• 제목/요약/키워드: degree theory

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ONE-DIMENSIONAL JUMPING PROBLEM INVOLVING p-LAPLACIAN

  • Jung, Tacksun;Choi, Q-Heing
    • Korean Journal of Mathematics
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    • 제26권4호
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    • pp.683-700
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    • 2018
  • We get one theorem which shows existence of solutions for one-dimensional jumping problem involving p-Laplacian and Dirichlet boundary condition. This theorem is that there exists at least one solution when nonlinearities crossing finite number of eigenvalues, exactly one solutions and no solution depending on the source term. We obtain these results by the eigenvalues and the corresponding normalized eigenfunctions of the p-Laplacian eigenvalue problem when 1 < p < ${\infty}$, variational reduction method and Leray-Schauder degree theory when $2{\leq}$ p < ${\infty}$.

소비자의 신념편향에 대한 도피이론적 접근 (Escape Theory Approach to Consumers' Belief Biases)

  • 한웅희
    • 한국콘텐츠학회논문지
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    • 제14권11호
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    • pp.411-421
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    • 2014
  • 본 연구는 우울함이나 부정적 자아인식 등과 같은 부정적 감정으로부터 벗어나기 위해 소비자들이 사용하는 인지적 협소화가 인지적 편향의 발생에 미치는 영향을 도피이론적 관점에서 탐구하고자 한다. 즉, 부정적 감정의 극복을 위한 도피수단의 하나로 사용되는 인지적 협소화는 행동의 장기적인 결과에 대해 고려하지 못하게 하거나 규제로부터 벗어나게 하는 것뿐만 아니라 과장되고 비현실적인 사고를 촉진하는 것으로 알려져 있는데, 본 연구는 여기서 더 나아가 이러한 인지적 협소화가 이성적이고 합리적인 방식에서 벗어나는 인지적 오류, 특히 신념편향을 발생시킬 것으로 예상하여 이에 대한 실증적 탐구를 진행하였다. 연구결과, 인지적 협소화의 수준에 따라 신념편향의 발생수준이 달라지는 것으로 나타났다. 이러한 결과를 바탕으로 시사점과 향후 연구방향이 논의되고 제시되었다.

흡연 대학생의 목표달성방법 합의가 금연목표달성에 미치는 효과 (Effect of an Agreement on Means to Achieve Smoking Cessation Goals among College Student Smokers)

  • 최인희
    • 대한간호학회지
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    • 제35권7호
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    • pp.1362-1370
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    • 2005
  • Purpose: The purpose of this study was to identify the degree of attaining a smoking cessation goal when an agreement on means to achieve smoking cessation among male college student smokers was established. Method: This study was planned as a nonequivalent control group non-synchronized design and the sample was divided into an agreement group and a comparison group by convenience sampling in a college of G city. The data was analysed with SPSS Win10.0 using a Likelihood $x^2-test$, Odds ratio, Paired t-test and ANCOVA. Result: The theory that the degree of smoking cessation will be higher in the agreement group than the Comparison group was rejected (${\delta}$ = 2.567, p = .055). The theory that nicotine dependency will be lower in the agreement group than the comparison group was supported (F = 3.965, P = .049); however, the theory that the number of cigarettes smoked per day will be lower in the agreement group than the comparison group was rejected (F = 1.342, p = .252). Conclusion: It has been shown that an agreement on means to achieve smoking cessation goals is a key factor to success in quitting smoking.

라그랑주의 방정식론 (Lagrange and Polynomial Equations)

  • 고영미;이상욱
    • 한국수학사학회지
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    • 제27권3호
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    • pp.165-182
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    • 2014
  • After algebraic expressions for the roots of 3rd and 4th degree polynomial equations were given in the mid 16th century, seeking such a formula for the 5th and greater degree equations had been one main problem for algebraists for almost 200 years. Lagrange made careful and thorough investigation of various solving methods for equations with the purpose of finding a principle which could be applicable to general equations. In the process of doing this, he found a relation between the roots of the original equation and its auxiliary equation using permutations of the roots. Lagrange's ingenious idea of using permutations of roots of the original equation is regarded as the key factor of the Abel's proof of unsolvability by radicals of general 5th degree equations and of Galois' theory as well. This paper intends to examine Lagrange's contribution in the theory of polynomial equations, providing a detailed analysis of various solving methods of Lagrange and others before him.

Finding Informative Genes From Microarray Gene Expression Data Using FIGER-test

  • Choi, Kyoung-Oak;Chung, Hwan-Mook
    • 한국지능시스템학회논문지
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    • 제17권5호
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    • pp.707-711
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    • 2007
  • Microarray gene expression data is believed to show the functions of living organism through the gene expression values. We have studied a method to get the informative genes from the microarray gene expression data. There are several ways for this. In recent researches to get more sophisticated and detailed results, it has used the intelligence information theory like fuzzy theory. Some methods are to add fudge factors to the significance test for more refined results. In this paper, we suggest a method to get informative genes from microarray gene expression data. We combined the difference of means between two groups and the fuzzy membership degree which reflects the variance of the gene expression data. We have called our significance test the Fuzzy Information method for Gene Expression data(FIGER). The FIGER calculates FIGER variation ratio and FIGER membership degree to show how strongly each object belongs to the each group and then it results in the significance degree of each gene. The FIGER is focused on the variation and distribution of the data set to adjust the significance level. Out simulation shows that the FIGER-test is an effective and useful significance test.

