• Title/Summary/Keyword: gap theorem

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A COMPARISON THEOREM OF THE EIGENVALUE GAP FOR ONE-DIMENSIONAL BARRIER POTENTIALS

  • Hyun, Jung-Soon
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.2
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    • pp.353-360
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    • 2000
  • The fundamental gap between the lowest two Dirich-let eigenvalues for a Schr dinger operator HR={{{{ { { d}^{2 } } over { { dx}^{2 } } }}}}+V(x) on L({{{{ LEFT | -R,R RIGHT | }}}}) is compared with the gap for a same operator Hs with a different domain {{{{ LEFT [ -S,S RIGHT ] }}}} and the difference is exponentially small when the potential has a large barrier.

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A New Measurement Method of Dielectric Constants Applied the Principles of Cross Capacitance (Cross Capacitance 원리를 작용한 새로운 유전상수 측정방법 제안)

  • Kim, Han-Jun;Lee, Rae-Duk;Kang, Jeon-Hong;Yu, Kwang-Min;Han, Sang-Ok
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2002.07b
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    • pp.1084-1087
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    • 2002
  • The guard-ring type 3-terminal parallel plate electrodes proposed by ASTM D 150-81 and IEC 250 have been widely used for measurement of dielectric constants of solid dielectrics. However the method using this electrodes causes many uncertainty associated with the measurement errors of the diameter of the guarded electrode. the gap between guarded and guard-ring electrode. the distance of two active electrodes(the thickness of specimen), the roughness and contamination of surface of electrode and specimen. close adherence grade of electrode and specimen. In this paper. a new electrode system of cross capacitance type based on Thompson-Lampard theorem is designed and is employed for the measurement of dielectric constant. The results of simulation of guard-ring electrode and cross capacitance electrode using FEM program show that distance measurement between two electrodes in guard-ring electrode produces large uncertainty. on the other hand this effect in cross capacitance electrode is negligible. Furthermore. the air gap effects in the cross capacitance electrode is 5.6 times less sensitive than that in guard-ring electrode by assuming air gap of $50{\mu}m$.

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Dental Occlusion and Relationship to TMD and Systemic Symptoms (III) -Chirodontics, Dental Distress Syndrome(DDS), Quadrant Theorem- (교합이 악구강계 및 전신에 미치는 영향 (III) -카이로돈틱과 치아 스트레스 원인 증후군 및 Quadrant Theorem을 중심으로-)

  • Park, Eun-Jin;Choi, Byeong-Gap;Bae, Hanna Eun-Kyong
    • Journal of Dental Rehabilitation and Applied Science
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    • v.26 no.2
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    • pp.89-95
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    • 2010
  • This is the third series of article on dental occlusion and relationship to TMD and systemic symptoms. In this part of the series, it will overview the theory, treatment methods, criteria, their limitation of Chirodontics, Dental Distress Syndrome (DDS) and quadrant theorem(QT). Chirodontics has its root on Chiropractic and to maintain the 'healthy status' of TMJ with stable occlusion via dental treatment. Dental distress syndrome on the other hand believes that all the TMD has originated from reduced or collapse of posterior support and incorrect posterior vertical support had caused imbalance of the head and neck structure which eventually affect the whole body symptoms. The analysis and treatment is planned using quadrant theorem where the position of head, rotatory pivot point and occlusal plane is analyzed.

FE-based Strip Mean Temperature Prediction On-Line Model in Hot Strip Finishing Mill by using Dimensional Analysis (차원해석을 통한 열간 사상압연중 온도해석모델 개발)

  • 이중형;곽우진;황상무
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2003.05a
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    • pp.176-179
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    • 2003
  • The mean temperature prediction of strip is very important in hot strip finishing mill because of affecting on product quality and shape. Also, temperature can be used by basic information in other on-line control models with affecting control accuracy in factory. So, FE based on-line temperature model was developed for predicting strip mean temperature accurately in various process conditions and factory environments. There are many variables in affecting strip mean temperature in on-line states of factory. But some problems are occurred in considering all variables for making temperature model because of the bad efficiency of regression or fitting analysis. In this report, we have adopted dimensional analysis for solving these problems. We have many variables with dimensions affecting strip temperature but we are able to make non-dimensional variables less than dimensional variables from the combination of dimensional variables caused by PI-Theorem in fluid mechanics. The developed models are divided by two parts. The one is interstand temperature prediction model. The other is roll gap temperature model.

