Certain Inequalities Involving the qq-Deformed Gamma Function

This paper is inspired by the work of J. S\'{a}ndor in 2006. In the paper, the authors establish some double inequalities involving the ratio $\frac{\Gamma_{q}(x+1)}{ \Gamma_{q} \left( x+\frac{1}{2}\right)}$, where $\Gamma_{q}(x)$ is the $q$-deformation of the classical Gamma function denoted by $\Gamma(x)$. The method employed in presenting the results makes use of Jackson's $q$-integral representation of the $q$-deformed Gamma function. In addition, H\"{o}lder's inequality for the $q$-integral, as well as some basic analytical techniques involving the $q$-analogue of the psi function are used. As a consequence, $q$-analogues of the classical Wendel's asymptotic relation are obtained. At the end, sharpness of the inequalities established in this paper is investigated.Comment: Cite this article as: "K. Nantomah and E. Prempeh, Certain inequalities involving the q-deformed Gamma function, Problemy Analiza - Issues of Analysis, 3(22)(2015), No.1, In press.

Monitoring Corrosion Of A One Inch Ball Valve In A Hydraulic Loop Using Ultrasonic Technology

ABSTRACT Ball valves with carbon steel bodies that help modulate flow rates are valuable parts in the process chemical industry. While corrosion monitoring is widely studied, there is not much information available regarding corrosion monitoring of control valves, as referenced in the literature review for this dissertation. This research investigated some foundational blocks for how corrosion can be monitored for a carbon steel body ball valve using ultrasonic technology. Topics that were addressed during this research include: Monitoring corrosion in a carbon steel 1inch ball valve in a constant flow rate environment, in the presence of sodium chloride solution, mixtures of sodium chloride and acetic acid with pH ranging from 4 to 8. Monitoring and analysis of the corrosion impact for the inlet and outlet of carbon steel ball valve using handheld ultrasonic thickness meter in constant flow conditions. Embedded ultrasonic transducers on carbon steel control valve body for online corrosion monitoring. Three experiments were conducted under various corrosive environment namely NaCl, acetic acid and NaCl mixtures for a total of 1,872 hours. Flow rates for these experiments were kept constant while process variables such as pressure, temperature, flow rates, total dissolved solids and power of hydrogen were measured. Microscopic images of the inlet and outlet of the valve were reviewed to validate corrosion characteristics of the valve body. Ultrasonic transducers were used to collect thickness data on the valve body in one experiment and embedded permanently for 648 hours while thickness measurements were monitored during the second and third experiments. Statistical tools were used to analyze data from thickness measurements. The tools used are normal distribution, probability and regression. The inlet and outlet thickness measurements for the three experiments were not normally distributed as expected. The thickness loss for both inlet and outlet locations where thickness readings were taken on the valve for all three experiment, showed that the thickness losses were nonlinear in nature as expected, although for the 240 hours of run with the ultrasonic transducer embedded on the valve, the outlet readings were very close to linear. Thickness measurements were tested against ambient conditions and valve positions which include, temperature, air pressure, noise, vibration and varying valve position. Apart from a high temperature at 300℉, which had an impact on the ultrasonic thickness readings, air pressure, noise exposure, vibration and changing valve position did not have adverse impacts on the measured thickness. These investigations have proven that, ultrasonic transducers can be embedded on ball valves with carbon steel bodies, to monitor both corrosion rates and total corrosion. These experiments will build the foundation for the next generation of carbon steel ball valves which have ultrasonic technology embedded to monitor corrosion online and in real time

Analgesic activity of crude aqueous extract of the root bark of zanthoxylum xanthoxyloides

Objective: The analgesic activity of crude aqueousextract of the root bark of Zanthoxylum xanthozyloideswas studied in mice and rats with the view to verifyingthe claim in folklore medicine that the extract has analgesicactivity.Method: The extract was obtained by Soxhlet extraction and rotatory evaporation, followed by freezedrying. Groups of rats and mice were, respectively, assigned randomly to treatment groups. The animals received three different treatments orally: 0.9% saline (control), the extract (400mg/kg and 800mg/kg for mice; 1000mg/kg and 2000mg/kg for rats) and indomethacin (5mg/kg and 10mg/kg for mice; 10mg/kg and 20mg/kg for rats). Each group of animals was rotated through the entire treatment groups such that each animal served as control as well as received all the treatments. The hot-plate and paw-pressure methods were used to study pain perception in the treated animals. Analysis of variance was used as the statistical test. Results: In both methods, the extract and indomethacin caused dose-dependent elevation in pain threshold. At the peak of activity, 400mg/kg and 800mg/kg extract caused 74% and 95% increase in the reaction time respectively whilst 5mg/kg and 10mg/kg indomethacin gave 97% and 116% increment respectively. Similarly, 1000mg/kg and 2000mg/kg extract caused 65% and 84% increase in pain threshold whilst 10mg/kg and 20mg/kg indomethacin caused 95% and 113% increment respectively.Conclusion: It was concluded that the extract inducedanalgesia, probably, by inhibiting prostaglandin production,just as did indomethacin

The impact of digital technologies on sustomer experience in experiential tourism

