• Title/Summary/Keyword: characteristic function

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MEAN VALUES OF DERIVATIVES OF QUADRATIC PRIME DIRICHLET L-FUNCTIONS IN FUNCTION FIELDS

  • Jung, Hwanyup
    • Communications of the Korean Mathematical Society
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    • v.37 no.3
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    • pp.635-648
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    • 2022
  • In this paper, we establish an asymptotic formula for mean value of $L^{(k)}({\frac{1}{2}},\;{\chi}_P)$ averaging over ℙ2g+1 and over ℙ2g+2 as g → ∞ in odd characteristic. We also give an asymptotic formula for mean value of $L^{(k)}({\frac{1}{2}},\;{\chi}_u)$ averaging over 𝓘g+1 and over 𝓕g+1 as g → ∞ in even characteristic.

On the Structure of the Transfer Function which can be Structurally Stabilized by the PID, PI, PD and P Controller

  • Kang, Hwan-Il;Jung, Yo-Won
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.286-286
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    • 2000
  • We consider a negative unity feedback control system in which Che PIO, PI, PD or P controller and a transfer function having only poles are in cascade, We define the notion of the structural polynomial which means that there exists a subdomain of the coefficient space in which the polynomial is Hurwitz (left half plane stable) polynomial. We obtain the necessary and sufficient condition of the structure of the transfer function of which the characteristic polynomial is a structural polynomial, In addition, this paper present another necessary and sufficient condition for the existence of a constant gain controller with which the characteristic polynomial is structurally stable, For the structurally stabilizable P controller, it is allowed that the transfer function may not to all pole plants.

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A Random Shock Model for a Linearly Deteriorating System

  • Lee, Ji-Yeon;Lee, Eui-Young
    • Journal of the Korean Statistical Society
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    • v.24 no.2
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    • pp.471-479
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    • 1995
  • A random shock model for a linearly deteriorating system is introduced. The system deteriorating linearly with time is subject to random shocks which arrive according to a Poisson process and decrease the state of the system by a random amount. The system is repaired by a repairmen arriving according to another Poisson process if the state when he arrives is below a threshold. Explicit expressions are deduced for the characteristic function of the distribution function of X(t), the state of the system at time t, and for the distribution function of X(t) if X(t) is over the threshold. The stationary case is briefly discussed.

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Economic Tolerance Design of Quality Characteristics by the TAGUCHI's Loss Function (다구찌의 손실함수를 이용한 특성치의 경제적 허용차 설계)

  • 최문일;강창욱;황의철
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.14 no.24
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    • pp.133-139
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    • 1991
  • If the specifications of product. in general. art determined too wide. the precision of product becomes diminished. Otherwise it costs dearly to keep the precision. Therefore, It is realistic to consider various factors in determining specification of qualify characteristics TAGUCH Idefines quality of an object as "Quality is the loss that a product causes to society after being shipped. other than any losses caused by its intrinsic function". Particularly, to improve the performances of product TAGUCHI focuses his attention on the product design and process design which enable the functional characteristics of product to he robust to noises. In this paper, by the TAGUCHI's loss function, the characteristics which affect the variation of a product performance are classified into the scrappable characteristics and the reworkable characteristics when the target values of functional characteristics have been determined. And we will determine the tolerance of each characteristic which minimize the quality cost by the cost function which considers the economic factors and probability features of each characteristic.cteristic.

