Continued Fraction

Word CONTINUED FRACTION
Character 18
Hyphenation N/A
Pronunciations N/A

Definitions and meanings of "Continued Fraction"

What do we mean by continued fraction?

Here you will find one or more explanations in English for the word continued-fraction. Define continued-fraction, continued-fraction synonyms, continued-fraction pronunciation, continued-fraction translation, English dictionary definition of continued-fraction.

Synonyms and Antonyms for Continued Fraction

  • Synonyms for continued fraction
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  • Antonyms for continued fraction
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The word "continued-fraction" in example sentences

However, as I mentioned in the general remarks, one could question this by asking, "Why is it that a number with an infinite continued-fraction expansion has to be irrational?" ❋ Gowers (2010)

We begin by calculating the continued-fraction expansion of, so we see that the continued-fraction expansion repeats itself, and, in one reasonably standard notation, is is irrational. ❋ Gowers (2010)

For instance, I could define a number to be irrational if its continued-fraction expansion is non-terminating. ❋ Gowers (2010)

It's utterly obvious because if it has a terminating continued-fraction expansion then you can just work out what rational number it gives you … oops, sorry, that was a proof by contradiction. ❋ Gowers (2010)

Cross Reference for Continued Fraction

  • Continued Fraction cross reference not found!

What does continued fraction mean?

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