• Title/Summary/Keyword: State variables

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Studying The Topic Of The Function Extremum Of Two Variables In The Conditions Of Remote Learning And Application Of Digital Technologies

  • Krupskyi Yaroslav;Tiytiynnyk Oksana;Kosovets Olena;Soia Olena
    • International Journal of Computer Science & Network Security
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    • v.24 no.1
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    • pp.1-8
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    • 2024
  • In contemporary education, the rapid advancement of digital technologies elevates demands for integrating the latest tools into the learning process. Mathematical analysis, as a discipline, benefits from computer mathematics in distance education, enhancing practical aspects and enabling individualized learning. This article addresses the integration of the Maple computer mathematics system into higher education, specifically in teaching "Mathematical Analysis." Emphasizing its role in distance learning, computer mathematics optimizes the educational environment, reducing the time required for knowledge acquisition. The article showcases the application of Maple in finding extremum points and introduces an educational software simulator, enabling students to practice the method. The simulator, developed within Maple, facilitates self-checking and enhances the study of functions. Conclusions drawn from the study highlight the positive impact of these tools on distance education, affirming Maple's role in enhancing professional training and information culture among higher education students.

A Study on Factors Influencing The State of Adaptation of The Hemiplegic Patients (편마비 환자의 퇴원후 적응상태와 관련요인에 대한 분석적 연구)

  • 서문자
    • Journal of Korean Academy of Nursing
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    • v.20 no.1
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    • pp.88-117
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    • 1990
  • The purposes of this study are to delineate a profile of the state of a stroke patient's adaptation at 3 months after hospitalization and to explore the relationship between the level of adaptation and the variables which influence the adaptation of hemiplegic patients. To these ends, theoretical framework was derived basically from the stress adaptation model. The basic assumption underlying the level of adaptation is influenced by the presenting focal, contextual and residual stimuli. This group of stimuli is further operationalized and represented by a perception of stress. which is the perceived effect of the disability and by the mediating variables such as sociodemographic factors as an external conditioning variables and perceived social support and hardiness personality characteristics as an internal intervening variables. The dependent varibales in this study is the level of physical, psychological and social adaptation and is hypothesized to be a function of the interaction between 3 sets of variables namely, the perceived disability effect, external conditioning variables and internal intevening varibles. A total of fourty three subjects from 3 general hospitals in Seoul were observed and interviewed with the aid of 7 structured instruments. The data were collected twice on each subject : first at the pre-discharge period arid at 3 months post-discharge from hospital for the second time. The study was carried out for the period from February to August, 1988. The instruments used for the study include 4 existing scales and 3 scales developed by the researcher for this study. They are : 1) The ADL dependency scale and the scale of the clinical physical functions for the assessment of physical adaptation. 2) the SDS(self report of depression) to measure the level of psychological adaptation. 3) The scale for the amount of social activities for the measurement of the level of social adaptation. 4) The scale for the perceived effect of disability for the measurement of the focal stimuli. 5) The health related hardiness scale and the perceived interpersonal support self evaluation list(ISEL) for the measurement of the hardiness personality character and the perceived social support. The data obtained were analyzed using percentage, oneway ANOVA, Pearson coefficients correlation and stepwise multiple regression. The findings provide valuable information about the present level of physical adaptation at 3 months after discharge. The patient revealed a decreased ADL dependency and lowered limitation of physical function as compared with pre - discharge state. Psycholcgically, the average degree of depression at follow up was within normal range of depression. Socially, the amount of social activities was very low. The one way ANOVA and the correlational analysis revealed the relationship between the 3 sets of variables and the adaptation level as follows : 1) The perceived disability effect was related to the degree of the depression and the amount of social activities but was not related to the physical adaptation. 2) Among the sociodemographic variables, sex and education were related to the difference of ADL dependency and the change of physical function. These factors indicate that women more than men and educated more than the less educated were found more independent. The education was also related to the degree of depression suggesting that the higher the educational level, the more well adapted the patients were both physically and psychologically. Age, marital status and job state were not found to be related to the patient's adaptation level. 3) Among the internal intervening variables, the health related hardiness characteristic was related to the differences of ADL dependency, physical functions and the social activities, indicating that the higher the hardiness character the higher the level of physical and social adaptation. 4) The perceived social support, another internal intervening variable, was related to the degree of depression and the social activities. This data suggest that the higher the perception of social support, the better adapted the patients were psychogically and socially. In summarizing the results of the correlational analysis, the level of physical adaptation was influenced by sex, the years of education and the hardiness character. The level of psychological adaptation was influenced by the years of education, the perceived disability effect and the perceived social support. And the level of social adaptation was influenced by the perceived disability effect, the hardiness character and the perceived social support. The stepwise multiple regression analysis shows findings as follows : 1) The most important factor to explain the difference of ADL dependency was sex, indicating females were more independent than males. 2) The most important factor to explain the difference of physical function and the degree of depression was the patient's education level. 3) The strongest explaining factor for the amount of social activities was perceived self esteem(one of the subconcepts of perceived social support). Thus the most important factors influencing the level of adaptation were found to be sex, education, the hardiness character and self esteem. From the above findings, the significance of this study can be delineated as follows : 1) Corroboration of the assumed relationship between the various variables and the adaptation level as suggested in the conceptual model. 2) Support for the feasibility of the cognitive approach for nursing intervention such as hardness character training, counselling and teaching for self-care in the chronic patients.

