Information Technology Reference
In-Depth Information
where
E
(1)
E
(1)
(
x
E
=
E
(
x
,
y
,
z
=
0)
,
=
,
y
,
z
=
0)
,
E
(2)
E
(2)
(
x
E
(3)
E
(3)
(
x
=
,
y
,
z
=
0)
,
=
,
y
,
z
=
0)
,
H
(1)
H
(1)
(
x
H
=
H
(
x
,
y
,
z
=
0)
,
=
,
y
,
z
=
0)
,
H
(2)
H
(2)
(
x
H
(3)
H
(3)
(
x
=
,
y
,
z
=
0)
,
=
,
y
,
z
=
0)
.
In full form
E
x
=
H
x
o
E
(1)
+
H
y
o
E
(2)
+
H
z
o
E
(3)
,
x
x
x
H
x
o
E
(1)
H
y
o
E
(2)
H
z
o
E
(3)
E
y
=
+
+
,
(5
.
36)
y
y
y
E
z
=
0
.
and
H
(1)
x
H
(2)
x
H
(3)
x
H
x
o
H
y
o
H
z
o
H
x
=
+
+
,
H
(1)
y
H
(2)
y
H
(3)
y
H
x
o
H
y
o
H
z
o
H
y
=
+
+
,
(5
.
37)
H
(1)
z
H
(2)
z
H
(3)
z
H
x
o
H
y
o
H
z
o
H
z
=
+
+
.
Clearly we have three independent constants,
H
x
o
,
H
y
o
and
H
z
o
(three degrees
of freedom), that can be determined from (5.37):
H
x
H
y
H
z
H
x
H
y
H
z
H
(2)
x
H
(2)
y
H
(2)
z
H
(3)
x
H
(3)
y
H
(3)
z
H
x
o
=
1
Q
H
y
o
=
1
Q
,
,
H
(3)
x
H
(3)
y
H
(3)
z
H
(1)
x
H
(1)
y
H
(1)
z
(5
.
38)
H
x
H
y
H
z
H
(1)
x
H
(1)
y
H
(1)
z
1
Q
H
z
o
=
,
H
(2)
x
H
(2)
y
H
(2)
z
where
H
(1)
x
H
(1)
y
H
(1)
z
H
(2)
x
H
(2)
y
H
(2)
z
Q
=
.
H
(3)
x
H
(3)
y
H
(3)
z
Substituting (5.38) into (5.36) we obtain
Z
xx
H
x
+
Z
xy
H
y
+
Z
xz
H
z
,
E
x
=
E
y
=
Z
yx
H
x
+
Z
yy
H
y
+
Z
yz
H
z
,
.
(5
39)
E
z
=
0
,
