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A Supplement to J. Shallit's Paper “Origins of the Analysis of the Euclidean Algorithm”

✍ Scribed by Peter Schreiber

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
166 KB
Volume
22
Category
Article
ISSN
0315-0860

No coin nor oath required. For personal study only.

✦ Synopsis

As early as the 16th century, Simon Jacob, a German reckoning master, noticed that the worst case in computing the greatest common divisor of two numbers by the Euclidean algorithm occurs if these numbers are equimultiples of two consecutive members of the Fibonacci sequence.

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