scholarly journals Contiguous Function Relations for k-Hypergeometric Functions

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Shahid Mubeen ◽  
Gauhar Rahman ◽  
Abdur Rehman ◽  
Mammona Naz

In this research work, our aim is to determine the contiguous function relations for k-hypergeometric functions with one parameter corresponding to Gauss fifteen contiguous function relations for hypergeometric functions and also obtain contiguous function relations for two parameters. Throughout in this research paper, we find out the contiguous function relations for both the cases in terms of a new parameter k>0. Obviously if k→1, then the contiguous function relations for k-hypergeometric functions are Gauss contiguous function relations.

1955 ◽  
Vol 22 (4) ◽  
pp. 503-508
Author(s):  
Chieh-Chien Chang ◽  
Wen-Hwa Chu

Abstract The failure of a compressor is sometimes due to flutter of the blades. Essentially, this problem is equivalent to a cascade in oscillation. The present analysis is to find the aerodynamic load on cascade in synchronized harmonic oscillations, pitching, and flapping. Conformal mapping is used. Two characteristic parameters are involved in the force and moment. One is μ which is related to the gap-chord ratio. The other is k which is known as reduced frequency. The main results are expressed in terms of these two parameters. Most can be reduced to closed form. The rest are given in graphs. The wake interference involves one new function C(μ,k) which is related to a ratio of two hypergeometric functions and which reduces to Theodorsen’s function C(k) in the limit of infinite gap. In a certain range of frequency and gap-chord ratio, the analysis shows quantitatively that single-oscillation airfoil theory may lead to inaccurate estimation of interference effect between blades.


2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Joel Harry Clavijo Suntura

Purpose The purpose of this paper is to analyze the obligation of regulated entities to detect unusual and suspicious transactions and to report them to external control bodies, as established by the Financial Action Task Force (FATF) recommendations, the European Community Directive and also the Spanish regulations for the Prevention of Money Laundering. This research paper also aims to create a model to identify and report suspicious transactions to improve financial institutions’ current procedures. Design/methodology/approach According to the Spanish regulations which comply with the FATF recommendations and the European Community Directive on the Prevention of Money Laundering, regulated entities must detect unusual and suspicious transactions. Within this framework, the present research work analyzes both criteria and procedures used by the regulated entities to report suspicious operations. It also assesses the efficiency of the reports sent to an external control body. For this purpose, both analytical and interpretative methods are used in this research paper. Findings In Spain, the current procedures followed by regulated entities to analyze unusual transactions are complex. This results in difficulties to report suspicious transactions involving money laundering. As a consequence, the cases of suspicious transactions reported to the external control body are often unclear and the related process is inefficient. Originality/value The creation of a harmonized model with the aim of detecting suspicious operations and analyzing them will improve the detection and the effectiveness of the suspicious operations procedure which are reported to the external control body. However, such unified model should take into account the currently used activities proposed by each financial institution.


1952 ◽  
Vol 19 (3) ◽  
pp. 263-266
Author(s):  
Ti-Chiang Lee

Abstract This paper presents an analytic solution of the stresses in a rotating disk of variable thickness. By introducing two parameters, the profile of the disk is assumed to vary exponentially with any power of the radial distance from the center of the disk. In some respects this solution may be considered as a generalization of Malkin’s solution, but it differs essentially from the latter in the method of solution. Here, the stresses are solved through a stress function instead of being solved directly. The required stress function is expressed in terms of confluent hypergeometric functions. Numerical examples are also shown for illustration.


