**Advantages**

Rational function models have the following advantages:

- Rational function models have a moderately simple form.
- Rational function models are a closed family. As with polynomial models, this means that rational function models are not dependent on the underlying metric.
- Rational function models can take on an extremely wide range of shapes, accommodating a much wider range of shapes than does the polynomial family.
- Rational function models have better interpolatory properties than polynomial models. Rational functions are typically smoother and less oscillatory than polynomial models.
- Rational functions have excellent extrapolatory powers. Rational functions can typically be tailored to model the function not only within the domain of the data, but also so as to be in agreement with theoretical/asymptotic behavior outside the domain of interest.
- Rational function models have excellent asymptotic properties. Rational functions can be either finite or infinite for finite values, or finite or infinite for infinite x values. Thus, rational functions can easily be incorporated into a rational function model.
- Rational function models can often be used to model complicated structure with a fairly low degree in both the numerator and denominator. This in turn means that fewer coefficients will be required compared to the polynomial model.
- Rational function models are moderately easy to handle computationally. Although they are nonlinear models, rational function models are particularly easy nonlinear models to fit.

Read more about this topic: Polynomial And Rational Function Modeling, Rational Function Models

### Other articles related to "advantages":

**Advantages**

... A major advantage of C4 is that it can easily be molded into any desired shape ... C4 can be pressed into gaps, cracks, holes and voids in buildings, bridges, equipment or machinery ...

**Advantages**and Dis

**advantages**

... The main

**advantages**of using a superheater are reduced fuel and water consumption but there is a price to pay in increased maintenance costs ... In locomotives used for mineral traffic the

**advantages**seem to have been marginal ...

**Advantages**of Adaptive Reuse

... reuse as a sustainable avenue in the development of key sites, there are many

**advantages**to using certain sites for redevelopment ... Some of these

**advantages**include the site’s location in many cases, historical sites are often located in the centers of large cities due to the spatial development of a given area, these buildings can often ...

### Famous quotes containing the word advantages:

“... there are no chains so galling as the chains of ignorance—no fetters so binding as those that bind the soul, and exclude it from the vast field of useful and scientific knowledge. O, had I received the *advantages* of early education, my ideas would, ere now, have expanded far and wide; but, alas! I possess nothing but moral capability—no teachings but the teachings of the Holy Spirit.”

—Maria Stewart (1803–1879)

“If we live in the Nineteenth Century, why should we not enjoy the *advantages* which the Nineteenth Century offers? Why should our life be in any respect provincial?”

—Henry David Thoreau (1817–1862)

“In 1845 he built himself a small framed house on the shores of Walden Pond, and lived there two years alone, a life of labor and study. This action was quite native and fit for him. No one who knew him would tax him with affectation. He was more unlike his neighbors in his thought than in his action. As soon as he had exhausted himself that *advantages* of his solitude, he abandoned it.”

—Ralph Waldo Emerson (1803–1882)