We consider the Cauchy problem for Laplacian. Using the single layer representation, we obtain an equivalent system of boundary integral equations. We show the singular values of the ill-posed Cauchy operator decay exponentially, which means that a small error is exponentially amplified in the solution of the Cauchy problem. We show the decaying rate is dependent on the geometry of the domain, ...

This paper presents a novel robust digital image watermarking scheme using subsampling and nonnegative matrix factorization. Firstly, subsampling is used to construct a subimage sequence. Then, based on the column similarity of the subimage sequence, nonnegative matrix factorization (NMF) is applied to decompose the sequence. A Gaussian pseudo-random watermark sequence is embedded in the factor...

Pseudohypoaldosteronism type 1 is a rare disorder characterized by renal resistance to aldosterone which may present with a salt wasting crisis in infancy. We report a neonate with hyponatremia, severe dehydration and refractory life threatening hyperkalemia who was treated with dietary sodium chloride supplementation, potassium binding resins and fluid replacement therapy which proved to be li...

The RNA world hypothesis on the origin of life is generally considered as the key to solve the "chicken and egg dilemma" concerning the evolution of genes and proteins as observed in the modern organisms. This hypothesis, however, contains several serious weak points. We have a counterproposal called [GADV]-protein world hypothesis, abbreviated as GADV hypothesis, in which we have suggested tha...

Ofloxacin is a highly efficient and widely used antibiotic drug. It classified as refractory pollutant due to its poor biodegradability. Consequently, it commonly found in water sources, requiring methods for removal. Advanced oxidation processes (AOPs) offer alternatives since those yield complete degradation not achieved adsorption or membrane processes. Previous studies suggest ofloxacin fol...

Introduction The advent of Meaningful Use (MU) has allowed for the expansion of data collected at the hospital level and received by public health for syndromic surveillance. The triage note, a free text expansion on the chief complaint, is one of the many variables that are becoming commonplace in syndromic surveillance data feeds. Triage notes are readily available in many ED information syst...

background: synthetic dyes have several harmful effects on human health as well as aquatic life. in this study, activated carbon (av-ac), based on aloe vera leaf shells, was used as a novel agricultural adsorbent, one that is low-cost and available for the removal of congo red (cr) as a carcinogenic dye from aqueous solutions. methods: in the batch system, the influence of different parameters ...

Robust control problems in linear systems are considered on the base of analysis of related linear quadratic differential game. New explicit formulae for the "best" robust optimal control input and the "worst" exogenous disturbance derived with the use of pseudo-inverse matrices ) (t D+ were originally suggested in this author's previously published paper "Reduction of Dimensionality in Choosin...