Primjena integro-diferencijalne varijacijske razlomne zadaće i razlomnog pristupa integralima po putevima stohastičkom modeliranju

The fractional path integral approach is applied to stochastic models, in particular the financial derivatives and options pricing formulated within the framework of the fractional action-like variational approach recently introduced by the author. Many interesting features and consequences are revealed in some details.Proučavaju se stohastički modeli primjenom integrala po putevima, a posebno se razlažu novčane izvodnice i mogućnosti u određivanju cijena u okviru razlomnog djelotvornog varijacijskog pristupa nedavno uvedenog autorom. Mnoge se zanimljive odlike i posljedice otkrivaju djelomično

Primjena integro-diferencijalne varijacijske razlomne zadaće i razlomnog pristupa integralima po putevima stohastičkom modeliranju

The fractional path integral approach is applied to stochastic models, in particular the financial derivatives and options pricing formulated within the framework of the fractional action-like variational approach recently introduced by the author. Many interesting features and consequences are revealed in some details.Proučavaju se stohastički modeli primjenom integrala po putevima, a posebno se razlažu novčane izvodnice i mogućnosti u određivanju cijena u okviru razlomnog djelotvornog varijacijskog pristupa nedavno uvedenog autorom. Mnoge se zanimljive odlike i posljedice otkrivaju djelomično

Fractal universe and quantum gravity

We propose a field theory which lives in fractal spacetime and is argued to be Lorentz invariant, power-counting renormalizable, ultraviolet finite, and causal. The system flows from an ultraviolet fixed point, where spacetime has Hausdorff dimension 2, to an infrared limit coinciding with a standard four-dimensional field theory. Classically, the fractal world where fields live exchanges energy momentum with the bulk with integer topological dimension. However, the total energy momentum is conserved. We consider the dynamics and the propagator of a scalar field. Implications for quantum gravity, cosmology, and the cosmological constant are discussed.Comment: 4 pages. v2: typos corrected; v3: discussion improved, intuitive introduction added, matches the published versio

Adaptive gender-based thermal control system

A closed loop adaptive gender-based thermal control system (AG-TCS) is designed, modelled, analysed and tested. The system has the unique feature of adapting to the surrounding environment as a function of the number of humans present and the gender ratio. The operation of the system depends on a unique interface between a radio frequency identification (RFID) device and an imaging device, both of which are correlated and interfaced to a controller. Testing of the system resulted in smooth transition and shape conversion of the response curve, which proved its adaptability. Three mathematical equations describing the internal mechanisms of the AG-TCS are presented and have been proven to optimally reflect the original statistical data covering both genders

Management Environment and its Impact on the Efficiency of Purchasing and Operating the Technology

Technology topic gained very large importance in the second half of the previous century; in the majority of countries, and this importance is increasing dramatically due to the hopes that nations put on this technology and the promising benefits from using it in the advancement and development of different areas. This isn't only interest the developed countries, but also it was extended to include the non-developed countries, which is trying hard to get rid of the backwardness that suffers and seeks to achieve the development, advancement, and progress through the use of technology, after several aid programs failed to achieve what was expected from them. It showed clearly that gap is expanding between the developed countries and the non-developed, which prompted the latter to work hard in order to get rid of the dependency that developed countries impose on it, by attempting to focus on the technology purchase process, its advance operation, and use it in the different development programs, benefit from it, and disseminate it. But as far as Jordan concern, which considers one of the non-developed countries, the leadership in it gave a special importance to the science and technology over the last 50 years, when the first Jordanian University was established in Amman at the start of the second half of the last century, and now their numbers exceed thirty-one universities that work on graduating scientific professions. This makes Jordan differ from the other non-developed countries, add to that Jordan became one of the countries that export high-level scientific professions to the Gulf, USA, and European countries. However, at the present time, this society doesn't provide adequate technological support for the development process, and this study aims to address the following topics: First: study methodological framework. Second: the concept and importance of technology. Third: the general goal for purchasing and operating technology. Fourth: the strategies for purchasing and operating technology in Jordan. Fifth: the various environmental factors that influence the decision of purchasing and operating technology. Sixth: the contributors to decision rationalization of purchasing and operating technology. Seventh: the field study. Keyword: Management environment, purchasing, operating, technology, reflection, decisions, strategies, goals, concepts, methodological framework, contributors. DOI: 10.7176/IKM/9-6-07 Publication date:July 31st 201

