Biology Reference
In-Depth Information
Vector space A set of vectors, together with rules for adding and multiplying them (thereby obtaining all permis-
sible linear combinations of them). Addition and scalar multiplication are required to meet eight rules:
1. X
Y
Y
X
1
5
1
2. X
Z
3. A unique zero vector exists such that X
(Y
Z)
(X
Y)
1
1
5
1
1
1
0
5
X, for all X
4. For each X there exists a unique vector
2
X such that X
1
(
2
X)
5
0
5. 1X
X
6. (
C
1
C
2
)X
5
5
C
1
(
C
2
X)
7.
C
(X
1
Y)
5
C
X
1
C
Y
8. (
C
1
1
C
2
)X
5
C
1
X
1
C
2
X.
White Book Marcus, L.F., Corti, M., Loy, A. et al. (1996).
Advances in Morphometrics
. Plenum Press. See also Black
Book, Blue Book, Orange Book and Red Book.
