• 제목/요약/키워드: and symmetry

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대칭특성을 이용한 타원형 객체의 외형기반 부분인식에 관한 연구 (Contour-Based Partial Object Recognition Of Elliptical Objects Using Symmetry)

  • 조준서
    • 정보처리학회논문지B
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    • 제13B권2호
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    • pp.115-120
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    • 2006
  • 이 논문에서 겹쳐지고 잘린 이미지내의 타원형 객체들 가운데 부분적으로 겹쳐져 보이지 않는 외형과 영역을 재구성하고 계산하기 위한 방법을 제안한다. 대칭적인 속성에 기반을 두고, 불완전한 객체 인식을 위해 타원형 객체의 윤곽에 기반을 둔 방법이다. 이 방법은 한 객체 안에서 대칭 축을 이용하는 영역 복사를 통한 겹쳐져 보이지 않는 영역을 재구성하는 간결한 기교를 제공한다. 부분적으로 겹쳐져 보이지 않는 영역에 대한 측정된 변수에 기반을 두고, 분류 트리의 객체 인지를 수행하는데, 이 방법은 통계 수치보다 대칭에 기반을 둔 객체 재구성에 의존하기 때문이다. 이는 크기 변경과, 객체의 자세, 회전, 등에서 비록 객체 자세에는 한계를 가지고 있지만 부분적으로 겹쳐져 보이지 않는 객체의 인지에서 탁월하다.

ON HORIZONTAL LIGHTLIKE HYPERSURFACES OF ROBERTSON-WALKER SPACETIMES

  • Liu, Ximin;Pan, Quanxiang
    • 대한수학회논문집
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    • 제30권2호
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    • pp.109-121
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    • 2015
  • In this paper, we investigate horizontal lightlike hypersurfaces of Robertson-Walker spacetimes. Some results involving the unique existence of the screen distribution and the symmetry of the induced Ricci curvature tensor of horizontal lightlike hypersurfaces are presented. We also obtain some properties concerning the symmetry and the parallelism of the second fundamental forms of such lightlike hypersurfaces.

Test of Symmetry against Near Type III Positive Biasedness

  • Oh, Myong-Sik
    • 한국통계학회:학술대회논문집
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    • 한국통계학회 2003년도 추계 학술발표회 논문집
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    • pp.63-68
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    • 2003
  • One of the widely accepted assumptions in many statistical problem is that the underlying distribution is symmetric. Though a large number of nonparametric test are available in the literature for this problem, very few procedures focuses on the distributional structure when the symmetry assumption is rejected. Yanagimoto and Sibuya (1972) provided the various types of asymmetric distributional structure, positive biasedness, namely. In this paper we consider the test of symmetry against several new positive biasedness restrictions which are stronger than Yanagimoto and Sibuya's type II bias but weaker than type IV (III) bias.

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보존률과 미분방정식의 대칭성 -뇌터의 정리를 중심으로- (Conservation Laws and Symmetry of Differential Equations -stories about E. Noether's Theorem-)

  • 한종규
    • 한국수학사학회지
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    • 제31권5호
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    • pp.211-222
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    • 2018
  • This paper surveys the theory of symmetry group of differential equations. A proof of the simplest version of the Noether's theorem on conservation laws has been presented with examples in the classical mechanics. As a new approach to the conservation laws the theory of characteristic cohomology due to S. H. Wang and others has been presented.

SYMMETRY OF SPECIAL COMPOSITION OPERATORS ON THE HARDY SPACE

  • Young-Bok Chung
    • 호남수학학술지
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    • 제46권1호
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    • pp.60-69
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    • 2024
  • We consider a special orthonormal basis for the Hardy space of the unit disc to compute the matrix representations of the composition operators with respect to the basis particulary associated to two symbols which are the inverse and the origin symmetry of the Riemann self map in the unit disc, and then we find a certain symmetry of the matrices.

편측 정적스트레칭이 보행 비대칭자의 하지 유연성과 대칭성 및 시간적 보행 변인에 미치는 영향 (Effects of Unilateral Static Stretching on Flexibility and Symmetry of Lower Leg, and Temporal Gait Variables in Gait Asymmetry People)

  • 권영애;유경태;이호성
    • 대한물리의학회지
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    • 제15권3호
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    • pp.89-98
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    • 2020
  • PURPOSE: This study investigated the effects of unilateral static stretching on the flexibility and symmetry of the lower leg, and temporal gait variables in gait asymmetry people. METHODS: Twenty gait asymmetry people were divided into a unilateral static stretching group (USG, n = 10) and control group (CON, n = 10). The USG performed unilateral static stretching for 60 minutes, three times a week, and eight weeks. The flexibility of the lower leg (SR), and symmetry (BR), and temporal gait variables (Step length; SL, gait speed; GS) were measured before, after four and eight weeks of unilateral static stretching. Moreover, SI (symmetry index; SI) was calculated from the measured SL value. Statistical analyses were conducted using one-way ANOVA and two-way ANOVA with repeated measures, a paired t-test, and multiple comparisons according to Scheffe. RESULTS: SR and BR in the dominant and non-dominant side, and GS were increased significantly at USG after eight-weeks compared to before unilateral static stretching (p < .05). The difference in BR in the dominant and non-dominant side, and step length (SI) decreased significantly at USG after eight-weeks compared to before unilateral static stretching (p < .05). CONCLUSION: Unilateral static stretching improves the flexibility and symmetry of the lower leg, and temporal gait variables in gait asymmetry people.

