• 제목/요약/키워드: and symmetric group

검색결과 204건 처리시간 0.028초

WHEN ALL PERMUTATIONS ARE COMBINATORIAL SIMILARITIES

  • Viktoriia Bilet;Oleksiy Dovgoshey
    • 대한수학회보
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    • 제60권3호
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    • pp.733-746
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    • 2023
  • Let (X, d) be a semimetric space. A permutation Φ of the set X is a combinatorial self similarity of (X, d) if there is a bijective function f : d(X × X) → d(X × X) such that d(x, y) = f(d(Φ(x), Φ(y))) for all x, y ∈ X. We describe the set of all semimetrics ρ on an arbitrary nonempty set Y for which every permutation of Y is a combinatorial self similarity of (Y, ρ).

조선전기 직금흉배직물 연구 (A Study of Jik-geum Hyoong-bae Textile in the Early Joseon Dynasty)

  • 심연옥
    • 한국의상디자인학회지
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    • 제15권4호
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    • pp.113-128
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    • 2013
  • Those records indicate that Jik-geum Hyoong-bae fabric was imported from China and its period was during the fourteen and fifteen century. Gold threads used in three Jik-geum Hyoong-bae artifacts were all wrapped gold thread and gold thread of Danryeong from Young-dukdong, Yong-in, did not have a base, but instead the gold foil itself was attached to the silk cord. Such form of artifact had never been discovered before in Korea. Wrapped gold thread of Seoknamdong's basis was presumably bamboo paper. Three Jik-geum Hyoong-bae have the same weave structure. The ground is woven in a warp-faced 5-end satin weave. The pattern is brocaded with supplementary gold wefts. Supplementary gold wefts are composed of 1/4 twill binding by the odd number pairs of warps within every group of 10 pairs of warps. All of the Jik-geum Hyoong-bae textile were designed and weaved according to the overlapped collared costume's structure. This is also known as 'Jik-seong-pil-ryo'. One symmetric collared jacket excavated in Seok-namdong, Incheon, only has the right half of Hyoong-bae in the front. This is because symmetric collared jacket was made from overlapped collared costume. Tiger and peacock are the main patterns of Jik-geum Hyoong-bae which have realistic and free screen composition and this shows a huge difference to the later generation's standardized Hyoong-bae pattern.

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비대칭 압연과 시효 시퀀스가 Al-Zn-Mg-Cu합금의 미세조직과 기계적 특성에 미치는 영향 (Effects of Asymmetric Rolling and Aging Sequence on Microstructure and Mechanical Properties of Al-Zn-Mg-Cu Aluminum Alloys)

  • 정민경;이종범;김수현;한준현
    • 열처리공학회지
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    • 제36권5호
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    • pp.285-297
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    • 2023
  • The effects of aging treatment sequence, specifically pre-aging and post-aging, on the microstructure and mechanical properties of Al-Zn-Mg-Cu aluminum alloys has been studied in comparison to symmetrically rolled specimens. In symmetrically rolled specimens, a straight-band precipitation distribution was observed, whereas asymmetrically rolled specimens exhibited a curved-band microstructure of fine precipitates. Notably, the asymmetrically rolled specimens displayed higher strengths. In the case of post-aging, the aging process occurred after rolling, and the dislocations generated during rolling acted as nucleation sites for precipitates during aging. This resulted in the formation of fine precipitates, contributing to improved mechanical properties compared to symmetric rolling. To enhance strength of the Al-Zn-Mg-Cu aluminum alloys, asymmetric rolling proves to be more effective than symmetric rolling, with post-aging showing greater efficacy than pre-aging.

STRONG COMPATIBILITY IN CERTAIN QUASIGROUP NONUNIFORM HOMOGENEOUS SPACES OF DEGREE 4

  • Im, Bokhee;Ryu, Ji-Young
    • 호남수학학술지
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    • 제41권3호
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    • pp.595-607
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    • 2019
  • We consider quasigroups $Q({\Gamma})$ obtained as certain double covers of the symmetric group $S_3$ of degree 3, for directed graphs ${\Gamma}$ on the vertex set $S_3$. We completely characterize the strong compatibility of elements of $Q({\Gamma})$ for any quasigroup nonuniform homogeneous space of degree 4. For such homogeneous spaces, we classify all the strong and weak compatibility graphs of $Q({\Gamma})$.

A NOTE ON g-SEMISIMPLICITY OF A FINITE-DIMENSIONAL MODULE OVER THE RATIONAL CHEREDNIK ALGEBRA OF TYPE A

  • Gicheol Shin
    • 충청수학회지
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    • 제36권2호
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    • pp.77-86
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    • 2023
  • The purpose of this paper is to show that a certain finite dimensional representation of the rational Cherednik algebra of type A has a basis consisting of simultaneous eigenvectors for the actions of a certain family of commuting elements, which are introduced in the author's previous paper. To this end, we introduce a combinatorial object, which is called a restricted arrangement of colored beads, and consider an action of the affine symmetric group on the set of the arrangements.

