• Title/Summary/Keyword: Space closure

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A NOTE ON SPACES WHICH HAVE COUNTABLE TIGHTNESS

  • Hong, Woo-Chorl
    • Communications of the Korean Mathematical Society
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    • v.26 no.2
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    • pp.297-304
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    • 2011
  • In this paper, we introduce closure operators [${\cdot}$]c and [${\cdot}$]a on a space and study some relations among [${\cdot}$]c, [${\cdot}$]a and countable tightness. We introduce the concepts of a strongly sequentially closed set and a strongly sequentially open set and show that a space X has countable tightness if and only if every strongly sequentially closed set is closed if and only if every strongly sequentially open set is open. Finally we find a generalization of the weak Fr$\'{e}$chet-Urysohn property which is equivalent to countable tightness.

Maxillary space closure using a digital manufactured Mesialslider in a single appointment workflow

  • Wilhelmy, Lynn;Willmann, Jan H.;Tarraf, Nour Eldin;Wilmes, Benedict;Drescher, Dieter
    • The korean journal of orthodontics
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    • v.52 no.3
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    • pp.236-245
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    • 2022
  • New digital technologies, many involving three-dimensional printing, bring benefits for clinical applications. This article reports on the clinical procedure and fabrication of a skeletally anchored mesialization appliance (Mesialslider) using computer-aided design/computer-aided manufacturing (CAD/CAM) for space closure of a congenitally missing lateral incisor in a 12-year-old female patient. The insertion of the mini-implants and appliance was performed in a single appointment. Bodily movement of the molars was achieved using the Mesialslider. Anchorage loss, such as deviation of the anterior midline or palatal tilting of the anterior teeth, was completely avoided. CAD/CAM facilitates safe and precise insertion of mini-implants. Further, mini-implants can improve patient comfort by reducing the number of office visits and eliminating the need for orthodontic bands and physical impressions.

ON SUPER CONTINUOUS FUNCTIONS

  • Baker, C.W.
    • Bulletin of the Korean Mathematical Society
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    • v.22 no.1
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    • pp.17-22
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    • 1985
  • B.M. Munshi and D.S. Bassan defined and developed the concept of super continuity in [5]. The concept has been investigated further by I. L. Reilly and M. K. Vamanamurthy in [6] where super continuity is characterized in terms of the semi-regularization topology. Super continuity is related to the concepts of .delta.-continuity and strong .theta.-continuity developed by T. Noiri in [7]. The purpose of this note is to derive relationships between super continuity and other strong continuity conditions and to develop additional properties of super continuous functions. Super continuity implies continuity, but the converse implication is false [5]. Super continuity is strictly between strong .theta.-continuity and .delta.-continuity and strictly between complete continuity and .delta.-continuity. The symbols X and Y will denote topological spaces with no separation axioms assumed unless explicity stated. The closure and interior of a subset U of a space X will be denoted by Cl(U) and Int(U) respectively and U is said to be regular open (resp. regular closed) if U=Int[Cl(U) (resp. U=Cl(Int(U)]. If necessary, a subscript will be added to denote the space in which the closure or interior is taken.

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An Evaluation on Rupture Behavior of Nozzle Closure in Multi-Nozzle System (멀티노즐시스템의 노즐마개 파열 거동 분석)

  • Ro, Young-Hee
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.42 no.9
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    • pp.745-751
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    • 2014
  • For the multi-nozzle propulsion, the rupture pressure of nozzle closure has an effect on the initial strain rate of ignition. Moreover, the deviation of rupture pressure for each nozzle closure leads to side forces which can disturb the attitude control of rocket. When designed, it should be considered whether nozzle closures are ruptured equally and exactly in the intented pressure. In this paper, the rupture behavior is analyzed by analytical and experimental methods for plate and "+" notched nozzle closures. The rupture pressure and deviation for operating temperature, whether notched or not and notched directions are analyzed. This paper provides a comparison between rupture pressure prediction of finite elements method which tool is Abaqus/Explicit and results of the rupture test. Jonson-Cook shear failure model which corresponds to the damage initiation criterion were used in this simulation.

