onion-package	onion-package
%*%	onionmat
%*%,numeric,onion-method	onionmat
%*%,numeric,onionmat-method	onionmat
%*%,onion,onionmat-method	onionmat
%*%,onionmat,numeric-method	onionmat
%*%,onionmat,onion-method	onionmat
%*%,onionmat,onionmat-method	onionmat
%.%	prods
%<*>%	prods
%<*>%.onion	prods
%<.>%	prods
%<.>%.onion	prods
%>*<%	prods
%>*<%.onion	prods
%>.<%	prods
%>.<%.onion	prods
+,onion,missing-method	onionmat
+,onionmat,missing-method	onionmat
-,onion,missing-method	onionmat
-,onionmat,missing-method	onionmat
abs,onion-method	Math
acos	Math
acos,onion-method	Math
acosh	Math
acosh,onion-method	Math
Arith	Arith
Arith,ANY,onion-method	Arith
Arith,onion,ANY-method	Arith
Arith,onion,missing-method	Arith
Arith,onion,numeric-method	Arith
Arith,onion,onion-method	Arith
Arith-methods	Arith
as.matrix	onion
as.matrix,onion-method	onion
as.numeric,onion-method	onion
as.octonion	onion
as.octonionmat	onionmat
as.onion	onion
as.onionmat	onionmat
as.orthogonal	orthogonal
as.quaternion	onion
as.quaternionmat	onionmat
asin	Math
asin,onion-method	Math
asinh	Math
asinh,onion-method	Math
associator	associator
atan	Math
atan,onion-method	Math
atanh	Math
atanh,onion-method	Math
biggest	biggest
bind	bind
bind_onion	bind
bind_onionmat_onion	bind
bind_onionmat_onionmat	bind
bind_onion_matrix	bind
bind_onion_onion	bind
bind_onion_onionmat	bind
bunny	bunny
c	c
c,onion-method	c
c.onion	c
cbind	bind
cbind2,matrix,onion-method	bind
cbind2,matrix,onionmat-method	bind
cbind2,numeric,onion-method	bind
cbind2,numeric,onionmat-method	bind
cbind2,onion,matrix-method	bind
cbind2,onion,numeric-method	bind
cbind2,onion,onion-method	bind
cbind2,onion,onionmat-method	bind
cbind2,onionmat,matrix-method	bind
cbind2,onionmat,numeric-method	bind
cbind2,onionmat,onion-method	bind
cbind2,onionmat,onionmat-method	bind
colnames	names
colnames,onion-method	names
colnames,onionmat-method	names
colnames<-	onionmat
colnames<-,onionmat-method	names
commutator	associator
Compare,ANY,onionmat-method	Compare
Compare,numeric,onion-method	Compare
Compare,onion,numeric-method	Compare
Compare,onion,onion-method	Compare
Compare,onionmat,ANY-method	Compare
Compare,onionmat,onionmat-method	Compare
Compare-methods	Compare
concatenate.onion	c
condense	condense
condense.onion	condense
Conj	Complex
Conj,onion-method	Complex
Conj,onionmat-method	Complex
cos	Math
cos,onion-method	Math
cosh	Math
cosh,onion-method	Math
cprod	onionmat
cprod,ANY,ANY-method	onionmat
cprod,ANY,missing-method	onionmat
cprod,ANY,onionmat-method	onionmat
cprod,onion,missing-method	onionmat
cprod,onion,onion-method	onionmat
cprod,onion,onionmat-method	onionmat
cprod,onionmat,ANY-method	onionmat
cprod,onionmat,missing-method	onionmat
cprod,onionmat,onion-method	onionmat
cprod,onionmat,onionmat-method	onionmat
cumsum	cumsum
c_onionpair	c
diag	onionmat
diag,onion-method	onionmat
diag,onionmat-method	onionmat
diag.onion	onionmat
diag.onionmat	onionmat
diag<-,onionmat-method	onionmat
diag<-.onionmat	onionmat
dim	names
dim,onionmat-method	names
dim<-	names
dim<-,onionmat-method	names
dimnames,onionmat-method	names
dimnames<-,onionmat-method	names
dotprod	prods
drop	onionmat
drop,onionmat-method	onionmat
exp	Math
