• Title/Summary/Keyword: closure operator

Search Result 35, Processing Time 0.023 seconds

Quantitative Measurement of Frustration for Multitasking Environment (다중작업 환경에서 좌절감의 정량적 측정방법)

  • Jeong, Sungoo;Myung, Rohae
    • Journal of Korean Institute of Industrial Engineers
    • /
    • v.43 no.3
    • /
    • pp.176-183
    • /
    • 2017
  • In recent years, studies about multitasking becomes more important. During multitasking, operators can feel frustration when they are interrupted during the task and frustration can affect operator's emotional state and performance. However there is no research on measuring the frustration quantitatively in multitasking environment. In this paper, we suggested quantitative measurement of frustration during multitasking. In order to measure the frustration, we made a mathematical representation with emotional decay model and the initial intensity of frustration based on cognitive closure theory. The amount of initial intensity could be represented as the ratio of actual remaining time to expected remaining time. By the experiment, we measured the frustration during the experiment and compared this values with values of frustration dimension of NASA-TLX. Finally we got the linear regression model with a good accuracy ($R^2=0.986$). This study contributes to measuring the emotion quantitatively by the relation of expected and actual remaining time in multitasking environment.

Prediction of Stratified Turbulent Channel Flows with an Second Moment Model Using the Elliptic Equations (타원 방정식을 사용하는 2차모멘트 모형에 의한 성층된 난류 평판유동의 예측)

  • Shin, Jong-Keun
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
    • /
    • v.19 no.12
    • /
    • pp.831-841
    • /
    • 2007
  • This work is to extend the elliptic operator, which has been already adopted in turbulent stress model, to fully developed turbulent buoyant channel flows with changing the orientation of the buoyancy vector to be perpendicular to the channel walls. The turbulent heat flux models based on the elliptic concept are employed and closely linked to the elliptic blending second moment closure which is used for the prediction of Reynolds stresses. In order to reflect the stable or unstable stratification conditions, the present model introduces the gradient Richardson number into the thermal to mechanical time scale ratio and model coefficients. The present model has been applied for the computation of stably and unstably stratified turbulent channel flows and the prediction results are directly compared to the DNS data.

AN ERROR ANALYSIS OF THE DISCRETE GALERKIN SCHEME FOR NONLINEAR INTEGRAL EQUATIONS

  • YOUNG-HEE KIM;MAN-SUK SONG
    • Communications of the Korean Mathematical Society
    • /
    • v.9 no.2
    • /
    • pp.423-438
    • /
    • 1994
  • We employ the Galerkin method to solve the nonlinear Urysohn integral equation (1.1) x(t) = f(t) + $∫_{D}$ k(t, s, x(s))ds (t $\in$ D), where D is a bounded domain in $R^{d}$ , the function f and k are known and x is the solution to be determined. We assume that D has a locally Lipschitz boundary ([1, p. 67]). We can rewrite (1.1) in operator notation as x = f + Kx. We consider (1.1) as an operator equation on $L_{\infty$}$(D) and assume that K is defined on the closure $\Omega$ of a bounded open set $\Omega$$L_{\infty}$(D). Throughout our analysis we put the following assumptions on (1.1).(omitted)(1.1).(omitted)

  • PDF

FILTERS OF BE-ALGEBRAS WITH RESPECT TO A CONGRUENCE

  • RAO, M. SAMBASIVA
    • Journal of applied mathematics & informatics
    • /
    • v.34 no.1_2
    • /
    • pp.1-7
    • /
    • 2016
  • Some properties of filters are studied with respect to a congru-ence of BE-algebras. The notion of θ-filters is introduced and these classes of filters are then characterized in terms of congruence classes. A bijection is obtained between the set of all θ-filters of a BE-algebra and the set of all filters of the respective BE-algebra of congruences classes.

ON THE BOUNDARY VALUE PROBLEMS FOR LOADED DIFFERENTIAL EQUATIONS

  • Dzhenaliev, Muvasharkhan T.
    • Journal of the Korean Mathematical Society
    • /
    • v.37 no.6
    • /
    • pp.1031-1042
    • /
    • 2000
  • The equations prescribed in Ω⊂R(sup)n are called loaded, if they contain some operations of the traces of desired solution on manifolds (of dimension which is strongly less than n) from closure Ω. These equations result from approximations of nonlinear equations by linear ones, in the problems of optimal control when the control when the control actions depends on a part of independent variables, in investigations of the inverse problems and so on. In present work we study the nonlocal boundary value problems for first-order loaded differential operator equations. Criterion of unique solvability is established. We illustrate the obtained results by examples.

