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Algorithmics 07 – From Shannon to Karatsuba or the Reverse ?

We can observe C. Shannon as a genius engineer and Karatsuba as a smart mathematician. But how did they think about physics and how Shannon explained theories ? Do discovers follow ideas or the invert ? You can follow in direct live my own postdoc research on subject « How to improve Signal Behaviour ? » Why ? « To improve accuracy […]

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Algorithmic 06 – The Billion, the Billion* ! Primes !

Here after two days calculations by a simple computer with no bugs we do 1 billion searches by number of prime numbers in parts of density number then we do   divisions. It is a … great number. (*) : The billion, the billion : Title of a caricatural joke by « Les inconnus » to describe the […]

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Algorithmics 05-1 – Prime Numbers

Why don’t we read [KARATSUBA-1963] references ? Has a habit there are two theorems : . Theorem 1 called as Ofman. . Theorem 2 called as Karatsuba. . Lemme … … without a correct demonstration ? Russian Mathematician M. Karatsuba and Ofman wrote a paper in 1963 with two theorems and a lemme [1] . […]

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