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An Analysis of Generalization Class using GSP for the 8th Grade Students in a Math Gifted Class - Focused on Viviani theorem - (GSP를 활용한 중학교 2학년 수학 영재학급의 일반화 수업 분석과 교육적 시사점 - Viviani 정리를 중심으로 -)

  • Kang, Jeong Gi
    • Communications of Mathematical Education
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    • v.30 no.1
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    • pp.23-46
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    • 2016
  • This study is aimed to implement a preferred generalization classes for gifted students. By designing and applying the generalization lesson using GSP, we tried to investigate the characteristics on the class. To do this, we designed a lesson on generalization of Viviani theorem and applied to 13 8th grade students in a math gifted class. As results, we could extract five subjects as followings; mediating the conjecture by GSP and checking the pattern, misunderstanding the confirm by GSP as a proof and its overcoming, digressing from the topic and cognitive gap, completing the proof by incomplete conjecture, gap between the generalization and understanding generality. Based on this subjects, we discussed the educational implications in order to help implement a preferred generalization classes for gifted students.

Isogeometric Optimal Design of Kelvin Lattice Structures for Extremal Band Gaps (극대화된 밴드갭을 갖는 켈빈 격자 구조의 아이소-지오메트릭 최적 설계)

  • Choi, Myung-Jin;Oh, Myung-Hoon;Cho, Seonho;Koo, Bonyong
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.32 no.4
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    • pp.241-247
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    • 2019
  • A band gap refers to a certain frequency range where the propagation of mechanical waves is prohibited. This work focuses on engineering three-dimensional Kelvin lattices having external band gaps at low audible frequency ranges using a gradient-based design optimization method. Elastic wave propagation in an infinite periodic lattice is investigated by employing the Bloch theorem. We model the ligaments using a shear-deformable beam model obtained by consistent linearization in a geometrically exact beam theory. For a given lattice topology, we enlarge band gap sizes by controlling the configuration of the beam neutral axis and cross-section thickness that are smoothly parameterized by B-spline basis functions within the isogeometric analysis framework.

Dental occlusion and its relationship with general health (교합과 전신 질환)

  • Park, Eun-Jin;Cho, Byeong-Gap;Bae, Hanna Eun-Kyong
    • The Journal of the Korean dental association
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    • v.48 no.7
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    • pp.514-521
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    • 2010
  • The relationship between dental occlusion to temporomandibular Joint (TMJ), systemic symptoms and health has been discussed and theoretical reasons have been the foundation for treatments performed by various areas of alternative treatments. It has been noted that there have been increase in the available methods and treatments for the general public regarding these areas of treatment modality. Korean Academy of Stomatognathic function and Occlusion have carried out literature review of five of those treatment theories available; they are Craniosacral mechanism, Osteopathy, Myodontics, Chirodontics, Dental distress syndrome and Quadrant theorem. Each of these modalities will be introduced and brief summary of their efficacy and efficiency will be discussed.

Development of a Non-contacting Capacitive Sensor Based on Thompson-Lampard Theorem for Measurement of ${\mu}m-order$ Displacements (Thompson-Lampard 정리를 적용한 마이크로미터 변위 측정을 위한 비접촉식 전기용량 센서 개발)

  • Kim, Han-Jun;Kang, Jeon-Hong;Han, Sang-Ok
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.55 no.9
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    • pp.443-448
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    • 2006
  • Non-contacting capacitive sensor based on Thompson-Lampard theorem have been fabricated and characterized for measuring of 때 order displacements. To overcome disadvantages of the existed capacitive sensors of parallel plate type with 2-electrodes and 3-electrodes, the developed new sensor was designed to have 4-electrodes with a constant gap of 0.2mm between the electrodes. Two of the electrodes were used as a high potential electrode and a low one, the other two electrodes were used as guard electrodes. These electrodes were made from copper using RF sputtering system on a sapphire plate with diameter 17 mm and thickness 0.7 mm. This sensor can be used for measuring the distance not only between the sensor and metallic target connected to ground potential but also non-metallic target without ground connection.

A Nonlinear Model-Based Anti-Swing Control for Overhead Cranes with High Hoisting Speeds (권상/권하 속도가 큰 경우 크레인의 비선형 무진동 제어)

  • Lee, Ho-Hun;Jeon, Jong-Hak;Choe, Seung-Gap
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.9
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    • pp.1461-1467
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    • 2001
  • This paper proposes a new approach for the ant-swing control of overhead cranes. The proposed control consists of a model-based anti-swing control scheme and a practical path planning scheme. The anti-swing control scheme is designed based on the Lyapunov stability theorem; the proposed control does not require the usual constraints of small load mass, small load swing, slow hoisting speed, and small hoisting distance, but guarantees asymptotic stability while keeping all internal signals bounded. The path planning scheme is designed based on the concepts of minimum-time control and anti-swing control; the proposed path planning generates near-minimum-time trajectories independently of hoisting speed and distance. The effectiveness of the proposed control is shown by computer simulation.