notations
text
 
Clp,q
 


<u>0
<u>1
<u>i
<u>k
<u>0..k
<u>n          
 


1, e0
e1, .. ei
e12, .. ejk
 
j, e1..n      
<A>k
<A>0,1, .. k
u v
1/u
u.v
u^v
u_|v
u|_v
u~
u'
u"
u*
|u|
u/|u|
 

space dimension Cl(p,q)
 


scalar                       grade(0)
vector                       grade(1)
blades                       grade(0 to n)
blades of grade k            grade(u,k)
multivectors                 mixed grades
oriented volume              grade(n)
components
 

scalar unit
vector basis
bivector basis
....
oriented volume j
grade(A,k)
grade(A,0,1, ...k)
geometric product
inverse
inner product - left contraction
outer product
left contraction
rigth contraction
reverse
grade involution
Clifford conjugation
dual
magnitude
normalize
 

EVA script
 
Cl(3,1)
j=e1234
signature=(1,1,1,-1)
 
e0, 5e0
e1+3e2
3e0, e1+3e2, e12-e13
e12+2e23   (k=2)
e0+5e12+e13
j, e12, e1234
(0,4,7,-2,0,0,0,0)  for Cl3
(0,x,sin(x),0,0,0,0,0,y)
 
e0
e1, e2, e3          for Cl3
e12,e23,e13         for Cl3
 
j, e123             for Cl3
grade(u,k)
grade(u,0)+grade(u,1)+...
gp(u,v)
inv1(u)
inp(u,v)
outp(u,v)
lc(u,v)
rc(u,v)
rev(u)
invol(u)
cj(u)
dual(u)
magnitude(u)
normalize(u)