• 제목/요약/키워드: Linear relation

검색결과 1,181건 처리시간 0.034초

SHECHTER SPECTRA AND RELATIVELY DEMICOMPACT LINEAR RELATIONS

  • Ammar, Aymen;Fakhfakh, Slim;Jeribi, Aref
    • 대한수학회논문집
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    • 제35권2호
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    • pp.499-516
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    • 2020
  • In this paper, we denote by L the block matrix linear relation, acting on the Banach space X ⊕ Y, of the form ${\mathcal{L}}=\(\array{A&B\\C&D}\)$, where A, B, C and D are four linear relations with dense domains. We first try to determine the conditions under which a block matrix linear relation becomes a demicompact block matrix linear relation (see Theorems 4.1 and 4.2). Second we study Shechter spectra using demicompact linear relations and relatively demicompact linear relations (see Theorem 5.1).

중국-한국 육괴에서 진도-규모의 관계식 추정 (Intensity-Magnitude Relation in the Sino-Korean Craton)

  • 이기화;이전희
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2001년도 추계 학술발표회 논문집 Proceedings of EESK Conference-Fall 2001
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    • pp.3-10
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    • 2001
  • In order to establish the intensity-magnitude relation far the Korean earthquakes, those relations for the earthquakes in the Sino-Korean craton were estimated. In this process, earthquake data of northeastern China region whose geological environment is similar to Korea Peninsula were also utilized. These data were analyzed not only with linear fit, but also with non-linear fit. The fellowing relation, M=0.57 $\times$ 1$_{e}$ + 2.86, seems appropriate for the present, but its validity should be tested more in the future.e.

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학령기 아동이 지각한 가족 특성, 경험한 아동 학대와 정신 건강과의 관계 (An Analysis of Relations between Perceived Family Characteristics, Experienced Abuse and Mental Health in Childhood)

  • 김희걸
    • 지역사회간호학회지
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    • 제8권2호
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    • pp.289-303
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    • 1997
  • This study analyzes the relations between perceived family characteristics, experienced abuse and mental health in childhood. For this, this study used row data by questionnaire, analysis, and frequency, ANOVA, t - Test, Pearson' correlation analysis. The sample was 118 children 10-12 years old in primary school. The findings are as follows. First, children perceived family cohesion and family adaptability highly, family adaptability showed a significant difference from the relations with a parent's job, a parent's academic level, and type of residence. Second, it appeared that some children experienced physical, emotional, and sexual abuse. Third, in general the mental health of children was good. Their mental health showed a significant relation to economic level of family, and type of residence, creating problems such as depression, anxiety, phobic anxiety, psychoticism. By family size, their mental health showed a significant relation to somatization, interpersonal sensitivity, depression, hostility, phobic anxiety, paranoid ideation, and psychoticism, Fourth, family cohesion and mental health perceived by children supported a linear relation to phobic anxiety, and family adaptability and mental health perceived by children supported the reverse -linear relation to somatization, anxiety, paranoid ideation, etc. Fifth, connections with perceived abuse and mental health as well as emotional abuse and mental health were also supported. Further more, on somatization, interpersonal sensitivity, depression, hostility, phobic anxiety, paranoid ideation, psychoticism, etc, a reverse-linear re lation existed. Physical abuse supported a reverse-linear relation with interpersonal sensitivity, depression, paranoid ideation, etc. and sexual abuse supported a reverse-linear relation with depression. These findings suggest that school and family have to concern themselves with the mental health of children because experienced abuse and family characteristics do indeed affect the mental health of children.

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Fracture energy and tension softening relation for nano-modified concrete

  • Murthy, A. Ramachandra;Ganesh, P.;Kumar, S. Sundar;Iyer, Nagesh R.
    • Structural Engineering and Mechanics
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    • 제54권6호
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    • pp.1201-1216
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    • 2015
  • This paper presents the details of size independent fracture energy and bi-linear tension softening relation for nano modified high strength concrete. Nano silica in powder form has been used as partial replacement of cement by 2 wt%. Two popular methods, namely, simplified boundary effect method of Karihaloo et al. (2003) and RILEM (1985) fracture energy with P-${\delta}$ tail correction have been employed for estimation of size independent fracture energy for nano modified high strength concrete (compressive strength ranges from 55 MPa to 72 MPa). It is found that both the methods gave nearly same values, which is an additional evidence that either of them can be employed for determination of size independent fracture energy. Bi-linear tension softening relation corresponding to their size independent fracture energy has been constructed in an inverse manner based on the concept of non-linear hinge from the load-crack mouth opening plots of notched three-point bend beams.

