Examples of 'rational function' in a sentence

Meaning of "rational function"

A rational function is a mathematical function that can be expressed as the ratio or fraction of two polynomial functions. It is composed of a numerator and a denominator, where both are polynomial expressions. Rational functions are commonly used in mathematics and provide a framework for analyzing the behavior and properties of certain equations and functions
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  • Any function expressible as the quotient of two (coprime) polynomials (and which thus has poles at a finite, discrete set of points which are the roots of the denominator).

How to use "rational function" in a sentence

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rational function
The rational function has the approximations.
Expressing the generating function as a rational function.
Let be a rational function with numerator of degree.
The extrapolation function may be a polynomial or rational function.
Rational function models have excellent asymptotic properties.
Calculating the derivative of a rational function.
This is a rational function one polynomial divided by another.
Factor the numerator of the rational function completely.
A rational function is defined as the ratio of two functions.
Determine the domain of a rational function.
The graph of a rational function must have a vertical asymptote.
The integrand is a proper rational function.
A rational function is a function of the form where and are polynomial functions.
This video finds the inverse of a rational function.
The literature on the rational function family is also more limited.

See also

A rational surface is a surface that admits parameterizations by a rational function.
Set the denominator of the rational function equal to zero.
Rational function field.
And express as a rational function.
A function that is the quotient of polynomial functions is called a rational function.
Thus it is a rational function.
A rational function is just a function that has an expression on the numerator and the denominator.
Example of piecewise rational function.
Remember that a rational function is only defined when its denominator is nonzero.
There are some simple rules for determining if a rational function has a horizontal asymptote.
The technique of rational function modeling is a generalization that considers ratios of polynomial functions.
Gaston Julia describes the iteration of a rational function.
You take the denominator of the rational function and divide it into the numerator.
A rational function is a function of the form,.
The basic data item in Fermat is a multivariate rational function or quolynomial.
Definition A rational function f has the form.
In this video, we are going to see if we can graph a rational function.
If f is a polynomial or a rational function and a is the domain of f, then.
Might encounter a function that 's a polynomial or a rational function.
How to decompose a rational function into partial fractions?
For nonpositive integer orders s, the polylogarithm is a rational function.
A constant function such as f ( x ) π is a rational function since constants are polynomials.
Is a rational function of, that is, a function of the form where and are both polynomials.
This gives a uniform approximation by a rational function with poles on Γ.
Cartesian, as a rational function of three co-ordinates used to ascribe two vectors.
This is a discrete-time filter in rational function form.
To solve the integral of a rational function is decomposed into a sum of simple fractions,.
In general this transfer function is a complex, rational function of frequency.
A constant rational function is a function whose numerator and denominator are polynomials of degree 0.
However, we must be careful to check if the rational function can simplify.
Further, there is a rational function which possesses a Herman ring with period 2.
Conversely, to each signed tree may be associated a real-etale rational function.
In the passband, the elliptic rational function varies between zero and unity.
In fact, this kind of simplification is often possible with a discontinuity in a rational function.
The next step to graphing a rational function is finding the domain of the function,.

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