Arbitrary Dimensional Clifford Algebras


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Documentation for package ‘clifford’ version 1.0-5

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

clifford-package 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
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 Arithmetic Ops Group Methods for 'clifford' objects
drop Drop redundant information
drop-method 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

-- I --

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.term Deal with terms
is.zero The zero Clifford object
is_ok_clifford Create, coerce, and test for 'clifford' objects
is_ok_sig The signature of the Clifford algebra

-- 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

-- M --

magnitude Magnitude of a clifford object
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.clifford Print clifford objects
print.sigobj The signature of the Clifford algebra
print.summary.clifford Summary methods for 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
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 --

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

-- 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
[.clifford Extract or Replace Parts of a clifford
[<-.clifford Extract or Replace Parts of a clifford