• Title/Summary/Keyword: center symmetry

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SYMMETRY OVER CENTERS

  • KIM, DONG HWA;LEE, YANG;SUNG, HYO JIN;YUN, SANG JO
    • Honam Mathematical Journal
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    • v.37 no.4
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    • pp.377-386
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    • 2015
  • The symmetric ring property was due to Lambek and provided many useful results in relation with noncommutative ring theory. In this note we consider this property over centers, introducing symmetric-over-center. It is shown that symmetric and symmetric-over-center are independent of each other. The structure of symmetric-over-center ring is studied in relation to various radicals of polynomial rings.

The Geometrical Analysis of Vibration Modes and Frequency Responses of an Elastically Suspended Optical Disc Drive (탄성적으로 지지된 광디스크 드라이버의 진동모드와 주파수 응답의 기하적 해석)

  • Dan, Byeong-Ju;Choe, Yong-Je
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.2 s.173
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    • pp.362-369
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    • 2000
  • Via screw theory, a vibration mode can be geometrically interpreted as a pure rotation about the vibration center in a plane and as a twisting motion on a screw in a three dimensional space. In thi s paper, applying the conditions that can be used to diagonalize the stiffness matrix by a parallel axis congruence transformation, the vibration modes and frequency response of an elastically suspended optical disc drive have been analyzed. It is first shown that the system has one plane of symmetry, which enables one to decouple the complicated vibration modes into two sets of modes independent of each other. Having obtained the analytical solutions for the axes of vibrations, the frequency response for a given applied input force has been demonstrated. Most importantly, it has been explained that this research result could be used in the synthesis process of a linear vibration system in order to improve the frequency response.

Studies on the Crystal Structure of Benzidine Perchlorate by X-ray Diffraction Method (I) Relation between the Space Group and the Composition of the Diamine Salt Crystal (X-線 廻折法을 利用한 벤지딘過鹽素酸鹽의 結晶構造에 關한 硏究 (I) 空間群과 Diamine 鹽 結晶의 組成과 關係)

  • Koo, Chung-Hoe;Sa Kong, Yul;Kang, Man-Hyong;Shin, Hyun-So
    • Journal of the Korean Chemical Society
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    • v.14 no.1
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    • pp.119-122
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    • 1970
  • In those six kinds of diamine salt crystal of which their structures had already been determined up to date, commonly one molecule of diamine and two molecules of acid were combined; although the crystal of benzidine perchlorate, only one molecule each of benzidine and perchloric acid were combined. At the case of benzidine perchlorate, one molecule acts as the role of two molecules by coincidence of the center of symmetry point of both the lattice and molecule, and perchlorate ion is locating symmetrically between two -$NH_2$ groups of different benzidine molecule, therefore benzidine and acid could be combined together with 1:1 by mole ratio. When forming the salt with diamine and acid, the combining mole ratio would be determined in accordance with the relationship between the symmetry element that presented by the space group and the symmetry element of diamine salt melecule.

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Circle Detection Using Its Maximal Symmetry Property

  • Koo, Ja Young
    • Journal of the Korea Society of Computer and Information
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    • v.21 no.6
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    • pp.21-28
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    • 2016
  • Circle detection has long been studied as one of fundamental image processing applications. It is used in divers areas including industrial inspection, medial image analysis, radio astronomy data analysis, and other object recognition applications. The most widely used class of circle detection techniques is the circle Hough transform and its variants. Management of 3 dimensional parameter histogram used in these methods brings about spatial and temporal overheads, and a lot of studies have dealt the problem. This paper proposes a robust circle detection method using maximal symmetry property of circle. The basic idea is that if perpendicular bisectors of pairs of edges are accumulated in image space, center of circle is determined to be the location of highest accumulation. However, directly implementing the idea in image space requires a lot of calculations. The method of this paper reduces the number of calculations by mapping the perpendicular bisectors into parameter space, selecting small number of parameters, and mapping them inversely into image space. Test on 22 images shows the calculations of the proposed method is 0.056% calculations of the basic idea. The test images include simple circles, multiple circles with various sizes, concentric circles, and partially occluded circles. The proposed method detected circles in various situations successfully.

