相关论文: A new proof of a theorem of Jayne and Rogers

We present in this work a new and simple proof of the false centre theorem.

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

An technically interesting proof of a known theorem.

We give a new proof of Lucas' Theorem in elementary number theory.

We present a new, elementary, dynamical proof of the prime number theorem.

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 proof of the existence of designs, which is much shorter and gives better bounds.

We announce here that Fermat's Last theorem was solved, but there is an easy proof of it on the basis of elemetary undergraduate mathematics. We shall disclose such an easy proof.

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

We give a new proof of Brooks' theorem that immediately implies a strengthening of Brooks' theorem, known as Catlin's theorem.

We provide a new simple and transparent proof of the version of Kummer's test given in [Tong, J. (1994). Amer. Math. Monthly. 101(5): 450--452]. Our proof is based on an application of a Hardy--Littlewood Tauberian theorem.

Arguably the simplest variation of this style of proof as we avoid reducing to the cubic case entirely.

We provide a simple proof of Kamp's theorem.

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

We give a short and relatively elementary proof of the Hilton-Milner Theorem.

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

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

We give a pen and paper and (comparatively) much simpler proof to verify of the Four Colour Theorem.

We adapt a construction taken from `L. Motto Ros and B. Semmes, A new proof of a theorem of Jayne and Rogers, Real Anal. Exchange 35(1) (2009/2010), 195-204' in order to correct a mistake contained in the first part of the same paper. As a…

We give a new proof of a theorem of Mansour and Sun by using number theory and Rothe's identity.