94 DOC.
18
REPLY TO LAUE
statistical
independence
of
the Fourier
coefficients, as
has been claimed.
Note
in
Proof:
Instead
of
averaging over many sequential
terms in the
sum (11),
in
order to
get
its
value, one
can
also base it
upon an infinity
of
mutually independent
expansions
(8)
and
average
over
these. This formation
of
the
mean value, applied
to
(11),
brings
the
correspondingly
understood
mean
value
av2
in front
of
the
summation
symbol.
The end result
remains,
of
course,
the
same.
(Received on
June
24,
1915)
Additional
notes
by
translator
{1}
"E"m
has been corrected to
"E"n.
m
n
{2} "av
and
4v"
have been corrected to
"av
and
4v."
{3}
"av2"
has been corrected to
"av2"
and
again one
line further
down, "an2"
has
been corrected
to
"av2."
Note
[4]
seems
to contain
misprints.