Related papers: Simple derivation of de Gennes narrowing

We give a new simpler proof of a theorem of Jayne and Rogers.

We provide a short proof of the 1-dimensional flat chain conjecture.

A very simple but useful almost sure convergence theorem of probability is given.

We propose a simple model which possesses the chain fountain effect.

The aim of this short note is to present an elementary, self-contained, and direct proof for the classical Lebesgue decomposition theorem.

Probably we have observed a new simple phenomena dealing with approximations to two real numbers.

A very short proof of Kneser's theorem via transversal is given.

It gives some new forms of General Neron Desingularization and new applications.

This note is devoted to prove that the de Gennes function has a holomorphic extension on a strip containing the real axis.

Instantaneous derivation of the Thomas precession with only basic vector calculus.

We present a simpler proof of Naji's characterization of circle graphs.

I present a simple, elementary proof of Morley's theorem, highlighting the naturalness of this theorem.

A recent study (arXiv:1109.1968v2, to be published in American Journal of Physics) claims to provide a classical explanation of the Meissner effect. However, the argument misuses de Gennes' derivation of flux expulsion in superconductors.

We present simple and direct proof to an important case of Nash-Moser-Ekeland theorem.

We present a simple inductive proof of the Lagrange Inversion Formula.

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In this paper, we give a simple counter example to the famous Hodge conjecture.

Instantaneous derivation of the Thomas precession.

I give simple elementary proofs for some well-known Hankel determinants and their q-analogues.

It is discussed that Zeeman's theorem can be directly obtained from Liouville's theorem if we assume sufficient differentiability.