• Title/Summary/Keyword: ribbon knot

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CLASSIFICATION OF A FAMILY OF RIBBON 2-KNOTS WITH TRIVIAL ALEXANDER POLYNOMIAL

  • Kanenobu, Taizo;Sumi, Toshio
    • Communications of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.591-604
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    • 2018
  • We consider a family of ribbon 2-knots with trivial Alexander polynomial. We give nonabelian SL(2, C)-representations from the groups of these knots, and then calculate the twisted Alexander polynomials associated to these representations, which allows us to classify this family of knots.

The suture method using ribbon shaped knot in pediatric facial lacerations (소아 안면 열상 시 리본 모양 매듭법을 이용한 봉합법)

  • Sung, Hyoung Woo;Kim, Jin Woo;Shin, Han Kyung;Jung, Jae Hak;Kim, Young Hwan;Sun, Hook
    • Archives of Plastic Surgery
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    • v.36 no.1
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    • pp.122-125
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    • 2009
  • Purpose: Stitching out in facial simple laceration on children, we use No.11 blade. But the procedure is technically demanded to take care of the uncooperative pediatric patient. When we suture a laceration on the pediatric patient, we apply this method using ribbon shaped knot. On stitching out, We pull one the edge of a stitching fiber easily without injury about normal tissue. Methods: We studied 54 pediatric patients who have facial lacerations for children under six years old, from May, 2006 to December, 2007 in Plastic Surgery department, emergency room. Among them 35 were male, 19 were female and age average was 3.9. Results: For following up dressing, ribbon shaped knot did not get loose. After stitching out in facial laceration on children, Major complication of infection, hematoma, dehiscence was not found. Conclusion: The advantage of this operation method using ribbon shaped knot when we Stitch out the fiber on the incorporative pediatric patients, is easy to perform and to reduce the stitching time, without sedation.

THE AMPHICHEIRAL 2-BRIDGE KNOTS WITH SYMMETRIC UNION PRESENTATIONS

  • Toshifumi Tanaka
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.2
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    • pp.421-431
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    • 2024
  • In this paper, we characterize amphicheiral 2-bridge knots with symmetric union presentations and show that there exist infinitely many amphicheiral 2-bridge knots with symmetric union presentations with two twist regions. We also show that there are no amphicheiral 3-stranded pretzel knots with symmetric union presentations.

THE JONES POLYNOMIAL OF KNOTS WITH SYMMETRIC UNION PRESENTATIONS

  • Tanaka, Toshifumi
    • Journal of the Korean Mathematical Society
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    • v.52 no.2
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    • pp.389-402
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    • 2015
  • A symmetric union is a diagram of a knot, obtained from diagrams of a knot in the 3-space and its mirror image, which are symmetric with respect to an axis in the 2-plane, by connecting them with 2-tangles with twists along the axis and 2-tangles with no twists. This paper presents an invariant of knots with symmetric union presentations, which is called the minimal twisting number, and the minimal twisting number of $10_{42}$ is shown to be two. This paper also presents a sufficient condition for non-amphicheirality of a knot with a certain symmetric union presentation.

The Types and Formation of the Pieces for Fastening the Clothing in the Western and Oriental World from 18c to 19c ($18\~19$세기 동$\cdot$서양 의복에 나타난 여밈의 유형과 조형성)

  • Jang Hyun-Joo;Jang Jeong-Ah;Lee Joo-Young
    • Journal of the Korean Society of Costume
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    • v.55 no.4 s.94
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    • pp.49-61
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    • 2005
  • This study is to research the types and formation of the pieces for fastening the clothing in the western and oriental world from 18c to 19c. The pieces for fastening the clothing, depending on their formation, are classified as the ribbon type, the belt type, the button type, and the compound type. The ribbon type indicates fastening the clothing with the strips attached to the clothes. It is divided into the symmetry type and the asymmetry type by the looks of the ribbon alter it is tied. The belt type means fastening the clothing with a string or a belt, separated from the clothes. It is divided into the string type and the belt type. The button type is to fasten the clothing with buttons, button holes, and hooks. It is divided into the basic type, the wrapping type, and the knot type. The compound type is a mixture of two or three types out of the ribbon type, the belt type, and the button type. The pieces for fastening the clothing has aesthetic features as well as their functional characteristics. It has beautiful features like the harmonious beauty of Yin and Yen shown in the asymmetrical types, the beauty of spell wishing for health, long-life, wealth, wisdom, and so on, the beauty of decency showing the intention of refraining from exposing their body in public, the beauty of eroticism emphasizing the beauty of the human body, and the beauty of representing their social class, authority, affiliation, and so on.

