Search results for "nuit"

Menger curvature and Lipschitz parametrizations in metric spaces

2005

Quasihyperbolic boundary conditions and capacity: Uniform continuity of quasiconformal mappings

2005

We prove that quasiconformal maps onto domains which satisfy a suitable growth condition on the quasihyperbolic metric are uniformly continuous when the source domain is equipped with the internal metric. The obtained modulus of continuity and the growth assumption on the quasihyperbolic metric are shown to be essentially sharp. As a tool, we prove a new capacity estimate.

Some Non-linear Geometrical Properties of Banach Spaces

2014

In this survey we report on very recent results about some non-linear geometrical properties of many classes of real and complex Banach spaces and uniform algebras, including the ball algebra \(\fancyscript{A}_u(B_X)\) of all uniformly continuous functions on the closed unit ball and holomorphic on the open unit ball of a complex Banach space \(X\). These geometrical properties are: Polynomial numerical index, Polynomial Daugavet property and Bishop-Phelp-Bollobas property for multilinear mappings.

On holomorphic functions attaining their norms

2004

Abstract We show that on a complex Banach space X , the functions uniformly continuous on the closed unit ball and holomorphic on the open unit ball that attain their norms are dense provided that X has the Radon–Nikodym property. We also show that the same result holds for Banach spaces having a strengthened version of the approximation property but considering just functions which are also weakly uniformly continuous on the unit ball. We prove that there exists a polynomial such that for any fixed positive integer k , it cannot be approximated by norm attaining polynomials with degree less than k . For X=d ∗ (ω,1) , a predual of a Lorentz sequence space, we prove that the product of two p…

Boundary blow-up under Sobolev mappings

2014

We prove that for mappings $W^{1,n}(B^n, \R^n),$ continuous up to the boundary, with modulus of continuity satisfying certain divergence condition, the image of the boundary of the unit ball has zero $n$-Hausdorff measure. For H\"older continuous mappings we also prove an essentially sharp generalized Hausdorff dimension estimate.

Solutions to the 1-harmonic flow with values into a hyper-octant of the N-sphere

2013

Abstract We announce existence results for the 1-harmonic flow from a domain of R m into the first hyper-octant of the N -dimensional unit sphere, under homogeneous Neumann boundary conditions. The arguments rely on a notion of “geodesic representative” of a BV-vector field on its jump set.

THE 1-HARMONIC FLOW WITH VALUES IN A HYPEROCTANT OF THE N-SPHERE

2014

We prove the existence of solutions to the 1-harmonic flow — that is, the formal gradient flow of the total variation of a vector field with respect to the [math] -distance — from a domain of [math] into a hyperoctant of the [math] -dimensional unit sphere, [math] , under homogeneous Neumann boundary conditions. In particular, we characterize the lower-order term appearing in the Euler–Lagrange formulation in terms of the “geodesic representative” of a BV-director field on its jump set. Such characterization relies on a lower semicontinuity argument which leads to a nontrivial and nonconvex minimization problem: to find a shortest path between two points on [math] with respect to a metric w…

Uzņēmuma risku uzskaites informācijas sistēmas un biznesa procesu nepārtrauktības plāna izstrādes projekts

2015

Diplomdarba mērķis ir izstrādāt un ieviest biznesa procesu nepārtrauktības plānu un riska uzskaites informācijas sistēmu uzņēmumā Cabot Latvia, nodrošinot vienotu riska uzskaites un novēršanas sistēmu. Diplomdarbā aprakstīta uzņēmuma darbība, apskatīta pieejamā statistika par biznesa procesu dīkstāves cēloņiem, izpētīti tirgū pieejamie alternatīvie risinājumi, kā arī plaši aprakstīti un analizēti uzņēmuma biznesa procesi un informācijas sistēmas, pētot procesa posmus, kas pakļauti risku ietekmei. Biznesa procesu nepārtrauktības plāns tika izstrādāts, balstoties uz darba gaitā izstrādāto informācijas sistēmu projektu. Mērķa sasniegšanai tika izstrādi riska reģistrēšanas kritēriji, projektēta…

Perceived collective continuity and ingroup identification as defence against death awareness

2008

"Perhaps unique among the animal species, humans are aware that they will ultimately die. Terror management theory (TMT) posits that investing in a social group helps people to manage paralysing anxiety stemming from death awareness. In line with this proposition, research to date has shown that when reminded of their own mortality, people increase their identification with a relevant group and defend its beliefs, values, and practices. In the reported study, we demonstrate that a mortality salience induction enhances people’s perceptions of group temporal endurance—or perceived collective continuity (PCC), as we define it. Enhanced PCC leads, in turn, to enhanced group identification. This…

Business continuity of business models : Evaluating the resilience of business models for contingencies

2019

Company business models are vulnerable to various contingencies in the business environment that may unexpectedly render their business logic ineffective. In particular, technological advancements, such as the Internet of things, big data, sharing economy and crowdsourcing, have enabled new forms of business models that can effectively and abruptly make traditional business models obsolete. By disrupting or even diminishing companies’ revenue streams, environmental contingencies may present a significant threat to business continuity (BC). Evaluating the resilience of business models against these contingencies should therefore be a core area of BC. However, existing BC approaches tend to f…