rational function


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rational function

n.
A function that can be expressed as a quotient of polynomials, excluding division by zero.
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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 function
Consider 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.