Octonions and Quaternions

Documentation for package ‘onion’ version 1.5-3

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

Octonions and Quaternions

-- A --

abs-method	Various logarithmic and circular functions for onions
acos	Various logarithmic and circular functions for onions
acos-method	Various logarithmic and circular functions for onions
acosh	Various logarithmic and circular functions for onions
acosh-method	Various logarithmic and circular functions for onions
ad	The adjoint map
adjoint	The adjoint map
Arith	Methods for Function Arith in package Onion
Arith-method	Methods for Function Arith in package Onion
Arith-methods	Methods for Function Arith in package Onion
as.matrix	Basic onion functions
as.matrix-method	Basic onion functions
as.numeric-method	Basic onion functions
as.octonion	Basic onion functions
as.octonionmat	Onionic matrices
as.onion	Basic onion functions
as.onionmat	Onionic matrices
as.orthogonal	Orthogonal matrix equivalents
as.quaternion	Basic onion functions
as.quaternionmat	Onionic matrices
asin	Various logarithmic and circular functions for onions
asin-method	Various logarithmic and circular functions for onions
asinh	Various logarithmic and circular functions for onions
asinh-method	Various logarithmic and circular functions for onions
associator	Various non-field diagnostics
atan	Various logarithmic and circular functions for onions
atan-method	Various logarithmic and circular functions for onions
atanh	Various logarithmic and circular functions for onions
atanh-method	Various logarithmic and circular functions for onions

-- B --

biggest	Returns the biggest type of a set of onions
bind	Binding of onionmats
bind_onion	Binding of onionmats
bind_onionmat_onion	Binding of onionmats
bind_onionmat_onionmat	Binding of onionmats
bind_onion_matrix	Binding of onionmats
bind_onion_onion	Binding of onionmats
bind_onion_onionmat	Binding of onionmats
bunny	The Stanford Bunny

-- C --

c	Concatenation
c-method	Concatenation
c.onion	Concatenation
cbind	Binding of onionmats
cbind2-method	Binding of onionmats
colnames	Names of an onionic vector
colnames-method	Names of an onionic vector
colnames<-	Onionic matrices
colnames<--method	Names of an onionic vector
commutator	Various non-field diagnostics
Compare-method	Methods for compare S4 group
Compare-methods	Methods for compare S4 group
comp_names	Print method for onions
concatenate.onion	Concatenation
condense	Condense an onionic vector into a short form
condense.onion	Condense an onionic vector into a short form
Conj	Complex functionality for onions
Conj-method	Complex functionality for onions
cos	Various logarithmic and circular functions for onions
cos-method	Various logarithmic and circular functions for onions
cosh	Various logarithmic and circular functions for onions
cosh-method	Various logarithmic and circular functions for onions
cprod	Onionic matrices
cprod-method	Onionic matrices
cumsum	Cumulative sums and products of onions
c_onionpair	Concatenation

-- D --

diag	Onionic matrices
diag-method	Onionic matrices
diag.onion	Onionic matrices
diag.onionmat	Onionic matrices
diag<--method	Onionic matrices
diag<-.onionmat	Onionic matrices
dim	Names of an onionic vector
dim-method	Names of an onionic vector
dim<-	Names of an onionic vector
dim<--method	Names of an onionic vector
dimnames-method	Names of an onionic vector
dimnames<--method	Names of an onionic vector
dot	Class "dot"
dot-class	Class "dot"
dotprod	Various products of two onions
dot_error	Class "dot"
drop	Drop zero imaginary parts of an onionic vector
drop-method	Drop zero imaginary parts of an onionic vector
drop.onion	Drop zero imaginary parts of an onionic vector

-- E --

exp	Various logarithmic and circular functions for onions
exp-method	Various logarithmic and circular functions for onions
extract	Class "dot"
e_even.onion	Various products of two onions
e_odd.onion	Various products of two onions

-- G --

getd	Onionic matrices
getM	Onionic matrices
g_even.onion	Various products of two onions
g_odd.onion	Various products of two onions

-- H --

H0	Unit onions
H1	Unit onions
Hall	Unit onions
harmonize_on	Methods for Function Arith in package Onion
harmonize_oo	Methods for Function Arith in package Onion
herm_onion_mat	Onionic matrices
Hi	Unit onions
Him	Unit onions
Hj	Unit onions
Hk	Unit onions
ht	Onionic matrices
ht-method	Onionic matrices