A Study on the Periodic Characteristics of Design Expression in the Facade of the Main Adminstration Building in University (대학교 본관 파사드에 나타난 연대별 디자인 표현 특성)

  • Seo, Hee-Sook
    • Korean Institute of Interior Design Journal
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    • v.19 no.4
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    • pp.11-21
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    • 2010
  • The purpose of this study is to examine the design characteristic of the facade of the main adminstration building in university. The main administration building which is a basic of educational facilities has various administration setups, such as the register's office, the student affairs section, the planing department, the general affair's office and so on. This building performs academic, administration, facilities management, and admissions service. Also, the building has an ideological, historical, and symbolic image, having an organic relationships with the other educational facilities. This study choose one hundred seven universities, except universities that does not provide information easily and the second campus which does not have the main administration building, as the subjects of the study. The analysis is derived from the design elements applied to facade design of the main administration building and this is divided into design principles(balance symmetry, contrast, rhythm), the formal composition(geometrical, linear), and the style of architecture(classical architecture and modern architecture). The results of the research are summarized as follows: The design characteristic of the facade of the main adminstration building in university has chronologically changed. First of all, in the 1940's, symmetry emphasized on the center of building, superimposition, division, pediment, and arch were marked. Then, superimposition was prominent in the 1950's and symmetry emphasized on the center of building was shown in the 1960s again. Flat roof was in the 1970's, 1990s and 2000's. Finally, pediment was dominant in the 1980's. The design elements of the main administration building can be samples of chronological styles of architecture. Facade design, with proper design of the past and recent times, includes the meaning that achieve the great purpose of the university by emphasizing visual images.

Reliability for Multiple Reviewers by using Loglinear Models (로그선형모형을 이용한 복수 평가자들간의 신뢰도에 관한 연구)

  • Park, Byung-Joo;Lee, Sung-Im;Lee, Young-Jo;Kim, Dong-Hyun;Kwon, Ho-Jang;Bae, Jong-Myon;Shin, Myung-Hee;Ha, Mi-Na;Han, Sang-Whan
    • Journal of Preventive Medicine and Public Health
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    • v.30 no.4 s.59
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    • pp.719-728
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    • 1997
  • To guarantee the inter-reviewer reliability is very important in evaluating the quality of large number of clinical research papers by multiple reviewers. We cannot find reports on statistical methods for evaluating reliability for multiple raters in clinical research field. The purpose of this paper is to introduce the statistical methods focused on kappa statistic and five kinds of loglinear models for, which can be applied when evaluating the reliability of multiple raters. We have applied these methods to the result of a project, in which seven reviewers have evaluated the quality of 33 papers with regard to four aspects of paper contents including study hypothesis, study design, study population, study method, data analysis and interpretation. Among the five loglinear models including Symmetry model, Conditional symmetry model, Quasi-symmetry model, Independence model, and Quasi-independence model, Quasi-symmetry model shows the best model of fitting. And the level of reliability among seven reviewers revealed to be acceptable as meaningful.

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Method of Human Detection using Edge Symmetry and Feature Vector (에지 대칭과 특징 벡터를 이용한 사람 검출 방법)

  • Byun, Oh-Sung
    • Journal of the Korea Society of Computer and Information
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    • v.16 no.8
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    • pp.57-66
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    • 2011
  • In this paper, it is proposed for algorithm to detect human efficiently using a edge symmetry and gradient directional characteristics in realtime by the feature extraction in a single input image. Proposed algorithm is composed of three stages, preprocessing, region partition of human candidates, verification of candidate regions. Here, preprocessing stage is strong the image regardless of the intensity and brightness of surrounding environment, also detects a contour with characteristics of human as considering the shape features size and the condition of human for characteristic of human. And stage for region partition of human candidates has separated the region with edge symmetry for human and size in the detected contour, also divided 1st candidates region with applying the adaboost algorithm. Finally, the candidate region verification stage makes excellent the performance for the false detection by verifying the candidate region using feature vector of a gradient for divided local area and classifier. The results of the simulations, which is applying the proposed algorithm, the processing speed of the proposed algorithms is improved approximately 1.7 times, also, the FNR(False Negative Rate) is confirmed to be better 3% than the conventional algorithm which is a single structure algorithm.