암호화된 이미지에서 대칭키 암호화 알고리듬을 이용한 가역 비밀이미지 공유 기법 (Reversible Secret Sharing Scheme Using Symmetric Key Encryption Algorithm in Encrypted Images)

  • 전병현;신상호;정기현;이준호;유기영
    • 한국멀티미디어학회논문지
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    • 제18권11호
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    • pp.1332-1341
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    • 2015
  • This paper proposes a novel reversible secret sharing scheme using AES algorithm in encrypted images. In the proposed scheme, a role of the dealer is divided into an image provider and a data hider. The image provider encrypts the cover image with a shared secret key and sends it to the dealer. The dealer embeds the secret data into the encrypted image and transmits encrypted shadow images to the corresponding participants. We utilize Galois polynomial arithmetic operation over 28 and the coefficient of the higher-order term is fixed to one in order to prevent the overflow. In experimental results, we demonstrate that the PSNR is sustained close to 44dB and the embedding capacity is 524,288 bits.

우성안에 따른 길이식별 인지능력 차이에 관한 연구 (The Study on Difference in Length Cognition Ability in Dominant Eye)

  • 남건우;박대성
    • 대한물리치료과학회지
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    • 제15권4호
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    • pp.11-17
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    • 2008
  • Background: Human body is formed of symmetric bilateral structures that are comprised of eye, upper arm, lower arm and etc. but, we are used only dominant components. The purpose of this study was to analysis length cognition ability in dominant eye. Methods: Total 88 persons (male 18, female 70) were participated in this study. They were tested with ‘hole in the card’ test for identification of dominant eye's side, then the length cognition ability was measured in right & left axillary level by describing 10cm line. Results: The results by independent t-test were as follows. In difference of length cognition ability in right axillary level between right dominant eyed group & left dominant eyed group, right dominant eyed group was superior to left dominant eyed group, but significant difference was not existed statistically(p>.05). In left axillary level, right dominant eyed group was superior to left dominant eyed group, but significant difference was not existed statistically(p>.05). Conclusion: These result can be applied to the learning of palpation & observation skill in physical therapy, although this study was not identify a relation between dominant eye & dominant hand.

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STUDY OF M82 USING SPECTRA FROM THE INFRARED SPACE OBSERVATORY

  • SOHN JUNGJOO;ANN H. B.;PAK SOOJONG;LEE H. M.
    • 천문학회지
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    • 제34권1호
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    • pp.17-24
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    • 2001
  • We have studied the central parts of M82, which is a well-known infrared luminous, starburst galaxy, by analyzing archival data from the Infrared Space Observatory (ISO). M82 was observed at 11 positions covering $\pm$45" from the center along the major axis. We analyzed 4 emission lines, [ArIII] 8.99 ${\mu}m$, $H_2$ 17.034 ${\mu}m$, [FeII] 25,98 ${\mu}m$, and [SiII] 34,815 ${\mu}m$ from $SWSO_2$ data. The integrated flux distributions of these lines are quite different. The $H_2$ line shows symmetric twin peaks at $\~$18" from the center, which is a general characteristic of molecular lines in starburst or barred galaxies. This line appears to be associated with the rotating molecular ring at around $\~$200 pc just outside the inner spiral arm. The relative depletion of the $H_2$ line at the center may be due to the active star formation activity which dissociates the $H_2$ molecules. The other lines have peaks at the center and the distributions are nearly symmetric. The line profiles are deconvolved assuming that both intrinsic and instrumental profiles are Gaussian. The velocity dispersion outside the core is found to be $\~50 km s^{-1}$. The central velocity dispersion is much higher than $50 km s^{-1}$, and different lines give different values. The large central velocity dispersion ($\sigma$) is mostly due to the rotation, but there is also evidence for a high $\sigma$ for [ArIII] line. We also generated position-velocity maps for these four lines. We found very diverse features from these maps.

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리듬청각자극을 동반한 경사 트레드밀 보행훈련이 뇌졸중 환자의 균형 및 보행에 미치는 영향: 예비연구 (Effects of Inclined Treadmill Walking Training with Rhythmic Auditory Stimulation on Balance and Gait in Stroke Patients: A pilot study)

  • 윤성경;강순희
    • 대한통합의학회지
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    • 제3권4호
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    • pp.69-78
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    • 2015
  • Purpose: The purpose of this study was to identify whether inclined treadmill gait training with rhythmic auditory simulation (RAS) could improve on balance and gait in stroke patients. Method: Fifteen stroke patients who had agreed with the study were allocated to the group 1(n=5), group 2(n=5), or group 3(n=5). The group 1, group 2 and group 3 performed RAS with inclined treadmill gait training, inclined treadmill gait training and treadmill without incline gait training respectively for 3 weeks (30 minutes per session, 5 times in a week). The balance was assessed using Timed Up & Go (TUG) and Berg Balance Sale (BBS), and the gait was evaluated using 6 Minutes Walking Test (6MWT) and spatio-temporal walking variables as walking speed, cadence, Single Limb Support of affected side(SLS) and Symmetric Index(SI) before and after training. Result: Both the group 1 and group 2 showed significant improvement after training in all variables of balance and gait. The group 3 showed significant improvement in TUG values, 6MWT values, walking speed, cadence and SI. The changes in the group 1 were significantly greater in all dependent variables of balance and gait than those of the group 2 and group 3. The changes in the group 2 were significantly greater in TUG values, BBS scores, 6MWT values, walking speed, and cadence than those of the group 3. Conclusion: The result of this study show inclined treadmill gait training with RAS is more effective to improve balance and gait in stoke patients than inclined treadmill or general treadmill gait training without RAS.