**Concours Centrale Supelec**

### mathématiques 2 MP

A problem involving analysis and probabilities, where one find a proof of a version of the Central limit Theorem.

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##### Concours X: mathématiques B MP

Sat May 04, 2024Here's a correction of the second Maths composition in MP for the X competitive entrance exam. It's a very difficult subject, in 4 parts. The main object is the study of linear differential equations with periodic coefficients: we are looking for class \…

##### Concours X ENS 24: mathématiques A MP

Thu Apr 25, 2024With the competitive entrance exam season in full swing, today we turn our attention to the prestigious X competitive entrance exam, with this problem A section MP common to the Ecole Normale competitive entrance exam. Linear algebra is really reduced …

##### Quantum bit.

Wed Jan 03, 2024A classical bit can contain either 0 or 1; a quantum bit (qubit) can be in an intermediate state, which is neither 0 nor 1, or both at the same time, a superposition of the two states. Mathematically modeled by: \[ \ket\psi = \alpha\ket0 + \beta\ket1 …

##### Google Page Rank.

Tue Oct 17, 2023In this Centrale Supelec problem , we studied the Perron-Frobenius theorem. This theorem has many applications, one of which is at the heart of the Google search engine. We say that \(M>0\) if \(\forall i,j,\quad m_{ij}>0\) et \(\rho(A)=\max\{\abs{\lambda}…

##### Séries de Dirichlet.

Fri Oct 13, 2023The following exercise will help you apply and better understand Abel transform. It's also an example of a series of functions that converges uniformly on a subset of \(\mathbb{C}\), but not necessarily normally. Exercise: Let \((a_n)_{n\in\mathbb{N…