Definition of Continued fraction

1. Noun. A fraction whose numerator is an integer and whose denominator is an integer plus a fraction whose numerator is an integer and whose denominator is an integer plus a fraction and so on.

Generic synonyms: Fraction

Definition of Continued fraction

1. Noun. (mathematics) A fraction whose numerator is an integer and whose denominator is an integer plus a fraction whose denominator is an integer plus a fraction - and so on to an infinite number of terms. ¹

¹ Source: wiktionary.com

Lexicographical Neighbors of Continued Fraction

continuation bets
continuation betting
continuation line
continuationism
continuations
continuative
continuatives
continuator
continuators
continuaunce
continue
continued
continued fever
continued fraction
continued fractions
continuedly
continuedness
continuer
continuers
continues
continuest
continueth
continuing
continuingly
continuities
continuity
continuity of patient care

Literary usage of Continued fraction

Below you will find example usage of this term as found in modern and/or classical literature:

1. The Encyclopaedia Britannica: A Dictionary of Arts, Sciences, and General by Thomas Spencer Baynes (1888)
"Lagrange's method (1767) gives the root as a continued fraction a + -r - ..., where a is a positive or negative 1 1 integer (which may be - 0), but 6, e, ..."

2. A College Algebra by Henry Burchard Fine (1904)
"11 11 Cj + C, + • • • «8 H ---- CS H ---- 1020 If we compute the continued fraction to which a given irrational number b is equal as far as the rath partial ..."

3. Algebra: An Elementary Text-book for the Higher Classes of Secondary Schools by George Chrystal (1893)
"If the continued fraction terminate, we might of course proceed to reduce it by beginning at the lower end and taking in the partial quotients one by one in ..."

4. Algebra for the Use of Colleges and Schools: With Numerous Examples by Isaac Todhunter (1879)
"In converting a fraction in its lowest terms to a continued fraction, ... A quadratic surd cannot be reduced to a terminating continued fraction, ..."

5. An Introduction to Algebra: Being the First Part of a Course of Mathematics by Jeremiah Day (1853)
"A continued fraction, then, is one whose denominator is a whole number and a fraction; ... To throw a common fraction into the form of a continued fraction, ..."

6. Elements of Algebra by George Albert Wentworth (1885)
"A fraction in the form of a f+ etc. is called a Continued Traction, though the term is commonly restricted to a continued fraction that has 1 for each of ..."

7. A Treatise on Algebra by Charles Smith (1890)
"In order to find any convergent to a continued fraction, the most natural method is to begin at the bottom, as in Arithmetic : thus bs aj>, Ъ№, ..."

Other Resources:

Search for Continued fraction on Dictionary.com!Search for Continued fraction on Thesaurus.com!Search for Continued fraction on Google!Search for Continued fraction on Wikipedia!

Search