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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.
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
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№, ..."
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