• Title/Summary/Keyword: Function

Search Result 69,428, Processing Time 0.07 seconds

ANALYSIS OF AN EXTENDED WHITTAKER FUNCTION AND ITS PROPERTIES

  • Nabiullah Khan;Saddam Husain;M. Iqbal Khan
    • Honam Mathematical Journal
    • /
    • v.45 no.2
    • /
    • pp.184-197
    • /
    • 2023
  • For the numerous uses and significance of the Whittaker function in the diverse research areas of mathematical sciences and engineering sciences, This paper aims to introduce an extension of the Whittaker function by using a new extended confluent hypergeometric function of the first kind in terms of the Mittag-Leffler function. We also drive various valuable results like integral representation, integral transform and derivative formula. Further, we also analyze specific known results as a particular case of the main result.

Effects of the Sensory Impairment on Functioning Levels of the Elderly (노인의 감각장애와 기능상태에 관한 연구)

  • 송미순
    • Journal of Korean Academy of Nursing
    • /
    • v.23 no.4
    • /
    • pp.678-693
    • /
    • 1993
  • The purposes of this study were to describe the level of vision and hearing impairments, depression and functional capacity, among Korean institutionalized elderly and to examine the relation-ship between sensory impairments, depression, and functional capacity in these people. The final pupose was to test the cognitive function path model using sensory competencies as predictors. A convenience sample of thirty nine male and 90 female subjects with a mean age of 80.5 were the subjects of this study. The subjects were tested for cognitive function, and vision and hearing impairments. Physical function and social function were measured by observation of designated task performance by the subjects. Their level of de-pression was measured using a Geriatric Depression Scale administered through an interview. Individual subjective ratings of hearing and vision were marked by the subjects, on a ladder scale. The results of the study showed that 48.8% of the subjects had a hearing impairment, 63.5% had a vision impairement, and 36.4% had both a vision and hearing impairement. The four sensory groups (no sensory impairement, hearing impairement, vision impairement, hearing and vision impairement) were tested for differences in depression, physical function, social behavior and cognitive function. The only significant difference that was found was in cognitive function, between the no sensory impairement group and the hearing and vision impairement group(F=3.25, P<.05), Subjective ratings of hearing showed a significant correlation with cognitive function(r=.34, p<.001) and with social behavior(r=.31, p<.001). There was no correlation between subjective vision ratings and cognitive function or social behavior. However there was a significant correlation between vision and hearing(r=.49, p<.001). There was also a significant negative correlation between age and vision(r=-.21, p<.01) and between age and hear-ing(r=-.34, p<.001). There was a significant correlation between depression and physical function (r=-.32, p<.001) but there was no correlation between depression and cognitive function or social behavior. Based on the literature review and the result, this study, a path model of sensory competence-> cognitive function- >social behavior was developed and tested : Perceived vision and perceived hearing were the exogenous variahles and cognitive function and social behavior were the endogeneous variables in the model. The path analysis result demonstrated an accept-able fit (GFI=.997, AGFI=.972, X$^2$=.72 (p=.396), RMSR=.019) between the data and the model. There was a significant direct effect($\beta$=.38) of perceived hearing on cognitive function. There was a significant direct effect ($\beta$=.32) of cognitive function on social behavior. The total effect of hearing on social behavior was $\beta$=.32 including the indirect effect ($\beta$=.12) . However perceived vsion had little effect ($\beta$=-.08) on cognitive function. The result of path analysis confirms that hearing levels influence cognitive function, and both hearing and cognitive function levels influence social behavior. However, vision has little effect on cognitive function or on social behavior. For the next study, a combined model of the pre viously developed environment - >depression- > physical and social function model, and the present cognitive function model, should be tested to further refine the functional capacity model. There also a need for longitudinal study of functional capacity and sencory competence in order to better understand how declining sensory competence influences functional capacity and how it effects in-creasing dependency and nursing needs in the elderly.

