• 대한수학회보
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• 제55권2호
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• pp.611-624
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• 2018

In this paper, we study Weierstrass semigroups of ramification points on double covers of plane curves of degree 6. We determine all the Weierstrass semigroups when the genus of the covering curve is greater than 29 and the ramification point is on a total flex.

• 대한수학회보
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• 제56권5호
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• pp.1159-1186
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• 2019

In this paper, we study plane curves of degree 6 with points whose multiplicities of the tangents are 5. We determine all the Weierstrass semigroups of ramification points on double covers of the plane curves when the genera of the covering curves are greater than 29 and the ramification points are on the points with multiplicity 5 of the tangent.

• 대한수학회지
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• 제37권3호
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• pp.437-454
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• 2000

Let C be a smooth k-gonal curve of genus g. We study the number of pencils of degree k on C. In case $g\geqk(k-a)/2$ we state a conjecture based on a discussion on plane models for C. From previous work it is known that if C possesses a large number of pencils then C has a special plane model. From this observation the conjectures are split up in two cases : the existence of some types of plane curves should imply the existence of curves C with a given number of pencils; the non-existence of plane curves should imply the non-existence of curves C with some given large number of pencils. The non-existence part only occurs in the range $k(k-1)/2\leqg\leqk(k-1)/2] if k\geq7$. In this range we prove the existence part of the conjecture and we also prove some non-existence statements. Those result imply the conjecture in that range for $k\leq10$. The cases $k\leq6$ are handled separately.

• 대한치과보철학회지
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• 제30권3호
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• pp.321-337
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• 1992

The objective of this study was to compare the condylar path and the anterior angle of articular fossa and to analyze the pattern of condylar path in edentulus patients. Nineteen male and female edentulous patients with normal masticatory system ranging in age 42 to 78, without present symptoms and any history of TMJ disturbance were selected for this study. On the computer analysis on the transcranial radiographs of the TMJ, the angle of slope of articular eminance and condylar path to the Frankfort Horizontal Plane and the height of glenoid fossa was measured respectively, and stuied their interrelationship comparatively. Obtained results were asfollows. 1. The angle of the slope of articular eminence averaged 37.28 degree. and there was no significant difference between the right and left side. 2. The condylar path angle averaged 29.05 degree and there was no significant difference between the right and left side. 3. The height of the glenoid fossa averaged 8.11 mm and there was no significant difference between the right and left side. 4. The sequence of the frequence of condylar movement patterns were concavex curve(39.5% ), 'S' shape curve(34.2%), reverse 'S' shape(15.8%) and convex curve(10.5%). 5. The horizontal distance of the point of the changed curve of the condylar path averaged 2.91 mm. 6. The height of glenoid fossa was highly correlated to the slope of articular eminence and relatively highly correlated to tile condylar path and the condylar path was closely correlated to the slop of articular eminence.

• 한국지반환경공학회 논문집
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• 제13권6호
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• pp.59-66
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• 2012

본 연구의 목적은 다양한 경사를 가진 비탈면에서 토석류의 거동과 메카니즘을 평가하는 것이다. 수치모의는 질량보존 및 운동량 보존에 관한 방정식에 기초하여 유한차분법을 이용하여 수행되었다. 토석류 유동 메카니즘은 토석류, 소류집합유동, 소류이동 등의 3가지 형태로 나눌 수 있다. 우선 하류부에서 공급유량의 변화에 따른 직선 사면과 2단 경사 사면에 대한 유량, 유동심, 토사체적 농도를 조사하였다. 공급유량이 적을수록 토석류가 도달한 직후에만 유량과 유동심의 상승이 있었고, 이후 감소하는 경향을 나타내지만, 공급유량의 증가로 인해 유량과 유동심의 곡선이 불안정하면서 높게 나타났다. RMS비 비교 결과 2단 경사 비탈면이 직선 비탈면보다 유량과 유동심이 적게 나타난 것을 확인하였다. 둘째, 2단 경사 비탈면에서 하류부의 경사각도 변화에 따른 유량, 유동심, 토사체적 농도를 조사하였다. 하류부 경사각도 $14^{\circ}$와 $16^{\circ}$사이의 유량과 유동심 곡선의 밴드폭이 다른 각도 사이보다 크게 나타났으며, 10초 이후에는 높은 값의 파동이 지속된다는 것을 확인하였다.