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Degree of Cognitive function, Self-esteem and Depression of the Elderly by Aging (노인의 인지기능, 자아존중감과 우울정도)

  • 성기월
    • Journal of Korean Academy of Nursing
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    • v.27 no.1
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    • pp.36-48
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    • 1997
  • This survey was performed to evaluate and compare cognitive function, self-esteem and depression in the elderly related to aging. The data were collected from 200 elders in eight homes for the elderly in Taegu. Data collection was done from June 1 to 31, 1996. The scale used to measure cognitive function was the MMSE-K(Mini-Mental State Examination-Korea), Self-esteem was measmed using Rosenberg's self-esteem scale and depression using SDS(Self-rating Depression Scale). A comparison of cognitive function, self-esteem and depression by aging were summarised as follows : 1. There were significant differences on the cognitive function score in the elderly according to age group(F=24.81, P<.01). 2. There were significant differences on the self-esteem score in the elderly according to age group(F=3.84, P<.5). 3. There were significant differences on the depression score in the elderly according to age group (F=5.90, P<.1). 4. The general characteristics which affected the cognitive function scores of the elders were sex (F=8.45, P<.5), educational level(F=8.86, P<.5), spousing(F=34.59. P<.01), and the perception of health(F=4.63, P<.5). 5. The general characteristic which affected the self-esteem scores of the elders was the perception of health(F=3.81. P<.5). 6. The general characteristic which affected the depression scores was the educational level(F=3.96, P<.5).

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A Function-characteristic Aware Thread-mapping Strategy for an SEDA-based Message Processor in Multi-core Environments (멀티코어 환경에서 SEDA 기반 메시지 처리기의 수행함수 특성을 고려한 쓰레드 매핑 기법)

  • Kang, Heeeun;Park, Sungyong;Lee, Younjeong;Jee, Seungbae
    • Journal of KIISE
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    • v.44 no.1
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    • pp.13-20
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    • 2017
  • A message processor is server software that receives various message formats from clients, creates the corresponding threads to process them, and lastly delivers the results to the destination. Considering that each function of an SEDA-based message processor has its own characteristics such as CPU-bound or IO-bound, this paper proposes a thread-mapping strategy called "FC-TM" (function-characteristic aware thread mapping) that schedules the threads to the cores based on the function characteristics in multi-core environments. This paper assumes that message-processor functions are static in the sense that they are pre-defined when the message processor is built; therefore, we profile each function in advance and map each thread to a core using the information in order to maximize the throughput. The benchmarking results show that the throughput increased by up to a maximum of 72 % compared with the previous studies when the ratio of the IO-bound functions to the CPU-bound functions exceeds a certain percentage.

A Development of Expected Loss Control Chart Using Reflected Normal Loss Function (역정규 손실함수를 이용한 기대손실 관리도의 개발)

  • Kim, Dong-Hyuk;Chung, Young-Bae
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.39 no.2
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    • pp.37-45
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    • 2016
  • Control chart is representative tools of statistical process control (SPC). It is a graph that plotting the characteristic values from the process. It has two steps (or Phase). First step is a procedure for finding a process parameters. It is called Phase I. This step is to find the process parameters by using data obtained from in-controlled process. It is a step that the standard value was not determined. Another step is monitoring process by already known process parameters from Phase I. It is called Phase II. These control chart is the process quality characteristic value for management, which is plotted dot whether the existence within the control limit or not. But, this is not given information about the economic loss that occurs when a product characteristic value does not match the target value. In order to meet the customer needs, company not only consider stability of the process variation but also produce the product that is meet the target value. Taguchi's quadratic loss function is include information about economic loss that occurred by the mismatch the target value. However, Taguchi's quadratic loss function is very simple quadratic curve. It is difficult to realistically reflect the increased amount of loss that due to a deviation from the target value. Also, it can be well explained by only on condition that the normal process. Spiring proposed an alternative loss function that called reflected normal loss function (RNLF). In this paper, we design a new control chart for overcome these disadvantage by using the Spiring's RNLF. And we demonstrate effectiveness of new control chart by comparing its average run length (ARL) with ${\bar{x}}-R$ control chart and expected loss control chart (ELCC).