  • PDF

Factors influencing Cognitive Function in Women Cancer Patients Receiving Chemotherapy (항암화학요법을 받는 여성암 환자의 인지기능에 영향을 미치는 요인)

  • Jun, Eun-Young
    • Journal of Haehwa Medicine
    • /
    • v.23 no.2
    • /
    • pp.23-32
    • /
    • 2015
  • Objective : The purpose of this study was to examine the level of the cognitive function, and to identify the influencing factors on cognitive function in women cancer patients receiving chemotherapy. This study attempted to provide basic data useful to development of nursing intervention and improve the quality of life in women cancer patients. Methods : As a cross-sectional descriptive study, women with receiving chemotherapy above one cycle were recruited. One hundred and twenty-five women cancer patients who met the study criteria agreed to participate in the study. The questionnaire set consisted of cognitive function, quality of life, depression, anxiety and information on demographic and clinical characteristics. Results : There was no statistically significant difference in clinical characteristics according to the cognitive function. The cognitive function was higher the more low age (F=9.937, p<.001), and the more high education level (F=12.332, p<.001). Multiple regression analysis showed the predictors were significantly related to cognitive function. age, education, and the number of chemotherapy explained 31.8% of the cognitive function. Conclusions : This result of this study provides basic information about factors influencing cognitive function, although study findings are insufficient in explaining related variables among women cancer patients. Even though women cancer patients were receiving chemotherapy, this study showed that the level of cognitive function was high. In order to receive better results and findings the period decreasing cognitive function, further studies are need to measure cognitive function according to the passage of time during or after chemotherapy.

  • PDF

Prediction of steel corrosion in magnesium cement concrete based on two dimensional Copula function

  • Feng, Qiong;Qiao, Hongxia;Wang, Penghui;Gong, Wei
    • Computers and Concrete
    • /
    • v.21 no.2
    • /
    • pp.181-187
    • /
    • 2018
  • In order to solve the life prediction problem of damaged coating steel bar in magnesium cement concrete, this study tries to establish the marginal distribution function by using the corrosion current density as a single degradation factor. Representing the degree of steel corrosion, the corrosion current density were tested in electrochemical workstation. Then based on the Copula function, the joint distribution function of the damaged coating was established. Therefore, it is indicated that the corrosion current density of the bare steel and coated steel bar can be used as the boundary element to establish the marginal distribution function. By using the Frank-Copula function of Copula Archimedean function family, the joint distribution function of the damaged coating steel bar was successfully established. Finally, the life of the damaged coating steel bar has been lost in 7320d. As a new method for the corrosion of steel bar under the multi-dimensional factors, the two-dimensional Copula function has certain practical significance by putting forward some new ideas.

Improvement plan for Function Definition using CAFAT in the Construction VE (건설 VE에서 CAFAT을 이용한 기능정의 개선방안)

  • Choi, Chang-Hoon;Kim, Soo-Yong
    • Korean Journal of Construction Engineering and Management
    • /
    • v.7 no.3 s.31
    • /
    • pp.102-111
    • /
    • 2006
  • In the analysis of function, which is the core and early phase among the procedure of construction VE Job Plan, the accuracy of function definition directly connects to VE result. However, the method of defining function, which is currently used is not accurate and comprehended or is difficult to utilize it systematically. Also, there is not a clear definition about the function for selecting VE so that many difficulties occur in the organic connection between each of functions in the summarization of function after defining function. Therefore, this study cleared the definition of function and made up any counter measured problem occurred in FAST Diagram later on and suggested CAFAT(Combined Antithetic Function Analysis Technique) in order to induce better phase in functional analysis.

A NEW EXTENSION OF THE MITTAG-LEFFLER FUNCTION

  • Arshad, Muhammad;Choi, Junesang;Mubeen, Shahid;Nisar, Kottakkaran Sooppy;Rahman, Gauhar
    • Communications of the Korean Mathematical Society
    • /
    • v.33 no.2
    • /
    • pp.549-560
    • /
    • 2018
  • Since Mittag-Leffler introduced the so-called Mittag-Leffler function in 1903, due to its usefulness and diverse applications, a variety and large number of its extensions (and generalizations) and variants have been presented and investigated. In this sequel, we aim to introduce a new extension of the Mittag-Leffler function by using a known extended beta function. Then we investigate ceratin useful properties and formulas associated with the extended Mittag-Leffler function such as integral representation, Mellin transform, recurrence relation, and derivative formulas. We also introduce an extended Riemann-Liouville fractional derivative to present a fractional derivative formula for a known extended Mittag-Leffler function, the result of which is expressed in terms of the new extended Mittag-Leffler functions.