Masteroppgave i International Business and Marketing - Nord universitet 202

FUNCTIONALIZATION OF FLUORINATED SURFACTANT TEMPLATED SILICA

Surfactant templating provides for the synthesis of ordered mesoporous silica and the opportunity to tailor the pore size, pore structure, particle morphology and surface functionality of the silica through the selection of synthesis conditions and surfactant template. This work extends the synthesis of nanostructured silica using fluorinated surfactant templates to the synthesis of organic/inorganic composites. The effect of fluorinated surfactant templates (C6F13C2H4NC5H5Cl, C8F17C2H4NC5H5Cl and C10F21C2H4NC5H5Cl), which have highly hydrophobic fluorocarbon tails, on functional group incorporation, accessibility, and silica textural properties is examined and compared to properties of hydrocarbon surfactant (C16H33N(CH3)3Br, CTAB) templated silica. Hydrocarbon (vinyl, n-decyl and 3-aminopropyl) and fluorocarbon (perfluoro-octyl, perfluorodecyl) functional group incorporation by direct synthesis is demonstrated, and its effects on silica properties are interpreted based on the aggregation behavior with the surfactant templates. Silica materials synthesized with CTAB possess greater pore order than materials synthesized with the fluorocarbon surfactants. The incorporation of the short vinyl chain substantially reduces silica pore size and pore order. However, pore order increases with functionalization for materials synthesized with the fluorinated surfactant having the longest hydrophobic chain. The incorporation of longer chain functional groups (n-decyl, perfluorodecyl, perfluoro-octyl) by direct synthesis results in hexagonal pore structured silica for combinations of hydrocarbon/fluorocarbon surfactant and functional groups. The long chain of these silica precursors, which can be incorporated in the surfactant micelle core, affect the pore size less than vinyl incorporation. Synthesis using the longer chain fluoro-surfactant (C8F17C2H4NC5H5Cl) template in ethanol/water solution results in highest incorporation of both n-decyl and the fluorocarbon functional groups, with a corresponding loss of material order in the fluorinated material. Matching the fluorocarbon surfactant (C6F13C2H4NC5H5Cl) to the perfluoro-octyl precursor did not show improved functional group incorporation. Higher incorporation of the perfluoro-octyl functional group was observed for all surfactant templates, but the perfluoro-decyl silica is a better adsorbent for the separation of hydrocarbon and fluorocarbon tagged anthraquinones. Incorporating a reactive hydrophilic functional group (3-aminopropyl) suggests further applications of the resulting nanoporous silica. Greater amine incorporation is achieved in the CTAB templated silica, which has hexagonal pore structure; the order and surface area decreases for the fluorinated surfactant templated material

Presidential Power in Comparative Perspective: The Puzzling Persistence of Imperial Presidency in Post-Authoritarian Africa

This Article focuses on the comparative dimension of a phenomenon that is already well known to U.S. constitutional discourse: the imperial presidency. While U.S. constitutional scholars have shown a great deal of interest in new constitutional courts in the world\u27s newest democracies, the contemporaneous phenomenon of persistent imperial presidency in Africa has been largely ignored. Although relatively little attention has been paid to it in comparative constitutional discourses, Africa has witnessed since 1990 a dramatic transition to democratic rule that has resulted in the toppling of many of the region\u27s long-reining autocrats and the installation of new counter-authoritarian constitutions. However, following the global trend, Africa\u27s longstanding tradition of imperial presidency has survived recent constitutional changes. Refuting cultural explanations rooted in notions of African exceptionalism, the Article traces the rise of imperial presidency in Africa to authoritarian conceptions and policies of national integration and development embraced by Africa\u27s postcolonial leadership in the founding moments of the 1960s. Examining why the phonomenon of imperial presidency has survived recent constitutional reforms, the Article uncovers omissions and shortcomings in Africa\u27s contemporary constitutional design and democratic project that have enabled the force of path dependency to undermine prospects for constitutionalism. The Article offers some tentative constitutional reform proposals to tame presidential supremacy in Africa and thereby enhance constitutionalism in Africa\u27s emerging democracies

U.S. Foreign Direct Investment in Developing Countries: a Case Study of Malaysia, Mexico and South Africa

There is an upsurge for foreign investment in developing countries. Developing countries that seek foreign investment actually prefer foreign direct investment. The issue of foreign direct investment has become a controversial issue among developing countries. Though this type of investment provides economic growth, employment, and infrastructure development, developing countries may also suffer legal and economic manipulation by the foreign investors at the expense of their countries’ resources. The foreign investment policies of developing countries that seek such foreign direct investment ultimately determine the actions of foreign investors. In many developing countries, foreign investment policies and other investment regulation are catalysts to the desire for economic growth than proponents of such growth. This paper seeks to examine the concept of foreign direct investment in developing countries

Improving value fulfillment in the healthcare industry; The case of mPharma Co..

Applied project submitted to the Department of Business Administration, Ashesi University, in partial fulfillment of Bachelor of Science degree in Business Administration, April 2019mPharma is a group purchasing organization (G.P.O.) with the mission of making prescription drugs easily accessible and affordable for all. The company seeks to provide quality and accessible drugs to users on the African continent. By forming partnerships and relationships with key partners, mPharma is able to cut down costs get quality products right from the manufacturers or key country suppliers. A needs assessment conducted revealed that, a business unit, Mutti, that had a different target segment as compared to their principal business unit is in need of an efficient way of delivering products and services very well to clients in other to increase value and increase their customer base of a hundreds. Literature reviews studied showed that, client provision and access to products and services were critical factors that benefited the customer base of a company. Other models used by global companies that related to this area were explored as well. And the end of this study, the writer proposes a solution to address value delivery in Mutti. The solution sought to increase value fulfillment and product delivery. By employing a solution framework prior to implementing the solution, the writer hopes to eliminate redundant processes in Mutti. The solution seeks to improve value fulfillment once certain conditions and recommendations are followed.Ashesi Universit