21 resultados para Trudinger-Moser Inequality
em University of Queensland eSpace - Australia
Resumo:
Australia has experienced a polarization of income and labour market outcomes over the past 20 years (GREGORY and HUNTER, 1995; HARDING, 1996). This has taken an increasingly spatial dimension (HUNTER. 1995a, 1995b), giving rise to concerns that the spatial pooling of disadvantage may hamper the labour market outcomes of youth growing up in poorer residential areas. This paper explores the role that the differential neighbourhood 'quality' of an individual's residential area at age 16 has on their labour market outcomes at age 18 and age 21. Evidence is found that youth who live in poorer quality neighbourhoods face an increased likelihood of being unemployed at both the age of 18 and 21, even after controlling for personal and family characteristics.
Resumo:
Following on from previous work [J.-A. Larsson, Phys. Rev. A 67, 022108 (2003)], Bell inequalities based on correlations between binary digits are considered for a particular entangled state involving 2N trapped ions. These inequalities involve applying displacement operations to half of the ions and then measuring correlations between pairs of corresponding bits in the binary representations of the number of center-of-mass phonons of N particular ions. It is shown that the state violates the inequalities and thus displays nonclassical correlations. It is also demonstrated that it violates a Bell inequality when the displacements are replaced by squeezing operations.
Resumo:
A 16-nation study involving 8,360 participants revealed that hostile and benevolent attitudes toward men, assessed by the Ambivalence Toward Men Inventory (P. Glick & S. T. Fiske, 1999), were (a) reliably measured across cultures, (b) positively correlated (for men and women, within samples and across nations) with each other and with hostile and benevolent sexism toward women (Ambivalent Sexism Inventory, P. Glick & S. T. Fiske, 1996), and (c) negatively correlated with gender equality in cross-national comparisons. Stereotype measures indicated that men were viewed as having less positively valenced but more powerful traits than women. The authors argue that hostile as well as benevolent attitudes toward men reflect and support gender inequality by characterizing men as being designed for dominance.
Resumo:
We consider the solvability of the Neumann problem for the equation -Delta u + lambda u = 0, partial derivative u/partial derivative v = Q(x)vertical bar u vertical bar(q-2)u on partial derivative Omega, where Q is a positive and continuous coefficient on partial derivative Omega, lambda is a parameter and q = 2(N - 1)/(N - 2) is a critical Sobolev exponent for the trace embedding of H-1(Omega) into L-q(partial derivative Omega). We investigate the joint effect of the mean curvature of partial derivative Omega and the shape of the graph of Q on the existence of solutions. As a by product we establish a sharp Sobolev inequality for the trace embedding. In Section 6 we establish the existence of solutions when a parameter lambda interferes with the spectrum of -Delta with the Neumann boundary conditions. We apply a min-max principle based on the topological linking.
Resumo:
Arguably the deepest fact known about the von Neumann entropy, the strong subadditivity inequality is a potent hammer in the quantum information theorist's toolkit. This short tutorial describes a simple proof of strong subadditivity due to Petz [Rep. on Math. Phys. 23 (1), 57-65 (1986)]. It assumes only knowledge of elementary linear algebra and quantum mechanics.
Resumo:
We study Greenberger-Horne-Zeilinger-type (GHZ-type) and W-type three-mode entangled coherent states. Both types of entangled coherent states violate Mermin's version of the Bell inequality with threshold photon detection (i.e., without photon counting). Such an experiment can be performed using linear optics elements and threshold detectors with significant Bell violations for GHZ-type entangled coherent states. However, to demonstrate Bell-type inequality violations for W-type entangled coherent states, additional nonlinear interactions are needed. We also propose an optical scheme to generate W-type entangled coherent states in free-traveling optical fields. The required resources for the generation are a single-photon source, a coherent state source, beam splitters, phase shifters, photodetectors, and Kerr nonlinearities. Our scheme does not necessarily require strong Kerr nonlinear interactions; i.e., weak nonlinearities can be used for the generation of the W-type entangled coherent states. Furthermore, it is also robust against inefficiencies of the single-photon source and the photon detectors.
Resumo:
Let Ω be a smooth exterior domain in ℝN and 1 < p < ∞. We prove that when p ≠ N, Hardy's LP inequality is valid on D01,p(Ω). ©2005 American Mathematical Society
Resumo:
The standard Bell-inequality experiments test for violation of local realism by repeatedly making local measurements on individual copies of an entangled quantum state. Here we investigate the possibility of increasing the violation of a Bell inequality by making collective measurements. We show that the nonlocality of bipartite pure entangled states, quantified by their maximal violation of the Bell-Clauser-Horne inequality, can always be enhanced by collective measurements, even without communication between the parties. For mixed states we also show that collective measurements can increase the violation of Bell inequalities, although numerical evidence suggests that the phenomenon is not common as it is for pure states.
Resumo:
Numerous authors are apparently unaware that bounds on the trace of a matrix product presented in 1995 were originally published in 1990.
Resumo:
The current global development project appears to be premised on the assumption that underlying political debates over development have been settled. An upshot of this is that development is reduced to the theoretical, ideological and legal framework of a neo-liberal political order. However, implicit, and sometimes explicit, political dynamics of development can be rendered from a perspective that foregrounds social struggles. I offer a political analysis of the PRSP initiative by examining its evolution and implications considered within social and political contexts, and by specific reference to the 'poverty reduction' interventions that emerged in the 1980s. I argue that the PRSP initiative is best understood as the formation of a comprehensive extension of neo-liberal strategic responses that emerged in the 1980s. In this context, I discuss the example of microcredit schemes in relation to the PRSP process and demonstrate the analytical significance of micro-political social relations for political analyses of development. The approach I adopt reveals social struggles as relationally constitutive of formations of a hegemonic development discourse otherwise ostensibly rendered in de-contextualized terms. From the perspective of critical development analysis such struggles are the concrete expressions of the contradictions immanent to the dialectic of development through inequality and immiseration in the (re)production of social power.