e]) and S is the continued fraction
(e is Euler's number)
At the first step it is necessary to subject the characteristics (3) to synthesis by using the method of distribution on a continued fraction
(used for the first time to synthesize electrical circuits - the Cauer method).
We shall give the continued fraction
representation for generalized functions.
It remains only to show that the continued fraction
in the right-hand side of (19) satisfies the same functional equation, which is done in a separate lemma below.
Pearce , Conolly and Langaris , Flajolet and Guillemin , Parthasarathy and Lenin , , , , Parthasarathy and Selvaraju  and Krishnakumar et al  have applied continued fraction
technique to study the transient behavior of the stochastic systems.
13) we can construct the associated continued fraction
0 [less than or equal to] i [less than or equal to] n) be natural numbers, continued fraction
Practically, we developed the continued fraction
and determined only 18 partial denominators.
This author published already a continued fraction
analysis of planetary masses, however, the continued fractions
were in the canonical form with all nominators equal 1.
There is, however, no standing wave analogy on the logarithmic scale that can be applied to all particles, consequently here, another model must be applied, which lead us to modify Muller's continued fraction
term in an empirical way.
p] is the natural oscillation frequency of one proton, S is a finite continued fraction
with integer elements:
Within the fifties and sixties the development of continued fraction
analysis methods of oscillation processes in chain systems reaches a highlight.
So, let us plot points by writing a single-term continued fraction
1/n (so these are the numbers 1/1, 1/2, 1/3, .
1 can be used to evaluate the Ramanujan's cubic continued fraction
In that way, every mass is interpreted as a proton resonance state and expressed in continued fraction