• Title/Summary/Keyword: beta function

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

  • 송미순
    • Journal of Korean Academy of Nursing
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    • v.23 no.4
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    • pp.678-693
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    • 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.

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Effects of Cognitive Function and Depression on Anxiety in Elderly People-Convergent approach (노인의 인지기능과 우울이 불안에 미치는 영향-융복합적 접근)

  • Lee, Jeong-Sook;Lee, Sun-Young
    • Journal of Digital Convergence
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    • v.13 no.8
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    • pp.401-408
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    • 2015
  • This study was done to examine the relation of cognitive function, depression and anxiety in elderly people above 65 years of age, and to identify factors influencing anxiety. The data were collected from June 1 to August 30 2014. Data were collected by questionnaire from 363 elderly people. The instruments for this study were MMSE-DS, depression, anxiety. The data were analyzed using descriptive statistics, t-test, ANOVA, Pearson's correlation coefficients, and multiple linear regression with the SPSS/WIN 18.0 program. According to results, the significant factors influencing anxiety were sleeping time(${\beta}=-.249$, p<.001), depression(${\beta}=.218$, p<.001), cognitive function(${\beta}=-.209$, p<.001), occupation(${\beta}=-.133$, p=.006). The study reveals that it is necessary to develop a convergent program that maintain adequate sleep, prevents of cognitive impairment and decreases depression.

The Prime Counting Function (소수계량함수)

  • Lee, Sang-Un;Choi, Myeong-Bok
    • Journal of the Korea Society of Computer and Information
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    • v.16 no.10
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    • pp.101-109
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    • 2011
  • The Riemann's zeta function $\zeta(s)$ has been known as answer for a number of primes $\pi$(x) less than given number x. In prime number theorem, there are another approximation function $\frac{x}{lnx}$,Li(x), and R(x). The error about $\pi$(x) is R(x) < Li(x) < $\frac{x}{lnx}$. The logarithmic integral function is Li(x) = $\int_{2}^{x}\frac{1}{lnt}dt$ ~ $\frac{x}{lnx}\sum\limits_{k=0}^{\infty}\frac{k!}{(lnx)^k}=\frac{x}{lnx}(1+\frac{1!}{(lnx)^1}+\frac{2!}{(lnx)^2}+\cdots)$. This paper shows that the $\pi$(x) can be represent with finite Li(x), and presents generalized prime counting function $\sqrt{{\alpha}x}{\pm}{\beta}$. Firstly, the $\pi$(x) can be represent to $Li_3(x)=\frac{x}{lnx}(\sum\limits_{t=0}^{{\alpha}}\frac{k!}{(lnx)^k}{\pm}{\beta})$ and $Li_4(x)=\lfloor\frac{x}{lnx}(1+{\alpha}\frac{k!}{(lnx)^k}{\pm}{\beta})}k\geq2$ such that $0{\leq}t{\leq}2k$. Then, $Li_3$(x) is adjusted by $\pi(x){\simeq}Li_3(x)$ with ${\alpha}$ and error compensation value ${\beta}$. As a results, this paper get the $Li_3(x)=Li_4(x)=\pi(x)$ for $x=10^k$. Then, this paper suggests a generalized function $\pi(x)=\sqrt{{\alpha}x}{\pm}{\beta}$. The $\pi(x)=\sqrt{{\alpha}x}{\pm}{\beta}$ function superior than Riemann's zeta function in representation of prime counting.

The Effect of Acupuncture on the Brain in Human (자침이 뇌에 미치는 영향)

  • Park Kyoung-Sik
    • Journal of Society of Preventive Korean Medicine
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    • v.4 no.2
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    • pp.214-234
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    • 2000
  • This study was carried to identify whether acupuncture of several acupuncture points can affect the brain and to observe which aspects appear in EEG mapping, using electroencephalography. Those results are as follows ; 1. The pattern of resting computerized EEG map in intact human is appered normal 2. Each Acupuncture in Kwan Weon or Jog Sam Ri meridian points bring about the increase in $\theta,\;\alpha-wave$ activity and at various area of the cerebrium and the decrease in $\delta,\;\beta-wave$ activity. It strands to reason that brain function is elevated On the other hand , synchronous acupuncture bring about the decrease of brain function in view of the decrease of $\delta,\;\theta-wave$ activity at frontal area, and the unstable brain state in view of the increase of $\beta-wave$ activity. 3. Acupuncture in Hyeon Jong meridian point bring about the increase of $\delta,\;\theta-wave$ activity at frontal area and $\beta-wave$ activity at temporal area. From these we deduce that brain function is declined and brain is unstable. Synchronous acupuncture with other meridian points reversly showed that brain function is elevated. 4. Synchronous acupuncture in Kwan Weon , Jog Sam Ri, Hyeon Jong bring about the decrease of the brain function and the unstable brain state, showing the pattern of increased $\delta,\;\theta-wave$ activity at frontal, parietal area, and increased $\beta-wave$ activity at temporal area.