A Study on The Costume of The Kory Dynasty(2) -See through by the human being on the Buddist Panting of Koryo Dynasty hang on the wall(2)-1 (고려시대 인물관련 제작물을 통해서 본 복식에 관한 연구(2) -고려시대 인물관련 제작불화중 '탱화'를 통해서 본 복식에 관한 연구(2)-$\circled1$ -남녀 왕실 귀족 및 관직자 복식을 주로하여-)

  • 임명미
    • Journal of the Korean Society of Costume
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    • v.22
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    • pp.205-224
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    • 1994
  • It was aimed to study the costume of Koryo dynasty based upon the thirty pictures of Bud-dha to hang on the wall among the existing Buddist paintings. The costume to study were made about 64 years during the King Chung-yol(1286) to the King Chung-jong(1350) which style was mostly related in Won Dynasty. 가) Men's wear ; 1. Hair style and hair dress ; Man tied up a top knot and they put on the hat such as a Kuan Kun and Mo. The young boys binds his hair up one, two, and three knot-s, and tied up with a hair ribbon, A kinds of Kuan-mo were Mine-lu-kuan Yuan-yu-kuan, Nong-kuan, Hae-chi-kuan Pok-du Yun-wha-kuan Yip-mo- and Tu-ku(Helmeto) 2. clothes ; 1) Colour of Koryo King's Mien-ku Kuan costume was not agree with blue and reddish black colour which was used in Yo, Song, Kum and Won Dynasty, however black and greenhish blue colour was agreed with. 2) The king wore T'ung-t'ien-kuan(Yuan-yu-kuan) and the government officials wore Chin-hien-kuan Hae-chi-kuan and Nong-kuan as a court dress. In general the king and the Crown Prince wore a hats which was used in T'ung-t'ien system however sometimes they wore small hats which was cited in literature. 3) Gate guard and upper garment wore colourful costume figured gold colour pattern which was distin-gtive costume system of Koryo. 4) A monk wore big sleeve long skirt big sleeve long jacket long skirt and shoulder scar-f full shoulder scarf or right hand shoulder opened scarf. 5) The Soldiers wore helmet shoulder or scarf pee-back hung-kap, pok-kap, yang-dan-g-kap we-yu-kap kun-kap, and boots and they carried arms. 6) The young boys wore scarf, loin cloth, long skirt, belt neckless, wan-silk, boots and foots wear and wristless. 나) Women's wear ; 1. Hair style and hairs and tied up with a hair ribbon and wore precious ston decorated hair dress wheel shape hair dress pan shaped head dress handkerchif covered hair dress decorated precious stone hair pin silk chippon made of head dress muf-fler shaped hairdress. Boots mocasin hae lee, suk and sandle wored as a shoes depends on the classes. They wore neckless, earing wres-tless and wan-pu-sik. 2. Closthe 1) High rank lade's wore un-kyun attached jacket and jacket sleeves decorated pleats and pleats decorated long skirt apron back apron knot belt, scarf this type is the same with Dang Dynasty five dynasty of china Song, Kum Won, Myung Dynasty and our cos-tume of Poe-hae, and Shilla Dynasty.

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A Study on the Costume of The Koryo Dynasty(2) -See through by human being, on the written Budist scripture(2)-2 (고려시대 인물관련 제작물을 통해서 본 복식에 관한 연구 (2) -고려시대 인물관련 제작 불화(佛畵) 중 '사경화'를 통해서 본 복식에 관한 연구(2) -평서민 남녀복식을 주로하여)

