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numlib::sqrt2cfrac

Continued fraction expansion of square roots

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Syntax

numlib::sqrt2cfrac(a)

Description

numlib::sqrt2cfrac(a) returns the continued fraction expansion of the square root of a as a sequence of two lists: the first one contains the non-periodic (integer) part, the second one contains the periodic part of the expansion.

Examples

Example 1

The square root of 87 can be written as 9 + q, where q is a number satisfying :

numlib::sqrt2cfrac(87)

Example 2

Since 81 is a perfect square, there is no periodic part in the continued fraction expansion of its square root:

numlib::sqrt2cfrac(81)

Parameters

a

A positive integer

Return Values

If a is a perfect square, numlib::sqrt2cfrac returns a list with one entry; otherwise numlib::sqrt2cfrac returns a sequence of two lists, the first consisting of one integer, the second consisting of one or more integers.

See Also

MuPAD Functions

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