exp,onion-method	Math
e_even.onion	prods
e_odd.onion	prods
getd	onionmat
getM	onionmat
g_even.onion	prods
g_odd.onion	prods
H0	Oil
H1	Oil
Hall	Oil
harmonize_on	Arith
harmonize_oo	Arith
herm_onion_mat	onionmat
Hi	Oil
Him	Oil
Hj	Oil
Hk	Oil
ht	onionmat
ht,onion-method	onionmat
ht,onionmat-method	onionmat
i	Extract
i,onion-method	Extract
i,onionmat-method	Extract
i.octonion	Extract
i.quaternion	Extract
i<-	Extract
i<-,onion-method	Extract
i<-,onionmat-method	Extract
i<-.octonion	Extract
i<-.quaternion	Extract
il	Extract
il,octonion-method	Extract
il,onionmat-method	Extract
il.octonion	Extract
il<-	Extract
il<-,octonion-method	Extract
il<-,onionmat-method	Extract
il<-.octonion	Extract
Im	Complex
Im,onion-method	Complex
Im,onionmat-method	Complex
Im<-	Complex
Im<-,onion-method	Complex
Im<-,onionmat-method	Complex
Im<-.quaternion	Extract
index-class	onion-class
is.octonion	onion
is.onion	onion
is.onionmat	onionmat
is.quaternion	onion
is_orthogonal	orthogonal
j	Extract
j,onion-method	Extract
j,onionmat-method	Extract
j.octonion	Extract
j.quaternion	Extract
j<-	Extract
j<-,onion-method	Extract
j<-,onionmat-method	Extract
j<-.octonion	Extract
j<-.quaternion	Extract
jl	Extract
jl,octonion-method	Extract
jl,onionmat-method	Extract
jl.octonion	Extract
jl<-	Extract
jl<-,octonion-method	Extract
jl<-,onionmat-method	Extract
jl<-.octonion	Extract
k	Extract
k,onion-method	Extract
k,onionmat-method	Extract
k.octonion	Extract
k.quaternion	Extract
k<-	Extract
k<-,onion-method	Extract
k<-,onionmat-method	Extract
k<-.octonion	Extract
k<-.quaternion	Extract
kl	Extract
kl,octonion-method	Extract
kl,onionmat-method	Extract
kl.octonion	Extract
kl<-	Extract
kl<-,octonion-method	Extract
kl<-,onionmat-method	Extract
kl<-.octonion	Extract
l	Extract
l,octonion-method	Extract
l,onion-method	Extract
l,onionmat-method	Extract
l.octonion	Extract
l<-	Extract
l<-,octonion-method	Extract
l<-,onionmat-method	Extract
l<-.octonion	Extract
length	length
length,onion-method	length
length.onion	length
length<-	length
length<-,onion-method	length
length<-.onion	length
log	Math
log,onion-method	Math
Logic,ANY,onion-method	Logic
Logic,onion,ANY-method	Logic
Logic,onion,missing-method	Logic
Logic,onion-method	Logic
logic.onion	Logic
matrix,onion-method	onionmat
matrix2quaternion	orthogonal
matrix_arith_onion	onionmat
matrix_arith_onionmat	onionmat
matrix_plus_onion	onionmat
matrix_plus_onionmat	onionmat
matrix_prod_onion	onionmat
max	Summary
min	Summary
Mod	Complex
Mod,onion-method	Complex
Mod,onionmat-method	Complex
names,onion-method	names
names,onionmat-method	names
names.onion	names
names.onion<-	names
names<-	names
names<-,onion-method	names
names<-,onionmat-method	names
names<-.onion	names
ncol	onionmat
ncol,ANY-method	onionmat
ncol,onionmat-method	names
ncol-methods	onionmat
ncol.onionmat	onionmat
newonionmat	onionmat
Norm	Complex
Norm,onion-method	Complex
Norm,onionmat-method	Complex
Norm.onion	Complex
nrow	onionmat
nrow,ANY-method	onionmat
nrow,onionmat-method	names
nrow-methods	onionmat
nrow.onionmat	onionmat
numeric_arith_onion	Arith
numeric_arith_onionmat	onionmat
numeric_matrixprod_onionmat	onionmat
O0	Oil
O1	Oil
Oall	Oil
Octonion	onion
octonion	onion