-- I --

i	Extract or Replace Parts of onions or glubs
i-method	Extract or Replace Parts of onions or glubs
i.octonion	Extract or Replace Parts of onions or glubs
i.quaternion	Extract or Replace Parts of onions or glubs
i<-	Extract or Replace Parts of onions or glubs
i<--method	Extract or Replace Parts of onions or glubs
i<-.octonion	Extract or Replace Parts of onions or glubs
i<-.quaternion	Extract or Replace Parts of onions or glubs
il	Extract or Replace Parts of onions or glubs
il-method	Extract or Replace Parts of onions or glubs
il.octonion	Extract or Replace Parts of onions or glubs
il<-	Extract or Replace Parts of onions or glubs
il<--method	Extract or Replace Parts of onions or glubs
il<-.octonion	Extract or Replace Parts of onions or glubs
Im	Complex functionality for onions
Im-method	Complex functionality for onions
Im<-	Complex functionality for onions
Im<--method	Complex functionality for onions
Im<-.quaternion	Extract or Replace Parts of onions or glubs
index-class	Class "onion"
is.octonion	Basic onion functions
is.onion	Basic onion functions
is.onionmat	Onionic matrices
is.quaternion	Basic onion functions
is_orthogonal	Orthogonal matrix equivalents

-- J --

j	Extract or Replace Parts of onions or glubs
j-method	Extract or Replace Parts of onions or glubs
j.octonion	Extract or Replace Parts of onions or glubs
j.quaternion	Extract or Replace Parts of onions or glubs
j<-	Extract or Replace Parts of onions or glubs
j<--method	Extract or Replace Parts of onions or glubs
j<-.octonion	Extract or Replace Parts of onions or glubs
j<-.quaternion	Extract or Replace Parts of onions or glubs
jacobi	Class "dot"
jl	Extract or Replace Parts of onions or glubs
jl-method	Extract or Replace Parts of onions or glubs
jl.octonion	Extract or Replace Parts of onions or glubs
jl<-	Extract or Replace Parts of onions or glubs
jl<--method	Extract or Replace Parts of onions or glubs
jl<-.octonion	Extract or Replace Parts of onions or glubs

-- K --

k	Extract or Replace Parts of onions or glubs
k-method	Extract or Replace Parts of onions or glubs
k.octonion	Extract or Replace Parts of onions or glubs
k.quaternion	Extract or Replace Parts of onions or glubs
k<-	Extract or Replace Parts of onions or glubs
k<--method	Extract or Replace Parts of onions or glubs
k<-.octonion	Extract or Replace Parts of onions or glubs
k<-.quaternion	Extract or Replace Parts of onions or glubs
kl	Extract or Replace Parts of onions or glubs
kl-method	Extract or Replace Parts of onions or glubs
kl.octonion	Extract or Replace Parts of onions or glubs
kl<-	Extract or Replace Parts of onions or glubs
kl<--method	Extract or Replace Parts of onions or glubs
kl<-.octonion	Extract or Replace Parts of onions or glubs

-- L --

l	Extract or Replace Parts of onions or glubs
l-method	Extract or Replace Parts of onions or glubs
l.octonion	Extract or Replace Parts of onions or glubs
l<-	Extract or Replace Parts of onions or glubs
l<--method	Extract or Replace Parts of onions or glubs
l<-.octonion	Extract or Replace Parts of onions or glubs
length	Length of an octonionic vector
length-method	Length of an octonionic vector
length.onion	Length of an octonionic vector
length<-	Length of an octonionic vector
length<--method	Length of an octonionic vector
length<-.onion	Length of an octonionic vector
log	Various logarithmic and circular functions for onions
log-method	Various logarithmic and circular functions for onions
Logic-method	Logical operations on onions
logic.onion	Logical operations on onions

-- M --

matrix-method	Onionic matrices
matrix2quaternion	Orthogonal matrix equivalents
matrix_arith_onion	Onionic matrices
matrix_arith_onionmat	Onionic matrices
matrix_plus_onion	Onionic matrices
matrix_plus_onionmat	Onionic matrices
matrix_prod_onion	Onionic matrices
max	Various summary statistics for onions
min	Various summary statistics for onions
Mod	Complex functionality for onions
Mod-method	Complex functionality for onions

-- N --

names-method	Names of an onionic vector
names.onion	Names of an onionic vector
names.onion<-	Names of an onionic vector
names<-	Names of an onionic vector
names<--method	Names of an onionic vector
names<-.onion	Names of an onionic vector
ncol	Onionic matrices
ncol-method	Names of an onionic vector
ncol-method	Onionic matrices
ncol-methods	Onionic matrices
ncol.onionmat	Onionic matrices
newonionmat	Onionic matrices
Norm	Complex functionality for onions
Norm-method	Complex functionality for onions
Norm.onion	Complex functionality for onions
nrow	Onionic matrices
nrow-method	Names of an onionic vector
nrow-method	Onionic matrices
nrow-methods	Onionic matrices
nrow.onionmat	Onionic matrices
numeric_arith_onion	Methods for Function Arith in package Onion
numeric_arith_onionmat	Onionic matrices
numeric_matrixprod_onionmat	Onionic matrices