EQUIVALENCE CONDITIONS OF SYMMETRY PROPERTIES IN LIGHTLIKE HYPERSURFACES OF INDEFINITE KENMOTSU MANIFOLDS

  • Lungiambudila, Oscar;Massamba, Fortune;Tossa, Joel
    • 대한수학회보
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    • 제53권4호
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    • pp.1259-1280
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    • 2016
  • The paper deals with lightlike hypersurfaces which are locally symmetric, semi-symmetric and Ricci semi-symmetric in indefinite Kenmotsu manifold having constant $\bar{\phi}$-holomorphic sectional curvature c. We obtain that these hypersurfaces are totally goedesic under certain conditions. The non-existence condition of locally symmetric lightlike hyper-surfaces are given. Some Theorems of specific lightlike hypersurfaces are established. We prove, under a certain condition, that in lightlike hyper-surfaces of an indefinite Kenmotsu space form, tangent to the structure vector field, the parallel, semi-parallel, local symmetry, semi-symmetry and Ricci semi-symmetry notions are equivalent.

STATISTICAL VALIDATION OF SYMMETRY IN ESTIMATION OF GROUNDWATER CONTAMINANT CONCENTRATIONS

  • Cho, Choon-Kyung;Sungkwon Kang
    • Journal of applied mathematics & informatics
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    • 제13권1_2호
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    • pp.335-351
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    • 2003
  • Spatial distribution of groundwater contaminant concentration has special characteristics such as approximate symmetric profile, for example, in the transversal direction to groundwater flow direction, a certain ratio in directional propagation distances, etc. To obtain a geophysically appropriate semivariogram which is a key factor in estimation of groundwater contaminant concentration at desired locations, these special characteristics should be considered. In this paper, a method for finding appropriate symmetric axes is introduced. Statistical analyses for the choices of symmetric axes and mathematical models for semivariograrns are performed. After implementing symmetry, the corresponding semivariograrns, kriging variances, and final estimated results show significant improvement compared with those obtained by conventional approaches which usually do not account for symmetry.

원형빌렛으로부터 타원단면 및 S단면 가진제품의 압출가공의 DEFORM-3DTM에 의 한 비틀림 해석 비교 (A Comparision of the Twisting of Extrusion of Elliptical Shape with that of S shape from Round Billet by DEFORM-3DTM Software)

  • 김진훈;김한봉;진인태
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1997년도 춘계학술대회논문집
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    • pp.136-139
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    • 1997
  • Applications of commercial software DEFORM-3DTM for 3-D simulation in extrusion process are developed for the analysis of twisting of extruded products. Because the elliptical shape has at least one line symmetry, the twisting is not occured during the extrusion. But, the results of extrusion simulation of the elliptical shape show that the twisted boundary of the die surface makes the material inside die surface rotate with the constant angular velocity. Otherwise, the simulation results of the S shaped product show that the twisting can be occured by the only 180$^{\circ}$rotation symmetry of S shape without no line symmetry and show that the angular velocity increases by the only 180$^{\circ}$rotation symmetry without no twisted die surface between on the die entrance section and on the die exit section. The results of the analysis show that the angular velocity of the extruded product changes with die length and friction condition.

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Effects of d-wave symmetry on the critical current of YBCO step-edge Josephson junction

  • Hwang, Yun-Seok;Moon, Sunk-Yung;Ahn, Jong-Rok;Lee, Soon-Gul;Kim, Jin-Tae
    • 한국초전도학회:학술대회논문집
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    • 한국초전도학회 2000년도 High Temperature Superconductivity Vol.X
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    • pp.99-102
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    • 2000
  • We have studied the effects of d-wave symmetry on the critical current of YBa$_2$Cu$_3$O$_7$ step-edge Josephson junctions. The critical current along various misorientation angle was measured and analyzed with the concept of grain-boundary junctions with d-wave symmetry. Experimental results of c-oriented YBCO step-edge junctions with various in-plane misorientation angles were qualitatively in good agreement with the theory. The out-of-plane misorientation angle is usually formed between two grains with the c axes perpendicular to each other and is normally not controllable.

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