octonions and quaternions

Documentation for package ‘onion’ version 1.1-2

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A B C D E G H I J K L M N O P Q R S T misc

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onion-package

Manipulation of quaternions and octonions

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%.%	Euclidean even product
%<*>%	Various products of two onionic vectors
%<.>%	Various products of two onionic vectors
%>*<%	Various products of two onionic vectors
%>.<%	Various products of two onionic vectors

-- A --

acos	Elementary transcendental functions
acosh	Elementary transcendental functions
AequalsA	Arithmetic Ops Group Methods for Octonions
Ainv	Arithmetic Ops Group Methods for Octonions
Amassage	Arithmetic Ops Group Methods for Octonions
Aneg	Arithmetic Ops Group Methods for Octonions
Apower	Arithmetic Ops Group Methods for Octonions
AprodA	Arithmetic Ops Group Methods for Octonions
AprodS	Arithmetic Ops Group Methods for Octonions
as.matrix.onion	Coerces an onionic vector into a matrix
as.octonion	Basic onion functions
as.onion	Basic onion functions
as.quaternion	Basic onion functions
asin	Elementary transcendental functions
asinh	Elementary transcendental functions
associator	Various non-field diagnostics
AsumA	Arithmetic Ops Group Methods for Octonions
atan	Elementary transcendental functions
atanh	Elementary transcendental functions

-- B --

biggest	Returns the biggest type of a set of onions
bunny	The Stanford Bunny

-- C --

c.onion	Combine onionic vectors into a single vector
commutator	Various non-field diagnostics
condense	Condense an onionic vector into a short form
Conj.onion	Onionic conjugation
cos	Elementary transcendental functions
cosh	Elementary transcendental functions
cumsum.onion	Cumulative sums for onions

-- D --

dotprod

Euclidean even product

-- E --

e.even	Various products of two onionic vectors
e.odd	Various products of two onionic vectors
exp	Elementary transcendental functions

-- G --

g.even	Various products of two onionic vectors
g.odd	Various products of two onionic vectors
get.comp	Octonion components

-- H --

H0	Unit onions
H1	Unit onions
Hall	Unit onions
harmonize	Arithmetic Ops Group Methods for Octonions
Hi	Unit onions
Him	Unit onions
Hj	Unit onions
Hk	Unit onions
HprodH	Arithmetic Ops Group Methods for Octonions

-- I --

i	Octonion components
il	Octonion components
Im	Octonion components
is.octonion	Basic onion functions
is.onion	Basic onion functions
is.quaternion	Basic onion functions

-- J --

j	Octonion components
jl	Octonion components

-- K --

k	Octonion components
kl	Octonion components

-- L --

l	Octonion components
length	Length of an octonionic vector
ln	Elementary transcendental functions
log	Elementary transcendental functions

-- M --

Mod	Norm and modulus of an onionic vector

-- N --

names.onion	Names of an onionic vector
Norm	Norm and modulus of an onionic vector
norm	Norm and modulus of an onionic vector
Norm.onion	Norm and modulus of an onionic vector
norm.onion	Norm and modulus of an onionic vector

-- O --

O0	Unit onions
O1	Unit onions
Oall	Unit onions
Octonion	Basic onion functions
octonion	Basic onion functions
Oi	Unit onions
Oil	Unit onions
Oim	Unit onions
Oj	Unit onions
Ojl	Unit onions
Ok	Unit onions
Okl	Unit onions
Ol	Unit onions
onion	Manipulation of quaternions and octonions
OprodO	Arithmetic Ops Group Methods for Octonions
Ops	Arithmetic Ops Group Methods for Octonions

-- P --

p3d	Three dimensional plotting
plot.onion	Plot onions
print.octonion	Print method for onions
print.onion	Print method for onions
print.quaternion	Print method for onions
prod	Various products of two onionic vectors
prods	Various products of two onionic vectors

-- Q --

Quaternion	Basic onion functions
quaternion	Basic onion functions

-- R --

Re	Octonion components
rep.onion	Replicate elements of onionic vectors
roct	Random onionic vector
rotate	Rotates 3D vectors using quaternions
rquat	Random onionic vector
R_HprodH	Arithmetic Ops Group Methods for Octonions
R_OprodO	Arithmetic Ops Group Methods for Octonions

-- S --

seq.onion	seq method for onions
Sign	Norm and modulus of an onionic vector
sign	Norm and modulus of an onionic vector
sin	Elementary transcendental functions
sinh	Elementary transcendental functions
SLERP	seq method for onions
slerp	seq method for onions
sqrt	Elementary transcendental functions
str.onion	Compactly display an onion
sum.octonion	Sum of onionic vectors
sum.onion	Sum of onionic vectors
sum.quaternion	Sum of onionic vectors

-- T --

t.onion	Onion transpose
tan	Elementary transcendental functions
tanh	Elementary transcendental functions
threeform	Various non-field diagnostics
type	Basic onion functions

-- misc --

[.onion

Extract or Replace Parts of an onion