• East Asian mathematical journal
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• 제10권2호
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• pp.255-260
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• 1994

• 대한수학회보
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• 제36권1호
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• pp.15-23
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• 1999

We obtain an efficient upper bound of the area of convex curves of constant relative breadth in the Minkowski plane. The estimation is given in terms of the Minkowski are length of pedal curve of original curve.

• 대한수학회보
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• 제40권3호
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• pp.521-529
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• 2003

In this paper, we get the measure of strips and lines in the Minkowski plane $M^2$ that meet a fixed compact convex body in $M^2$. From this we also investigate the probability that strips and lines meet a fixed compact convex body in $M^2$.

• Kyungpook Mathematical Journal
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• 제60권2호
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• pp.375-385
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• 2020

Minkowski spaces have long been investigated with respect to certain properties and substructues such as hyperbolic curves, hyperbolic angles and hyperbolic arc length. In 2009, based on these properties, Chung et al. [3] defined the basic concepts of special relativity, and thus; they interpreted the geometry of the Minkowski spaces. Then, in 2017, E. Nesovic [6] showed the geometric meaning of pseudo angles by interpreting the angle among the unit timelike, spacelike and null vectors on the Minkowski plane. In this study, we show that hyperbolic angle depends on time, t. Moreover, using this fact, we investigate the angles between the unit timelike and spacelike vectors.

• 한국CDE학회논문집
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• 제8권4호
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• pp.243-253
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• 2003

This paper presents a new geometric morphing algorithm for polygons based on a simple geometric structure called direction map, which is mainly composed of a circular list of direction vectors defined by two neighboring vertices of a polygon. To generate a sequence of intermediate morphing shapes, first we merge direction maps of given control shapes based on a certain ordering rule of direction vectors, and scale the length of each direction vectors using Bezier or blossom controls. We show that the proposed algorithm is an improvement of the previous methods based on Minkowski sum (or convolution) in th aspects of computational efficiency and geometric properties.

• 대한전자공학회논문지
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• 제7권3호
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• pp.12-18
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• 1970

본 논문에서는 광속에 비해서 대단히 낮은 속도로 운동하고 있는 선형, 등방, 균질 매질내에서 크기가 파장과 동등정도이거나 그 이상인 Circular Loop Antenna의 방사특성을 고찰하였다. 고찰에 있어서 우선 운동매질내에서의 전자파방정식인 Maxwell-Minkowski방정식을 토대로 하여 Circular loop antenna에 해당하는 Vector potential을 유도하고 전자계식을 구하였다. 다음 이와같이 유도된 식들로부터 특정한 파장과 속도에 대한 전자계를 계산하고 field pattern을 도시하였으며 이 pattern과 정지매질에서의 field pattern을 비교 검토하였다. 검토한 결과, 지향성은 loop면에 평행한 속도성분에 한하여 속도방향으로는 축소되고 속도와 반대방향으로는 신장되는 사실이 발견되었으며 이 경향은 속도가 클수록 동진주파수가 높을수톡 크게됨을 알수 있었다.