Non-uniform sparsity in rapid compressive sensing MRI

Magnetic Resonance Imaging (MRI) is one of the prominent medical imaging techniques. This process is time-consuming and can take several minutes to acquire one image. The aim of this research is to reduce the imaging process time of MRI. This issue is addressed by reducing the number of acquired measurements using theory of Compressive Sensing (CS). Compressive Sensing exploits sparsity in MR images. Randomly under sampled k-space generates incoherent noise which can be handled using a nonlinear image reconstruction method. In this paper, a new framework is presented based on the idea to exploit non-uniform nature of sparsity in MR images, where local sparsity constrains were used instead of traditional global constraint, to further reduce the sample set. Experimental results and comparison with CS using global constraint are demonstrated.

An argument for uniform Australian sentencing law

Sentencing law and practice impacts on fundamental individual interests, both from the perspective of offenders and victims. It also affects community safety and security The scope of sentencing law and its principal objectives are broadly similar throughout Australia. However, there are many important differences, especially in relation to sentencing practice, with some jurisdictions appearing to impose considerably heavier penalties for certain offence types. This article argues that uniform sentencing law should be implemented throughout Australia. The likely benefits would extend beyond achieving greater consistency in sentencing outcomes. A move toward uniform national sentencing laws would provide the catalyst for an objective, evidence-based review of sentencing policy and practice, thereby providing a vehicle for harmonising the law with a wealth of empirical data regarding the objectives that can be achieved through a system of state-imposed sanctions. It would also present a meaningful opportunity for a normative assessment of the justifiable operation of sentencing law. The main impediment to uniform sentencing laws is likely to come from state and territory governments seeking to maintain control over this often socially controversial area as a means of securing and maintaining community support. However, this obstacle is not necessarily insurmountable. It is not clear whether sentencing policy is, in fact, a main driver of voter preferences. Some politicians may prefer to have ·national uniformity' as a buffer to counteract reflexive calls for tougher sentencing that often occur following particularly serious crimes or seemingly light sentences handed down by courts.

Uniform elongation and the stress-strain flow curve of steels calculated from hardness using empirical correlations

An empirical relationship between the hardness and uniform elongation of non-Austenitic hypoeutectoid steels has been developed. This new hardness-elongation relationship was combined with previously developed correlations of hardness and strength (yield and ultimate tensile strength) to predict the stressstrain flow curve from a single hardness test. The current study considers both power law hardening behavior and exponential hardening behavior. Reasonable agreement was observed between the experimental and predicted flow curves of a high strength, low alloy steel. Additionally, an empirical correlation of the flow strength at instability with hardness is provided. © ASM International.

How does the cookie crumble? legal costs under a uniform interpretation of the United Nations Convention on Contracts for the International Sale of Goods

A family owned Mexican company, Zapata Hermanos Sucesores, S.A. ("Zapata"), sold approximately US$950,000 worth of cookie tins over a period of four years to the Maurice Lenell Cooky Company ("Lenell"), an American company that produced baked goods. Lenell failed to pay Zapata for the cookie tins so Zapata sought legal advice and instituted legal proceedings against Lenell for breach of contract in the Federal District Court of Illinios. The cookie tin sale contracts were governed by the United Nations Convention on Contracts for the International Sale of Goods ("CISG"). Zapata succeeded in its Federal District Court claim and, as part of the Court's order, was awarded US$550,000 as foreseeable loss under Article 74 of the CISG, being the amount of legal fees incurred by Zapata in bringing proceedings against Lenell. On appeal to the Federal Appellate Court, however, the award of legal fees was overturned. The parties now find themselves contesting a leave application to appeal to the Supreme Court of the United States of America in a much anticipated debate over who should pay the lawyers.

On a uniform turnpike of the third kind in the Robinson-Solow-Srinivasan model

On using McKenzie’s taxonomy of optimal accumulation in the longrun, we report a “uniform turnpike” theorem of the third kind in a model original to Robinson, Solow and Srinivasan (RSS), and further studied by Stiglitz. Our results are presented in the undiscounted, discrete-time setting emphasized in the recent work of Khan-Mitra, and they rely on the importance of strictly concave felicity functions, or alternatively, on the value of a “marginal rate of transformation”, ξσ, from one period to the next not being unity. Our results, despite their specificity, contribute to the methodology of intertemporal optimization theory, as developed in economics by Ramsey, von Neumann and their followers.

The peremptory influence of a uniform background for trapping neutral fermions with an inversely linear potential

The problem of neutral fermions subject to an inversely linear potential is revisited. It is shown that an infinite set of bound-state solutions can be found on the condition that the fermion is embedded in an additional uniform background potential. An apparent paradox concerning the uncertainty principle is solved by introducing the concept of effective Compton wavelength.

Some experiments with high order compact methods using a computer algebra software - Part II (non-uniform grid)

We generalize a procedure proposed by Mancera and Hunt [P.F.A. Mancera, R. Hunt, Some experiments with high order compact methods using a computer algebra software-Part 1, Appl. Math. Comput., in press, doi: 10.1016/j.amc.2005.05.015] for obtaining a compact fourth-order method to the steady 2D Navier-Stokes equations in the streamfunction formulation-vorticity using the computer algebra system Maple, which includes conformal mappings and non-uniform grids. To analyse the procedure we have solved a constricted stepped channel problem, where a fine grid is placed near the re-entrant corner by transformation of the independent variables. (c) 2006 Elsevier B.V. All rights reserved.

Phosphorylation of Histone H3S10 in Animal Chromosomes: Is There a Uniform Pattern?

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Evolution of spherical non-uniform perturbations in the universe

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Soliton dynamics at an interface between a uniform medium and a nonlinear optical lattice

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Non-uniform drag force on the Fermi accelerator model

Some dynamical properties of a particle suffering the action of a generic drag force are obtained for a dissipative Fermi Acceleration model. The dissipation is introduced via a viscous drag force, like a gas, and is assumed to be proportional to a power of the velocity: F alpha -nu(gamma). The dynamics is described by a two-dimensional nonlinear area-contracting mapping obtained via the solution of Newton's second law of motion. We prove analytically that the decay of high energy is given by a continued fraction which recovers the following expressions: (i) linear for gamma = 1; (ii) exponential for gamma = 2; and (iii) second-degree polynomial type for gamma = 1.5. Our results are discussed for both the complete version and the simplified version. The procedure used in the present paper can be extended to many different kinds of system, including a class of billiards problems.

Uniform exponential dichotomy and continuity of attractors for singularly perturbed damped wave equations

For eta >= 0, we consider a family of damped wave equations u(u) + eta Lambda 1/2u(t) + au(t) + Lambda u = f(u), t > 0, x is an element of Omega subset of R-N, where -Lambda denotes the Laplacian with zero Dirichlet boundary condition in L-2(Omega). For a dissipative nonlinearity f satisfying a suitable growth restrictions these equations define on the phase space H-0(1)(Omega) x L-2(Omega) semigroups {T-eta(t) : t >= 0} which have global attractors A(eta) eta >= 0. We show that the family {A(eta)}(eta >= 0), behaves upper and lower semi-continuously as the parameter eta tends to 0(+).

Geometrically uniform hyperbolic codes

In this paper we generalize the concept of geometrically uniform codes, formerly employed in Euclidean spaces, to hyperbolic spaces. We also show a characterization of generalized coset codes through the concept of G-linear codes.