Results 51 to 60 of about 5,426 (162)

Enhancing the distance minimization methods of matrix updating within a homothetic paradigm

Journal of Economic Structures, 2017
Matrix updating methods are used for constructing the target matrix with the prescribed row and column marginal totals that demonstrates the highest possible level of its structural similarity to initial matrix given.
Vladimir Motorin
doaj   +1 more source

Operads of moduli spaces of points in C^d [PDF]

, 2010
We compute the structure of the homology of an operad built from the spaces TH_{d,n} of configurations of points in C^d, modulo translation and homothety. We find that it is a mild generalization of Getzler's gravity operad, which occurs in dimension d =
Westerland, Craig
core  

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  

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

Approximating Convex Shapes With Respect to Symmetric Difference Under Homotheties [PDF]

, 2016
The symmetric difference is a robust operator for measuring the error of approximating one shape by another. Given two convex shapes P and C, we study the problem of minimizing the volume of their symmetric difference under all possible scalings and translations of C. We prove that the problem can be solved by convex programming.
Juyoung Yon, Sang Won Bae, Siu-Wing Cheng, Otfried Cheong, Bryan T. Wilkinson   +4 more
openalex   +4 more sources

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

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  

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

Classes of homothetic convex sets

Extracta Mathematicae
This is a survey of known results and still open problems on characteristic properties of classes of homothetic convex sets in the n-dimensional Euclidean space.
Valeriu Soltan
doaj   +1 more source