octonions and quaternions

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Documentation for package `onion' version 1.0-7

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

%.% 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
give.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
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
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