相关论文: Short proof of a theorem of Juhasz

A very short proof of the Fej\'er-Riesz lemma is presented in the matrix case

In this note, we combine ideas of several previous proofs in order to obtain a quite short proof of Gr\"otzsch theorem.

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

In this note, we present a simple directed graph proof of Sharkovsky's theorem.

We give a very simple proof of a strengthened version of Chernoff's Inequality. We derive the same conclusion from much weaker assumptions.

We give a short proof of a strengthening of the Maximal Ergodic Theorem which also immediately yields the Pointwise Ergodic Theorem.

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

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

We give an undergraduate short and simple proof for Zariski's lemma.

Arvanitakis established recently a theorem which is a common generalization of Michael's convex selection theorem and Dugundji's extension theorem. In this note we provide a short proof of a more general version of Arvanitakis' result.

I give a simpler proof of the generalisation of Engel's Theorem to Leibniz algebras.

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

A proof is given of Rosenthal's \(\ell_1\) theorem.

In this work we present a simplifyed proof of Kantorovich's Theorem on Newton's Method. This analysis uses a technique which has already been used for obtaining new extensions of this theorem.

Recently we have obtained two simple proofs of Sharkovsky's theorem, one with directed graphs [7] and the other without [8]. In this note, we present yet more simple proofs of Sharkovsky's theorem.

An technically interesting proof of a known theorem.

We present a simple short proof of the Fundamental Theorem of Algebra, without complex analysis and with a minimal use of topology. It can be taught in a first year calculus class.

In this paper we present a surprisingly short proof of Minkowski's second theorem. The author hopes there is no mistake in it, though the argument seems to be too plain to contain one. Also, we apply the main construction of the proof to…

This note offers an elementary proof of the Siegel-Walfisz theorem for primes in arithmetic progressions.

We give a brief historical overview of the famous Pythagoras' theorem and Pythagoras. We present a simple proof of the result and dicsuss some extensions. We follow \cite{thales}, \cite{wiki} and \cite{wiki2} for the historical comments and…