• Title/Summary/Keyword: Twisted

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THE SPHERICAL NON-COMMUTATIVE TORI

  • Boo, Deok-Hoon;Oh, Sei-Qwon;Park, Chun-Gil
    • Journal of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.331-340
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    • 1998
  • We define the spherical non-commutative torus $L_{\omega}$/ as the crossed product obtained by an iteration of l crossed products by actions of, the first action on C( $S^{2n+l}$). Assume the fibres are isomorphic to the tensor product of a completely irrational non-commutative torus $A_{p}$ with a matrix algebra $M_{m}$ ( ) (m > 1). We prove that $L_{\omega}$/ $M_{p}$ (C) is not isomorphic to C(Prim( $L_{\omega}$/)) $A_{p}$ $M_{mp}$ (C), and that the tensor product of $L_{\omega}$/ with a UHF-algebra $M_{p{\infty}}$ of type $p^{\infty}$ is isomorphic to C(Prim( $L_{\omega}$/)) $A_{p}$ $M_{m}$ (C) $M_{p{\infty}}$ if and only if the set of prime factors of m is a subset of the set of prime factors of p. Furthermore, it is shown that the tensor product of $L_{\omega}$/, with the C*-algebra K(H) of compact operators on a separable Hilbert space H is not isomorphic to C(Prim( $L_{\omega}$/)) $A_{p}$ $M_{m}$ (C) K(H) if Prim( $L_{\omega}$/) is homeomorphic to $L^{k}$ (n)$\times$ $T^{l'}$ for k and l' non-negative integers (k > 1), where $L^{k}$ (n) is the lens space.$T^{l'}$ for k and l' non-negative integers (k > 1), where $L^{k}$ (n) is the lens space.e.

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EO Performances of the Ion Beam Aligned TN-LCD on a Carbon Nitride Thin Film Surface

  • Park, Chang-Joon;Hwang, Jeoung-Yeon;Kang, Hyung-Ku;Seo, Dae-Shik;Ahn, Han-Jin;Kim, Jong-Bok;Kim, Kyung-Chan;Baik, Hong-Koo
    • 한국정보디스플레이학회:학술대회논문집
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    • 2004.08a
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    • pp.1121-1124
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    • 2004
  • Carbon Nitride exhibits high electrical resistivity and thermal conductivity that are similar to the properties shown by diamond-like carbon (DLC) films. These diamond-like transport properties in Carbon Nitride come in a material consisting of $sp^2$-bonded carbon versus the $sp^3$-carbon of DLC. The diamond-like properties and nondiamond-like bonding make NDLC an attractive candidate for applications. Liquid crystal (LC) alignment capabilities with ion beam exposure on carbon nitride thin films and Electro-Optical (EO) performances of the ion-beam aligned twisted nematic liquid crystal display (TN-LCD) with oblique ion beam exposure on the Carbon Nitride thin film surface were studied. An excellent uniform alignment of the nematic liquid crystal (NLC) alignment with the ion beam exposure on the Carbon Nitride thin films was observed. In addition, the good EO properties of the ion-beam-aligned TN-LCD were achieved. Finally, we achieved the residual DC property of the ion-beam- aligned TN-LCD on the Carbon Nitride thin film.

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A 5-Axis NC Machining Strategy Support System for an Impeller (임펠러 5축 NC가공을 위한 가공전략수립 지원시스템)

  • Cho, Min-Ho;Kim, Dong-Won;Heo, Eun-Young;Lee, Chan-Gi
    • IE interfaces
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    • v.21 no.4
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    • pp.411-417
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    • 2008
  • An impeller is a type of high-speed rotor that is used to compress or transfer fluid under high-speed and pressure at high temperatures. The impeller is composed of an axial hub and several blades attached along the hub. The weight and shape of an impeller must be balanced, because their imbalances can cause noise and vibration, which can lead to the breakage of the impeller blades during operation. Thus, the hub and blades of an impeller are commonly machined in a 5-axis NC machine to obtain qualified surfaces. The impeller machining strategy or process plan can not be easily obtained due to the complex, overlapped and twisted shapes of impeller blades. Skillful machining process planners may generate appropriate machining strategies based on their experiences and floor data. However, in practice most shop floor data for the impeller machining is not well-structured such that it does not effectively provide a process planner with information for machining strategies and/or process plans. This paper reports the development of a case-based machining strategy support system (CBMS) that employs case-based reasoning to obtain the machining strategy of an impeller by using the existing machining strategies of the shop floor. The CBMS generates impeller machining strategies through a stepwise reasoning process considering the similarity features between the blade shapes and machining regions. A case study is provided to demonstrate that CBMS can generate useful machining strategies facilitating process planners. The developed system can simulate the tool paths of impeller machining and runs on the web.

