• 제목/요약/키워드: term functions

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A FAMILY OF FUNCTIONS ASSOCIATED WITH THREE TERM RELATIONS AND EISENSTEIN SERIES

  • Aygunes, Aykut Ahmet
    • 대한수학회보
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    • 제53권6호
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    • pp.1671-1683
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    • 2016
  • Abstract. In this paper, for $a{\in}C$, we investigate functions $g_a$ and ${\psi}_a$ associated with three term relations. $g_a$ is defined by means of function ${\psi}_a$. By using these functions, we obtain some functional equations related to the Eisenstein series and the Riemann zeta function. Also we find a generalized difference formula of function $g_a$.

만성 정신분열증 환자의 인지기능에 미치는 Clozapine 장기치료의 효과 (The Effect of Long-term Treatment with Clozapine on Cognitive Functions in Chronic Schizophrenic Patients)

  • 이홍식;김지현;전지용;정민정
    • 생물정신의학
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    • 제1권1호
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    • pp.109-116
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    • 1994
  • 연구배경: 정신분열증 환자에서 보이는 인지기능의 장애와 음성증상과의 관계는 아직 정확히 밝혀져 있지 않다. 음성증상을 효과적으로 호전시키는 것으로 알려진 clozapine을 만성 정신분열증 환자들에게 9개월 간 투여하여 인지기능이 호전될 수 있는지 조사하고 임상증상의 호전 정도와 인지기능의 호전정도 사이의 상관 관계를 평가하였다. 방 법: 만성정신분열증 환자(16명)를 대상으로 Wisconsin Card Sorting Test, Digit Span Test 및 Judgment of Line Orientation Test 등의 심리검사를 clozapine 투약 전과 9개월 후 각각 실시하였다. 또한 BPRS를 사용하여 투약전과 9개월 간의 투약 이후의 정신병리를 평가하였으며 이를 신경심리검사 결과와 비교하였다. 결 과: Clozapine은 만성정신분열증 환자의 양성 및 음성 증상을 모두 유의하게 호전시켰다. 신경심리검사 결과 집중력, 단기 기억력, 시각-지각력에는 유의한 호전이 있었으며 집행능력에서도 통계적으로 의의있지는 않으나 호전되는 경향을 보였다(p=0.066). 환자들의 임상증상과 신경심리검사 결과 사이에는 아무런 상관관계도 발견할 수 없었다. 결 론: 만성정신분열증 환자들에서 clozapine 장기 투여를 통해 임상증상은 물론 집중력 및 단기기억력 등 일부 인지기능의 호전을 기대할 수 있으며 특히 보다 정교한 정보처리와 관련되는 집행능력 역시 9개월 이상 장기 치료를 통해서 호전될 수 있음을 시사하였다. 또한 정신분열증 환자에서 나타나는 인지기능의 장애는 임상증상에 의한 2차적 현상이 아니라 하나의 독립된 병리임을 추측할 수 있다. 향후 보다 객관적인 결론을 위하여 타 항정신병약물과의 비교 연구가 지속적으로 필요하다고 본다.

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계산 에너지 함수 분석을 통한 궤환성을 갖는 단층신경회로망의 성능개선 (Performance improvement of single-layer neural network with feedback by analyzing the computational energy function)

  • 고경희;강민제
    • 전자공학회논문지C
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    • 제34C권12호
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    • pp.54-60
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    • 1997
  • A new method to neglect the third term of the computational energy expression in the single-layer neural network with feedback is introduced. The system often converges to local minima instead of to global minima, because the computational energy is not matched exactly with the cost function being optimized. One of the factors causing these tow functions different is the third term of computational enegy expression. Regarding this third term energy very small, it is always ignored in designing the system. However, a sthe system growing, this third term energy is also growing and this grown term makes the computational energy function much different from the cost function. In results of differency between two functions, system converges to local minima more than before. In this paper, a new method to neglect te third term energy is introduced, so that the system with tis new method has been imroved.

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Application of the Weibull-Poisson long-term survival model

  • Vigas, Valdemiro Piedade;Mazucheli, Josmar;Louzada, Francisco
    • Communications for Statistical Applications and Methods
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    • 제24권4호
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    • pp.325-337
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    • 2017
  • In this paper, we proposed a new long-term lifetime distribution with four parameters inserted in a risk competitive scenario with decreasing, increasing and unimodal hazard rate functions, namely the Weibull-Poisson long-term distribution. This new distribution arises from a scenario of competitive latent risk, in which the lifetime associated to the particular risk is not observable, and where only the minimum lifetime value among all risks is noticed in a long-term context. However, it can also be used in any other situation as long as it fits the data well. The Weibull-Poisson long-term distribution is presented as a particular case for the new exponential-Poisson long-term distribution and Weibull long-term distribution. The properties of the proposed distribution were discussed, including its probability density, survival and hazard functions and explicit algebraic formulas for its order statistics. Assuming censored data, we considered the maximum likelihood approach for parameter estimation. For different parameter settings, sample sizes, and censoring percentages various simulation studies were performed to study the mean square error of the maximum likelihood estimative, and compare the performance of the model proposed with the particular cases. The selection criteria Akaike information criterion, Bayesian information criterion, and likelihood ratio test were used for the model selection. The relevance of the approach was illustrated on two real datasets of where the new model was compared with its particular cases observing its potential and competitiveness.

