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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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.
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.
It is proven that the Pade approximation is the best approximation of a rational function.
For the new edition, he has added material on rational function interpolation, replaced Brent's method of root finding with the less complex Ridder's method, and dropped the Fletcher-Reeves method of optimization in favor of the downhill simplex method.
13) implies that the function g(t) can be expressed in terms of elliptic functions and g(t) is not a rational function of t.
The Indian astronomer Bhaskara (AD 600) used a rational function, whose modern representation is
The infinite series in (7) can be efficiently approximated by a rational function using the PA method.
Examples of such rational function fit are shown in figures 1 and 2 by comparison with the tangent fit, and in figure 3, where a comparison of uniaxial data and planar data is presented.
Aside from overemphasizing the distinctively rational function of decision at the expense of an adequate discussion of deliberation, this third part, which W.
where R is a rational function of its two arguments, P is a polynomial of degree 3 or 4 with no repeated roots, and c is a constant.
0](a, b, c,d; q) = 1, (the explicit C may be found from (1)), the nth moment is known to be a rational function of a, b, c, d and q.