Theoretical analysis of Y-shape bridge and application

  • Lu, Peng-Zhen;Zhang, Jun-Ping;Zhao, Ren-Da;Huang, Hai-Yun
    • Structural Engineering and Mechanics
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    • 제31권2호
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    • pp.137-152
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    • 2009
  • Mechanic behavior of Y-shape thin-walled box girder bridge structure is complex, so one can not exactly hold the mechanical behavior of the Y-shape thin-walled box girder bridge structure through general calculation theory and analytical method. To hold the mechanical behavior better, based on elementary beam theory, by increasing the degree of freedom analytical method, taking account of restrained torsiondistortion angledistortion warp and shearing lag effect at the same time, authors obtain a thin-walled box beam analytical element of 10 degrees of freedom of every node, derive stiffness matrix of the element, and code a finite element procedure. In addition, authors combine the obtained procedure with spatial grillage analytical method, meanwhile, they build a new analytical method that is the spatial thin-walled box girder element grillage analysis method. In order to validate the precision of the obtained analysis method, authors analyze a type Y-shape thin-walled box girder bridge structure according to the elementary beam theory analytical method, the shell theory analytical method and the spatial thin-walled box girder element grillage analysis method respectively. At last, authors test a type Y-shape thin-walled box girder bridge structure. Comparisons of the results of theory analysis with the experimental text show that the spatial thin-walled box girder element grillage analysis method is simple and exact. The research results are helpful for the knowledge of the mechanics property of these Y-shape thin-walled box girder bridge structures.

Effect of Education on Knowledge, Attitude and Behavioral Intention in Family Relative with Colorectal Cancer Patients Based on Theory of Planned Behavior

  • Baghianimoghadam, Mohammad Hosein;Ardakani, Mojtaba Fattahi;Akhoundi, Mohsen;Mortazavizadeh, Mohammad Reza;Fallahzadeh, Mohammad Hosein;Baghianimoghadam, Behnam
    • Asian Pacific Journal of Cancer Prevention
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    • 제13권12호
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    • pp.5995-5998
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    • 2012
  • Background: Colorectal cancer is one of most common cancers in women and men and one of the major causes of death due to neoplasia. Colonoscopy is considered as the most accurate diagnostic procedure to detect colorectal cancer at the earlier stages. Objectives: The current study aimed to evaluate the effects of an education program using the Theory of Planned Behavior on promoting behavioral intention among first degree relatives of colorectal cancer patients. Materials and Methods: A quasi-experimental study conducted to evaluate the effectiveness of an educational program to promote attitudinal factors associated with early detection of colorectal cancer in 99 first degree relatives of colorectal cancer patients aged more than 20 years in Yazd city, Iran. A researcher made questionnaire forwhich validity and reliability were confirmed by expert point of view and pilot testing was employed for data collection. Questionnaires were filled in before and after educational intervention. The registered data were transferred to SPSS 19 and analyzed by paired T-test, Man-Whitney and Wilcaxon. Results: Mean scores of knowledge, attitude, perceived behavioral control and intention regarding colorectal cancer increased after education significantly (P<0.05). Conclusions: Application of the Theory of Planned Behavior has positive influence on promoting intention behavior. It is therefore recommended to apply educational programs to promote behavioral intention.

피지이론과 바이오피드백을 이용한 주정중독증 환자의 긴장도 평가 (Estimation of Tension Status for Alcohol Dependent Patients using Biofeedback Training and Fuzzy Theory)

  • 성홍모;시재우;윤영로;윤형로;박진한;신정호
    • 대한의용생체공학회:의공학회지
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    • 제20권2호
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    • pp.191-198
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    • 1999
  • 바이오피드백은 혈압 심박율, 말초체온, 호흡, 근전도 등과 같이 자율신경에 의해 지배받는 신체 기능들을 훈련을 통해 스스로 조절할 수 있게 하여 자율신경의 이상으로 인한 여러 가지 질병들을 치료할 수 있게 하는 방법이다. 븐 논문에서는 주정중독증 환자들을 대상으로 바이오피드백 훈련을 실시할 수 있도록 근전도, 호흡, 맥파, 말초체온, 피부전기전도도 등 다섯 가지 신호를 측정할 수 있는 바이오피드백 시스템을 개발하였다. 개발된 시스템을 이용해 주정중독증 환자들을 대상으로 바이오피드백 훈련을 실시하였다 이완 바이오피드백 훈련을 실행하였으며 생체신호변화에 대해 퍼지이론을 적용하여 긴장상태를 판단하였다. 8명의 주정중독증 환자들이 실험에 참가하였으며 측정된 데이터를 분석한 결과는 다음과 같다. 1) 환자 군은 일반인에 비해서 높은 긴장도 값을 보였다. 2) 환자들의 긴장도 값은 훈련 회수가 증가함에 따라 감소하는 추세를 보였다.

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INNOVATION OF SOME RANDOM FIELDS

  • Si, Si
    • 대한수학회지
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    • 제35권3호
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    • pp.793-802
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    • 1998
  • We apply the generalization of Levy's infinitesimal equation $\delta$X(t) = $\psi$(X(s), s $\leq$ t, $Y_{t}$, t, dt), $t\in R^1$, for a random field X (C) indexed by a contour C or by a more general set. Assume that the X(C) is homogeneous in x, say of degree n, then we can appeal to the classical theory of variational calculus and to the modern theory of white noise analysis in order to discuss the innovation for the X (C.)

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MIXED MULTIPLICITIES OF MAXIMAL DEGREES

  • Thanh, Truong Thi Hong;Viet, Duong Quoc
    • 대한수학회지
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    • 제55권3호
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    • pp.605-622
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    • 2018
  • The original mixed multiplicity theory considered the class of mixed multiplicities concerning the terms of highest total degree in the Hilbert polynomial. This paper defines a broader class of mixed multiplicities that concern the maximal terms in this polynomial, and gives many results, which are not only general but also more natural than many results in the original mixed multiplicity theory.