Deformation Characteristics of Artificially Fracture Joins of Granite under Normal and Shear Loading (수직 및 전단하중하에서 화강암 인공절리의 변형특성)

  • 김영근;이희근
    • Tunnel and Underground Space
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    • v.3 no.2
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    • pp.142-151
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    • 1993
  • In this study, the deformation characteristics of atrtificially fractured joints of granite under normal and shear loading were investigated. To obtain the characteristics of joint deformation, compression and shear tests were performed in the laboratory on three different sizes of rock specimens. The rock used in the experimens was Iksan granite. Joints were produced artificially by fracturing using the apparatus for generating extension-joint. Joint normal deformability was studied by conducting cyclic loading tests on the joints. Joint closure varied non-linearly with normal stress through cyclic loadings. As normal stress increased, the joints gradually reached a state of maximum joint closure. The relation between normal stress and joint closure for mated and unmated joints was well described by the hyperbolic and exponential function, respectively. Joint shear deformability was studied by performing direct shear tests under normal stresses on the joints. it was shown that the behaviour in the prepeak range was non-linear and joint shear stiffness depended on the size of specimen and the normal stress.

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Closure, Interior and Compactness in Ordinary Smooth Topological Spaces

  • Lee, Jeong Gon;Hur, Kul;Lim, Pyung Ki
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.14 no.3
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    • pp.231-239
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    • 2014
  • It presents the concepts of ordinary smooth interior and ordinary smooth closure of an ordinary subset and their structural properties. It also introduces the notion of ordinary smooth (open) preserving mapping and addresses some their properties. In addition, it develops the notions of ordinary smooth compactness, ordinary smooth almost compactness, and ordinary near compactness and discusses them in the general framework of ordinary smooth topological spaces.

Analysis of dismantling process and disposal cost of waste RVCH

  • Younkyu Kim;Sunkyu Park ;TaeWon Seo
    • Nuclear Engineering and Technology
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    • v.55 no.1
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    • pp.45-51
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    • 2023
  • During the operation of a nuclear power plant (NPP), the waste reactor vessel closure head (RVCH) that is replaced owing to design or manufacturing defects is buried in a designated area or temporarily stored in a radiation shielding facility within the NPP. In such cases, storing it for extended periods proves a challenge owing to space constraints in the power plant and a safety risk associated with radiation exposure; therefore, dismantling it quickly and safely is crucial. However, not much research has been done on the dismantling of the RVCH in an operational power plant. This study proposes a dismantling process based on the radioactive contamination level measured for the Kori #1 RVCH, which is currently being discarded and stored, and examines the decontamination and cutting according to this process. In addition, the amount of secondary waste and dismantling cost are evaluated, and the dismantling effect of the reactor closure head is analyzed.

CLINICAL STUDY ON THE RELAPSE OF DIASTEMA (전치부 공극의 치료후 재발에 관한 임상적 고찰)

  • Park, Hyo-Sang;Sung, Jae-Hyun
    • The korean journal of orthodontics
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    • v.24 no.1 s.44
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    • pp.95-104
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    • 1994
  • There are orthodontic closure, surgincal closure, prosthetic solution in the treatment of diastema. The orthodontic closure has been widely used owing to its conservative nature, but retention after treatment has been difficult and problematic. So, authors observed relapse and retention after the orthodontic closure of 3 diastema cases. The results might be summarized as follows : The space that had been approximated between central incisors, was reopened by the use of retention appliance which did not join two central incisors together though fixed prothesis. By the frenectomy, circumferential supracrestal fibrotomy and lingual bonded retainer which joined two central incisors together after the orthodontic closure of diastema, were good results obtained. The frenectomy, fibrotomy, and the fixed retention appliance which joined two central incisors together must be needed after the orthodontic closure of diastema.

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The evaluation of rotational movements of maxillary posterior teeth using three dimensional images in cases of extraction of maxillary first premolar (3차원 영상을 이용한 상악 소구치 발치공간 폐쇄 후 상악 구치부 회전양상의 평가)

  • Chong, Deuck-Ryong;Jang, Yen-Ju;Chun, Youn-Sic;Jung, Sang-Hyuk;Lee, Sung-Keun
    • The korean journal of orthodontics
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    • v.35 no.6 s.113
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    • pp.451-458
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    • 2005
  • Cephalometric superimposition is unable to evaluate tooth movement along the occlusal plane and the errors of photographing and superimposition of the occlusogram is also inevitable. The purpose of the present study was to evaluate the rotational movements of the maxillary posterior teeth following space closure after extraction of maxillary first premolars. using 3D dental images. In 19 adult females. analysis of rotational movements of the maxillary posterior teeth was performed between the initial and final 3D dental images superimposed on the maxillary hard palate. The results showed a diversity of rotational movements of posterior teeth. The causes of various rotational movements may be different rotation of molars in each case at the beginning of treatment. individual characters of the dental arch and tooth morphology. The results of the study indicate that accurate evaluation of rotational movements of posterior teeth following space closure after extraction of premolars using 3D dental images can be obtained through the subdivision of tooth movement during the initial aligning, space closure and finishing stages.