scholarly journals ON PROBABILTY DISTRIBUTION IN ASSOCIATION WITH A CERTAIN GENERALIZED HYPERGEOMETRIC FUNCTION

2015 ◽  
Vol 14 (3) ◽  
pp. 5569-5577
Author(s):  
Yashwant Singh ◽  
Nanda Kulkarni
Keyword(s):  
Density Function ◽  
Probability Function ◽  
Special Function ◽  
Special Functions ◽  
Density Functions ◽  
Chi Square ◽  
Recurrence Relationship ◽  
Special Cases ◽  
Almost All ◽  
Special Case

In the present paper, a probability function has been introduced in terms of the -function and its properties are studied. It is shown that the classical non-central distributions such as, non-central chi-square, non-central Student- , non-central and almost all classical central continuous distributions can be obtained as special cases of this general density function. This general density function is introduced with the hope that any density function, which can be represented in terms of any known special function as well as the density of the ratio of any two independent stochastic variables whose density functions can be represented in terms of any known special functions, is contained in as a special case. The properties of , discussed in this paper, include the characteristic function, moments, recurrence relationship among moments and the distribution function.

scholarly journals A Quadruple Definite Integral Expressed in Terms of the Lerch Function

Symmetry ◽  
2021 ◽  
Vol 13 (9) ◽  
pp. 1638
Author(s):  
Robert Reynolds ◽  
Allan Stauffer
Keyword(s):  
Special Functions ◽  
Definite Integral ◽  
Polynomial Functions ◽  
Fundamental Constants ◽  
Zero Distribution ◽  
Special Cases ◽  
Almost All

A quadruple integral involving the logarithmic, exponential and polynomial functions is derived in terms of the Lerch function. Special cases of this integral are evaluated in terms of special functions and fundamental constants. Almost all Lerch functions have an asymmetrical zero-distribution. The majority of the results in this work are new.

A General Theory for Analysis of Catch and Effort Data

1985 ◽  
Vol 42 (3) ◽  
pp. 414-429 ◽  
Author(s):  
Jon Schnute
Keyword(s):  
General Theory ◽  
Model Identification ◽  
Identification Problem ◽  
Mathematical Proofs ◽  
Structured Population ◽  
Analysis Technique ◽  
Special Cases ◽  
Age Structured ◽  
Almost All ◽  
Special Case

This paper presents a general theory for analysis of catch and effort data from a fishery. Almost all previous methods are shown to be special cases, including those of Schaefer, Pella and Tomlinson, Schnute, and Deriso, as well as the stock reduction analysis technique of Kimura and Tagart and Kimura, Balsiger, and Ito. Like that of Deriso, the theory here is based on natural equations for an age structured population. However, instead of a fixed single model, this paper gives a general model that can be tailored to any particular fishery. The problem of determining the appropriate special case is conceptually identical to the model identification problem described by Box and Jenkins in the context of time series analysis, Identification necessarily begins with a suitable class of models. This paper defines such a class, unique to fisheries, complete with mathematical proofs and biological explanations of all important equations.

Nonwovens: Global Trends in World Economy, European Foreign Trade, and Selected Case Studies from Poland and Asian Brics Countries

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Zofia Wysokińska ◽  
Tomasz Czajkowski ◽  
Katarzyna Grabowska
Keyword(s):  
Case Studies ◽  
World Economy ◽  
World Market ◽  
Global Trends ◽  
Textile Materials ◽  
Brics Countries ◽  
Recent Trends ◽  
Almost All ◽  
Special Case

AbstractNonwovens are one of the most versatile textile materials and have become increasingly popular in almost all sectors of the economy due to their low manufacturing costs and unique properties. In the next few years, the world market of nonwovens is predicted to grow by 7%–8% annually (International Nonwovens & Disposables Association [INDA], European Disposables and Nonwovens Association [EDANA], and Markets and Markets). This article aims to analyze the most recent trends in the global export and import of nonwovens, to present two case studies of Polish companies that produce them, and to present one special case study of the market of nonwoven geotextiles in China and India, which are the Asian transition economies among the BRICS countries (Brazil, Russia, India, China, and South Africa).

