Wolfram Language
Paclet Repository
Community-contributed installable additions to the Wolfram Language
Primary Navigation
Categories
Cloud & Deployment
Core Language & Structure
Data Manipulation & Analysis
Engineering Data & Computation
External Interfaces & Connections
Financial Data & Computation
Geographic Data & Computation
Geometry
Graphs & Networks
Higher Mathematical Computation
Images
Knowledge Representation & Natural Language
Machine Learning
Notebook Documents & Presentation
Scientific and Medical Data & Computation
Social, Cultural & Linguistic Data
Strings & Text
Symbolic & Numeric Computation
System Operation & Setup
Time-Related Computation
User Interface Construction
Visualization & Graphics
Random Paclet
Alphabetical List
Using Paclets
Create a Paclet
Get Started
Download Definition Notebook
Learn More about
Wolfram Language
BasicCliffordAlgebra
Symbols
Coeff
Dual
GeometricProduct
GFactor
Grade
HomogeneousQ
InnerProduct
Involution
Joint
LeftContaction
Magnitude
Meet
MultivectorInverse
OuterProduct
Pseudoscalar
Reflection
RightContraction
Rotation
ScalarProduct
ToBasis
ToVector
Turn
Jlaragonvera`BasicCliffordAlgebra`
G
r
a
d
e
G
r
a
d
e
[
m
,
r
]
g
i
v
e
s
t
h
e
r
-
v
e
c
t
o
r
p
a
r
t
o
f
t
h
e
m
u
l
t
i
v
e
c
t
o
r
m
.
Examples
(
7
)
Basic Examples
(
3
)
Extract the scalar (grade‑0) part:
I
n
[
1
]
:
=
G
r
a
d
e
[
1
+
2
e
[
1
]
+
e
[
1
,
2
]
,
0
]
O
u
t
[
1
]
=
1
Extract the vector (grade‑1) part:
I
n
[
1
]
:
=
G
r
a
d
e
[
1
+
2
e
[
1
]
+
e
[
1
,
2
]
,
1
]
O
u
t
[
1
]
=
2
e
[
1
]
Extract the bivector (grade‑2) part:
I
n
[
1
]
:
=
G
r
a
d
e
[
1
+
2
e
[
1
]
+
e
[
1
,
2
]
,
2
]
O
u
t
[
1
]
=
e
[
1
,
2
]
S
c
o
p
e
(
1
)
P
r
o
p
e
r
t
i
e
s
&
R
e
l
a
t
i
o
n
s
(
2
)
P
o
s
s
i
b
l
e
I
s
s
u
e
s
(
1
)
S
e
e
A
l
s
o
T
u
r
n
"
"