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Factors Affecting the Sexual Function of Pregnant Women (임부의 성기능 영향요인)

  • Oh, Eun Jung;Kim, Moon Jeong
    • Women's Health Nursing
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    • v.25 no.1
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    • pp.73-85
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    • 2019
  • Purpose: To determine whether maternal attitude toward sex during pregnancy and health-related quality of life could influence sexual function of pregnant women. Methods: In this study, 138 second and third trimester pregnant women completed self-report questionnaires during their visits to women's hospitals or community health centers to assess their general characteristics, attitude toward sex during pregnancy (PIES-M), health-related quality of life (EQ-5D), and sexual function (FSFI-6K). Multiple regression analysis was performed to test the research model with SPSS version 23. Results: Pregnant women who had discontinued their sexual life after recognizing their pregnancy accounted for 27.5% of women questioned. The average sexual function score of pregnant women was higher in the second trimester than the third trimester. Attitude toward sex during pregnancy (${\beta}=-.38$, p<.001), maintaining sexual life (${\beta}=.20$, p=.028), health-related quality of life (${\beta}=.18$, p=.030), and adverse symptoms during sex (${\beta}=.18$, p=.042) were determinants of sexual function during pregnancy. Conclusion: Nurses in antenatal care units need to help pregnant women maintain a positive attitude toward sexual activity during pregnancy and manage their health-related quality of life to maintain their sexual life during pregnancy.

Influence of Upper extremity function, Activities of Daily Living, Therapeutic Flow and Quality of Life in Stroke patients (뇌졸중 환자의 상지기능, 일상생활활동, 치료적 몰입이 삶의 질에 미치는 영향)

  • Kim, Ji-Hoon
    • Journal of Digital Convergence
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    • v.16 no.12
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    • pp.417-425
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    • 2018
  • The purpose of this study was to analyzed the correlation between upper extremity function, activities of daily living, quality of life and therapeutic flow in stroke clients and identify the factors influencing therapeutic flow. Total 249 stroke patients from 13 hospitals were measure at therapist and researcher for upper extremity function, activities of daily living, therapeutic flow and quality of life. Factors that affect the quality of life correlation as s result of positively correlated with upper extremity function(r=.312, p<.001), activities of daily living(r=.605, p<.001), therapeutic flow(r=.525, p<.001). And the effect on quality of life in stroke clients variables affecting therapeutic flow(${\beta}=.344$, p<.001), activities of daily living(${\beta}=.293$, p<.05) and Time since of onset(${\beta}=.145$, p<.05) were the order of analysis. The regression model explained 35.9% of variances(F=35.736, p<.001). Therefore, it was found that therapeutic flow in stroke clients is an important factor for quality of life, future therapeutic flow study will continue to be needed.

Statistical Analysis of Ranging Errors by using $\beta$-Density Angular Errors due to Heading Uncertainty ($\beta$ - 분포를 갖는 센서의 방향각 오차로 인한 거리 오차의 통계적 분석)

  • 김종성
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1984.12a
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    • pp.100-106
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    • 1984
  • Traditional methods for estimating the location of underwater target, i.e. the triangulation method and the wavefront curvature method, have been utilized. The location of a target is defined by the range and the bearing, which estimates can be obtained by evaluating the time delay between neighboring sensors. Many components of error occur in estimating the target range, among which the error due to the fluctuation of heading angle is outstanding. In this paper, the wavefront curvature method was used. We considered the error due to the heading fluctuation as the $\beta$-density process, from which we analized the range estimates with $\beta$-density function exist in some finite limits, and its mean value and variation are depicted as a function of true range and heading fluctuation. Given heading angles and sensor separation, maximum estimated heading errors are presented as a function of true range.

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SOME REMARKS ON THE GROWTH OF COMPOSITE p-ADIC ENTIRE FUNCTION

  • Biswas, Tanmay;Biswas, Chinmay
    • Korean Journal of Mathematics
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    • v.29 no.4
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    • pp.715-723
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    • 2021
  • In this paper we wish to introduce the concept of generalized relative index-pair (𝛼, 𝛽) of a p-adic entire function with respect to another p-adic entire function and then prove some results relating to the growth rates of composition of two p-adic entire functions with their corresponding left and right factors.

An Attempt to Model Distributions of Machined Component Dimensions in Production

  • Cogun, Can;Kilinc, Biinyamin
    • Journal of Mechanical Science and Technology
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    • v.16 no.1
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    • pp.60-74
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    • 2002
  • In this study, normal, log-normal, triangular, uniform. Weibull, Erlang and unit beta probability density functions are tried to represent the behaviour of frequency distributions of workpiece dimensions collected from various manufacturing firms. Among the distribution functions, the unit beta distribution function is found to be the best fit using the chi-square test of fit. An attempt is made for the adoption of the unit beta model to x-bar charts of quality control in manufacturing. In this direction, upper and lower control limits (UCL and LCL) of x-bar control charts of dimension measurements are estimated for the beta model, and the observed differences between the beta and normal model control limits are discussed for the measurement sets.

NON-EXISTENCE OF SOME ARTINIAN LEVEL O-SEQUENCES OF CODIMENSION 3

  • Shin, Dong-Soo
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.517-523
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    • 2007
  • Let R/I be an Artinian algebra of codimension 3 with Hilbert function H such that $h_{d-1}>h_d=h_{d+1}$. Ahn and Shin showed that A cannot be level if ${\beta}_{1,d+2}(Gin(I))={\beta}_{2,d+2}(Gin(I))$ where Gin(I) is a generic initial ideal of I. We prove that some certain graded Artinian algebra R/I cannot be level if either ${\beta}_{1,d}(I^{lex})={\beta}_{2,d}(I^{lex})+1\;or\;{\beta}_{1,d+1}(I^{lex})={\beta}_{2,d+1}(I^{lex})\;where\;I^{lex}$ is a lex-segment ideal associated to I.