  • 임명미
    • Journal of the Korean Society of Costume
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    • v.23
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    • pp.211-223
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    • 1994
  • It was aimed to study the costume of Koryo dynasty based upon the one hundred and ten pictures of the writtened Budist scripture. The costume to study were made about 400 years during the King Mok-jong(1006) to the first year of the king Kong-yang based upon the Avatamaka Sutra and the Sutra of the Lotus. 가) Men's wear : 1. Hair style and hair dress : 1) Man bored a hair and put on the hat such as a Kuan, Kun, and Mo. The young boys binds his hair up one, two, and three knots, and tied up with a hair ribbon. A kinds of hats were Tung-t'ien-kuan(Yuan-yu-kuan) and Chin-hien-kuan and as a court dress. The man wore pok-여 as an official uniform and wore a pok-du , kun-mo as an everyday dress and wore a helmet as a solidier's uniform. 2. Clothes : 1) They wore Yuan-yu-kuan and Chin-hien -kuan as a court dress, and wore belt, boots, pleated decorated ling skirt also. They wore round shape collor big sleeve jacket, small sleeve long coat, belt , boots as an official dress. 2) the soldiers wore helmet, scarf, yangdang-kap , hung-kap, bak-kap, we-yo-kap, kun-kap and jok-kap and carries arms. 3) The young boys bind his hair up one, two and three angle shape an tied up a hair ribbons. 나) Women's wear : 1. Hair Style and hair dress : high rank ladies made their hair top knot (one, two, or more knots) and tied with hair ribbons , and decorated with precious stone, pan shape head dress , wheel shape head dress. 2. Clothes ; 1) high rank ladie's wore kun -kyun attached jacket , and jacket sleeves decorated pleats and pleats decorated on skirt, apron, back apron, knot belt, scarf.

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A Study of Costumes of the 18th Century, Appearing in Genre Paintings from the King Young-Cho Period to the King Jung-Cho Period: Focused upon the Works of Focused upon the Works of Mung-Hyun Oho, Yong Yun, In-Sang Lee, Hee-Eon Kang (영ㆍ정조 시대의 속화에 나타난 18C 복식에 관한 연구 -오명현, 윤용, 이인상, 강희언, 작품을 중심으로-)

  • 최은주
    • The Research Journal of the Costume Culture
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    • v.12 no.5
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    • pp.859-879
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    • 2004
  • As a result of research, the characteristics of the general costumes from the king Young-Cho period to the king Jung-Cho period in Genre Paintings of Mung-Hyun Oho, Yong Yun, In-Sang Lee, Hee-Eon Kang follows. First, the typical man wore his hair in a topknot(sangtu), and put on 'Bung-gu-ji', 'Lip', or a scarf on his head. The length of the 'Jeogori'(Korean traditional jacket) was long enough to cover the waist. Dress for work had side slits, and had half length sleeve Jeogori, and short pants looked like 'Jam-bang-i'. They went barefoot and wore 'Jipsin'(Korean traditional straw shoes). Dress for outdoor was 'Po' that knot at front of chest by band. 'Baji'(slacks) were with knot below knee, worn 'Hang-jun'(ankle band) and the width of slacks was suitable. They were 'Beoseon'(Korean traditional socks) and shoes. Second those in the upperc1ass and those in the military put on 'Mang-geon', 'Gat', 'Sa-bang-gan', 'Tang-geon', 'Bok-geon' on their head on a topknot. Most of them wore 'So-chang-i', 'Jung-chi-mag' or 'Do-po'. The length of Jeogori covered the waist or the hip and were tied with 'Go-rum'(ribbon). Baji was tied with Hang-jun and 'Dae-nim'. The waist of the slacks were tied with a dark colored waist-band and folded down their waist of slacks. They wore white color Beoseon and 'Hye' or dark color leather shoes. They wore 'Sup'(assistant of arm) for bow. It showed the lifestyle of the 18C with fan, 'Be-ru', 'Mug', 'Yun-jug', teacup, pot, etc. Third, child's hair was short or knotted to the back of the head. The length of Jeogori reached waist line, Git of Jeogori was 'Dunggurai-Kit'(shape of round) and other style Jeogori, which reached the hip line, had side-slit. Baji was tied with Dae-nim, and the width of the slacks is suitable. They hang 'Yum-nang'(Pocket). Final, most women worked outdoors wearing their hair in a high twisted style, or covered it with scarf. They wore Jeogori and 'Chima'(Korean traditional skirts), Bagi. They folded up the sleeves of the Jeogori. And they folded the 'Jambang-i-styled' pants to just above the knees, fastening at the waist. When they wore skirts, they also wore underpants under the skirt that went down to the knees. Most of them went barefoot and wore straw shoes, Jipsin. Through genre paintings, we can understand the ways and forms of our ancestor's clothing. And with our understanding, interest, and passion, we can be familiar with Hanbok in our daily life by succeeding and creating its peculiar style. And then we can promote the globalization of Hanbok.

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