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onion (version 1.2-7)

Octonions and Quaternions

Description

Quaternions and Octonions are four- and eight- dimensional extensions of the complex numbers. They are normed division algebras over the real numbers and find applications in spatial rotations (quaternions) and string theory and relativity (octonions). The quaternions are noncommutative and the octonions nonassociative. See RKS Hankin 2006, Rnews Volume 6/2: 49-51, and the package vignette, for more details.

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Version

Install

install.packages('onion')

Monthly Downloads

378

Version

1.2-7

License

GPL

Maintainer

Robin K S Hankin

Last Published

July 11th, 2017

Functions in onion (1.2-7)

Norm

Norm and modulus of an onionic vector
O1

Unit onions
as.matrix.onion

Coerces an onionic vector into a matrix
threeform

Various non-field diagnostics
c.onion

Combine onionic vectors into a single vector
condense.onion

Condense an onionic vector into a short form
str.onion

Compactly display an onion
sum.onion

Sum of onionic vectors
Ops.onion

Arithmetic Ops Group Methods for Octonions
Re

Octonion components
length.onion

Length of an octonionic vector
names.onion

Names of an onionic vector
print.onion

Print method for onions
prods

Various products of two onionic vectors
biggest

Returns the biggest type of a set of onions
bunny

The Stanford Bunny
onion-package

Manipulation of quaternions and octonions
onion

Basic onion functions
Conj.onion

Onionic conjugation
Extract.onion

Extract or Replace Parts of an onion
cumsum.onion

Cumulative sums for onions
p3d

Three dimensional plotting
plot.onion

Plot onions
rotate

Rotates 3D vectors using quaternions
seq.onion

seq method for onions
dotprod

Euclidean even product
rep.onion

Replicate elements of onionic vectors
roct

Random onionic vector
t.onion

Onion transpose
exp

Elementary transcendental functions