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 [18], Conolly and Langaris [4], Flajolet and Guillemin [7], Parthasarathy and Lenin [13], [14], [15], [17], Parthasarathy and Selvaraju [16] and Krishnakumar et al [19] have applied

continued fraction technique to study the transient behavior of the stochastic systems.

13) we can construct the associated

continued fraction0 [less than or equal to] i [less than or equal to] n) be natural numbers,

continued fraction <[x.

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 form.