Short proof of Menger's Theorem in Coq (Proof Pearl)

In the study on the controllability of PDE, the inequality of this type is the foundation of Lebeau–Robbiano iteration technology. Then, this inequality was used to establish a

By Elkhadiri and Sfouli [15], Weierstrass division does not hold in quasianalytic systems that extend strictly the analytic system.. Hence the resolu- tion of Childress’

— In the main result of this paper we prove that a codimension one foliation of P n , which is locally a product near every point of some codimension two component of the singular

We prove that the integral cohomology modulo torsion of a rationally connected threefold comes from the integral cohomology of a smooth curve via the cylinder ho- momorphism

Keywords: semilinear elliptic equations; Lin-Ni conjecture; Sobolev inequality; interpo- lation; Gagliardo-Nirenberg inequalities; Keller-Lieb-Thirring inequality; optimal con-

We would like to solve this problem by using the One-dimensional Convex Integration Theory.. But there is no obvious choice

This shows that m i > n i (the first of them is sum of lengths of threads, the second is the maximum of lengths of threads). one can take the Jordan normal form and change

The solution issued from n 0,1 ε (Figures 2b-2c-2d) keeps a total population size that is close to zero during a whole time interval, before increasing again very fast from a