Arbitrary Dimensional Clifford Algebras

Documentation for package ‘clifford’ version 1.1-0

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

Arbitrary Dimensional Clifford Algebras

-- A --

allcliff	Clifford object containing all possible terms
antivector	Antivectors or pseudovectors
as.1vector	Coercion from numeric to Clifford form
as.antivector	Antivectors or pseudovectors
as.character	Print clifford objects
as.character.clifford	Print clifford objects
as.clifford	Create, coerce, and test for 'clifford' objects
as.cliffvector	Coercion from numeric to Clifford form
as.pseudoscalar	Coercion from numeric to Clifford form
as.scalar	Coercion from numeric to Clifford form
as.vector	Coerce a clifford vector to a numeric vector
as.vector.clifford	Coerce a clifford vector to a numeric vector

-- B --

basis	Coercion from numeric to Clifford form
basissep	Print clifford objects
blade	Deal with terms

-- C --

cartan	Cartan map between clifford algebras
cartan_inverse	Cartan map between clifford algebras
catterm	Print clifford objects
cliffconj	Clifford involutions
cliffdotprod	Arithmetic Ops Group Methods for 'clifford' objects
clifford	Create, coerce, and test for 'clifford' objects
clifford-class	Create, coerce, and test for 'clifford' objects
clifford_cross_clifford	Arithmetic Ops Group Methods for 'clifford' objects
clifford_dot_clifford	Arithmetic Ops Group Methods for 'clifford' objects
clifford_eq_clifford	Arithmetic Ops Group Methods for 'clifford' objects
clifford_fatdot_clifford	Arithmetic Ops Group Methods for 'clifford' objects
clifford_inverse	Arithmetic Ops Group Methods for 'clifford' objects
clifford_lefttick_clifford	Arithmetic Ops Group Methods for 'clifford' objects
clifford_negative	Arithmetic Ops Group Methods for 'clifford' objects
clifford_plus_clifford	Arithmetic Ops Group Methods for 'clifford' objects
clifford_plus_numeric	Arithmetic Ops Group Methods for 'clifford' objects
clifford_plus_scalar	Arithmetic Ops Group Methods for 'clifford' objects
clifford_power_scalar	Arithmetic Ops Group Methods for 'clifford' objects
clifford_righttick_clifford	Arithmetic Ops Group Methods for 'clifford' objects
clifford_star_clifford	Arithmetic Ops Group Methods for 'clifford' objects
clifford_times_clifford	Arithmetic Ops Group Methods for 'clifford' objects
clifford_times_scalar	Arithmetic Ops Group Methods for 'clifford' objects
clifford_to_quaternion	Quaternions using Clifford algebras
clifford_wedge_clifford	Arithmetic Ops Group Methods for 'clifford' objects
coeffs	Extract or Replace Parts of a clifford
coeffs<-	Extract or Replace Parts of a clifford
coeffs<-.clifford	Extract or Replace Parts of a clifford
commutator	Class "dot"
Conj	Clifford involutions
conj	Clifford involutions
Conj.clifford	Clifford involutions
conjugate	Clifford involutions
const	The constant term of a Clifford object
const<-	The constant term of a Clifford object
const<-.clifford	The constant term of a Clifford object
constant	The constant term of a Clifford object
constant<-	The constant term of a Clifford object
constant<-.clifford	The constant term of a Clifford object
cross	Arithmetic Ops Group Methods for 'clifford' objects
c_add	Low-level helper functions for 'clifford' objects
c_cartan	Low-level helper functions for 'clifford' objects
c_cartan_inverse	Low-level helper functions for 'clifford' objects
c_equal	Low-level helper functions for 'clifford' objects
c_fatdotprod	Low-level helper functions for 'clifford' objects
c_getcoeffs	Low-level helper functions for 'clifford' objects
c_grade	Low-level helper functions for 'clifford' objects
c_identity	Low-level helper functions for 'clifford' objects
c_innerprod	Low-level helper functions for 'clifford' objects
c_lefttickprod	Low-level helper functions for 'clifford' objects
c_multiply	Low-level helper functions for 'clifford' objects
c_outerprod	Low-level helper functions for 'clifford' objects
c_overwrite	Low-level helper functions for 'clifford' objects
c_power	Low-level helper functions for 'clifford' objects
c_righttickprod	Low-level helper functions for 'clifford' objects