Diabetes and Cognitive Function in Community-Dwelling Older Adults (지역사회에 거주하는 당뇨병 노인과 일반 노인의 인지기능 비교)

  • Kim, Yong-Suk
    • Research in Community and Public Health Nursing
    • /
    • v.22 no.4
    • /
    • pp.377-388
    • /
    • 2011
  • Purpose: This study was to examine the relation between diabetes and cognitive function in older adults. Methods: Eighty community-dwelling patients with diabetes and 506 subjects without diabetes were studied with cognitive function test. Cognitive function was measured by Full-scale IQ, Basic IQ, Executive IQ, Attention Function Index, Working Memory Index, Language Function Index, Visuospatial Function Index, Memory Function Index, and MMSE-K1. Results: In model controlling for education, the diabetic group showed significantly lower scores than the non-diabetic group in in Full-scale IQ (p=.012), Basic IQ (p=.034), Executive IQ (p=.014), Attention Function Index (p=.002), Working Memory Index (p=.037), and Memory Function Index (p=.043). The diabetic and non-diabetic groups that were matched for gender, age, and education showed similar differences in 7 out of 9 cognitive measures. The impairments of Full-scale IQ and Memory Function Index in the diabetic group were, respectively, 2.7 and 2.8 times greater than that in the diabetic group. Conclusion: These results showed that diabetes should be considered to a factor of cognitive impairment in older adults.

Torque Calculation of Flux Switching Motor by Winding Function Theory (Winding function theory를 이용한 flux switching motor의 토크 계산)

  • Kim, Jae-Gon;Park, Han-Seok;Woo, Kyung-Il
    • Journal of Advanced Marine Engineering and Technology
    • /
    • v.39 no.4
    • /
    • pp.478-482
    • /
    • 2015
  • This paper describes the torque calculation of Flux Switching Motor using Winding Function Theory. First of all, the optimized new Flux Switching Motor was proposed to minimize the torque ripple. The simulation results by the Winding Function Theory were compared with those from Finite Element Analysis. The revised Flux Switching Motor and experimental setup were manufactured. The simulation result by the Winding Function Theory was compared with that of the experiment. The comparison validated the analysis method of the Flux Switching Motor by Winding Function Theory.

A Dynamic Adjustment Method of Service Function Chain Resource Configuration

  • Han, Xiaoyang;Meng, Xiangru;Yu, Zhenhua;Zhai, Dong
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • v.15 no.8
    • /
    • pp.2783-2804
    • /
    • 2021
  • In the network function virtualization environment, dynamic changes in network traffic will lead to the dynamic changes of service function chain resource demand, which entails timely dynamic adjustment of service function chain resource configuration. At present, most researches solve this problem through virtual network function migration and link rerouting, and there exist some problems such as long service interruption time, excessive network operation cost and high penalty. This paper proposes a dynamic adjustment method of service function chain resource configuration for the dynamic changes of network traffic. First, a dynamic adjustment request of service function chain is generated according to the prediction of network traffic. Second, a dynamic adjustment strategy of service function chain resource configuration is determined according to substrate network resources. Finally, the resource configuration of a service function chain is pre-adjusted according to the dynamic adjustment strategy. Virtual network functions combination and virtual machine reusing are fully considered in this process. The experimental results show that this method can reduce the influence of service function chain resource configuration dynamic adjustment on quality of service, reduce network operation cost and improve the revenue of service providers.

Dynamic Pipe Hash Function (동적 파이프 해쉬 함수)

  • Kim, Hie-Do;Won, Dong-Ho
    • Journal of the Korea Institute of Information Security & Cryptology
    • /
    • v.17 no.4
    • /
    • pp.47-52
    • /
    • 2007
  • In this paper, we proposed a constrution that creates Dynamic Pipe Hash Function with a pipe hash function. To increase security lever, dynamic hash function take and additional compression function. Proposed hash function based on the piped hash function. Our proposed Dynamic Pipe Hash Function is as secure against multicollision attack as an ideal hash function. And it have advantage for a number of reasons because of variable digest size. For example, in digital signature protocol, If a user requires increased security by selecting a large key size, useing a dynamic hash function in a protocol make implementation much easier when it is mandated that the size of the digest by increased.