• Journal of the Korean Society of Costume
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• v.60 no.3
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• pp.26-43
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• 2010

The inflow of digital technology into the art, especially in the Fashion Illustration since 1990, makes the new aesthetics of the beginning of the 21 century which the Software aesthetics can be called. The meeting of technology and the art make us recall a great scientist and artist, Leonardo da Vinci in the Renaissance that the notion of the art and skill was unified, same as the ancient history. This study is purposed to expand the concept of the art for the broad exchange of the digital technology and art and for the extensive expression method of the modern fashion illustration. Having views on science theory of the beginning of the 20 century, Theory of Relativity which had given a lot of influence in the philosophy, the litterature and the art, as well as all the science, it makes a connection with the history of art in the beginning of the 20 century and the story of the digital art in the beginning of the 21 century. Firstly, the Fauvism and 2D is based on the expression of the glowing and bright color by the Principle of constancy of light velocity. Secondly, the Cubism and 3D is associated with the Special theory of relativity in the cyberspace which the space and the time are totally accorded. Thirdly, the Futurism and 4D is compared with the General theory of relativity which contains the material and the gravity. They are gradually evolved into the Interactive art and the Kinetic art by the digital technology in the profound cyberspace.

• Bulletin of the Korean Mathematical Society
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• v.50 no.2
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• pp.441-444
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• 2013

It is shown that any two-dimensional globally hyperbolic spacetime with noncompact Cauchy surfaces has no null cut points.

• Journal of The Korean Astronomical Society
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• v.29 no.spc1
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• pp.283-284
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• 1996

Wormhole solutions of general theory of relativity are known to violate energy conditions. We have considered the possibility of having wormhole solutions in Brans-Dicke theory which is the prototype of scalar-tensor theories of gravity.

• Korean Journal of Logic
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• v.14 no.3
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• pp.59-84
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• 2011

Professor Song criticizes my view on the Sleeping Beauty problem in his recent paper which endorses the thirder solution. I shall argue that his criticism is based upon a strong interpretation on my view and that this interpretation is neither unique nor proper. Critically examining recent discussions on observer-relativity of probability I shall claim that my perspectivistic solution to the Sleeping Beauty problem is still plausible.

• Publications of The Korean Astronomical Society
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• v.26 no.2
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• pp.71-87
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• 2011

Gravitational waves are predicted by the Einstein's theory of General Relativity. The direct detection of gravitational waves is one of the most challenging tasks in modern science and engineering due to the 'weak' nature of gravity. Recent development of the laser interferometer technology, however, makes it possible to build a detector on Earth that is sensitive up to 100-1000 Mpc for strong sources. It implies an expected detection rate of neutron star mergers, which are one of the most important targets for ground-based detectors, ranges between a few to a few hundred per year. Therefore, we expect that the gravitational-wave observation will be routine within several years. Strongest gravitational-wave sources include tight binaries composed of compact objects, supernova explosions, gamma-ray bursts, mergers of supermassive black holes, etc. Together with the electromagnetic waves, the gravitational wave observation will allow us to explore the most exotic nature of astrophysical objects as well as the very early evolution of the universe. This review provides a comprehensive overview of the theory of gravitational waves, principles of detections, gravitational-wave detectors, astrophysical sources of gravitational waves, and future prospects.

• Communications of the Korean Mathematical Society
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• v.10 no.1
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• pp.163-173
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• 1995

Inspired in [2,9,10,17], pp. E. Ehrlich and S. B. Kim in [4] cultivated the Riccati equation related to the Raychaudhuri equation of General Relativity for the stable Jacobi tensor along the geodesics to extend the Hawking-Penrose conjugacy theorem to $$ f(t) = Ric(c(t)',c'(t)) + tr(\sigma(A)^2) $$ where $\sigma(A)$ is the shear tensor of A for the stable Jacobi tensor A with $A(t_0) = Id$ along the complete Riemannian or complete nonspacelike geodesics c.

• Kyungpook Mathematical Journal
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• v.58 no.2
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• pp.361-375
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• 2018

The object of the present paper is to study super quasi-Einstein manifolds. Some geometric properties of super quasi-Einstein manifolds have been studied. We also discuss $S(QE)_4$ spacetime with space-matter tensor and some properties related to it. Finally, we construct an example of a super quasi-Einstein spacetime.

• The Bulletin of The Korean Astronomical Society
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• v.39 no.1
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• pp.77.1-77.1
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• 2014

Gravitational waves predicted by the general relativity almost 100 years ago have been implicated indirectly only by astrophysical observations such as the orbital evolution of binary pulsars. The advanced detectors of gravitational waves will become operational in a few years and they are expected to make direct detection of gravitational wave signal coming from merging of binaries composed of neutron stars or stellar mass black holes from external galaxies. Korean Gravitational Wave Group (KGWG) is contributing to the possible detection through the data analysis of LIGO and Virgo. We summarize the perspectives of the gravitational wave research and the impacts of the detection in the near future in astronomy and astrophysics.

• Journal of the Korean Mathematical Society
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• v.38 no.4
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• pp.843-852
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• 2001

In this lecture I shall discuss some recent progress in the development of methods for attacking the central questions of the formation and structure of singularities and of global regularity for solutions of the Cauchy problem for nonlinear systems of partial differential equations of hyperbolic type. Applications to the Einstein equations of general relativity and to the equations of compressible fluid flow shall be particularly emphasized and detailed.

• Journal for History of Mathematics
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• v.35 no.2
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• pp.59-70
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• 2022

In this paper, we review some aspects of geometry for charged rotating black holes which are formed from the gravitational collapse of a massive spinning star with electric charge. We also introduce the computation of entropy for black holes from loop quantum gravity which is a quantum theory of gravity based on Einstein's theory of general relativity.