Author(s):  
Gabriel Margalida ◽  
Pierric Joseph ◽  
Olivier Roussette ◽  
Antoine Dazin

The present paper aims at evaluating the surveillance parameters used for early stall warning in axial compressors, and is based on unsteady pressure measurements at the casing of a single stage axial compressor. Two parameters—Correlation and Root Mean Square (RMS)—are first compared and their relative performances discussed. The influence of sensor locations (in both radial and axial directions) is then considered, and the role of the compressor’s geometrical irregularities in the behavior of the indicators is clearly highlighted. The influence of the throttling process is also carefully analyzed. This aspect of the experiment’s process appears to have a non-negligible impact on the stall warning parameters, despite being poorly documented in the literature. This last part of this research work allow us to get a different vision of the alert parameters compared to what is classically done in the literature, as the level of irregularity that is reflected by the magnitude of the parameters appears to be an image of a given flow rate value, and not a clear indicator of the stall inception.


1983 ◽  
Vol 4 ◽  
pp. 180-187 ◽  
Author(s):  
B. Michel ◽  
D. Blanchet

The problem of a floating ice sheet hitting a structure with a vertical face appears to be a simple one but, in fact, has only been solved for a limited number of cases. Research work on this question usually reports on an indentation coefficient which relates the average pressure on the indenter to the uniaxial crushing strength of the ice. Very few tests have been made in the brittle range of ice failure. In this particular area of study, this paper reports on 27 tests that were conducted in a cold-room water basin where controlled S2floating ice sheets were produced with a surface area of 4 × 4 m, three sides being fully restrained and the other, freely float! no, being submitted to the impact of the moving indenter. All tests were carried out at computed indentation rates varying from 0.017 to 0.34 s-1. In this range this ice would normally be considered to act as a brittle material. The thickness of the ice sheets varied from 1.2 to 9.0 cm and the indenter width from 5 cm to 1 m. Overall, the aspect ratio relating these two parameters could be varied from 0.5 to 83.Results have shown that for aspect ratios <5, there was an important oscillatory effect which caused the formation of pi asti fi ed triangles in front of the indenter, increasing its resistance as it would under ductile conditions. Because of this plastification, an extrusion effect appeared in front of the indenter as the broken ice crystals were blown up and down in front of the fast-moving indenter. The theory of plasticity which gives an indentation coefficient of 2.97 seems to apply in this case. Another mode of failure which occurred with aspect ratios 5 was cleavage in the plane of the ice sheet which also gives a higher indentation coefficient for S2ice, but of the same order of magnitude as previously.For intermediate values of the aspect ratio, between 5 and 20, the theory of elasticity used by Michel (1978) seems to apply well. Shear cracks are first formed on both sides of the square indenter and control the maximum pressure when they propagate inside forming big triangles in front of it.Finally, for aspect ratios ~>20, buckling of the ice occurs, either after or at the same time as the formation of wedges, together with a reduction in the indentation coefficient to a value close to that given by the theory of buckling of a truncated 45° wedge with a hinged edge.


2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Karan Aggarwal ◽  
Manjit Singh Bhamrah ◽  
Hardeep Singh Ryait

Abstract Cirrhosis is a liver disease that is considered to be among the most common diseases in healthcare. Due to its non-invasive nature, ultrasound (US) imaging is a widely accepted technology for the diagnosis of this disease. This research work proposed a method for discriminating the cirrhotic liver from normal liver through US images. The liver US images were obtained from the radiologist. The radiologist also specified the region of interest (ROI) from these images, and then the proposed method was applied to it. Two parameters were extracted from the US images through differences in intensity of neighboring pixels. Then, these parameters can be used to train a classifier by which cirrhotic region of test patient can be detected. A 2-D array was created by the difference in intensity of the neighboring pixels. From this array, two parameters were calculated. The decision was taken by checking these parameters. The validation of the proposed tool was done on 80 images of cirrhotic and 30 images of normal liver, and classification accuracy of 98.18% was achieved. The result was also verified by the radiologist. The results verified its possibility and applicability for high-performance cirrhotic liver discrimination.