octonion-class	onion-class
octonion_prod_octonion	Arith
octonion_to_quaternion	onion
Oi	Oil
Oil	Oil
Oim	Oil
Oj	Oil
Ojl	Oil
Ok	Oil
Okl	Oil
Ol	Oil
om_cprod	onionmat
om_ht	onionmat
om_prod	onionmat
om_tcprod	onionmat
onion	onion
onion-class	onion-class
onionmat	onionmat
onionmat-class	onion-class
onionmatprod	onionmat
onionmat_allsum	Summary
onionmat_arith_matrix	onionmat
onionmat_arith_onion	onionmat
onionmat_arith_onionmat	onionmat
onionmat_arith_single	onionmat
onionmat_compare_onionmat	Compare
onionmat_compare_single	Compare
onionmat_complex	onionmat
onionmat_conjugate	onionmat
onionmat_equal_onionmat	Compare
onionmat_equal_single	Compare
onionmat_imag	onionmat
onionmat_inv	onionmat
onionmat_inverse	onionmat
onionmat_matrixprod_numeric	onionmat
onionmat_matrixprod_onion	onionmat
onionmat_matrixprod_onionmat	onionmat
onionmat_mod	onionmat
onionmat_neg	onionmat
onionmat_negative	onionmat
onionmat_plus_matrix	onionmat
onionmat_plus_onionmat	onionmat
onionmat_plus_single	onionmat
onionmat_power_matrix	onionmat
onionmat_power_onionmat	onionmat
onionmat_power_single	onionmat
onionmat_prod_matrix	onionmat
onionmat_prod_onionmat	onionmat
onionmat_prod_single	onionmat
onionmat_re	onionmat
onionmat_show	show
onionmat_unary	onionmat
onion_abs	Complex
onion_acos	Math
onion_acosh	Math
onion_allsum	Summary
onion_arith_matrix	onionmat
onion_arith_numeric	Arith
onion_arith_onion	Arith
onion_arith_onionmat	onionmat
onion_arith_single	onionmat
onion_asin	Math
onion_asinh	Math
onion_atan	Math
onion_atanh	Math
onion_compare	Compare
onion_complex	Complex
onion_conjugate	Complex
onion_cos	Math
onion_cosh	Math
onion_cumprod	cumsum
onion_cumsum	cumsum
onion_exp	Math
onion_e_even	prods
onion_e_odd	prods
onion_g_even	prods
onion_g_odd	prods
onion_imag	Complex
onion_inverse	Arith
onion_log	Math
onion_logic	Logic
onion_matrixprod_onionmat	onionmat
onion_mod	Complex
onion_negative	Arith
onion_plus_numeric	Arith
onion_plus_onion	Arith
onion_power_matrix	onionmat
onion_power_numeric	Arith
onion_power_singleinteger	Arith
onion_prod_numeric	Arith
onion_prod_onion	Arith
onion_re	Complex
onion_show	show
onion_sign	Math
onion_sin	Math
onion_sinh	Math
onion_sqrt	Math
onion_tan	Math
onion_tanh	Math
Ops.onionmat	onionmat
orthogonal	orthogonal
p3d	p3d
plot	plot
plot,onion-method	plot
plot.onion	plot
print	show
print,onion-method	show
print.octonion	show
print.onion	show
print.onionmat	show
print.quaternion	show
prod	Summary
prod,octonion-method	Summary
prod,quaternion-method	Summary
prods	prods
Quaternion	onion
quaternion	onion
quaternion-class	onion-class
quaternion_allprod	Summary
quaternion_prod_quaternion	Arith
quaternion_to_octonion	onion
range	Summary
rbind	bind
rbind2,matrix,onion-method	bind
rbind2,matrix,onionmat-method	bind
rbind2,numeric,onion-method	bind
rbind2,numeric,onionmat-method	bind
rbind2,onion,matrix-method	bind
rbind2,onion,numeric-method	bind
rbind2,onion,onion-method	bind
rbind2,onion,onionmat-method	bind
rbind2,onionmat,matrix-method	bind
rbind2,onionmat,numeric-method	bind
rbind2,onionmat,onion-method	bind
rbind2,onionmat,onionmat-method	bind
Re	Complex
Re,onion-method	Complex
Re,onionmat-method	Complex
Re<-	Complex
Re<-,onion-method	Complex
