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Gabriel Lamé ( July 22, 1795, Tours, France - May 1, 1870, Paris, France) was a French mathematician. He was well known for his notation and study of classes of ellipse-like curves, now known as Lamé curves:-
where n is any positive real number.
He is also known for his running time analysis of the Euclidean algorithm. Using Fibonacci numbers, he proved that when finding the gcd of integers a and b, the algorithm runs in no more than 5k steps, where k is the number of (decimal) digits of b. he also proved a special case of Fermat's last theorem. He actually thought that he found a complete proof for the theorem, but his proof was flawed.
The Lamé function s are part of the theory of ellipsoidal harmonic s.
See also:
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Lamé, Gabriel
Lamé, Gabriel
Lamé, Gabriel
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