Theoretical Studies on the Structure and Acidity of Meldrum's Acid and Related Compounds

  • Lee, Ik-Choon;Han, In-Suk;Kim, Chang-Kon;Lee, Hai-Whang
    • Bulletin of the Korean Chemical Society
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    • v.24 no.8
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    • pp.1141-1149
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    • 2003
  • The structures and gas-phase ionization energies (ΔG°) of Meldrum's acid (I) and related cyclic (II-VI) and acyclic compounds (VII-IX) are investigated theoretically at the MP2/6-31+$G^*$, B3LYP/6-31+$G^*$, B3LYP/6- 311+$G^{**}$, B3LYP/6-311++G(3df,2p) and G3(+)(MP2) levels. Conformations of three neutral cyclic series vary gradually from boat (Meldrum's acid, I), to twisted chair (II) and to chair (III) as the methylene group is substituted for the ether oxygen successively. The preferred boat form of I can be ascribed to the two strong $n_O$ → σ* c-c antiperiplanar vicinal charge transfer interactions and electrostatic attraction between negatively charged C¹ and positively charged C⁴at the opposite end of the boat. All the deprotonated anionic forms have half-chair forms due to the two strong $n_C$ → π* c=0 vicinal charge transfer interactions. The dipole-dipole interaction theory cannot account for the higher acidity of Meldrum's acid (I) than dimedone (III). The origin of the anomalously high acidity of I is the strong increase in the vicinal charge transfer ($n_C$ → π* c=0) and 1,4-attrative electrostatic interactions (C¹↔C⁴) in the ionization (I → $I^-$ + $H^+$). In the acyclic series (VII-IX) the positively charged end atom, C⁴, is absent and the attractive electrostatic stabilization (C¹↔C⁴) is missing in the anionic form so that the acidities are much less than the corresponding cyclic series.

A Study on Electro-Optical Characteristics of the Ion Beam Aligned TN Cell on the a-C:H Thin Film (a-C:H 박막을 이용한 이온빔 배향 TN 셀의 Electro-Optical 특성에 관한 연구)

  • Park, Chang-Joon;Jo, Yong-Min;Hwang, Jeoung-Yeon;Seo, Dae-Shik;Rho, Soon-Joon;Baik, Hong-Koo;Jeong, Youn-Hak
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2003.05d
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    • pp.57-60
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    • 2003
  • Electro-Optical (EO) performances for the ion beam (IB) aligned twisted-nematic (TN)-liquid crystal display (LCD) with ion beam exposure on the new of diamond like carbon (DLC) thin film surface were investigated. Voltage-transmittance (V-T) curve and response time without backflow bounce in the ion beam aligned TN-LCD with ion beam exposure for 0.5 and 1min on the DLC thin film was observed. Also. the fast response time of ion beam aligned TN-LCD with ion beam exposure for 1min on the DLC thin film surface can be achieved. The residual DC voltage of the ion beam aligned TN-LCD on the DLC thin film surface was almost the same as that of the rubbing aligned TN-LCD on the polyimide(PI) surface.

