Page 319 - Determinants and Their Applications in Mathematical Physics
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Appendix A
A.1 Miscellaneous Functions
The Kronecker Delta Function
1,j = i
δ ij =
0,j = i.
q
0,p ≤ r ≤ q,
x j δ jr =
0, otherwise.
j=p
q
x j δ jr (1 − δ jr )= x r .
j=p
I n =[δ ij ] n , the unit matrix,
n
f f 1
r δ ir = j , 1 ≤ i, j ≤ n,
1
r=1 g r δ jr g i
1
n
a iq
a ip
δ ir
a ip a iq
1 , 1 ≤ i, j, k ≤ n.
a jp a jq δ jr = a jp a jq
a kq δ kr a kp a kq 1
r=1 a kp
1,i even,
δ i,even =
0,i odd.