Control of the irrigation water resources of the Al-Hasa oasis

This thesis describes the present situation of the Al-Hasa oasis, which is critically dependent on a single over-used water resource. Evidence is presented to show that water usage is inefficient, and that real improvements are possible, but only if the local farmers are provided with the means of determining the soil moisture levels of their fields. Simple tensiometers and soil moisture cells are considered for this purpose and both would be effective. Soil moisture cells are likely to be the better choice, but more work is needed to evaluate their response to saline soil moisture conditions. The thesis shows that the widely used pressure plate (for laboratory evaluations) is less accurate than is the simpler filter paper system. Such laboratory determinations will be needed to ensure that the chosen field instruments are as accurate as is wanted. An interesting, and still incompletely understood, phenomenon is that the soil grain sizes do affect the accuracy of results from the chosen field instruments. More work is planned on this subject. A crucial factor also affecting the long term security of the oasis is to improve near surface drainage and evidence is presented that details the adverse effects of the present inadequate drainage system. In view of the vast financial investment already made into the drainage of the oasis, improvements that allow a better drainage of each individual field are seen as sensible. Evaluations of more modern soil moisture measuring equipment (transducer and psychrometer systems) reveal that these are inappropriate for use at Al-Hasa. The emphasis of the thesis is on the positive contribution to water use efficiency that can be achieved by the individual farmer. If the thesis conclusions are accepted then the continued prosperity of Al-Hasa can be assured at a very small cost

Multi-band D-TRILEX approach to materials with strong electronic correlations

We present the multi-band dual triply irreducible local expansion (D-TRILEX) approach to interacting electronic systems and discuss its numerical implementation. This method is designed for a self-consistent description of multi-orbital systems that can also have several atoms in the unit cell. The current implementation of the D-TRILEX approach is able to account for the frequency- and channel-dependent long-ranged electronic interactions. We show that our method is accurate when applied to small multi-band systems such as the Hubbard-Kanamori dimer. Calculations for the extended Hubbard, the two-orbital Hubbard-Kanamori, and the bilayer Hubbard models are also discussed

Effect of vitamin D replacement on maternal and neonatal outcomes: a randomised controlled trial in pregnant women with hypovitaminosis D. A protocol

Introduction: The vitamin D recommended doses during pregnancy differ between societies. The WHO guidelines do not recommend routine prenatal supplementation, but they underscore the fact that women with the lowest levels may benefit most. The effects of routine supplementation during pregnancy on maternal and neonatal clinical outcomes have not been investigated in the Middle East, where hypovitaminosis D is prevalent. Our hypothesis is that in Middle Eastern pregnant women, a vitamin D dose of 3000?IU/day is required to reach a desirable maternal 25-hydroxyvitamin D [25(OH)D] level, and to positively impact infant bone mineral content (BMC).Methods and analysis: This is a multicentre blinded randomised controlled trial. Pregnant women presenting to the Obstetrics and Gynaecology clinics will be approached. Eligible women will be randomised to daily equivalent doses of cholecalciferol, 600?IU or 3000?IU, from 15 to 18?weeks gestation until delivery. Maternal 25(OH)D and chemistries will be assessed at study entry, during the third trimester and at delivery. Neonatal anthropometric variables and 25(OH)D level will be measured at birth, and bone and fat mass assessment by dual-energy X-ray absorptiometry scan at 1?month. A sample size of 280 pregnant women is needed to demonstrate a statistically significant difference in the proportion of women reaching a 25(OH)D level ?50?nmol/L at delivery, and a difference in infant BMC of 6 (10)g, for a 90% power and a 2.5% level of significance. The proportions of women achieving a target 25(OH)D level will be compared between the two arms, using ?2. An independent t test will be used to compare mean infant BMC between the two arms. The primary analysis is an intention-to-treat analysis of unadjusted results.Ethics and dissemination: The protocol has been approved by the Institutional Review Board at the American University of Beirut-Lebanon (IM.GEHF.22). The trial results will be published in peer-reviewed medical journals and presented at scientific conferences.Trial registration number: NCT02434380.<br/

Fractional Action Cosmology with Power Law Weight Function

Motivated by an earlier work on fractional-action cosmology with a periodic weight function [1], we extend it by choosing a power-law weight function in the action. In this approach, we obtain a varying gravitational coupling constant. We then model dark energy in this paradigm and obtain relevant cosmological parameters.Comment: 12 pages, 9 figures, Contributed talk published in the proceedings of "3rd Italian-Pakistani Workshop on Relativistic Astrophysics

Amended criteria of oscillation for nonlinear functional dynamic equations of second-order

In this paper, the sharp Hille-type oscillation criteria are proposed for a class of secondorder nonlinear functional dynamic equations on an arbitrary time scale, by using the technique of Riccati transformation and integral averaging method. The obtained results demonstrate an improvement in Hille-type compared with the results reported in the literature. Some examples are provided to illustrate the significance of the obtained results. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.The authors would like to thank anonymous referees for their careful reading of the entire manuscript, which helped significantly improve this paper’s quality. This work was supported by Research Deanship of Hail University under grant No. 0150396