Relationship of Workload and Double Role With Work Fatigue on Batik Craftsmen

2019 ◽  
Vol 4 (2) ◽  
pp. 293
Author(s):  
Herdianti Herdianti ◽  
Tatik Maryana
Keyword(s):  
Data Analysis ◽  
Quantitative Research ◽  
Sampling Technique ◽  
Work Load ◽  
Dual Role ◽  
P Value ◽  
Chi Square ◽  
Cross Sectional ◽  
Chi Square Test ◽  
Almost All

<p><em><em>Background: In Batik Mawar, almost all work is done manually using the hands and upper arms on a continuous basis combined with the rigor of work and the use of traditional tools. The work has a heavy workload because all the work process is done by the same craftsman causing fatigue besides that the worker also have double role. The purpose of this study is to determine the relationship between workload and dual role with feelings of fatigue on craftsmen batik roses.Method: This research is Quantitative research with Cross Sectional research design. The population in this study are all artisans in Batik Mawar. Sampling in this study using total sampling technique with the number of research samples as many as 40 respondents. Data analysis used by Univariat and Bivariat.Result: Result of data analysis using Chi-Square test for work load got value p-Value = 0,001. The result of data analysis using Chi-square test for double role got p-value = 0,031. Thus it is concluded that there is a meaningful relationship between workload and dual role with feeling tired. We recommend that craftsmen wash clothes 2 times a day, cook ready meals, other than together in completing the work at home</em></em></p><p><em><br /></em></p><p><em>Di Batik Mawar, hampir semua pekerjaan dikerjakan secara manual menggunakan tangan dan lengan atas secara berkesinambungan yang dikombinasi dengan ketelitian kerja dan penggunaan alat-alat tradisional. Pekerjaan mempunyai beban kerja yang berat dikarenakan semua proses kerja dilakukan oleh pengrajin yang sama sehingga menimbulkan kelelahan</em><em> disamping itu pekerjanya juga memiliki peran ganda</em><em>.</em><em> Tujuan penelitian ini adalah untuk mengetahui hubungan beban kerja dan peran ganda dengan perasaan lelah pada pengrajin batik mawar.Metode: </em><em>Penelitian ini merupakan penelitian Kuantitatif dengan desain penelitian Cross Sectional. Populasi dalam penelitian ini adalah semua pengrajin di Batik Mawar. Pengambilan sampel pada penelitian ini menggunakan teknik total sampling dengan jumlah sampel penelitian sebanyak 40 responden. Analisis data yang digunakan Univariat dan Bivariat.</em><em>Hasil: </em><em>Hasil analisis data yang menggunakan uji Chi-Square untuk beban kerja didapatkan nilai p-Value = 0,001. Hasil analisis data yang menggunakan uji Chi-square untuk peran ganda didapatkan nilai p-value= 0,031. Dengan demikian  disimpulkan bahwa ada hubungan yang bermakna antara beban kerja dan peran ganda dengan perasaan lelah.Sebaiknya pengrajin mencuci pakaian 2 kali sehari, memasak makanan siap saji, selain itu dengan cara bersama-sama dalam menyelesaikan pekerjaan dirumah.</em><em></em></p><strong><em></em></strong>

Some analyses on the control of queues using level crossings of regenerative processes

1980 ◽  
Vol 17 (3) ◽  
pp. 814-821 ◽  
Author(s):  
J. G. Shanthikumar
Keyword(s):  
Waiting Time ◽  
Time Distribution ◽  
Queueing Systems ◽  
Density Functions ◽  
Waiting Time Distribution ◽  
Regenerative Processes ◽  
Stieltjes Transform ◽  
Expected Number ◽  
Control Of Queues ◽  
Special Case

Some properties of the number of up- and downcrossings over level u, in a special case of regenerative processes are discussed. Two basic relations between the density functions and the expected number of upcrossings of this process are derived. Using these reults, two examples of controlled M/G/1 queueing systems are solved. Simple relations are derived for the waiting time distribution conditioned on the phase of control encountered by an arriving customer. The Laplace-Stieltjes transform of the distribution function of the waiting time of an arbitrary customer is also derived for each of these two examples.