-- D --

dagger	Clifford involutions
dim	Create, coerce, and test for 'clifford' objects
dim.clifford	Create, coerce, and test for 'clifford' objects
dimension	Create, coerce, and test for 'clifford' objects
dot	Class "dot"
dot-class	Class "dot"
dot_error	Class "dot"
drop	Drop redundant information
drop-method	Drop redundant information
drop_clifford	Drop redundant information
dual	Clifford involutions

-- E --

e	Coercion from numeric to Clifford form
euclidean_product	Arithmetic Ops Group Methods for 'clifford' objects
euclid_product	Arithmetic Ops Group Methods for 'clifford' objects
eucprod	Arithmetic Ops Group Methods for 'clifford' objects
even	Even and odd clifford objects
evenpart	Even and odd clifford objects
extract	Extract or Replace Parts of a clifford
extract.clifford	Extract or Replace Parts of a clifford

-- F --

fatdot	Arithmetic Ops Group Methods for 'clifford' objects
first_n_last	Summary methods for clifford objects

-- G --

geometric_prod	Arithmetic Ops Group Methods for 'clifford' objects
geometric_product	Arithmetic Ops Group Methods for 'clifford' objects
geoprod	Arithmetic Ops Group Methods for 'clifford' objects
getcoeffs	Extract or Replace Parts of a clifford
grade	The grade of a clifford object
grade<-	The grade of a clifford object
gradeinv	Clifford involutions
grademinus	The grade of a clifford object
gradeplus	The grade of a clifford object
grades	The grade of a clifford object
gradesminus	The grade of a clifford object
gradesplus	The grade of a clifford object
gradeszero	The grade of a clifford object
gradezero	The grade of a clifford object

-- H --

homog	Homogenous Clifford objects
homogenous	Homogenous Clifford objects
horner	Horner's method

-- I --

Im	Extract or Replace Parts of a clifford
Im.clifford	Extract or Replace Parts of a clifford
involution	Clifford involutions
involutions	Clifford involutions
is.1vector	Coercion from numeric to Clifford form
is.antivector	Antivectors or pseudovectors
is.basisblade	Deal with terms
is.blade	Deal with terms
is.clifford	Create, coerce, and test for 'clifford' objects
is.even	Even and odd clifford objects
is.homog	Homogenous Clifford objects
is.homogenous	Homogenous Clifford objects
is.minus	Take the negative of a vector
is.odd	Even and odd clifford objects
is.pseudoscalar	Coercion from numeric to Clifford form
is.real	The constant term of a Clifford object
is.scalar	Coercion from numeric to Clifford form
is.zero	The zero Clifford object
is.zero-method	The zero Clifford object
is.zero.clifford	The zero Clifford object
is_ok_clifford	Create, coerce, and test for 'clifford' objects
is_ok_sig	The signature of the Clifford algebra

-- J --

jacobi

Class "dot"

-- L --

lefttick	Arithmetic Ops Group Methods for 'clifford' objects
left_contraction	Arithmetic Ops Group Methods for 'clifford' objects
list_modifier	Extract or Replace Parts of a clifford
lowlevel	Low-level helper functions for 'clifford' objects

-- M --

magnitude	Magnitude of a clifford object
maxdim	The signature of the Clifford algebra
maxyterm	Arithmetic Ops Group Methods for 'clifford' objects
minus	Take the negative of a vector
Mod	Magnitude of a clifford object
mod	Magnitude of a clifford object
Mod.clifford	Magnitude of a clifford object
mymax	The signature of the Clifford algebra

-- N --

nbits	Create, coerce, and test for 'clifford' objects
neg	Clifford involutions
nterms	Create, coerce, and test for 'clifford' objects
numeric_to_clifford	Coercion from numeric to Clifford form