Taxonomy of Asian Geranium L.(Geraniaceae) based on fruit and seed morphology

  • Park, Seon-Joo;Park, Hong-Duok
    • Journal of Environmental Science International
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    • v.11 no.2
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    • pp.121-130
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    • 2002
  • Compare to investigate the taxonomic utility of infragenera system and interspecific of Asian Geranium, we examined the fruit and seed morphology from 35 taxa. The fruit shape and seed's dispersal way did so that may divide subgenus or some part section to do could reason evolutionary trends. That is, at seed dispersal, the awns of section Geranium of subgenus Geranium, ramains attached at the top of rostrum, though fairy easily broken off, because seed increases awn's elasticity by diffusive way, it is long characteristic seed\`s dispersal distance, and subgenus Robertium observed that seed dispersal distance is short because it is no awn's elasticity by way that seed dispersal is gone as awn drops with rostrum. Also, section Geranium of subgenus Geranium and subgenus Robertium act role that awn keeps temporarily breed swerving with mericarp instead of bristle because section Tuberosa of subgenus Geranium is not bristled function that keep temporarily breed because mericarp bristled on base at seed dispersal do while. Therefore, is thought that is talon that when consider formation's development and function regarding this seed dispersal function, subgenus Geraniuum evolves more than subgenus Robertium. Seed morphology can divide by 2 subgenera(Geranium, Robertium) according to pattern of seed coat. and Seed's morphology characteristic(whole shape, color, form of seed apical and base, micropyle area, hilum area, chalaza, and position of seed hilum area), can distinguish some species, but is thought that is not reasonable as for discernment characteristic form and nature by repetition of characteristic form and nature. Especially, infrasection do in fruit and seed's morphology that is handling in this research that know to argue classification system and relationship by repetition of characteristic form and nature difficult. To all reliable truth, cytological, ecological, embryology, and molecular genetics research about talon is considered that should be achieved section Geranium that do not handle yet.

Stochastic analysis of external and parametric dynamical systems under sub-Gaussian Levy white-noise

  • Di Paola, Mario;Pirrotta, Antonina;Zingales, Massimiliano
    • Structural Engineering and Mechanics
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    • v.28 no.4
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    • pp.373-386
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    • 2008
  • In this study stochastic analysis of non-linear dynamical systems under ${\alpha}$-stable, multiplicative white noise has been conducted. The analysis has dealt with a special class of ${\alpha}$-stable stochastic processes namely sub-Gaussian white noises. In this setting the governing equation either of the probability density function or of the characteristic function of the dynamical response may be obtained considering the dynamical system forced by a Gaussian white noise with an uncertain factor with ${\alpha}/2$- stable distribution. This consideration yields the probability density function or the characteristic function of the response by means of a simple integral involving the probability density function of the system under Gaussian white noise and the probability density function of the ${\alpha}/2$-stable random parameter. Some numerical applications have been reported assessing the reliability of the proposed formulation. Moreover a proper way to perform digital simulation of the sub-Gaussian ${\alpha}$-stable random process preventing dynamical systems from numerical overflows has been reported and discussed in detail.

An Improved Function Synthesis Algorithm Using Genetic Programming (유전적 프로그램을 이용한 함수 합성 알고리즘의 개선)

  • Jung, Nam-Chae
    • Journal of the Institute of Convergence Signal Processing
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    • v.11 no.1
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    • pp.80-87
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    • 2010
  • The method of function synthesis is essential when we control the systems not known their characteristic, by predicting the function to satisfy a relation between input and output from the given pairs of input-output data. In general the most systems operate non-linearly, it is easy to come about problem is composed with combinations of parameter, constant, condition, and so on. Genetic programming is proposed by one of function synthesis methods. This is a search method of function tree to satisfy a relation between input and output, with appling genetic operation to function tree to convert function into tree structure. In this paper, we indicate problems of a function synthesis method by an existing genetic programming propose four type of new improved method. In other words, there are control of function tree growth, selection of local search method for early convergence, effective elimination of redundancy in function tree, and utilization of problem characteristic of object, for preventing function from complicating when the function tree is searched. In case of this improved method, we confirmed to obtain superior structure to function synthesis method by an existing genetic programming in a short period of time by means of computer simulation for the two-spirals problem.