Related papers: A Visual Proof that $\pi^e < e^\pi$
A short proof is given that the graphs with proper interval representations are the same as the graphs with unit interval representations.
We present a short, direct proof of the uniform convexity of L^p spaces for 1<p<\infty.
It is proved that the rank of an elliptic curve is one less the arithmetic complexity of the corresponding non-commutative torus. As an illustration, we consider a family of elliptic curves with complex multiplication.
According to the $q$-series method, a short proof for Hou and Sun's identity, which is the $q$-analogue of a known $\pi$-formula, is offered. Furthermore, $q$-analogues of several other $\pi$-formulas are also established in terms of the…
We give a new proof of the existence of designs, which is much shorter and gives better bounds.
In this article using elementary school level Geometry we observe an alternative proof of Pythagorean Theorem from Heron's Formula.
In this paper, we provide an easy proof of the Four-colour Theorem in a special case indeed.
This note states and proves a representation theorem for regular quantity functions, based on the theory of quantity spaces, thereby giving a new perspective on dimensional analysis and the classical $\pi$ theorem.
This is an elementary geometrical proof of Birkhoff theorem. It is hardly important, but the pictures behind are quite nice.
We obtained a new formula for $\pi$.
This short note present a "proof" of $P\neq NP$. The "proof" with double quotation marks is to indicate that we do not know whether the proof is correct or not (We're confused because we do know in which we make the mistakes).
We give an elementary proof of the group law for elliptic curves using explicit formulas.
In this note, we provide a short proof of Feige's conjecture for identically distributed random variables.
We present a simpler proof of Naji's characterization of circle graphs.
The cross section of e^+e^- to pi^+pi^-pi^+pi^- has been measured by BABAR collaboration. We apply the theoretical cross section deduced from the extended VMD (VectorMeson Dominance) model to fit these experimental data. The relevant…
Pisier's inequality is central in the study of normed spaces and has important applications in geometry. We provide an elementary proof of this inequality, which avoids some non-constructive steps from previous proofs. Our goal is to make…
In this note we give a detailed proof of a theorem of Aubin.
We provide a short proof of the 1-dimensional flat chain conjecture.
The new property of minimal surfaces is obtained in this article.
A criterion is established for the transitivity of connectedness in a transfinite graph. Its proof is much shorter than a prior argument published previously for that criterion.