Related papers: A short proof of Cramer's theorem in R
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…
In this paper we give a complete proof of the Brumer-Stark conjecture over $\mathbf{Z}$.
We use the Cramer-Rao bound to show which short magnetic reversals can be recovered successfully from a magnetic anomaly profile. Using a simple variant of the Vine-Matthews model, we show, in particular, that errors in determining the…
In this note we give two proofs of Brooks' Theorem. The first is obtained by modifying an earlier proof and the second by combining two earlier proofs. We believe these proofs are easier to teach in Computer Science courses.
We prove Riemann hypothesis. Method is to show the convexity of function which has zeros on open critical strip the same as zeta function.
Arguably the simplest variation of this style of proof as we avoid reducing to the cubic case entirely.
We prove Sklar's theorem in infinite dimensions via a topological argument and the notion of inverse systems.
In this paper we present another proof of the analytic version of the Hahn-Banach theorem in terms of convex functionals.
We present a short proof of Klartag's central limit theorem for convex bodies, using only the most classical facts about log-concave functions. An appendix is included where we give the proof that thin shell implies CLT. The paper is…
In this note we provide a quick proof of the Sklar's Theorem on the existence of copulas by using the generalized inverse functions as in the one dimensional case, but a little more sophisticated.
The main result can be given a short and elementary proof which has been incorporated into Lemma 3.2 of arXiv:1206.5775
Here is present short proofing of Jordan's theorem about dividing of flat on two disjoint subsets by one closed curve.
A duality theorem for the category of locally compact Hausdorff spaces and continuous maps which generalizes the well-known Duality Theorem of de Vries is proved.
A multivariate Gauss-Lucas theorem is proved, sharpening and generalizing previous results on this topic. The theorem is stated in terms of a seemingly new notion of convexity. Applications to multivariate stable polynomials are given.
We give a new proof of the theorem of Kronecker-Weber based on Kummer theory and Stickelberger's theorem.
In [J. Combin. Theory Ser. B 70 (1997), 2-44] we gave a simplified proof of the Four-Color Theorem. The proof is computer-assisted in the sense that for two lemmas in the article we did not give proofs, and instead asserted that we have…
In this note, we combine ideas of several previous proofs in order to obtain a quite short proof of Gr\"otzsch theorem.
We provide a short proof of the 1-dimensional flat chain conjecture.
We give a new simpler proof of a theorem of Jayne and Rogers.
A convexity theorem for certain G-orbits in a complexified Riemannian symmetric space G_C/K_C is proved. Applications to analytically continued spherical functions will be given.