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Ultrastructure of the Ampullate Gland in the Orb Web Spider, Nephila clavata L. Koch I. Excretory Duct of the Large Ampullate Gland (무당거미(Nephila clavata L. Koch) 병상선(甁狀腺)의 미세구조(微細構造) I. 대병상선(大甁狀腺)의 분비관(分泌管))

  • Moon, Myung-Jin;Kim, Chang-Shik;Kim, Woo-Kap
    • Applied Microscopy
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    • v.18 no.2
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    • pp.77-90
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    • 1988
  • The ultrastructure of the excretory duct of the large ampullate gland in the orb web spider, Nephila clavain L. Koch are studied with light and electron microscopes. The excretory ducts of the large ampullate glands connected with the large spinning tubes(spigots) on the anterior spinnerets are basically composed of three superposed types of the layers which are inner cuticles, monolayered epithelial cells and peripheral connective cells. According to the morphological characteristics of the cuticles and internal textures of the epithelial cells, the long excretory ducts are subdivided into three(distal, middle and proximal) portions. Especially, at the distal portion of the ducts near the spinning tubes, the electron lucent subcuticles which had the functions of water removal and orientation of silk fibers are well distributed, whereas at the middle and proximal portions these layers disappeared and instead of these, endocuticles are developed. The endocuticle contains two types of bands, which are electron dense and electron lucent. And along the length of the cuticular stem in the excretory duct, these two alternating bands are twisted spirally. In the cytoplasm of the columnar epithelial cells of the distal portion, rough endoplasmic reticula and Golgj complexes, related to the production of the cuticular materials are well developed. Between the adjacent epithelial cells, specialized septate junctions and desmosomes are formed along the plasma membranes. At the proximal portion of the duct, densely accumulated secretory materials appeared, and these are released to the inner canal by the apocrine secretion.

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Morphological Characterization of 'Ailsa Craig' Tomato Callus and Effect on Plant Regeneration (`Ailsa Craig` 토마토 캘러스의 형태학적 특성과 식물체 재분화에 미치는 영향)

  • Seong, Eun-Soo;Wang, Myeong-Hyeon
    • Applied Biological Chemistry
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    • v.50 no.4
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    • pp.253-256
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    • 2007
  • In an attempt to optimize the in vitro-regeneration conditions necessary for the genetic manipulation of tomato species, we examined 'Ailsa Graig' cultivar of Lycopersicon for regeneration ability. The basal medium used for callus formation and shoot regeneration was MS (MS + vitamin) supplemented with six combinations of zeatin 2 mg/l, zeatin 2 mg/l + IAA 0.1 mg/l, zeatin 2 mg/l + IAA 0.5 mg/l, zeatin 4 mg/l, zeatin 4 mg/l + IAA 0.1 mg/l and zeatin 4 mg/l + IAA 0.5 mg/l. When all conditions tested were considered, however, only zeatin 2 mg/l was shown to be the best in shoot regeneration. The morphological characterization from in vitro-cultured callus of Lycopersicon esculentum L. var. 'Ailsa Craig' was investigated with scanning electron microscope (SEM). The surfaces of in vitro-cultured callus had well-defined epidermal cell in condition of zeatin 2 mg/l, but those of different treatments were twisted. These results suggested that shape of callus was involved in efficiency of shoot regeneration in tomato 'Ailsa Craig'.

A STUDY OF THE STRESS DISTRIBUTION ON THE SECOND ABUTMENT AND SUPPORTING TISSUES IN FIXED PARTIAL DENTURE USING THREE DIMENSIONAL FINITE ELEMENT ANALYSIS METHOD (고정성 가공의치에서 이차 지대치에 발생하는 응력의 삼차원 유한요소법적 분석)

