Development of signal processing algorithms for ultrasonic detection of coal seam interfaces

A pattern recognition system is presented for determining the thickness of coal remaining on the roof and floor of a coal seam. The system was developed to recognize reflected pulse echo signals that are generated by an acoustical transducer and reflected from the coal seam interface. The flexibility of the system, however, should enable it to identify pulse-echo signals generated by radar or other techniques. The main difference being the specific features extracted from the recorded data as a basis for pattern recognition

Diffusion-Limited Coalescence with Finite Reaction Rates in One Dimension

We study the diffusion-limited process $A+A\to A$ in one dimension, with finite reaction rates. We develop an approximation scheme based on the method of Inter-Particle Distribution Functions (IPDF), which was formerly used for the exact solution of the same process with infinite reaction rate. The approximation becomes exact in the very early time regime (or the reaction-controlled limit) and in the long time (diffusion-controlled) asymptotic limit. For the intermediate time regime, we obtain a simple interpolative behavior between these two limits. We also study the coalescence process (with finite reaction rates) with the back reaction $A\to A+A$, and in the presence of particle input. In each of these cases the system reaches a non-trivial steady state with a finite concentration of particles. Theoretical predictions for the concentration time dependence and for the IPDF are compared to computer simulations. P. A. C. S. Numbers: 82.20.Mj 02.50.+s 05.40.+j 05.70.LnComment: 13 pages (and 4 figures), plain TeX, SISSA-94-0

Diffusion-Limited One-Species Reactions in the Bethe Lattice

We study the kinetics of diffusion-limited coalescence, A+A-->A, and annihilation, A+A-->0, in the Bethe lattice of coordination number z. Correlations build up over time so that the probability to find a particle next to another varies from \rho^2 (\rho is the particle density), initially, when the particles are uncorrelated, to [(z-2)/z]\rho^2, in the long-time asymptotic limit. As a result, the particle density decays inversely proportional to time, \rho ~ 1/kt, but at a rate k that slowly decreases to an asymptotic constant value.Comment: To be published in JPCM, special issue on Kinetics of Chemical Reaction

Dynamical Scaling from Multi-Scale Measurements

We present a new measure of the Dynamical Critical behavior: the "Multi-scale Dynamical Exponent (MDE)"Comment: 9 pages,Latex, Request figures from [email protected]

Statins and non-alcoholic fatty liver disease

Dear Editor, In April 9 issue, van den Berg et al1 report interesting results on the indication for lipid‐lowering treatment in a large cohort with suspected non‐alcoholic fatty liver disease (NAFLD) within the population‐based Lifelines Cohort Study. Fatty liver index (FLI) ≥60 was used as a proxy of NAFLD and the NAFLD fibrosis score (NFS) to identify the NAFLD patients with suspected advanced fibrosis. Cardiovascular disease (CVD) risk was established by the 2016 European society of Cardiology/European Atherosclerosis Society (ESC/EAS) Guidelines for the Management of Dyslipidemias.2 Subjects with FLI ≥ 60 (suspected NAFLD) had an increased 10‐ year predicted cardiovascular risk compared to those with FLI < 60 with an approximately 2 times higher need for statin therapy based on CVD risk prediction and their LDL cholesterol level. Subjects with a FLI ≥ 60 were more likely to be classified with type 2 diabetes, Metabolic Syndrome (MetS), history of CVD and impaired renal function. Interestingly, estimated 10‐year very high cardiovascular risk was approximately 4 times higher in subjects with a NFS > 0.676 compared to those with the absence of advanced fibrosis. Finally, indication for statin treatment was positively associated with a FLI ≥ 60 after controlling for age, sex, current smoking, impaired renal function, and the presence of MetS and its individual components. The above results have an even greater relevance if we consider that all the subjects who were already on statin therapy were subtracted from the analysis. These findings may have an important clinical relevance and emphasize the need for effective treatment with statins in patients with NAFLD. Indeed, accumulating evidence suggests that CVD, rather than liver disease, dictates the outcomes in NAFLD.3 Besides, in most subjects NAFLD constitutes the hepatic component of MetS and numerous patients have atherogenic dyslipidemia. This study further supports the results of a previous study by our group where under prescription of statins in patients with NAFLD was observed.4 In fact, mild liver enzyme elevation remains a concern and despite its proven efficacy and safety,5 statin administration is sometimes limited by the worry about related side effects. Indeed, there is a tendency of general physicians to discourage statin use in patients with baseline elevation of serum liver enzymes and/ or to discontinue medication when minor alterations were appreciated. Of note, in our study, statin under‐use was high also in patients at very high CV risk such as those with a previous CV event. This study by van den Berg et al further stresses the issue of under prescription of statins in people with NAFLD and indication for treatment, based on CV risk class and low‐density lipoprotein cholesterol target according to ESC/EAS guidelines

Kinetics of Heterogeneous Single-Species Annihilation

We investigate the kinetics of diffusion-controlled heterogeneous single-species annihilation, where the diffusivity of each particle may be different. The concentration of the species with the smallest diffusion coefficient has the same time dependence as in homogeneous single-species annihilation, A+A-->0. However, the concentrations of more mobile species decay as power laws in time, but with non-universal exponents that depend on the ratios of the corresponding diffusivities to that of the least mobile species. We determine these exponents both in a mean-field approximation, which should be valid for spatial dimension d>2, and in a phenomenological Smoluchowski theory which is applicable in d<2. Our theoretical predictions compare well with both Monte Carlo simulations and with time series expansions.Comment: TeX, 18 page

Hidden Convexity in Partially Separable Optimization

The paper identifies classes of nonconvex optimization problems whose convex relaxations have optimal solutions which at the same time are global optimal solutions of the original nonconvex problems. Such a hidden convexity property was so far limited to quadratically constrained quadratic problems with one or two constraints. We extend it here to problems with some partial separable structure. Among other things, the new hidden convexity results open up the possibility to solve multi-stage robust optimization problems using certain nonlinear decision rules.convex relaxation of nonconvex problems;hidden convexity;partially separable functions;robust optimization

A Method of Intervals for the Study of Diffusion-Limited Annihilation, A + A --> 0

We introduce a method of intervals for the analysis of diffusion-limited annihilation, A+A -> 0, on the line. The method leads to manageable diffusion equations whose interpretation is intuitively clear. As an example, we treat the following cases: (a) annihilation in the infinite line and in infinite (discrete) chains; (b) annihilation with input of single particles, adjacent particle pairs, and particle pairs separated by a given distance; (c) annihilation, A+A -> 0, along with the birth reaction A -> 3A, on finite rings, with and without diffusion.Comment: RevTeX, 13 pages, 4 figures, 1 table. References Added, and some other minor changes, to conform with final for