Delamination analysis of multilayered beams with non-linear stress relaxation behavior

  • Victor I., Rizov
    • Coupled systems mechanics
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    • 제11권6호
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    • pp.543-556
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    • 2022
  • Delamination of multilayered inhomogeneous beam that exhibits non-linear relaxation behavior is analyzed in the present paper. The layers are inhomogeneous in the thickness direction. The dealamination crack is located symmetrically with respect to the mid-span. The relaxation is treated by applying a non-linear stress-straintime constitutive relation. The material properties which are involved in the constitutive relation are distributed continuously along the thickness direction of the layer. The delamination is analyzed by applying the J-integral approach. A time-dependent solution to the J-integral that accounts for the non-linear relaxation behavior is derived. The delamination is studied also in terms of the time-dependent strain energy release rate. The balance of the energy is analyzed in order to obtain a non-linear time-dependent solution to the strain energy release rate. The fact that the strain energy release rate is identical with the J-integral value proves the correctness of the non-linear solutions derived in the present paper. The variation of the J-integral value with time due to the non-linear relaxation behavior is evaluated by applying the solution derived.

Relation between Multidimensional Linear Interpolation and Regularization Networks

  • 엄경식;민병구
    • 한국지능시스템학회논문지
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    • 제7권3호
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    • pp.89-95
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    • 1997
  • This paper examines the relation between multidimensional linear interpolation (MDI) and regularization net-works, and shows that an MDI is a special form of regularization networks. For this purpose we propose a triangular basis function(TBF) network. Also we verified the condition when our proposed TBF becomes a well-known radial basis function (RBF).

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Relation between Multidimensional Linear Interpolation and Fuzzy Reasoning

  • 엄경식;민병구
    • 한국지능시스템학회논문지
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    • 제6권4호
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    • pp.34-38
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    • 1996
  • This paper examines the relation between multidimensional linear interpolation(MDI) and fuzzy reasoning, and shows that an MDI is a special form of Tsukamoto's fuzzy reasoning. From this result, we found new possibility of defuzzification strategy.

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플라즈마 가열용 대전력 미리파 장치 연구 (A Study of Plasma Heating High Voltage miliwave)

  • 김원섭;김종만
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2007년도 추계학술대회 논문집
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    • pp.522-522
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    • 2007
  • We observed new physical phenomia. The dispersion relation and the distributions of RF electric field in the corrugated wall waveguide are analyzed numerically. The measurement of the dispersion relation are obsered by a plunger method employed in the slow wave structure for linear accelerators.

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일차방정식의 풀이 과정에 나타난 유형에 관한 연구 - 중학교 1학년을 중심으로 - (A study on patterns shown in the process of solving a linear equation - Centering around the first grade of middle school -)

  • 서종진
    • 한국학교수학회논문집
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    • 제12권2호
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    • pp.281-308
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    • 2009
  • 일차방정식의 해결 과정에서 어떤 문항은 등호('=')관계를 올바르게 표현하고, 다른 문항은 등호('=')관계를 올바르게 표현하지 못한 것으로 나타났다. 학생들이 등호('=') 관계를 올바르게 표현할 수 있는지, 표현할 수 없는지는 문항에 따라 그 반응이 다르게 나타나므로 여러 문항에 대한 테스트를 한 후에 비교 분석하여 학습지도 방향을 설정하고, 교수 학습지도가 이루어져야 할 것이다. 일차방정식의 풀이 방법이 제시되지 않은 문항에서 방정식의 해를 구한 대부분의 학생들은 이항을 사용하여 해결 하였다. 등식의 성질을 사용하여 해결하라는 문항에서도 등식의 성질을 사용하여 해결하기 보다는 이항을 사용하여 해결한 학생들이 대부분 이었다. 등식의 성질과 이항을 모두 사용하여 방정식을 해결할 수 있도록 교수 학습이 이루어져야 할 것이다.

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비선형 주성분해석과 신경망에 기반한 비선형 PLS (Non-linear PLS based on non-linear principal component analysis and neural network)

  • 손정현;정신호;송상옥;윤인섭
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.394-394
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    • 2000
  • This Paper proposes a new nonlinear partial least square method that extends the linear PLS. Proposed nonlinear PLS uses self-organizing feature map as PLS outer relation and multilayer neural network as PLS inner regression method.

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