  • Kim, Jeong-Hee;Jo, Kwang-Hun;Lee, Cheong-Hee
    • The Journal of Korean Academy of Prosthodontics
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    • v.38 no.5
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    • pp.675-694
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    • 2000
  • The purpose of this study was to investigate the displacement of and the stress distribution on the prosthesis, abutment, and its supporting tissues under functional load, and the effect of alteration in root length of 2nd abutment. The 3-dimensional finite element method was used and the finite element models were prepared in which the abutments of left mandibular 5 unit axed partial denture were canine, the 1st pre-molar and the 2nd molar, and the root lengths of canines were as follows. Model I : Root length of canine was 2mm longer than the 1st premolar Model II : Root length of canine was 2mm shorter than the 1st premolar Static compressive force of 300N was applied to connector between 2nd premolar & 1st molar, and then von Mises stress, displacement and reaction force were obtained. The results were as follows : 1. In fixed partial denture, prosthesis under load on pontic was rotated around mesio-distal long axis of it from longual side to buccal, and simultaneously bended in buccal and gingival direction with mesial end deformed in gingival direction and distolingual end in occlusal. 2. Clinical crowns of abutments were bended in the same directions with those in which prosthesis deforms. Due to that, roots of anterior abutments were twisted in counterclockwise with concentration of shear stress on distal or distobuccal sides of their cervices, and that of posterior was in clockwise with concentration of shear stress on mesiobuccal side of it in the same level with anterior abutments. 3. In case that root length of the 2nd abutment was longer than that of the 1st abutment, its displacement and reaction force which means the force tooth exerts on the surrounding periodontal tissues were smaller but shear stress on itself was larger than in the case root length of 2nd abutment was shorter.

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A Study on the Blended Tabby of the Chosen Dynasty (조선시대 교직물 연구)

  • 장현주
    • Journal of the Korean Society of Costume
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    • v.52 no.5
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    • pp.145-154
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    • 2002
  • 1. The blended tabby whose warp and weft each employs a different kind of thread had been weaved since the era of the Three Kingdoms in this nation and since the period of Han in China. Especially in the 15th century. very finely weaved fabrics as the specialty of Chosun were exported to China. In the 16th century. blended tabby weaved with silk and cotton were often used for clothes as cotton was produced around the nation. And in the 17th century. blended tabby employing high quality Chinese raw silk other than existing ones were weaved. 2. It has been found in literature review that Honpo, one of Chosun's blended tabby. was manufactured mainly in Hamkyung, Cholla and Kyungsang provinces and mostly distributed through markets of Chungchong and Cholla provinces. 3. Out of the total 19 fabric pieces. 13 employed silk thread as the warp and cotton thread as the weft. Compared with the weft. in general. the warp is given more tension when weaved and more friction by spindles, being more likely to be twisted than the weft. In addition to starching, a stronger thread is requested as the warp. It is natural that in the Chosun period, silk thread more stronger than cotton thread was used as the warp to make more durable fabrics. For the weft requiring lots of threads when weaved. cotton thread was mainly used in the 17th century because the thread could be easily obtained at that time. 4. So far the study has made an empirical review of Chosun's blended tabby. especially those of the 15th∼17th century, in terms of their production and distribution. Findings from the study have some limit because they have been made focusing on the 15th∼17th century not the whole period of Chosun. Therefore it is needed to complement those findings through further studies.

Investigation into Development of Transfer Type for Variable Lamination Manufacturing Process and Apparatus (단속형 재료공급식 가변적층 쾌속조형공정 및 장치 개발에 관한 연구)

  • Ahn, Dong-Gyu;Lee, Sang-Ho;Choi, Hong-Seok;Yang, Dong-Yol;Park, Seung-Kyo
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.2
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    • pp.95-105
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    • 2002
  • In order to reduce the lead-time and cost, the technology of rapid prototyping (RP) has been widely used. However, RP technologies have disadvantageous characteristics according to their working principle: low building speed, high cost for introduction and maintenance of RP apparatus, stair-stepped surface and additional post processing. A new rapid prototyping process, as a transfer type of Variable Lamination Manufacturing by using expandable polystyrene room (VLM-ST), has been developed to reduce building lime. apparatus cost including the introduction and the maintenance and additional post-processing. The objective of this study is to propose a VLM-ST process and to develop an apparatus for implementation of the process. Design criteria of the apparatus are defined and the techniques arc proposed to satisfy the design criterion. In order to examine the efficiency and applicability of the developed process, various three-dimensional shapes, such as a world-cup logo. a knob shape, an extruded cross, a twisted shape, a character, Son-o-kong. a helical gear shaped and a scissor shape are fabricated on the apparatus in which unit shape layer (USL) was generated to build up each layer.