-- O --

O0	Unit onions
O1	Unit onions
Oall	Unit onions
Octonion	Basic onion functions
octonion	Basic onion functions
octonion-class	Class "onion"
octonion_prod_octonion	Methods for Function Arith in package Onion
octonion_to_quaternion	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
om_cprod	Onionic matrices
om_ht	Onionic matrices
om_prod	Onionic matrices
om_tcprod	Onionic matrices
onion	Basic onion functions
onion-class	Class "onion"
onionmat	Onionic matrices
onionmat-class	Class "onion"
onionmatprod	Onionic matrices
onionmat_allsum	Various summary statistics for onions
onionmat_arith_matrix	Onionic matrices
onionmat_arith_onion	Onionic matrices
onionmat_arith_onionmat	Onionic matrices
onionmat_arith_single	Onionic matrices
onionmat_compare_onionmat	Methods for compare S4 group
onionmat_compare_single	Methods for compare S4 group
onionmat_complex	Onionic matrices
onionmat_conjugate	Onionic matrices
onionmat_equal_onionmat	Methods for compare S4 group
onionmat_equal_single	Methods for compare S4 group
onionmat_imag	Onionic matrices
onionmat_inv	Onionic matrices
onionmat_inverse	Onionic matrices
onionmat_matrixprod_numeric	Onionic matrices
onionmat_matrixprod_onion	Onionic matrices
onionmat_matrixprod_onionmat	Onionic matrices
onionmat_mod	Onionic matrices
onionmat_neg	Onionic matrices
onionmat_negative	Onionic matrices
onionmat_plus_matrix	Onionic matrices
onionmat_plus_onionmat	Onionic matrices
onionmat_plus_single	Onionic matrices
onionmat_power_matrix	Onionic matrices
onionmat_power_onionmat	Onionic matrices
onionmat_power_single	Onionic matrices
onionmat_prod_matrix	Onionic matrices
onionmat_prod_onionmat	Onionic matrices
onionmat_prod_single	Onionic matrices
onionmat_re	Onionic matrices
onionmat_show	Print method for onions
onionmat_unary	Onionic matrices
onion_abs	Complex functionality for onions
onion_acos	Various logarithmic and circular functions for onions
onion_acosh	Various logarithmic and circular functions for onions
onion_allsum	Various summary statistics for onions
onion_arith_matrix	Onionic matrices
onion_arith_numeric	Methods for Function Arith in package Onion
onion_arith_onion	Methods for Function Arith in package Onion
onion_arith_onionmat	Onionic matrices
onion_arith_single	Onionic matrices
onion_asin	Various logarithmic and circular functions for onions
onion_asinh	Various logarithmic and circular functions for onions
onion_atan	Various logarithmic and circular functions for onions
onion_atanh	Various logarithmic and circular functions for onions
onion_compare	Methods for compare S4 group
onion_complex	Complex functionality for onions
onion_conjugate	Complex functionality for onions
onion_cos	Various logarithmic and circular functions for onions
onion_cosh	Various logarithmic and circular functions for onions
onion_cumprod	Cumulative sums and products of onions
onion_cumsum	Cumulative sums and products of onions
onion_exp	Various logarithmic and circular functions for onions
onion_e_even	Various products of two onions
onion_e_odd	Various products of two onions
onion_g_even	Various products of two onions
onion_g_odd	Various products of two onions
onion_imag	Complex functionality for onions
onion_inverse	Methods for Function Arith in package Onion
onion_log	Various logarithmic and circular functions for onions
onion_logic	Logical operations on onions
onion_matrixprod_onionmat	Onionic matrices
onion_mod	Complex functionality for onions
onion_negative	Methods for Function Arith in package Onion
onion_plus_numeric	Methods for Function Arith in package Onion
onion_plus_onion	Methods for Function Arith in package Onion
onion_power_matrix	Onionic matrices
onion_power_numeric	Methods for Function Arith in package Onion
onion_power_singleinteger	Methods for Function Arith in package Onion
onion_prod_numeric	Methods for Function Arith in package Onion
onion_prod_onion	Methods for Function Arith in package Onion
onion_re	Complex functionality for onions
onion_show	Print method for onions
onion_sign	Various logarithmic and circular functions for onions
onion_sin	Various logarithmic and circular functions for onions
onion_sinh	Various logarithmic and circular functions for onions
onion_sqrt	Various logarithmic and circular functions for onions
onion_tan	Various logarithmic and circular functions for onions
onion_tanh	Various logarithmic and circular functions for onions
onion_to_string	Print method for onions
onion_to_string_lowlevel	Print method for onions
Ops.onionmat	Onionic matrices
orthogonal	Orthogonal matrix equivalents

