continued fraction

Noun

Meaning

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

Alternative names

continued-fraction

Hypernyms

Examples

An infinite continued fraction representation for an irrational number is useful because its initial segments provide rational approximations to the number. Source: Internet

Every irrational number has a unique representation by a continued fraction : where is some integer and all the other numbers are positive integers. Source: Internet

If a short-circuit develops with set to 0, will return +infinity which will give a final of 0, as expected citation (see the continued fraction example of IEEE 754 design rationale for another example). Source: Internet

If the expression contains an infinite number of terms, it is called an infinite continued fraction. Source: Internet

In particular, it must terminate and produce a finite continued fraction representation of the number. Source: Internet

Lochs' theorem states that n th convergent of the continued fraction expansion of almost all real numbers determines the number to an average accuracy of just over n decimal places. Source: Internet

Close letter words and terms