Results 31 to 40 of about 5,300 (153)
On a Gallai‐type problem and illumination of spiky balls and cap bodies
Mathematika, Volume 71, Issue 2, April 2025.Abstract We show that any finite family of pairwise intersecting balls in En${\mathbb {E}}^n$ can be pierced by (3/2+o(1))n$(\sqrt {3/2}+o(1))^n$ points improving the previously known estimate of (2+o(1))n$(2+o(1))^n$. As a corollary, this implies that any 2‐illuminable spiky ball in En${\mathbb {E}}^n$ can be illuminated by (3/2+o(1))n$(\sqrt {3/2}+o ...
Andrii Arman +3 more
wiley +1 more source
On Numerical Characteristics of а Simplex and their Estimates
Моделирование и анализ информационных систем, 2016 Let \(n\in {\mathbb N}\), and let \(Q_n=[0,1]^n\) be the \(n\)-dimensionalunit cube. For a nondegenerate simplex \(S\subset {\mathbb R}^n\), by\(\sigma S\) we denote the homothetic image of \(S\)with the center of homothety in the center of gravity of S ...
M. V. Nevskii, A. Yu. Ukhalov
doaj +1 more source
Functional optimization of the arterial network [PDF]
, 2014 We build an evolutionary scenario that explains how some crucial physiological constraints in the arterial network of mammals - i.e. hematocrit, vessels diameters and arterial pressure drops - could have been selected by evolution.
Mauroy, Benjamin, Moreau, Baptiste
core
Constraints on Interacting Scalars in 2T Field Theory and No Scale Models in 1T Field Theory
, 2010 In this paper I determine the general form of the physical and mathematical restrictions that arise on the interactions of gravity and scalar fields in the 2T field theory setting, in d+2 dimensions, as well as in the emerging shadows in d dimensions ...
Itzhak Bars, J. Wess, S. Weinberg
core +1 more source
All two‐dimensional expanding Ricci solitons
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract The second author and H. Yin [Ars Inveniendi Analytica. DOI 10.15781/4x5c-9q97] have developed a Ricci flow existence theory that gives a complete Ricci flow starting with a surface equipped with a conformal structure and a non‐atomic Radon measure as a volume measure. This led to the discovery of a large array of new expanding Ricci solitons.
Luke T. Peachey, Peter M. Topping
wiley +1 more source
On the irreducibility of locally metric connections
, 2016 A locally metric connection on a smooth manifold $M$ is a torsion-free connection $D$ on $TM$ with compact restricted holonomy group $\mathrm{Hol}_0(D)$.
Belgun, Florin, Moroianu, Andrei
core +2 more sources
Carlitz operators and higher polylogarithm identities
Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.Abstract We study a higher dimension generalization of Carlitz's polynomials, first introduced by Papanikolas, and compute an ∞$\infty$‐adic limit of a sequence of normalizations, relating it to the exponential function of an Anderson module that we completely describe.
F. Pellarin
wiley +1 more source
On Geometric Characteristics of an n-Dimensional Simplex
Моделирование и анализ информационных систем, 2011 We prove and discuss some propositions for geometric characteristics of an n-dimensional simplex. Also we note the connection with linear interpolation on the cube [0; 1]^n.
M. V. Nevskii
doaj
Incircular nets and confocal conics
, 2017 We consider congruences of straight lines in a plane with the combinatorics of the square grid, with all elementary quadrilaterals possessing an incircle. It is shown that all the vertices of such nets (we call them incircular or IC-nets) lie on confocal
Akopyan, Arseniy, Bobenko, Alexander I.
core +1 more source
Realization of finite groups as isometry groups and problems of minimality
Mathematische Nachrichten, Volume 298, Issue 2, Page 419-426, February 2025.Abstract A finite group G$G$ is said to be realized by a finite subset V$V$ of a Euclidean space Rn$\mathbb {R}^n$ if the isometry group of V$V$ is isomorphic to G$G$. We prove that every finite group can be realized by a finite subset V⊂R|G|$V\subset \mathbb {R}^{|G|}$ consisting of |G|(|S|+1)(≤|G|(log2(|G|)+1))$|G|(|S|+1) (\le |G|(\log _2(|G|)+1 ...
Pedro J. Chocano
wiley +1 more source