-- P --

p3d	Three dimensional plotting
plot	Plot onions
plot-method	Plot onions
plot.onion	Plot onions
print	Print method for onions
print-method	Print method for onions
print.octonion	Print method for onions
print.onion	Print method for onions
print.onionmat	Print method for onions
print.quaternion	Print method for onions
prod	Various summary statistics for onions
prod-method	Various summary statistics for onions
prods	Various products of two onions

-- Q --

Quaternion	Basic onion functions
quaternion	Basic onion functions
quaternion-class	Class "onion"
quaternion_allprod	Various summary statistics for onions
quaternion_prod_quaternion	Methods for Function Arith in package Onion
quaternion_to_octonion	Basic onion functions

-- R --

range	Various summary statistics for onions
rbind	Binding of onionmats
rbind2-method	Binding of onionmats
Re	Complex functionality for onions
Re-method	Complex functionality for onions
Re<-	Complex functionality for onions
Re<--method	Complex functionality for onions
Re<-.quaternion	Extract or Replace Parts of onions or glubs
rep	Replicate elements of onionic vectors
rep-method	Replicate elements of onionic vectors
rep.onion	Replicate elements of onionic vectors
roct	Random onionic vectors
romat	Random onionic vectors
ronionmat	Random onionic vectors
rotate	Rotates 3D vectors using quaternions
round	Rounding of onions
round-method	Rounding of onions
rownames	Names of an onionic vector
rownames-method	Names of an onionic vector
rownames-method	Onionic matrices
rownames-methods	Onionic matrices
rownames.onionmat	Onionic matrices
rownames<-	Onionic matrices
rownames<--method	Names of an onionic vector
rownames<--method	Onionic matrices
rownames<--methods	Onionic matrices
rownames<-.onionmat	Onionic matrices
rquat	Random onionic vectors
rsoct	Random onionic vectors
rsomat	Random onionic vectors
rsquat	Random onionic vectors

-- S --

seq	seq method for onions
seq-method	seq method for onions
seq.onion	seq method for onions
seq_onion	seq method for onions
show	Print method for onions
show-method	Print method for onions
sign-method	Complex functionality for onions
sin	Various logarithmic and circular functions for onions
sin-method	Various logarithmic and circular functions for onions
single_arith_onionmat	Onionic matrices
single_compare_onionmat	Methods for compare S4 group
single_power_onionmat	Onionic matrices
single_prod_onionmat	Onionic matrices
sinh	Various logarithmic and circular functions for onions
sinh-method	Various logarithmic and circular functions for onions
SLERP	seq method for onions
slerp	seq method for onions
sqrt	Various logarithmic and circular functions for onions
str-method	Various summary statistics for onions
str_onion	Various summary statistics for onions
sum	Various summary statistics for onions
sum-method	Various summary statistics for onions
Summary-method	Various summary statistics for onions

-- T --

t-method	Onionic matrices
t.onion	Onionic matrices
t.onionmat	Onionic matrices
tan	Various logarithmic and circular functions for onions
tan-method	Various logarithmic and circular functions for onions
tanh	Various logarithmic and circular functions for onions
tanh-method	Various logarithmic and circular functions for onions
tcprod	Onionic matrices
tcprod-method	Onionic matrices
threeform	Various non-field diagnostics
type	Basic onion functions

-- Z --

zap	Concatenation
zapsmall	Concatenation
zapsmall-method	Concatenation

-- misc --

%*%	Onionic matrices
%*%-method	Onionic matrices
%.%	Various products of two onions
%<*>%	Various products of two onions
%<*>%.onion	Various products of two onions
%<.>%	Various products of two onions
%<.>%.onion	Various products of two onions
%>*<%	Various products of two onions
%>*<%.onion	Various products of two onions
%>.<%	Various products of two onions
%>.<%.onion	Various products of two onions
+-method	Onionic matrices
--method	Onionic matrices
.	Class "dot"
[	Extract or Replace Parts of onions or glubs
[-method	Extract or Replace Parts of onions or glubs
[-method	Class "dot"
[.dot	Class "dot"
[.onion	Extract or Replace Parts of onions or glubs
[.onionmat	Onionic matrices
[<-	Extract or Replace Parts of onions or glubs
[<--method	Extract or Replace Parts of onions or glubs
[<-.onion	Extract or Replace Parts of onions or glubs
[<-.onionmat	Onionic matrices