Word Pronunciation & Dictionary

rational function

Word Rarity Rare

Frequency: Zipf frequency 3.98 in modern English

Syllables: ra-tio-nal -func-tion
IPA

21

Scrabble Score

16

Letters

5

Syllables

10

Unique Chars

Meaning

noun

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).

Example Sentences

"Our first problem is that of interpolation in prescribed points to a given function by a rational function whose poles are given."
"By Theorem 2.3.2., we have that the right-hand side of this equation can be equal to a rational function only if that rational function is equal to zero."
"Let #92;mathcal#123;C#125; be the class of continuous maps of #92;mathbb#123;C#125;#95;#92;infty into itself and let #92;mathcal#123;R#125; be the subclass of rational functions.[…]Now #92;mathcal#123;R#125; is a closed subset of #92;mathcal#123;C#125;#95;#92;infty because if the rational functions R#95;n converge uniformly to R on the complex sphere, then R is analytic on the sphere and so it too is rational."

Inflected Forms

rational functions (plural)

Questions

What does rational function mean?: 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 pronounce rational function

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