In the present research work, the researcher tried to study the consequence of financial inclusion on social empowerment. The social empowerment is one of the essential indicators of human development. The social empowerment is achieved through its different parameter. The researcher made an attempt to analyze the relevance of financial inclusion in the context of social empowerment. For this purpose, researcher selected the sample size of 400 households both equally from rural and urban part of Nanded district. It is observed that there is significant difference in the level of social empowerment in rural and urban part of Nanded district. The findings, conclusions and suggestions are presented at the end of research paper


2013 ◽  
Vol 3 (2) ◽  
pp. 90-91
Author(s):  
Abha Khetarpal

This invited commentary discusses the research paper on Assistive Computing Technology for Enabling Differently Abled Population in India - A User Driven Intervention by Indrajit Bhattacharya, Anandhi Ramachandran, Nekram Upadhyay and Megha Sharma. The author expands the significance of the role of Assistive Computing Technology in enhancing the quality of life of the people with disabilities. The author lauds the research work and conclusions drawn from it and suggests how its applicability can be increased in the system.


1983 ◽  
Vol 4 ◽  
pp. 180-187 ◽  
Author(s):  
B. Michel ◽  
D. Blanchet

The problem of a floating ice sheet hitting a structure with a vertical face appears to be a simple one but, in fact, has only been solved for a limited number of cases. Research work on this question usually reports on an indentation coefficient which relates the average pressure on the indenter to the uniaxial crushing strength of the ice. Very few tests have been made in the brittle range of ice failure. In this particular area of study, this paper reports on 27 tests that were conducted in a cold-room water basin where controlled S2 floating ice sheets were produced with a surface area of 4 × 4 m, three sides being fully restrained and the other, freely float! no, being submitted to the impact of the moving indenter. All tests were carried out at computed indentation rates varying from 0.017 to 0.34 s-1. In this range this ice would normally be considered to act as a brittle material. The thickness of the ice sheets varied from 1.2 to 9.0 cm and the indenter width from 5 cm to 1 m. Overall, the aspect ratio relating these two parameters could be varied from 0.5 to 83.Results have shown that for aspect ratios <5, there was an important oscillatory effect which caused the formation of pi asti fi ed triangles in front of the indenter, increasing its resistance as it would under ductile conditions. Because of this plastification, an extrusion effect appeared in front of the indenter as the broken ice crystals were blown up and down in front of the fast-moving indenter. The theory of plasticity which gives an indentation coefficient of 2.97 seems to apply in this case. Another mode of failure which occurred with aspect ratios 5 was cleavage in the plane of the ice sheet which also gives a higher indentation coefficient for S2 ice, but of the same order of magnitude as previously.For intermediate values of the aspect ratio, between 5 and 20, the theory of elasticity used by Michel (1978) seems to apply well. Shear cracks are first formed on both sides of the square indenter and control the maximum pressure when they propagate inside forming big triangles in front of it.Finally, for aspect ratios ~>20, buckling of the ice occurs, either after or at the same time as the formation of wedges, together with a reduction in the indentation coefficient to a value close to that given by the theory of buckling of a truncated 45° wedge with a hinged edge.


2020 ◽  
Vol 15 ◽  
pp. 155892502097331
Author(s):  
GLD Wickramasinghe ◽  
Sameera Umesh Dolawatte ◽  
Isuru Udayanga Thebuwana ◽  
WWS Sampath Botheju

The objective of this research work was to investigate the effect of intermingling process parameters on melange fabric appearance. Results show that the polyester overfeed, nylon overfeed, air pressure, and production speed have significant correlation with melange fabric appearance. Polyester yarn tension and nylon yarn tensions do not show significant effect on melange fabric appearance. Melange appearance varies from stripe to uniform distribution when polyester and nylon overfeeds are increased independently as well as collectively. Therefore, it can be concluded that polyester and nylon overfeed can be used to achieve specific melange appearance as per the customer samples. Optimum air pressure and production speed to be determined during sample development stage since those two parameters are directly link to the production cost; and should be maintained as a constant and controlled during production, since any variation of those two parameters will change appearance of the melange fabrics.


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