{ A new lossy variant of the Fixed-Database Lempel-Ziv coding algorithm for encoding at a xed distortion level is proposed, and its asymptotic optimality and universality for memoryless sources (with respect to bounded single-letter distortion measures) is demonstrated: As the database size m increases to innnity, the expected compression ratio approaches the rate-distortion function. The compl...

The crystal and magnetic structures of SrLnFeRuO(6) (Ln = La, Pr, Nd) double perovskites have been investigated. All compounds crystallize with an orthorhombic Pbnm structure at room temperature. These materials show complete chemical disorder of Fe and Ru cations for all compounds. The distortion of the structure, relative to the ideal cubic perovskite, has been decomposed into distortion mode...

We discuss boundedness and distortion in transformation groups. We show that the groups Diff0(R) and Diff (Rn) have the strong distortion property, whenever 0 ≤ r ≤ ∞, r 6= n+ 1. This implies in particular that every abstract length function on these groups is bounded. With related techniques we show that, for M a closed manifold or homeomorphic to the interior of a compact manifold with bounda...

In recent years attention has been turned to the use of neural network-derived algorithms to restore images using a model-based approach. Considering an M by M input image, in most cases the image degradation model is a spatially and temporally invariant linear distortion described by the equation (Pratt [1]) (Andrews and Hunt [2]): Where f and g are the M2 by 1 lexicographically organized orig...

A recent image quality measure, M-SVD, can express the quality of distorted images either numerically or graphically. Based on the Singular Value Decomposition (SVD), it consistently measures the distortion across different distortion types and within a given distortion type at different distortion levels. The SVD decomposes every real matrix into a product of three matrices A = USV, where U an...

The chemical substitution of a transition metal (M) is an effective method to improve the functionality of a material, such as its electrochemical, magnetic, and dielectric properties. The substitution, however, causes local lattice distortion because the difference in the ionic radius (r) modifies the local interatomic distances. Here, we systematically investigated the local structures in the...

We constructed a genetic linkage map between two divergent populations of Mimulus guttatus. We genotyped an F(2) mapping population (N = 539) at 154 AFLP, microsatellite, and gene-based markers. A framework map was constructed consisting of 112 marker loci on 14 linkage groups with a total map length of 1518 cM Kosambi. Nearly half of all markers (48%) exhibited significant transmission ratio d...

It was shown recently by Fakcharoenphol et al. [7] that arbitrary finite metrics can be embedded into distributions over tree metrics with distortion O(logn). It is also known that this bound is tight since there are expander graphs which cannot be embedded into distributions over trees with better than Ω(logn) distortion. We show that this same lower bound holds for embeddings into distributio...

In the presence of mixing between massive neutrino states, the distortion of the electron spectrum in beta decay is, in general, a function of several masses and mixing angles. For 3ν-schemes which describe the solar and atmospheric neutrino data, this distortion can be described by a single effective mass, under certain conditions. In the literature, two different definitions for the effective...