One of them is that, given a non-constant

rational function f, with rational coefficients, if [xi] is a Liouville number, then so is f([xi]).

Function equation (4) is a positive real-valued

rational function, which means that all residues on the imaginary axis are real positive numbers, and [A.

The aeroelastic equations of motion are formulated in the time-domain, through the

Rational Function Approximation and application of the Balanced Truncation method.

n]], all the degrees above may be extended for the

rational function f / g as the maximum between the corresponding degrees of f and g:

h] are the operators of multiplication by simple

rational function g and h, bounded on U, and [sigma] is a linear-fractional self-map of U all these functions being easily obtainable from the coefficients of [phi].

g](t) is a

rational function of [rho] := [square root of 1 - 12t].

We will take into account the exact solution of equation (5) by using the technique basing on the expansion of the

rational function method.

Moreover, a SPICE-compatible circuit modeling of the proposed antenna is obtained and verified through the use of the modified

rational function modeling technique.

For each word w without repetition, we define the

rational functionConsider the

rational function with the given poles [s.

As our first example, when the concept of vertical asymptotes and the method of how to find them is introduced, an instructor may say "If an x-value makes the denominator of a

rational function zero, then the function has a vertical asymptote at that x-value.

11]([lambda]) given directly as the

rational function having the desired properties.