On a Generalization of a Theorem due to Larcombe on the Sum of a 3F2 Series

MSC 2010: 33C2

Image findings of cranial nerve pathology on [18F]-2- deoxy-D-glucose (FDG) positron emission tomography with computerized tomography (PET/CT): a pictorial essay.

This article aims to increase awareness about the utility of (18)F -FDG-PET/CT in the evaluation of cranial nerve (CN) pathology. We discuss the clinical implication of detecting perineural tumor spread, emphasize the primary and secondary (18)F -FDG-PET/CT findings of CN pathology, and illustrate the individual (18)F -FDG-PET/CT CN anatomy and pathology of 11 of the 12 CNs

Hydrogeology and Hydrochemistry of The Delta Wadi El-Arish Area Sinai Peninsula, Egypt

Delta Wadi El-Arish, Sinai Peninsula, Egypt, forms one of the most important parts of Egypt for industrial and agricultural expansion projects. This study focuses on the hydrogeology and the hydrochemistry of the Quaternary aquifer in the delta Wadi El-Arish area. Accurate information about the groundwater characteristics of the Quaternary aquifer will allow implementation of a sound water management policy for the Wadi El-Arish area. The objectives of this study include: 1) determining the relationships between groundwater extraction and water levels and water quality using water-level measurements, total extraction of the wells, and chemical analyses of water samples; 2) determining the direction of groundwater flow using water-level measurements; 3) calculating the hydraulic parameters of the Quaternary aquifer using pumping test data; and 4) determining the hydrochemical characteristics of groundwater in the Quaternary aquifer. The results of this study indicate that: 1. Potentiometric surface elevations have decreased by an average of about 0.5 m. 2. Potentiometric surface elevations have decreased in response to an increase in extraction rates. 3. The transmissivity of the lower Pleistocene calcareous sandstone (kurkar) unit is higher than the transmissivity of the upper Pleistocene sand and gravel alluvial deposits. 4. Groundwater in the upper Pleistocene sand and gravel aquifer is augmented with groundwater leaking from the overlying Holocene sand deposits through the intervening sandy clay aquitard. 5. Total dissolved solids (TDS) concentrations have been increased by an average of about 1,500 ppm. 6. An increase in sea water intrusion in the northern part of the study area has occurred. 7. Groundwater in the calcareous sandstone kurkar is of lower quality than groundwater in the alluvium sand and gravel. Management of the groundwater resources should include the following recommendations: 1. No new pumping wells should be drilled in the area. 2. Accurate estimates for the total recharge should be determined using a more detailed water budget for the delta Wadi El-Arish area. 4. The operation of wells should be managed by an automatic control system

Comments on "New hypergeometric identities arising from Gauss’s second summation theorem"

In 1997, Exton [J. Comput. Appl. Math. 88 (1997) 269–274] obtained a general transfor- mation involving hypergeometric functions by elementary manipulation of series. A number of hypergeometric identities not previously recorded in the literature were then deduced by application of Gauss’ second summation theorem and other known hypergeometric summa- tion theorems. However, many of the results stated by Exton contain errors. It is the purpose of this note to present the corrected forms of these hypergeometric identities

Big Data Analytics Impact Transformation

The study aimed at evaluating the applications of big data analytics in enhancing the transformation of the global economy. The sample for this study consisted of consultants who are familiar with big data and transformation in marketing. A total of 396 consultants were sent the study questionnaire to participate in the online survey, of which 118 participants commenced the survey. Companies need such input because only half of them create business events and only a quarter calculate key performance indicators such as profitability. One can only wonder whether there is in fact a wide demand for this classification. From a realistic point of view, it may not matter whether the change is radical or transformative, the real impact is more important. Furthermore, the anticipated increase in post-purchase boost is in line with previous studies which mention that companies can offer precise customer service using the new interface. Findings are not astounding as we see such modifications taking place. The popularity of mobile and social applications facilitates customers to access product and service information in a variety of ways when needed, which further augments their product and service awareness. This study shows increased expectations for the use of automation and self-service communication between institutions and customers. The results assured that businesses need such input to be a starting point for firms to verify their business issues

On the contiguous relations of hypergeometric series

AbstractContiguous relations are a fundamental concept within the theory of hypergeometric series and orthogonal polynomials. Their study goes back to Gauss who gave a list of 15 “fundamental” relations for the F12 hypergeometric series. In this paper we will prove some consequences of contiguous relations of F12

What determines Venture Capital investment decisions? Evidence from the emerging VC market in Egypt

The decision of a venture capitalist to commit capital in a new risky business is a complex decision. Investors need to consider a number of important criteria simultaneously. Based on the postulates of signaling theory and the investment criteria outlined in the extant literature, we propose a theoretical framework to describe the relationship between a new venture’s characteristics and the funding decision. The proposed framework is tested using actual data of a unique sample of 200 new Egyptian technological startups. The startups were tracked from establishment until applying to a venture capitalist and a decision was made either to accept or to reject them. Logistic regression analysis reveals that venture capitalists prefer to invest in startups with mature products and an initial proof of financial performance. The entrepreneurs’ industry experience and the size of their social networks are important factors that affect the startup’s access to finance. Using decision tree analysis to map venture capitalists’ decisions, we show that the time of applying for funds is critical and serves as a gateway for further evaluation. Startups are more likely rejected for applying later into the VC fund than for lack of experience or unproved products. This suggests that the development of the Egyptian tech ecosystem may be hugely constrained by the limited availability of capital as well as the high aversion to risk on the behalf of venture capitalists