  • PDF

SEPARATION AXIOMS ON BI-GENERALIZED TOPOLOGICAL SPACES

  • Ray, A. Deb;Bhowmick, Rakesh
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.27 no.3
    • /
    • pp.363-379
    • /
    • 2014
  • In this paper, introducing various separation axioms on a bi-GTS, it has been observed that such separation axioms actually unify the well-known separation axioms on topological spaces. Several characterizations of such separation properties of a bi-GTS are established in terms of ${\gamma}_{{\mu}_i,{\mu}_j}$-closure operator, generalized cluster sets of functions and graph of functions.

A NEW SUBCLASS OF MEROMORPHIC FUNCTIONS ASSOCIATED WITH BESSEL FUNCTIONS

  • SUJATHA;B. VENKATESWARLU;P. THIRUPATHI REDDY;S. SRIDEVI
    • Journal of applied mathematics & informatics
    • /
    • v.41 no.5
    • /
    • pp.907-921
    • /
    • 2023
  • In this article, we are presenting and examining a subclass of Meromorphic univalent functions as stated by the Bessel function. We get disparities in terms of coefficients, properties of distortion, closure theorems, Hadamard product. Finally, for the class Σ*(℘, ℓ, ℏ, τ, c), we obtain integral transformations.

A study on improving the accuracy of machine learning models through the use of non-financial information in predicting the Closure of operator using electronic payment service (전자결제서비스 이용 사업자 폐업 예측에서 비재무정보 활용을 통한 머신러닝 모델의 정확도 향상에 관한 연구)

  • Hyunjeong Gong;Eugene Hwang;Sunghyuk Park
    • Journal of Intelligence and Information Systems
    • /
    • v.29 no.3
    • /
    • pp.361-381
    • /
    • 2023
  • Research on corporate bankruptcy prediction has been focused on financial information. Since the company's financial information is updated quarterly, there is a problem that timeliness is insufficient in predicting the possibility of a company's business closure in real time. Evaluated companies that want to improve this need a method of judging the soundness of a company that uses information other than financial information to judge the soundness of a target company. To this end, as information technology has made it easier to collect non-financial information about companies, research has been conducted to apply additional variables and various methodologies other than financial information to predict corporate bankruptcy. It has become an important research task to determine whether it has an effect. In this study, we examined the impact of electronic payment-related information, which constitutes non-financial information, when predicting the closure of business operators using electronic payment service and examined the difference in closure prediction accuracy according to the combination of financial and non-financial information. Specifically, three research models consisting of a financial information model, a non-financial information model, and a combined model were designed, and the closure prediction accuracy was confirmed with six algorithms including the Multi Layer Perceptron (MLP) algorithm. The model combining financial and non-financial information showed the highest prediction accuracy, followed by the non-financial information model and the financial information model in order. As for the prediction accuracy of business closure by algorithm, XGBoost showed the highest prediction accuracy among the six algorithms. As a result of examining the relative importance of a total of 87 variables used to predict business closure, it was confirmed that more than 70% of the top 20 variables that had a significant impact on the prediction of business closure were non-financial information. Through this, it was confirmed that electronic payment-related information of non-financial information is an important variable in predicting business closure, and the possibility of using non-financial information as an alternative to financial information was also examined. Based on this study, the importance of collecting and utilizing non-financial information as information that can predict business closure is recognized, and a plan to utilize it for corporate decision-making is also proposed.

ON A SUBCLASS OF CERTAIN STARLIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS

  • Kamali, Muhammet;Orhan, Halit
    • Bulletin of the Korean Mathematical Society
    • /
    • v.41 no.1
    • /
    • pp.53-71
    • /
    • 2004
  • A certain subclass $T_{\Omega}(n,\;p,\;\lambda,\;\alpha)$ of starlike functions in the unit disk is introduced. The object of the present paper is to derive several interesting properties of functions belonging to the class $T_{\Omega}(n,\;p,\;\lambda,\;\alpha)$. Coefficient inequalities, distortion theorems and closure theorems of functions belonging to the class $T_{\Omega}(n,\;p,\;\lambda,\;\alpha)$ are determined. Also we obtain radii of convexity for the class $T_{\Omega}(n,\;p,\;\lambda,\;\alpha)$. Furthermore, integral operators and modified Hadamard products of several functions belonging to the class $T_{\Omega}(n,\;p,\;\lambda,\;\alpha)$ are studied here.