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cyclotomic  

The Field of Cyclotomic Numbers
View on CRAN: Click here


Download and install cyclotomic package within the R console
Install from CRAN:
install.packages("cyclotomic")

Install from Github:
library("remotes")
install_github("cran/cyclotomic")

Install by package version:
library("remotes")
install_version("cyclotomic", "1.3.0")



Attach the package and use:
library("cyclotomic")
Maintained by
Stéphane Laurent
[Scholar Profile | Author Map]
All associated links for this package
First Published: 2023-04-18
Latest Update: 2023-11-02
Description:
The cyclotomic numbers are complex numbers that can be thought of as the rational numbers extended with the roots of unity. They are represented exactly, enabling exact computations. They contain the Gaussian rationals (complex numbers with rational real and imaginary parts) as well as the square roots of all rational numbers. They also contain the sine and cosine of all rational multiples of pi. The algorithms implemented in this package are taken from the 'Haskell' package 'cyclotomic', whose algorithms are adapted from code by Martin Schoenert and Thomas Breuer in the 'GAP' project (). Cyclotomic numbers have applications in number theory, algebraic geometry, algebraic number theory, coding theory, and in the theory of graphs and combinatorics. They have connections to the theory of modular functions and modular curves.
How to cite:
Stéphane Laurent (2023). cyclotomic: The Field of Cyclotomic Numbers. R package version 1.3.0, https://cran.r-project.org/web/packages/cyclotomic. Accessed 22 Dec. 2024.
Previous versions and publish date:
1.0.0 (2023-04-18 16:30), 1.1.0 (2023-05-10 14:20), 1.2.0 (2023-07-15 09:50)
Other packages that cited cyclotomic R package
View cyclotomic citation profile
Other R packages that cyclotomic depends, imports, suggests or enhances
Complete documentation for cyclotomic
Functions, R codes and Examples using the cyclotomic R package
Some associated functions: as.cyclotomic . asComplex . conjugate . cycSqrt . cyclotomic-imports . cyclotomic-unary . imaginaryPart . isGaussianRational . isRational . isReal . maybeRational . polar . quadraticRoots . realPart . trigonometry . zeta . 
Some associated R codes: Cyclotomic.R . arithmetic.R . conjugate.R . imports.R . is.R . maputils.R . mkCyclotomic.R . polar.R . rational.R . showCyclotomic.R . sqrt.R . trigonometry.R . zzz.R .  Full cyclotomic package functions and examples
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