DOC.
10
RESEARCH NOTES
263
Zusammenfassung
[129]
[eq.
201]
guv
/
fhkh
klj
sgv
aljrby vts
+1/2 ()HG])
ljgep
,jkj
mv
h
hhgtuiwel
lllsn
=
d/
dx
kakl kw;jvi
vasf
1=
1/2
hal
Dies ist
die
Kontra-Form.
[128]This calculation contains the
outline of
the
derivation of
equation (12)
on p.
15
of
Ein-
stein and Grossmann 1913
(Doc.
13).
The left-hand side of
[eq. 200]
is
expanded to
the
two
terms
on
the
right-hand
side.
As
the
connecting
line
indicates, the
second of
these
terms is
then
expanded
to
the
two terms below,
while
the first
term
remains
unexpanded,
which
is
in-
dicated
by
underscoring.
The
computation
continues
in
this
manner.
Note that
part
of
this cal-
culation
is
on
the
lower
part
of
[p.
52], to
which
[p. 51]
connects.
[129]The
final
result
[eq. 201]
arises from the collection of
all
underscored
terms.
Terms
marked
“o”
are
collected
on
the left-hand
side;
terms
marked “+”
are
collected
on
the
right–
hand side. The left-hand side of
[eq.
201]
contains
the
gravitation tensor
of Einstein
and
Grossmann
1913 (Doc.
13)
(the
“Entwurf"
tensor) in
its
contravariant
form
in
the
square
brackets.
[p.
52]
Kovariante Form.
[130]
=
dys/
dxv guv
(fzvt
-
bvzkk)
-v
1
-~ -
[eq. 202]
[130][Eq.
202] is
the left-hand side of
[eq.
201], rewritten
so
that the "Entwurf" gravitation
tensor
in
the square brackets adopts the covariant form.