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Derivative State Constrained Optimal $H_{2}$ Integral Controller and its Application to Crane System

  • Komine, Noriyuki;Benjanarasuth, Taworn;Ngamwiwit, Jongkol
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.2076-2080
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    • 2005
  • Study in this paper concerns the optimal $H_{2}$ integral servo problems for linear crane model systems via the constraints of the derivatives of state variables added to the standard constraints. It is shown in the paper that the derivative state constrained optimal $H_{2}$ integral servo problems can be reduced to the standard optimal $H_{2}$ control problem. The main subject of the paper is to apply the results of derivative state constrained $H_{2}$ integral servo theorem in crane system. The effect of our proposed controller with respect to mitigate an under damping for crane model system is also verified.

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SOC Sustaining Strategy for HEV through State-machine Control (하이브리드 차량의 SOC 유지전략 방법)

  • Byun, Sang-Min;Kim, Beom-Soo;Cha, Suk-Won
    • New & Renewable Energy
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    • v.4 no.4
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    • pp.65-71
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    • 2008
  • Considering the world's environmental problem, HEVs are projected as one of the solution. The keys of the HEV cruise control are expanding the use of electric motor and operating the internal combustion engine in the efficient region. This paper presents a new structure of SOC sustaining model where state-machine control is used. The proposed model defines battery charging and discharging as states and SOC of the battery as control variables. In this paper, we introduce various methods in deterministic rule-based control for HEV and describe a new SOC sustaining controller used by state-machine.

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Robust and Non-fragile $H^{i~}$ State Feedback Controller Design for Time Delay Systems

  • Cho, Sang-Hyun;Kim, Ki-Tae;Park, Hong-Bae
    • International Journal of Control, Automation, and Systems
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    • v.1 no.4
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    • pp.503-510
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    • 2003
  • This paper describes the synthesis of robust and non-fragile $H^{i~}$state feedback controllers for linear varying systems with time delay and affine parameter uncertainties, as well as static state feedback controller with structural uncertainty. The sufficient condition of controller existence, the design method of robust and non-fragile $H^{i~}$static state feedback controller, and the region of controllers satisfying non-fragility are presented. Also, using some change of variables and Schur complements, the obtained conditions can be rewritten as parameterized Linear Matrix Inequalities (PLMIs), that is, LMIs whose coefficients are functions of a parameter confined to a compact set. We show that the resulting controller guarantees the asymptotic stability and disturbance attenuation of the closed loop system in spite of time delay and controller gain variations within a resulted polytopic region.

