Hasil untuk "math.MG"

Vikhrov A. Anton

In this paper we prove that generic metric spaces are everywhere dense in the proper class of all metric spaces endowed with the Gromov-Hausdorff distance.

Ammar Hussain

This article describes a structure that metric spaces can be equipped with so that they resemble normed vector spaces and examines necessary and sufficient conditions for the existence of such a structure on a general metric space.

Stanislav Dubrovskiy

We show that absolute correlation distance satisfies a K-relaxed triangle inequality, with the best K = 2.

Silouanos Brazitikos, Finlay McIntyre

We investigate a Maclaurin inequality for vectors and its connection to an Aleksandrov-type inequality for parallelepipeds.

Atte Lohvansuu

We study the duality of moduli of k- and (n-k)-dimensional slices of euclidean n-cubes, and establish the optimal upper bound 1.

Iskander Aliev

We obtain an optimal upper bound for the normalised volume of a hyperplane section of an origin-symmetric d-dimensional cube. This confirms a conjecture posed by Imre Barany and Peter Frankl.

Xuefei Huang, Weigang Huang

Hailun Zheng, Michał Zydor

We define a new family of valuations on polyhedral cones valued in the space of bounded polyhedra.

Alexander Skutin

In this article we will represent some ideas and a lot of new theorems in Euclidean plane geometry.

Shiri Artstein-Avidan

In this short note we improve the best to date bound in Godbersen's conjecture, and show some implications for unbalanced difference bodies.

Zohreh Shahbazi

This paper introduces an extension of Heron's formula to approximate area of cyclic n-gons where the error never exceeds $\fracπ{e}-1$

H. T. Fortune, R. Sherr

Alexander Koldobsky

We prove an inequality that extends to arbitrary measures the hyperplane inequality for volume of unconditional convex bodies originally observed by Bourgain.

Fedor Nilov

We give several new examples of hexagonal 3-webs of circles in the plane and give a survey on such webs.

Alexander Koldobsky

We prove an estimate for arbitrary measure of sections of convex bodies. The proof is based on a stability result for intersection bodies.

H. T. Fortune, R. Sherr

H. T. Fortune

In‐Ho Jung, Jina Kim

AbstractChemInform is a weekly Abstracting Service, delivering concise information at a glance that was extracted from about 100 leading journals. To access a ChemInform Abstract of an article which was published elsewhere, please select a “Full Text” option. The original article is trackable via the “References” option.

Christopher Bradley

A construction is given of five Hagge circles complete with supporting calculations.

V. Soltan

We describe convex quadric surfaces in n dimensions and characterize them as convex surfaces with quadric sections by a continuous family of hyperplanes.