230 
initial conditions mentioned above, i.e.: 
OT t= OSS. Bey EN 
r 
For determining C', C,,...C, we thus find the equations 
EO “te. EK EL: NE eN TIE Ey 
(1) C, sin ee A Cath ae gn +. .+ C, sin iT 
Ak hit Ar oe 20E md IE 
(2) EET OS open yoo ed +... + A oe 
8 
ka ORNE Be kuna Í (8) 
(A) er TTS + os + eT +... + Cy sin rare at 
Te SE _ ènr Ends AE NIE | 
n) Cy sin i Sic Cla Uae einer H.+ ded ai Ti 
By addition resp. subtraction of the n” equation to (from) the 
first, of the (#—-1)’ equation to (from) the second, ete., the set (8) 
degenerates into two sets of equations, the one containing only the 
constants with even indices, the other only those with odd ones. 
From the equations (2), (4), (6),... in the set (8), follows that 
Gr 
Y Y 
C, = Cn—1 
a f D 
( 3 == Cn? 
. etc. 
and therefore the set (8) can be reduced into 2 sets, each con- 
taining +7” equations. 
The solution of these linear equations generally has no simple 
form, but in every special case the numerical discussion is rather 
easy. We shall give no numerical discussion for the case in consi- 
deration but we will postpone this discussion to an example of the 
second case. Only the following may be remarked here. 
If the number of coupled circuits is infinite we can put into (7) 
and (8) 
sin 
ae 
; = sin (dep) 
2x 
sin 
n 
on sin (2dp) 
sin 
n 
md 
== sin (kdp) 
~~ 
