continued fraction

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Definitions from WordNet

Noun continued fraction has 1 sense

continued fraction - 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
--₁ is a kind of fraction

Definitions from the Web

Term: Continued Fraction

Definition:

A continued fraction is a mathematical expression that represents a number as an infinite series of fractions in a specific pattern, where each fraction is the reciprocal of an integer plus a fraction itself.

Sense 1 (Mathematics):

In mathematics, a continued fraction is a representation of a number by an infinite series of fractions.

Example (Mathematics):

"The decimal value of the continued fraction [2; 1, 2, 1, 1, 4, 1, 1, 6, 1, ...] is equal to the square root of 2."

Sense 2 (Computing):

In computing, a continued fraction is a method used for approximating real numbers efficiently.

Example (Computing):

"The continued fraction algorithm is commonly used for obtaining accurate numeric approximations in computer programs."

Sense 3 (Physics):

In physics, continued fractions are utilized for the representation of certain physical quantities and phenomena.

Example (Physics):

"Continued fractions help in expressing quantum wave functions and energy levels in quantum mechanics."

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