도시와 농촌 노인의 건강기능 상태 및 요양시설 이용의사 (Health Status and Utilization of Long-term Care Facility in the Urban and Rural Aged)

  • 이홍자
    • 지역사회간호학회지
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    • 제19권2호
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    • pp.260-269
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    • 2008
  • Purpose: The purpose of this study was to identify differences in health status and the utilization of long-term care service between urban and rural aged residents in Korea. Methods: Through convenience sampling, 1,405 elders (829 from urban areas and 576 from rural areas) were selected during March 1 to May 31 in 2004. All the subjects agreed to participate and filled out the survey questionnaire after signing the consent form. The instruments utilized in this study were the impairment of physio-sensory function, ADL IADL, cognitive function, and psycho-social function scale. This instrument was developed by modifying the scab developed by Gurland & Wilder (1984). Data was analyzed using the SPSS Win program. Results: There were significant differences in economic status, duration of living and type of medical insurance between rural and urban elderly(p<.05). Physio-sensory functions (t=4.53. p<.001), ADL (t=3.61. p<.001), IADL (t=2.45, p=.014), cognitive functions (t=-2.63. p=.024) and psycho-social functions (t=3.69. p<.001) were significantly different between the two groups. The utilization of long-term care facility in the urban elderly was significantly higher than that in the rural elderly ($x^2=10.14$, p<.001). Conclusion: Considering these findings. the need for long-term care should be assessed by residence characteristics. Because of different utilization of long term care facility according to the elderly's needs, long-term care services should be considered the residence characteristics.

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Sensitivity Analysis in Principal Component Regression with Quadratic Approximation

  • Shin, Jae-Kyoung;Chang, Duk-Joon
    • Journal of the Korean Data and Information Science Society
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    • 제14권3호
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    • pp.623-630
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    • 2003
  • Recently, Tanaka(1988) derived two influence functions related to an eigenvalue problem $(A-\lambda_sI)\upsilon_s=0$ of real symmetric matrix A and used them for sensitivity analysis in principal component analysis. In this paper, we deal with the perturbation expansions up to quadratic terms of the same functions and discuss the application to sensitivity analysis in principal component regression analysis(PCRA). Numerical example is given to show how the approximation improves with the quadratic term.

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Short- and long-term analyses of shear lag in RC box girders considering axial equilibrium

  • Xiang, Yiqiang;He, Xiaoyang
    • Structural Engineering and Mechanics
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    • 제62권6호
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    • pp.725-737
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    • 2017
  • An analytical method considering axial equilibrium is proposed for the short- and long-term analyses of shear lag effect in reinforced concrete (RC) box girders. The axial equilibrium of box girders is taken into account by using an additional generalized displacement, referred to as the longitudinal displacement of the web. Three independent shear lag functions are introduced to describe different shear lag intensities of the top, bottom, and cantilever plates. The time-dependent material properties of the concrete are simulated by the age-adjusted effective modulus method (AEMM), while the reinforcement is assumed to behave in a linear-elastic fashion. The differential equations are derived based on the longitudinal displacement of the web, the vertical displacement of the cross section, and the shear lag functions of the flanges. The time-dependent expressions of the generalized displacements are then deduced for box girders subjected to uniformly distributed loads. The accuracy of the proposed method is validated against the finite element results regarding the short- and long-term responses of a simply-supported RC box girder. Furthermore, creep analyses considering and neglecting shrinkage are performed to quantify the time effects on the long-term behavior of a continuous RC box girder. The results show that the proposed method can well evaluate both the short- and long-term behavior of box girders, and that concrete shrinkage has a considerable impact on the concrete stresses and internal forces, while concrete creep can remarkably affect the long-term deflections.

CHARACTERIZATION OF CERTAIN TYPES OF r-PLATEAUED FUNCTIONS

  • Hyun, Jong Yoon;Lee, Jungyun;Lee, Yoonjin
    • 대한수학회지
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    • 제55권6호
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    • pp.1469-1483
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    • 2018
  • We study a subclass of p-ary functions in n variables, denoted by ${\mathcal{A}}_n$, which is a collection of p-ary functions in n variables satisfying a certain condition on the exponents of its monomial terms. Firstly, we completely classify all p-ary (n - 1)-plateaued functions in n variables by proving that every (n - 1)-plateaued function should be contained in ${\mathcal{A}}_n$. Secondly, we prove that if f is a p-ary r-plateaued function contained in ${\mathcal{A}}_n$ with deg f > $1+{\frac{n-r}{4}}(p-1)$, then the highest degree term of f is only a single term. Furthermore, we prove that there is no p-ary r-plateaued function in ${\mathcal{A}}_n$ with maximum degree $(p-1){\frac{n-4}{2}}+1$. As application, we partially classify all (n - 2)-plateaued functions in ${\mathcal{A}}_n$ when p = 3, 5, and 7, and p-ary bent functions in ${\mathcal{A}}_2$ are completely classified for the cases p = 3 and 5.

중학교 지필 평가 분석 - 이차방정식과 이차함수를 중심으로 - (Analysis on the term examinations of middle school)

  • 강병련;김병주
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제23권3호
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    • pp.923-951
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    • 2009
  • 중학교 수학 평가에서 지필평가가 차지하는 비율은 대부분의 학교에서 80% 이상이나, 지필평가의 분석은 거의 이루어지지 않고 있다. 이 논문에서는 중학교에서 실시한 이차방정식과 이차함수 영역에 대한 지필고사 문제들을 우리나라 교육과정의 수학교과 총괄목표 및 각 단원의 평가목표에 따라 분석한다.

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