Dentists’ knowledge of fluoride cariostatic mechanisms

2018 ◽  
Vol 23 (3) ◽  
Author(s):  
Urszula Kaczmarek ◽  
Wojciech Kowalczyk ◽  
Dariusz Gozdowski ◽  
Dorota Olczak-Kowalczyk
Keyword(s):  
Rank Correlation ◽  
Bone Fragility ◽  
Caries Prevention ◽  
Water Fluoridation ◽  
Chi Square ◽  
Significance Level ◽  
Spearman’S Rank Correlation ◽  
Spearman’S Rank Correlation Coefficient ◽  
Chi Square Test ◽  
Almost All

Introduction. The use of age- and risk-adjusted caries prevention requires up-to-date knowledge on the cariostatic effects of fluoride, as well as the methods and safety of fluoride prophylaxis. Aim. The aim of the study was to assess dentists’ knowledge of the safety and mechanism of anticaries effects of fluoride. Material and methods. An anonymous questionnaire was conducted among 212 dentists participating in dental training. The questions included in the questionnaire related to knowledge about water fluoridation, fluoride cariostatic mechanisms and the safety of fluoride prophylaxis. The chi-square test and the Spearman’s rank correlation coefficient were used for statistical analysis. A significance level of 0.05 was used. Results. Incorrect knowledge about water fluoridation was demonstrated by 26.9% of respondents in the country and 16.0% of respondents in Europe. Most respondents (80.7%) reported higher efficacy of exogenous vs endogenous anticaries approaches, and more than half of respondents (59.0%) considered the processes of remineralisation and demineralisation as the most important anticaries activity. Almost all respondents (95.7%) agreed that the use of fluoride for caries prevention is controversial, mainly due to its dose-dependent therapeutic or toxic effects (85.4%). According to about 20% of respondents, cariostatic fluoride doses have adverse effects on the general health, mainly in the form of bone fragility (10.4%). Conclusions. Lack of correct knowledge about the dominant cariostatic effects of fluoride may result in the choice of an inappropriate preventive method or avoiding local application of fluoride preparations for fear of adverse systemic effects, which may in turn lead to increased caries prevalence in a given population.

CUSTOMERS’ PREFERENCE FOR E – BANKING SERVICES: A CASE STUDY OF SELECTED BANKS IN SIERRA LEONE

2011 ◽  
Vol 01 (04) ◽  
pp. 108-116
Author(s):  
R. A. GBADEYAN ◽  
O. O. AKINYOSOYE GBONDA
Keyword(s):  
Sierra Leone ◽  
Software Verification ◽  
Banking Industry ◽  
Online Banking ◽  
Chi Square ◽  
Frequent Change ◽  
Banking Services ◽  
Chi Square Analysis ◽  
Almost All

The development and the increasing progress that is being experienced in the Information and Communication Technology have brought about a lot of changes in almost all facets of life. In the Banking Industry, it has been in the form of online banking, which is now replacing the traditional banking practice. Online banking has a lot of benefits which add value to customers’ satisfaction in terms of better quality of service offerings and at the same time enable the banks gain more competitive advantage over other competitors. There are some associated risks identified in the study that seem to hinder the success of e-banking services and thus constitute major concern to both financial institutions and customers. This paper therefore, examines, if customers’ choice of banks is influenced by the quality of e–banking services provided. Stratified sampling was used; while the survey Instrument was a developed Questionnaire comprising open ended and Likert type of questions. The Likert type questions have a 4 point scale (indicating 1 = very comfortable and 4 = uncomfortable) divided into two (2) sections: personal details and customers’ e-banking preference in Sierra Leone. The instrument contained 36 items and was administered to about 400 respondents, while 360 completed and returned their Questionnaire. The statistical techniques used for the analysis were the Chi–Square and correlation. The Chi–Square analysis revealed that the quality of e–banking services offered by banks have significant influence on their customers at 95%, 3 degree of freedom. The paper recommends that various measures should be put in place to ensure more security such as installation of encrypted software, verification system of customer’s identification cards, frequent change of password, examining test questions and using mixed password such as the use of alphanumeric amongst others. The paper concludes that e –banking has become important phenomenon in the banking industry and it will continue as more progress and innovations are made in information technology.

scholarly journals Treatment of children and adolescents with hemangioma using propranolol: preliminary results from a retrospective study

