Background CMR tagging in polar patterns is desirable because of its close compatibility to the annular geometry and motion of the left ventricle in short axis view. This circular symmetry does not exist in some pathological cases neither in the normal long axis view. An oval-shaped pattern is more suitable for assessment of the deformation in these conditions. Herein, we present the non-unifor...

We provide a joint strong approximation of the uniform spacings empirical pro1 cess and of the uniform quantile process by sequences of independent Gaussian processes. 2 This allows us to obtain an explicit description of the limiting Gaussian process generated by 3 the sample spacings from a non-uniform distribution. It is of the form B(t)+ (1− σF ){(1− 4 t) log(1 − t)} ∫ 1 0 {B(s)/(1 − s)}ds,...

In [BE01], Bucciarelli and Ehrhard propose a general tool for building a wide class of models of linear logic where a formula is interpreted as a set (the web) together with a kind of phase valued “coherence relation”. These interpretations are nonuniform in the sense that the semantics of a proof makes no assumption about the behaviour of its possible counter-proofs, unlike e.g. in the usual s...

The error incurred in the representation of contact pressure at edges incomplete contacts by first order asymptotes is treated, and maximum value relative found for a range geometries, both symmetric non-symmetric. For power-law geometry, we identify when first-order asymptote achieves fidelity. Shear tractions are excited application shear force bulk tension one body. An asymptotic traction di...

singular perturbation problems have been studied by many mathematicians. since the approximate solutions of these problems are as the sum of internal solution (boundary layer area) and external ones, the formation or non-formation of boundary layers should be specified. this paper, investigates this issue for a singular perturbation problem including a first order differential equation with gen...