Continued fraction/Arithmetic: Difference between revisions
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My description follows [http://perl.plover.com/yak/cftalk/INFO/gosper.txt part of Glover reproduced on perl.plover.com]. This document is text and unnumbered, you may wish to start by searching for "Addition, Multiplication, etc. of Two Continued Fractions" prior to reading the whole thing.
[http://perl.plover.com/classes/cftalk/TALK/slide001.html perl.plover.com] also includes a series of slides as a class on continued fractions. The example [1;5,2] + 1/2 in [[Continued fraction arithmetic/G(matrix NG, Contined Fraction N) | G(
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:So I can define arithmetic as operations on this matrix which make a<sub>12</sub>, a<sub>1</sub>, a<sub>2</sub>, b<sub>12</sub>, b<sub>1</sub>, b<sub>2</sub> zero and read the answer from a and b. This is more interesting when N<sub>1</sub> and N<sub>2</sub> are continued fractions, which is the subject of the following tasks.
==[[Continued fraction arithmetic/G(matrix NG, Contined Fraction N) | G(
* The complete solution G(matrix NG, Continued Fraction N<sub>1</sub>, Continued Fraction N<sub>2</sub>)
* Compare two continued fractions
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