A Study on the Stress and Adjustment to College Life among Nursing Students (간호대학생의 대학생활스트레스와 대학생활적응)

  • Yoo, Kyung Hee
    • The Journal of Korean Academic Society of Nursing Education
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    • v.24 no.3
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    • pp.269-278
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    • 2018
  • Purpose: This study was conducted to investigate the correlation between stress and adjustment to college life among nursing students. Methods: The sample consisted of 183 university students in C & S cities. Self-report questionnaires were used to measure the variables. In data analysis, SPSSWIN 23.0 program was utilized for descriptive statistics, Pearson's correlation coefficients, and regression analysis. Results: The mean scores of stress and adjustment to college life were 2.55 and 3.24. Stress was significantly different according to grade (F=7.30, p<.001), economic state (F=14.39, p<.001), perceived health state (F=6.66, p<.001). In regression analysis, stress for college life, perceived health state, and college life satisfaction were significant predictors of adjustment to college life explaining 68%. Conclusion: This study suggests that perceived health state was a significant factor on adjustment to college life among nursing students. Therefore, the strategies of nursing intervention which improve perceived health state must be developed for college students.

A Study on the Expenditure State of Midlife Households for Elderly Life지s Preparation (중년기가계의 노후대비 지출실태에 관한 연구)

  • 송혜림
    • Journal of Family Resource Management and Policy Review
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    • v.2 no.1
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    • pp.133-149
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    • 1998
  • The purpose of this study was to analyze the expenditure state of midlife households for elderly life stage and to find out the variables that have influence upon these expenditure. The findings are follows: 1) The expenditure state was influenced by various as like wife’s age, couple’s education, number of children, husband’s retiring allowance, monthly savings, whole assets of households, level of dependence upon own children, etc. 2) The demand for economic preparation, program about elderly life, information and welfare system was related to the practical expenditure state absolutely and relatevely. The result showed that the husbands’retiring allowance was the most effective variable to the expenditure state for the elderly life. In conclusion the rational distribution of economics resources according to the family life stage is very important for the economic welfare of households.

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A state space meshless method for the 3D analysis of FGM axisymmetric circular plates

  • Wu, Chih-Ping;Liu, Yan-Cheng
    • Steel and Composite Structures
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    • v.22 no.1
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    • pp.161-182
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    • 2016
  • A state space differential reproducing kernel (DRK) method is developed for the three-dimensional (3D) analysis of functionally graded material (FGM) axisymmetric circular plates with simply-supported and clamped edges. The strong formulation of this 3D elasticity axisymmetric problem is derived on the basis of the Reissner mixed variational theorem (RMVT), which consists of the Euler-Lagrange equations of this problem and its associated boundary conditions. The primary field variables are naturally independent of the circumferential coordinate, then interpolated in the radial coordinate using the early proposed DRK interpolation functions, and finally the state space equations of this problem are obtained, which represent a system of ordinary differential equations in the thickness coordinate. The state space DRK solutions can then be obtained by means of the transfer matrix method. The accuracy and convergence of this method are examined by comparing their solutions with the accurate ones available in the literature.

A Study of Multiple Dynamic Programming (Multiple dynamic programming에 관한 연구)

  • Young Moon park
    • 전기의세계
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    • v.21 no.1
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    • pp.13-16
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    • 1972
  • Dynamic Programming is regarded as a very powerful tool for solving nonlinear optimization problem subject to a number of constraints of state and control variables, but has definite disadvantages that it requires much more computing time and consumes much more memory spaces than other technigues. In order to eliminate the above-mentioned demerits, this paper suggests a news technique called Multiple Dynamic Programming. The underlying principles are based on the concept of multiple passes that, instead of forming fin lattices in time-state plane as adopted in the conventional Dynamic Programming, the Multiple Dynamic Programming constitutes, at the first pass, coarse lattices in the feasible domain of time-state plane and determines the optimal state trajectory by the usual method of Dynamic Programming, and at the second pass again constitutes finer lattices in the narrower domain surrounded by both the upperand lower edges next to the lattice edges through which the first pass optimal trajectory passes and determines the more accurate optimal trajectory of state, and then at the third pass repeats the same processes, and so on. The suggested technique insures remarkable curtailment in amounts of computer memory spaces and conputing time, and its applicability has been demonstrated by a case study on the hydro-thermal power coordination in Korean power system.

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