2014 ◽  
Vol 132 (1) ◽  
pp. 48-54 ◽  
Author(s):  
Juliana Costa Albuquerque ◽  
Rosane Aline Magalhaes ◽  
Jamille Araujo Felix ◽  
Maria Vilani Rodrigues Bastos ◽  
Juvenia Bezerra Fontenele ◽  
...  
Keyword(s):  
Retrospective Study ◽  
Children And Adolescents ◽  
Previous Treatment ◽  
Capillary Hemangioma ◽  
Response To Treatment ◽  
Vascular Tumors ◽  
Lesion Volume ◽  
Chi Square ◽  
One Year ◽  
Almost All

CONTEXT AND OBJECTIVE: Hemangiomas are the commonest vascular tumors during childhood. In 2008, the effect of propranolol for treating capillary hemangiomas was demonstrated. Other similar results followed, showing that it rapidly reduces lesion volume. The objective here was to evaluate children and adolescents with hemangiomas that were treated with propranolol. DESIGN AND SETTING: Retrospective study, conducted in a children's hospital. METHODS : Patients aged 0-19 years with or without previous treatment, who were treated between January 2009 and December 2010, were included. The response was assessed by comparing the lesion appearance between the start of treatment and the last consultation. We considered partial or complete responses as the response to treatment. RESULTS : Sixty-nine patients with a median follow-up of 11 months (mean age: 31 months) were included. Of these, 58 patients were recently diagnosed and 11 had had previous treatment. A response (partial or complete) was seen in 60 patients (87%). Among the capillary hemangioma cases, responses were seen in 50 out of 53 (94%), while in other lesion types, it was 10 out of 16 (63%) (P = 0.3; chi-square). Responses in patients less than one year of age were seen in 37 out of 38 (97%), whereas in those over one year of age, in 23 out of 31 (74%) (P = 0.4; chi-square). Side effects were uncommon and mild. CONCLUSIONS: Propranolol seemed to be effective for treatment of hemangiomas in children and adolescents, and not just in the proliferative stage, with responses in almost all the patients.

Analytical Techniques for the Optimisation of Rocket Trajectories

1963 ◽  
Vol 14 (2) ◽  
pp. 105-124 ◽  
Author(s):  
Derek F. Lawden
Keyword(s):  
Gravitational Field ◽  
Artificial Satellite ◽  
Analytical Techniques ◽  
Present Position ◽  
Mayer Problem ◽  
Special Cases ◽  
Minimum Expenditure ◽  
Law Of Attraction ◽  
Special Case

SummaryThe development during the last two decades of analytical techniques for the solution of problems relating to the optimisation of rocket trajectories is outlined and the present position in this field of research is summarised. It is shown that the determination of optimal trajectories in a general gravitational field can be expressed as a Mayer problem from the calculus of variations. The known solution to such a problem is stated and applied, first to the special case of the launching of an artificial satellite into a circular orbit with minimum expenditure of propellant and, secondly, to the general astronautical problem of the economical transfer of a rocket between two terminals in a gravitational field. The special cases when the field is uniform and when it obeys an inverse square law of attraction to a point are then considered, and the paper concludes with some remarks concerning areas in which further investigations are necessary.

scholarly journals Water entry of an expanding wedge/plate with flow detachment

2016 ◽  
Vol 797 ◽  
pp. 322-344 ◽  
Author(s):  
Yuriy A. Semenov ◽  
Guo Xiong Wu
Keyword(s):  
Free Surface ◽  
General Solution ◽  
Water Entry ◽  
Hodograph Method ◽  
Fixed Length ◽  
Pressure Distributions ◽  
Initial Stage ◽  
Special Cases ◽  
Wedge Plate ◽  
Special Case

A general similarity solution for water-entry problems of a wedge with its inner angle fixed and its sides in expansion is obtained with flow detachment, in which the speed of expansion is a free parameter. The known solutions for a wedge of a fixed length at the initial stage of water entry without flow detachment and at the final stage corresponding to Helmholtz flow are obtained as two special cases, at some finite and zero expansion speeds, respectively. An expanding horizontal plate impacting a flat free surface is considered as the special case of the general solution for a wedge inner angle equal to ${\rm\pi}$. An initial impulse solution for a plate of a fixed length is obtained as the special case of the present formulation. The general solution is obtained in the form of integral equations using the integral hodograph method. The results are presented in terms of free-surface shapes, streamlines and pressure distributions.

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