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We give an elementary proof to Hasse theorem.

General Mathematics · Mathematics 2012-12-12 Jianhua Chen , Debiao He , Zhijin Hu , Yitao Chen , Hao Hu

We give an elementary proof of the group law for elliptic curves using explicit formulas.

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

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

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In this paper we give an elementary proof for Bertrand's postulate also known as Bertrand-Chebyshev theorem.

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

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We provide elementary proof of several congruences involving single sum and multisums of binomial coefficients.

Combinatorics · Mathematics 2017-09-22 Moa Apagodu

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

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

History and Overview · Mathematics 2020-03-31 Stéphane Peigné

We give an elementary proof of Kelley's theorem based on a minimax argument. Some applications to related problems are also developed.

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

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

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We give a remarkably elementary proof of the Brouwer fixed point theorem. The proof is verifiable for most of the mathematicians.

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We present here a simple proof of Brown's diagonalizability theorem for certain elements of the algebra of a left regular band, including probability measures.

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

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We present an astonishingly simple and elegant proof of the celebrated Basel problem.

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This paper gives a self-contained, elementary, and largely pictorial statement of Einstein's equation.

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