Evaluation for Symmetry Ability of One Leg Standing Pose before and after Yoga Training (요가수련전후 한발서기자세의 좌우대칭력 평가)

  • Yoo, Sil
    • Korean Journal of Applied Biomechanics
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    • v.24 no.4
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    • pp.391-397
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    • 2014
  • The purpose of this work is to biomechanically study the effect of the one leg standing pose in yoga.. The work have been done through the evaluation for the left and right symmetry ability of one leg standing pose in the before and after yoga training for the 14 female yoga subject group (height: $164.3{\pm}4.4cm$, mass: $53.4{\pm}6.4kg$, year: $20.0{\pm}0.49yrs$) participated in this experiment. The motions of one leg standing pose were captured with Vicon system and the parameters were calculated with Visual-3D and Ground reaction force system. The results were as followed; - Front and backward COPsd did not show the significant difference, compared the before training with the after. - Left and right COPsd showed the significant difference (p<0.05), compared the before training with the after. - COP distance showed the significant difference (p<0.01), compared the before training with the after. - The asymmetry index of front and backward COPsd did not show the significant difference, compared the before training with the after. - The asymmetry index of left and right COPsd did not show the significant difference, compared the before training with the after. - The asymmetry index of COP distance showed the significant difference (p<0.01), compared the before training with the after. Therefore, the yoga training demonstrated the stable improvement in the one leg standing pose of inferior feet and the positive effect to the left and right symmetry ability.

3D Gait Analysis of Limb Salvage Patients with Osteoarticular Knee Allograft Reconstruction (슬관절 동종골을 이용한 사지 구제수술 환자의 3차원 보행분석)

  • Jang, Ik-Gyu;Park, Hong-Seong;Nam, Kyoung-Won;Hong, Man-Bok;Kim, Soo-Hyun;Kim, Han-Soo;Kang, Hyun-Guy;Kim, Kwang-Gi
    • Journal of Biomedical Engineering Research
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    • v.31 no.1
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    • pp.74-80
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    • 2010
  • This paper presents the three dimensional gait analysis of the patients with osteoarticular knee allograft reconstruction. The gait analysis has been performed in some medical fields such as orthopedics and neurosurgery for the purpose of the rehabilitation of patients. However, to the author's knowledge, the analysis of gait for the patients with osteoarticular knee allograft reconstruction caused by tumor has not been reported. In this work, In this work, we confirmed the validity of this method by analyzing 50 samples per one gait cycle obtained from each of 3 patients and 3 normal persons. The motion capture was performed using six infrared cameras. The symmetry and stability of the gait patterns are investigated (patients' r=0.39, p<0.05, normal persons' r=0.65, p<0.05) respectively using the correlation coefficients and the standard deviations of the joint angles of the left and right legs. It also would be applied to the comparison analysis where artificial knee joint is transplanted.

EXPLICIT EQUATIONS FOR MIRROR FAMILIES TO LOG CALABI-YAU SURFACES

  • Barrott, Lawrence Jack
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.1
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    • pp.139-165
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    • 2020
  • Mirror symmetry for del Pezzo surfaces was studied in [3] where they suggested that the mirror should take the form of a Landau-Ginzburg model with a particular type of elliptic fibration. This argument came from symplectic considerations of the derived categories involved. This problem was then considered again but from an algebro-geometric perspective by Gross, Hacking and Keel in [8]. Their construction allows one to construct a formal mirror family to a pair (S, D) where S is a smooth rational projective surface and D a certain type of Weil divisor supporting an ample or anti-ample class. In the case where the self intersection matrix for D is not negative semi-definite it was shown in [8] that this family may be lifted to an algebraic family over an affine base. In this paper we perform this construction for all smooth del Pezzo surfaces of degree at least two and obtain explicit equations for the mirror families and present the mirror to dP2 as a double cover of ℙ2.