Related papers: Yet another elementary proof of Morley's theorem

We present a short proof, relaying on the divergence theorem, verifying that minimal sets in the plane are trivial.

We illustrate the concept of mathematical proof.

We give a short proof of a theorem of J.-E. Pin (theorem 1.1 below), which can be found in his thesis. The part of the proof which is my own (not Pin's) is a complete replacement of the same part in an earlier version of this paper.

We present a new proof of the celebrated quadratic reciprocity law. Our proof is based on group theory.

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

We give a purely combinatorial proof for the infinitary van der Waerden's theorem.

We expose here a short proof of Cramer's theorem in R based on convex duality.

We prove a uniformization theorem in complex algebraic geometry.

Using geometric homology and cohomology we give a simple and conceptual proof of the Thom isomorphism theorem.

Myriad articles are devoted to Mertens's theorem. In yet another, we merely wish to draw attention to a proof by Hardy, which uses a Tauberian theorem of Landau that "leads to the conclusion in a direct and elegant manner". Hardy's proof is…

We complete statement and proof for B. Moss\'e's unilateral recognizability theorem. We also provide an algorithm for deciding the unilateral non-recognizability of a given primitive substitution.

We find an elementary proof for Voiculescu's theorem on the polar decomposition of circular variables.

In this note we give a detailed proof of a theorem of Aubin.

Boolos's proof of incompleteness is extended straightforwardly to yield simple ``diagonalization-free'' proofs of some classical limitative theorems of logic.

A simple proof of the celebrated theorem of Lee and Yang is attempted in this short note.

I present a simple derivation of the de Gennes narrowing phenomenon.

The goal of this expository article is to present a proof that is as direct and elementary as possible of the fundamental theorem of complex multiplication (Shimura, Taniyama, Langlands, Tate, Deligne et al.). The article is a revision of…

By changing variables in a suitable way and using dominated convergence methods, this note gives a short proof of Stirling's formula and its refinement.

Short proof of the aperiodicity of the Robinson tile set.

In the current note, we present a new, short proof of the famous AM-GM-HM inequality using only induction and basic calculus.