L’utilité des dérivées
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La dérivée peut sembler être une chose bien abstraite lorsqu’on la regarde sous un angle mathématique, puisqu’il est bien difficile de lui trouver une utilité. Cependant, la dérivée occupe une place bien importante dans d’autres domaines. En physique, elle peut servir à étudier le mouvement d’un objet, c’est-à-dire sa Read More →

In probability theory and statistics, the Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time and/or space if these events occur with a known average rate and independently of the time since the last event. The Poisson distribution can also Read More →

Fermat's little theorem states that if p is a prime number, then for any integer a, the number a p − a is an integer multiple of p.
In the notation of modular arithmetic, this is expressed as

For example, if a = 2 and p = 7, 27 = 128, and 128 − 2 = 7 × 18 is an integer Read More →

La loi de la gravitation ou loi de l'attraction universelle, découverte par Isaac Newton, est la loi décrivant la gravitation comme une force responsable de la chute des corps et du mouvement des corps célestes, et de façon générale, de l'attraction entre des corps ayant une masse, par exemple les planètes, les satellites naturels ou Read More →

Prime Factorization (or integer factorization) is a commonly used mathematical problem often used to secure public-key encryption systems.
A common practice is to use very large semi-primes (that is, the result of the multiplication of two prime numbers) as the number securing the encryption.
In order to break it, they would have to find the prime factorization Read More →

Elliptic integrals of the first and second type is given in code, with some example of their implementation. I had recently a need for these types of integrals, both complete and incomplete, and such implementations was not easy to find (I couldn't find anything in C# or VB, as usual, and the C++ versions I Read More →

Sam handed Peter a computer printout and asked, “If the yields are so high, why is my efficiency so low?”
Peter studied the report for a moment and then nodded. “Let me show you what’s going on,” he said as he picked up a marker and drew a diagram (see Figure 1).
“This process has 10 separate Read More →