Equisummability Theorems for Laguerre Series

Here we prove results about Riesz summability of classical Laguerre series, locally uniformly or on the Lebesgue set of the function f such that (∫(1 + x)^(mp) |f(x)|^p dx )^(1/p) < ∞, for some p and m satisfying 1 ≤ p ≤ ∞, −∞ < m < ∞

Preliminary Investigation of the Frictional Response of Reptilian Shed Skin

Developing deterministic surfaces relies on controlling the structure of the rubbing interface so that not only the surface is of optimized topography, but also is able to self-adjust its tribological behaviour according to the evolution of sliding conditions. In seeking inspirations for such designs, many engineers are turning toward the biological world to correlate surface structure to functional behavior of bio-analogues. From a tribological point of view, squamate reptiles offer diverse examples where surface texturing, submicron and nano-scale features, achieve frictional regulation. In this paper, we study the frictional response of shed skin obtained from a snake (Python regius). The study employed a specially designed tribo-acoustic probe capable of measuring the coefficient of friction and detecting the acoustical behavior of the skin in vivo. The results confirm the anisotropy of the frictional response of snakes. The coefficient of friction depends on the direction of sliding: the value in forward motion is lower than that in the backward direction. In addition it is shown that the anisotropy of the frictional response may stem from profile asymmetry of the individual fibril structures present within the ventral scales of the reptil

Synthesis and reactions of some new thieno[2,3-b]quinolines and pyrrolylthienoquinolines

8-Benzylidene-3-cyano-4-phenyl-5,6,7,8-tetrahydroquinolin-2(1H)thione (2) was synthesized and used asstarting material for the synthesis of poly fused heterocycles e.g thienoquinolines, oxadiazolylthienoquinolines and pyrrolylthienoquinolines

Improved feature selection using a hybrid side-blotched lizard algorithm and genetic algorithm approach

Feature selection entails choosing the significant features among a wide collection of original features that are essential for predicting test data using a classifier. Feature selection is commonly used in various applications, such as bioinformatics, data mining, and the analysis of written texts, where the dataset contains tens or hundreds of thousands of features, making it difficult to analyze such a large feature set. Removing irrelevant features improves the predictor performance, making it more accurate and cost-effective. In this research, a novel hybrid technique is presented for feature selection that aims to enhance classification accuracy. A hybrid binary version of side-blotched lizard algorithm (SBLA) with genetic algorithm (GA), namely SBLAGA, which combines the strengths of both algorithms is proposed. We use a sigmoid function to adapt the continuous variables values into a binary one, and evaluate our proposed algorithm on twenty-three standard benchmark datasets. Average classification accuracy, average number of selected features and average fitness value were the evaluation criteria. According to the experimental results, SBLAGA demonstrated superior performance compared to SBLA and GA with regards to these criteria. We further compare SBLAGA with four wrapper feature selection methods that are widely used in the literature, and find it to be more efficient

Thermal Fragmentation and Rearrangement of 3-phenyl-4-aryl-5-phenylimino-1,2,4-oxadiazoline Derivatives

Thermal fragmentation of 3-phenyl-4-aryl-5-phenylimino-1,2,4-oxadiazolines I and II (Ar= Ph, p-tolyl) in a sealed tube under nitrogen gives rise to benzonitrile, arylamines, anilides, phenols, arylureas, and benzimidazole derivatives. In the presence of naphthalene as solvent, I gave α- and β-naphthols beside the previous products. Also, heating of I under reflux in boiling anhydrous tetraline lead to the formation of 1-hydroxytetraline, α-tetralone and 1,1’-bitetralyl as the major products. The isolated products have been interpreted in term of a free radical mechanism involving the homolysis of N-O and/or C-N bond