-- O --

oddpart	Even and odd clifford objects
Ops	Arithmetic Ops Group Methods for 'clifford' objects
Ops.clifford	Arithmetic Ops Group Methods for 'clifford' objects

-- P --

print.cliff	Print clifford objects
print.clifford	Print clifford objects
print.sigobj	The signature of the Clifford algebra
print.summary.clifford	Summary methods for clifford objects
print_clifford	Print clifford objects
print_clifford_default	Print clifford objects
print_clifford_pauli	Print clifford objects
print_clifford_quaternion	Print clifford objects
print_special	Print clifford objects
pseudoscalar	Coercion from numeric to Clifford form

-- Q --

quaternion	Quaternions using Clifford algebras
quaternion_to_clifford	Quaternions using Clifford algebras

-- R --

rblade	Random clifford objects
rcliff	Random clifford objects
rclifff	Random clifford objects
Re	Extract or Replace Parts of a clifford
Re.clifford	Extract or Replace Parts of a clifford
replace	Extract or Replace Parts of a clifford
replace.clifford	Extract or Replace Parts of a clifford
rev	Clifford involutions
rev.clifford	Clifford involutions
reverse	Clifford involutions
right contraction	Arithmetic Ops Group Methods for 'clifford' objects
righttick	Arithmetic Ops Group Methods for 'clifford' objects

-- S --

scalar	Coercion from numeric to Clifford form
scalar_product	Arithmetic Ops Group Methods for 'clifford' objects
scalprod	Arithmetic Ops Group Methods for 'clifford' objects
showsig	The signature of the Clifford algebra
sig	The signature of the Clifford algebra
signature	The signature of the Clifford algebra
star	Arithmetic Ops Group Methods for 'clifford' objects
summary.clifford	Summary methods for clifford objects

-- T --

term	Deal with terms
terms	Deal with terms
tilde	Clifford involutions

-- W --

warn_on_repeats	Extract or Replace Parts of a clifford
wedge	Arithmetic Ops Group Methods for 'clifford' objects

-- Z --

zap	Zap small values in a clifford object
zap.clifford	Zap small values in a clifford object
zapsmall	Zap small values in a clifford object
zaptiny	Zap small values in a clifford object
zero	The zero Clifford object
zero.cliff	The zero Clifford object
zero.clifford	The zero Clifford object

-- misc --

% %	Arithmetic Ops Group Methods for 'clifford' objects
% %.clifford	Arithmetic Ops Group Methods for 'clifford' objects
%.%	Arithmetic Ops Group Methods for 'clifford' objects
%.%.clifford	Arithmetic Ops Group Methods for 'clifford' objects
%dot%	Arithmetic Ops Group Methods for 'clifford' objects
%euc%	Arithmetic Ops Group Methods for 'clifford' objects
%euc%.clifford	Arithmetic Ops Group Methods for 'clifford' objects
%o%	Arithmetic Ops Group Methods for 'clifford' objects
%o%.clifford	Arithmetic Ops Group Methods for 'clifford' objects
%star%	Arithmetic Ops Group Methods for 'clifford' objects
%star%.clifford	Arithmetic Ops Group Methods for 'clifford' objects
%X%	Arithmetic Ops Group Methods for 'clifford' objects
%X%.clifford	Arithmetic Ops Group Methods for 'clifford' objects
%^%	Arithmetic Ops Group Methods for 'clifford' objects
%^%.clifford	Arithmetic Ops Group Methods for 'clifford' objects
%_\|%	Arithmetic Ops Group Methods for 'clifford' objects
%_\|%.clifford	Arithmetic Ops Group Methods for 'clifford' objects
%\|_%	Arithmetic Ops Group Methods for 'clifford' objects
%\|_%.clifford	Arithmetic Ops Group Methods for 'clifford' objects
.	Class "dot"
[-method	Class "dot"
[.clifford	Extract or Replace Parts of a clifford
[.dot	Class "dot"
[<-.clifford	Extract or Replace Parts of a clifford