Related papers: A short proof of the Hilton-Milner Theorem
In this note, we provide a short proof of Feige's conjecture for identically distributed random variables.
In measure theory, Steinhaus theorem is a result that deals with a property of the difference between two sets of positive measure. We give a simple elementary proof of the result.
In this note we give a detailed proof of a theorem of Aubin.
This paper gives a slight refinement of a theorem of Hamilton, which shows that the velocity of a Keplerian motion moves on a circle.
We give a new proof of the existence of designs, which is much shorter and gives better bounds.
We give a simple proof of the increasing strengthening of Arhangel'skii's Theorem. Our proof naturally leads to a refinement of this result of Juh\'asz.
We present a short and self-contained proof of the extension property for partial isometries of the class of all finite metric spaces.
In this note we give a short, direct proof of the well known Combinatorial Nullstellensatz.
We provide a shorter proof to Defant and Kravitz's theorem (arXiv:2201.03461, Theorem 1.2) on the length of Hitomezashi loops modulo 8.
We provide a simple and short proof of the Karush-Kuhn-Tucker theorem with finite number of equality and inequality constraints. The proof relies on an elementary linear algebra lemma and the local inverse theorem.
We present a relative form of the Toponogov comparison theorem.
The purpose of the paper is to present an short proof of the Chuang's inequality.
In this paper we describe various applications of the Riemann-Hilbert method to the theory of orthogonal polynomials on the line and on the circle.
We give an alternative proof of a formula that generalizes Hermite's identity. Instead involving modular arithmetic, our short proof relies on the Fourier-type expansion for the floor function and on a trigonometric formula.
Gives an elementary exposition of the twisted group algebra rep- resentation of simple Clifford algebras
In this paper, we present a simple analytic proof of Siegel's theorem that concerns the lower bound of $L(1,\chi)$ for primitive quadratic $\chi$. Our new method compares an elementary lower bound with an analytic upper bound obtained by…
We present short proofs of Toru\'nczyk's well-known characterization theorems of the Hilbert cube and Hilbert space, respectively.
A short proof of the elliptical range theorem concerning the numerical range of $2\times2$ complex matrices is given.
We give a simple proof of the existence of a minimizer for the Sobolev inequality. Our proof is based on a representation formula via a cut-off fundamental solution.
We report a simple rigidity theorem for certain Euler products.