Robin K. S. Hankin [aut, cre] (<https://orcid.org/0000-0001-5982-0415>)

Maintainer: Robin K. S. Hankin <[e-mail]>

References

\insertAllCited

See Also

aaa

Examples

x <- raaa()
x
y <- raaa()

x+y
x*y

evitaicossa documentation built on June 28, 2024, 5:08 p.m.