• Bulletin of the Korean Mathematical Society
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• v.55 no.2
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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.

• Bulletin of the Korean Mathematical Society
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• v.56 no.5
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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.

• Journal of the Korean Mathematical Society
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• v.37 no.3
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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.

• The Journal of Korean Academy of Prosthodontics
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• v.30 no.3
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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.

• Journal of the Korean GEO-environmental Society
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• v.13 no.6
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• pp.59-66
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• 2012

The purpose of this study is to estimate the behavior and the mechanism of debris flow on the slope, which has specially various gradient plane. The numerical simulation was performed by using the Finite Differential Element method (FDM) based on the equation for the mass conservation and momentum conservation. The mechanism of flow type for debris flow is divided into three flow types which are stony debris flow, immature debris flow, and turbulent water flow, respectively. First, flow discharge, water flow depth, sediment volume concentration was investigated by variable input of flow discharge at the straight slope angle and two step inclined plane. As the input of flow discharge was decrease, flow discharge and water flow depth was increased, after the first coming debris flow only reached at the downstream. As the input of flow discharge was increased, the curve of flow discharge and flow depth was highly fluctuated. As the results of RMS ratio, the flow discharge and flow depth was lower two step slope angle than the straight slope angle. Second, the behavior of debris flow was investigated by the four cases of gradient degree at the downstream of slope angle. The band width of flow discharge and flow depth for $14^{\circ}$ between $16^{\circ}$ was higher than other gradient degree, and fluctuation curve was continuously high after 10 seconds.