236 DOC. 10 RESEARCH NOTES
^?/o
5yKp
Yp
oY;mYK/
3^
Y;
im
3yKm
YpoY/mYK/
=
+Y
P°
3JCa
/
3ypm 3yKp
^YKm^/^gKp
^?mD Km
YK/
+
Y;im
Y
+
dx
[eq.
99]
V
dxt
K
Kp
dgmp
^YKp
^?Kp
[74]
Km Km
=
Y
K/ dxl
dx
+
^m
3x,
dx p°
dxa
dxp
[eq.
100]
K m
=
0
in
Summe
3YkP
figmp
dg
\
Km
Y,im
dx
[
dx
=
0
=
0
K P
^
Km fig
dgmp
Km
drpa
K*
3yPG
Kp
-Y
PG
dx"
{
dxm
+
dxK
=
g
KP
s)y
+
^mp
dx" dxK
[eq.
101]
UAo
UAm
KP
dxm
K
[73]Einstein
commences expansion
of the second
term
in
the second summation of
[eq.
94].
It reduces
to
1/4
times
[eq.
99].
[74][Eq.
99]
is
further reduced
to
the
sum
of the
two
underscored
terms
[eq. 100]
and
[eq. 101].
The three
terms
summed
in
[eq.
100]
are
equivalent
under
relabeling
of
indices,
as
are
the
two
of
[eq.
101].
The
final
result
is
given by
the second and
third
terms
of
[eq. 102] on
[p. 30].