Results 21 to 30 of about 2,903,679 (247)
The ball embedding property of the open unit disc
We prove that the open unit disc Delta in C satisfies the ball embedding property in C(2); i.e., given any discrete set of discs in C(2) there exists a proper holomorphic embedding Delta hooked right arrow C(2) which passes arbitrarily close to the discs.
Borell, Stefan, +2 more
core +1 more source
Unit ball in high dimensions [PDF]
In this article, we compute the volume V n of the unit ball in an n-dimensional space. For n = 1, 2, 3, the volumes are respectively 2, π 4π /3, which are the length of interval [-1,1], area of a unit circle and volume of the unit sphere.
Athreya, K. B.
core +1 more source
Radial 3D-Needlets on the Unit Ball [PDF]
AbstractWe present a simple construction of spherical wavelets for the unit ball, which we label Radial 3D Needlets. We envisage an experimental framework where data are collected on concentric spheres with the same pixelization at different radial distances from the origin.
Durastanti, C. +4 more
openaire +2 more sources
Stability of positive part of unit ball in Orlicz spaces [PDF]
summary:The aim of this paper is to investigate the stability of the positive part of the unit ball in Orlicz spaces, endowed with the Luxemburg norm. The convex set $Q$ in a topological vector space is stable if the midpoint map $\Phi\colon Q\times Q ...
Seredyński, Witold +1 more
core +1 more source
Generating ball trajectory in soccer video sequences [PDF]
This paper demonstrates innovative techniques for estimating the trajectory of a soccer ball, using fixed cameras with constant calibration parameters.
Orwell, James +4 more
core +2 more sources
Touching graphs of unit balls [PDF]
The touching graph of balls is a graph that admits a representation by non-intersecting balls in the space (of prescribed dimension), so that its edges correspond to touching pairs of balls. By a classical result of Koebe [5], the disc touching graphs are exactly the planar graphs. This paper deals with a recognition of unit-ball touching graphs. The 2-
openaire +1 more source
On holomorphic isometric embeddings of the unit n-ball into products of two unit m-balls [PDF]
Let \({\mathbb B}^n\) denote the unit ball in \({\mathbb C}^n\) equipped with the Bergman metric. The author considers a holomorphic embedding \(F(z)=\bigl(A(z),B(z)\bigr)\) from the product \({\mathbb B}^m\times {\mathbb B}^m\) into \({\mathbb B}^n\), isometric up to a normalization constant \(\lambda \). There are two trivial such embeddings: \(F_1(z)
openaire +4 more sources
Concentration of the distance between points in the unit ball [PDF]
We prove that in every finite dimensional normed space, for “most” pairs (x, y) of points in the unit ball, ║x − y║ is more than √2(1 − ε). As a consequence, we obtain a result proved by Bourgain, using QS-decomposition, that guarantees an exponentially ...
Villa, R, Ball, KM
core
The unit ball of \(L_s(^2l_{\infty}^3)\) [PDF]
We classify the extreme and exposed symmetric bilinear forms of the unit ball of the space \({\mathcal L}_s(^2l_{\infty}^3)\)
Sung Guen Kim, Kim, Sung Guen
core +1 more source
Impact of MgO Additions on the Oxidation Resistance and Compression Behavior of Vanadium Alloys
An increase in oxidation resistance at 600 °C is achieved for alloys containing more than 2.5 wt.% MgO. It has been established that, along with V2O5, MgO6V2, and Mg2O7V2 are formed, which are presumed to enhance oxidative stability. Furthermore, the possible transformation of Mg‐vanadates through reaction with CO2, which presumably occurs in this ...
Ievgen Solodkyi +5 more
wiley +1 more source

