User:Vincent Lextrait

I am contributor to the French pages of Wikipedia [1].

Dashes

A frequent mistake is to add spaces around em dashes. In case of doubt: Manual for dashes.

MAD

I have been, in 1984, the co-author with Bruno Chabrier of MAD.

Travelling

I have travelled in:

Dvaravati

• 
  7^th century Mon/Dvaravati sandstone head of Buddha. Front.
• 
  7^th century Mon/Dvaravati sandstone head of Buddha. Side.

Question 6 generalized

${\displaystyle {\frac {a^{n}+b^{n}}{\displaystyle \sum _{i=2}^{n}\sum _{j=1}^{i-1}a^{i-j}b^{j}+1}}}$ with ${\displaystyle (a;b)\in {\mathbb {N} ^{+}}^{2},n\in \mathbb {N} ,n\geq 2}$, when it yields a result in ${\displaystyle \mathbb {N} }$, is always a power of ${\displaystyle n}$.

Question 6 is the case where ${\displaystyle n}$ is 2.

When ${\displaystyle n}$ is 3, there are only two solutions (symmetry put aside): ${\displaystyle (1;2)}$ and ${\displaystyle (7;9)}$, both yielding ${\displaystyle 1=1^{3}}$.

When ${\displaystyle n>3}$, there are no solutions.

Incompressible real numbers

Let I be the set of real numbers with an infinite Kolmogorov complexity. I is the set of incompressible numbers. Show that I is dense in ${\displaystyle \mathbb {R} }$.

Software development index

The software development index of a developer for a given programming language is the average number of lines of code written in that language that turn out to be bug free. The whole mankind is between 3 and 20.