Re<-,onionmat-method	Complex
Re<-.quaternion	Extract
rep	rep
rep,onion-method	rep
rep.onion	rep
roct	roct
romat	roct
ronionmat	roct
rotate	rotate
rownames	names
rownames,ANY-method	onionmat
rownames,onionmat-method	names
rownames-methods	onionmat
rownames.onionmat	onionmat
rownames<-	onionmat
rownames<-,ANY-method	onionmat
rownames<-,onionmat-method	names
rownames<--methods	onionmat
rownames<-.onionmat	onionmat
rquat	roct
seq	seq
seq,onion-method	seq
seq.onion	seq
seq_onion	seq
show	show
show,onion-method	show
sign,onion-method	Complex
sin	Math
sin,onion-method	Math
single_arith_onionmat	onionmat
single_compare_onionmat	Compare
single_power_onionmat	onionmat
single_prod_onionmat	onionmat
sinh	Math
sinh,onion-method	Math
SLERP	seq
slerp	seq
sqrt	Math
str,onion-method	Summary
str_onion	Summary
sum	Summary
sum,octonion-method	Summary
sum,onion-method	Summary
sum,onionmat-method	Summary
sum,quaternion-method	Summary
Summary,onion-method	Summary
t,onion-method	onionmat
t,onionmat-method	onionmat
t.onion	onionmat
t.onionmat	onionmat
tan	Math
tan,onion-method	Math
tanh	Math
tanh,onion-method	Math
tcprod	onionmat
tcprod,ANY,ANY-method	onionmat
tcprod,ANY,missing-method	onionmat
tcprod,ANY,onionmat-method	onionmat
tcprod,onion,missing-method	onionmat
tcprod,onion,onion-method	onionmat
tcprod,onion,onionmat-method	onionmat
tcprod,onionmat,ANY-method	onionmat
tcprod,onionmat,missing-method	onionmat
tcprod,onionmat,onion-method	onionmat
tcprod,onionmat,onionmat-method	onionmat
threeform	associator
type	onion
zap	zapsmall
zapsmall	zapsmall
zapsmall,onion-method	zapsmall
zapsmall,onionmat-method	zapsmall
[	Extract
[,onion,ANY,ANY-method	Extract
[,onion,index,ANY,ANY-method	Extract
[,onion,index,ANY-method	Extract
[,onion,index,missing,ANY-method	Extract
[,onion,index,missing-method	Extract
[,onion-method	Extract
[,onionmat,ANY,ANY,ANY-method	Extract
[,onionmat,ANY,ANY-method	Extract
[,onionmat,index,index,ANY-method	Extract
[,onionmat,index,index-method	Extract
[,onionmat,index,missing,ANY-method	Extract
[,onionmat,index,missing,missing-method	Extract
[,onionmat,index,missing-method	Extract
[,onionmat,matrix,missing,ANY-method	Extract
[,onionmat,matrix,missing-method	Extract
[,onionmat,missing,index,ANY-method	Extract
[,onionmat,missing,index-method	Extract
[,onionmat,missing,missing,ANY-method	Extract
[,onionmat,missing,missing-method	Extract
[.onion	Extract
[.onionmat	onionmat
[<-	Extract
[<-,onion,ANY,ANY-method	Extract
[<-,onion,index,ANY,ANY-method	Extract
[<-,onion,index,missing,ANY-method	Extract
[<-,onion,index,missing,numeric-method	Extract
[<-,onion,index,missing,onion-method	Extract
[<-,onion,missing,missing,numeric-method	Extract
[<-,onion,missing,missing,onion-method	Extract
[<-,onion-method	Extract
[<-,onionmat,ANY,missing,numeric-method	Extract
[<-,onionmat,ANY,missing,onion-method	Extract
[<-,onionmat,index,index,numeric-method	Extract
[<-,onionmat,index,index,onion-method	Extract
[<-,onionmat,index,missing,numeric-method	Extract
[<-,onionmat,index,missing,onion-method	Extract
[<-,onionmat,missing,index,numeric-method	Extract
[<-,onionmat,missing,index,onion-method	Extract
[<-.onion	Extract
[<-.onionmat	onionmat
