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 < ∞

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

Introduction of Purple and Deep Purple F1 Carrot Hybrids to Egypt Showed High Antioxidant Activity and High Content of Total Flavonoids and Phenols

For the improvement of carrot cultivation in Egypt and because of the deterioration of the local Egyptian purple carrots, two novel colored (Purple and Deep Purple) F1&nbsp;carrot hybrids were introduced for the first time from Netherland to be evaluated and compared to the broadly cultivated yellow Japanese&nbsp;F1&nbsp;hybrid (Kuruda) under the Middle Egypt sandy soil growing conditions. The horticultural evaluation showed that the two purple hybrids have elongated thick roots and good vegetative growth and gave a very high yield of roots in two successive winter seasons of 2013/2014 and 2014/2015. The Deep Purple hybrid exceeded the other two hybrids in almost all studied chemical and horticultural characteristics. It showed about three folds of leaves fresh weight/plant, two folds of both root fresh weight/plant and yield/m2&nbsp;when compared with Purple and Kuruda hybrids. The chemical analyses declared that the Purple and Deep Purple hybrids have higher contents of all estimated components and the Deep Purple hybrid had the highest values of total flavonoids (about two folds), total phenols (about 5-6 folds), antioxidant activity percentage (7-8 times), and total soluble solids percentage (1.5-2 times) than that of the yellow F1&nbsp;hybrid “Kuruda”. These newly introduced two Purple and Deep Purple F1&nbsp;hybrids may be very promising in production and processing purposes of purple carrots and good materials in carrot breeding programs in Egypt

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

Relaxation of ultrasonic waves in ternary TeO2-V2O5-Sm2O3 glasses

Studies were carried out on the attenuation of longitudinal ultrasonic waves in tellurite glasses containing vanadium and samarium oxides with different concentrations, using the pulse echo technique. Glass samples were prepared in the form (composition in mol%): 65 TeO2 - (35 - x) V2O5 - x Sm2O3, where x = 0.1, 0.5, 1.0, 2.0, 3.0, 4.0 and 5.0 mol%. The temperature dependence of the attenuation at ultrasonic frequencies of 2, 4, 6, and 10 MHz in the temperature range 150 to 280 Κ was proved. The shape of the loss peaks, i.e. the relaxation spectra, showed the presence of well-defined peaks at various temperatures depending upon glass composition and operating frequency. It was observed that these loss peaks shift to higher temperatures with increasing frequency suggesting some kind of relaxation process. Activation energies of the relaxation process, and deformation potential were calculated. Results showed that activation energies are strongly dependent on the samarium oxide content. Deformation potential is also frequency- and composition-dependent. Discussion of the results obtained in this study is reported

Spatial patterns of population dynamics in Egypt, 1947-1970

The objective of this study is to analyse spatial patterns of population dynamics in Egypt during the period 1947-70. It is hoped that this may assist in the understanding of the processes underlying demographic change in Egypt and so provide a firmer foundation for future national planning. The main body of the thesis begins in Chapter Two with an overview of Egypt's population growth, with special emphasis on the regional differentials. In the following chapters the analysis of population change becomes more detailed. In Chapter Three the first component of population growth, namely fertility, has been dealt with. In Chapter Four, mortality, the second component, has been discussed, while Chapter Five deals with age and sex structure. Chapter Six examines internal migration, which is extremely important because it concerns the ever-growing concentration of people in Egypt's largest cities, especially Cairo, a concentration which gives rise to some of Egypt’s most serious social and economic problems. This chapter leads into a more specific discussion of the uneven population distribution within the country. Chapter Eight deals with urbanization snowing that Egypt: suffers from over-urbanization, as the rural population continues to flood into urban centres. The concluding chapter examines government policy regarding population change and development. Volume II contains all the basic population data relevant to the thesis

Ultrasound-Guided Erector Spinae Plane Block: A Comparative Study to Assess its Analgesic Efficacy in Pediatric Patients Undergoing Aortic Coarctation Repair

Background: Effective postoperative analgesia is an important aspect of both anesthetic practice and postoperative outcomes. Thoracotomy for the repair of coarctation of the aorta is a painful surgical procedure; inadequate postoperative analgesia may result in postoperative respiratory complications with the possible prolonged need for oxygen therapy. In addition, paradoxical hypertension is a well-recognized complication of repair. We hypothesize that erector spinae plane block (ESPB) by providing adequate analgesia and blocking sympathetic stimulation may reduce opioid consumption, accelerate weaning of oxygen therapy, and reduce the incidence of early postoperative paradoxical hypertension. Material and methods: Open-labeled randomized controlled trial carried out on 40 patients divided into two groups. Group (B) received ESPB before the skin incision and group (C), the control group received no block. Results:&nbsp;Patients who received ESPB had significantly less intraoperative fentanyl consumption than the control group (P-value&lt;0.001), and significantly less postoperative fentanyl consumption by 50% than the control group in the first 12 hours 2.025 ±0.273 μg/kg and 4.05 ±0.527 μg/kg respectively (P-value&lt;0.001). while there was no statistically significant difference between both groups regarding the incidence of postoperative vasodilator infusion for paradoxical hypertension (P-value=0.054), the pediatric anesthesia emergence delirium (PAED) (P-value=0.06) nor the time to wean oxygen supply (P-value=0.49). &nbsp;Conclusion: Erector spinae plane block effectively reduces postoperative pain in pediatric patients undergoing repair of coarctation of the aorta. However, it did not significantly accelerate weaning from oxygen therapy nor reduce the incidence of vasodilator use for postprocedural hypertension

Oxide Film Destruction on Al-Mg Alloys in HCl Solutions

Open circuit potential technique is used to follow the oxide film destruction of three of Al-Mg alloys in HCl solutions of varying concentrations.  Dissolution of the passive film on pare metal surface takes place in two distinct steps indicating that the film is composed mainly of a barrier layer of Al2O3 adjacent to the metal surface and an outer porous modification on the top of the first one. The rates of oxide film destruction and/or dissolution (δ1¯ and δ2¯) follow a direct logarithmic law. The extent of oxide film destruction and metal dissolution were found to increase with increasing the acid concentration and the percent of Mg content in the alloy sample

Nonlinear free boundary problems arising from soil freezing in a bounded region

Changes of density occur naturally in phase transition processes and introduce the bulk movement of material. It is customary in analyzing such problems to disregard this unpleasant complication and assume the densities to be equal. However, such changes are unavoidable and for one-dimensional problems the complexities introduced by this bulk movement can easily be circumvented. The key idea is posing the problem in local coordinates which are fixed in each phase. In this dissertation, we investigate freezing and thawing of soils in a bounded two-phase medium with phases whose material properties are not only distinct but their thermal dependence is also permitted. Generally speaking, when a freezing process takes place in a cooled melt situated in contact with its solid phase, an interface boundary is formed whose movement (as the freezing proceeds) results in compression of both phases. Owing to the density differences, the density of the material will increase, movements will occur in each phase, pressures and thermal stresses will build up in the respective phases, and the freezing point will decrease. Mathematically, this results in three nonlinear free boundary problems for determining: (I) the location of the interface boundary along with the temperature distribution throughout the medium, (II) the pressure and velocity distributions in the unfrozen phase, and (III) the displacement distribution and hence the thermal stresses in the frozen phase. In fact, the temperature satisfies a nonlinear parabolic differential equation on each side of the interface while the temperature is continuous across the interface and equals the transition temperature, the condition of local thermodynamic equilibrium. To consider the problems from the most general point of view, mass forces are taken into account such that the pressure and velocity distributions satisfy a nonlinear couple of hyperbolic differential equations of the first order in the unfrozen phase and the pressure is related to the density through the equation of state. The displacement satisfies a nonlinear hyperbolic differential equation of the second order in the frozen phase which is related to the thermal stresses through the generalized Hooke's law. Across the interface, the pressure is equal to the negation of the normal thermal traction on the interface. Furthermore, the movement of the interface is related to the temperatures, the velocities and the material properties at the interface through conditions of dynamical compatibility for energy and mass transfer. Based upon potential theoretic arguments, we prove existence, uniqueness and continuous dependence on the initial and boundary data of solutions to Problem I. Along with these results, explicit expressions for the densities, the specific heats and the thermal conductivities as functions of time and local coordinates in their respective phases, which fit our analysis, are also obtained. Correspondingly, the characteristic method is utilized to show existence and uniqueness of solutions to Problems II and III, and we demonstrated the continuous dependence of their solutions on the respective data. Moreover, asymptotic estimates for the critical time of breakdown in their solutions are also obtained. Some remarks on discontinuities in general are finally discussed