• Title/Summary/Keyword: smooth

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Intuitionistic Smooth Topological Spaces

  • Lim, Pyung-Ki;Kim, So-Ra;Hur, Kul
    • Journal of the Korean Institute of Intelligent Systems
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    • v.20 no.6
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    • pp.875-883
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    • 2010
  • We introduce the concept of intuitionistic smooth topology in Lowen's sense and we prove that the family IST(X) of all intuitionistic smooth topologies on a set is a meet complete lattice with least element and the greatest element [Proposition 3.6]. Also we introduce the notion of level fuzzy topology on a set X with respect to an intuitionistic smooth topology and we obtain the relation between the intuitionistic smooth topology $\tau$ and the intuitionistic smooth topology $\eta$ generated by level fuzzy topologies with respect to $\tau$ [Theorem 3.10].

Initial smooth Fuzzy Topological Spaces

  • 김용찬
    • Journal of the Korean Institute of Intelligent Systems
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    • v.8 no.3
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    • pp.88-94
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    • 1998
  • We will difine a base of a smooth fuzzy topological space and investigate some properties of bases. We will prove the existences of initial smooth fuzzy topological spaces. From this fact, we can define subspaces and products of smooth fuzzy topological spaces.

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On the Mechanism of Smooth Blasting on the Rock Containing Discontinuties (불연속면이 존재하는 암반에서의 Smooth Blasting의 기구)

  • 박홍민;이상은
    • Explosives and Blasting
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    • v.14 no.4
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    • pp.13-19
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    • 1996
  • Lately, the improtance of smooth blasting is increasing on every construction fields, suchas underground caves, tunnels, and roadconstruction, etc. The main purpose of smooth blasting is to prevent unnecessary cracks from the base rockwhich preserved permanently and is to gain the smooth fracture plane. So, in smooth blashing, explosives with low detonating velocity are generally used. But it is difficult to discuss general theory on the smooth blashing because the mechanical properties of pertienent rocks are difficult regionally. Accordingly basic reserches on the smooth blasting are demended. In this paper, the mechanisms of the smooth blasting on the rocks containing discontinuities were discussd. Firstly, the writer predicted the formation of fracture plane and unevenness using mathematical methodology, the next the model blast tests were conducted in order to simulate the crack propagation modes from the blast holes. Through the research, the following conclusions were obtained l)The blast test results were in reasonally good agreement with the theoretical prediction. 2)The degree of discontinuity has an influence on the fracture morphology.

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THE LATTICE OF ORDINARY SMOOTH TOPOLOGIES

  • Cheong, Min-Seok;Chae, Gab-Byung;Hur, Kul;Kim, Sang-Mok
    • Honam Mathematical Journal
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    • v.33 no.4
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    • pp.453-465
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    • 2011
  • Lim et al. [5] introduce the notion of ordinary smooth topologies by considering the gradation of openness[resp. closedness] of ordinary subsets of X. In this paper, we study a collection of all ordinary smooth topologies on X, say OST(X), in the sense of a lattice. And we prove that OST(X) is a complete lattice.

Smooth Path Planning Method for Autonomous Mobile Robots Using Cardinal Spline (카디널스플라인을 이용한 자율이동로봇의 곡선경로 생성방법)

  • Yoon, Hee-Sang;Park, Tae-Hyoung
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.4
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    • pp.803-808
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    • 2010
  • We propose a smooth path planning method for autonomous mobile robots. Due to nonholonomic constraints by obstacle avoidance, the smooth path planning is a complicated one. We generate smooth path that is considered orientation of robot under nonholonomic constraints. The proposed smooth planning method consists of two steps. Firstly, the initial path composed of straight lines is obtained from V-graph by Dijkstra's algorithm. Then the initial path is transformed by changing the curve. We apply the cardinal spline into the stage of curve generation. Simulation results show a performance of proposed smooth path planning method.

Closures and Interiors Redefined, and Some Types of Compactness in Ordinary Smooth Topological Spaces

  • Lee, Jeong Gon;Lim, Pyung Ki;Hur, Kul
    • Journal of the Korean Institute of Intelligent Systems
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    • v.23 no.1
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    • pp.80-86
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    • 2013
  • We give a new definition of ordinary smooth closure and ordinary smooth interior of an ordinary subset in an ordinary smooth topological space which have almost all the properties of the corresponding operators in a classical topological space. As a consequence of these definitions we reduce the additional hypotheses in the results of [1] and also generalize several properties of the types of compactness in [1].

Role of vascular smooth muscle cell in the inflammation of atherosclerosis

  • Lim, Soyeon;Park, Sungha
    • BMB Reports
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    • v.47 no.1
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    • pp.1-7
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    • 2014
  • Atherosclerosis is a pathologic process occurring within the artery, in which many cell types, including T cell, macrophages, endothelial cells, and smooth muscle cells, interact, and cause chronic inflammation, in response to various inner- or outer-cellular stimuli. Atherosclerosis is characterized by a complex interaction of inflammation, lipid deposition, vascular smooth muscle cell proliferation, endothelial dysfunction, and extracellular matrix remodeling, which will result in the formation of an intimal plaque. Although the regulation and function of vascular smooth muscle cells are important in the progression of atherosclerosis, the roles of smooth muscle cells in regulating vascular inflammation are rarely focused upon, compared to those of endothelial cells or inflammatory cells. Therefore, in this review, we will discuss here how smooth muscle cells contribute or regulate the inflammatory reaction in the progression of atherosclerosis, especially in the context of the activation of various membrane receptors, and how they may regulate vascular inflammation.

NEIGHBORHOOD STRUCTURES IN ORDINARY SMOOTH TOPOLOGICAL SPACES

  • Lee, Jeong Gon;Lim, Pyung Ki;Hur, Kul
    • Honam Mathematical Journal
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    • v.34 no.4
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    • pp.559-570
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    • 2012
  • We construct a new definition of a base for ordinary smooth topological spaces and introduce the concept of a neighborhood structure in ordinary smooth topological spaces. Then, we state some of their properties which are generalizations of some results in classical topological spaces.

Dangerous Border-collision Bifurcation for a Piecewise Smooth Nonlinear System

  • Kang, Hunseok
    • Kyungpook Mathematical Journal
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    • v.52 no.4
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    • pp.459-472
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    • 2012
  • A piecewise smooth system is characterized by non-differentiability on a curve in the phase space. In this paper, we discuss particular bifurcation phenomena in the dynamics of a piecewise smooth system. We consider a two-dimensional piecewise smooth system which is composed of a linear map and a nonlinear map, and analyze the stability of the system to determine the existence of dangerous border-collision bifurcation. We finally present some numerical examples of the bifurcation phenomena in the system.

Effects of dietary polyphenol (-)-epigallocatechin-3-gallate on the differentiation of mouse C2C12 myoblasts (식이성 폴리페놀 (-)-epigallocatechin-3-gallate가 mouse C2C12 myoblast 분화에 미치는 영향)

  • Kim, Hye-Jin;Lee, Won-Jun
    • Journal of Life Science
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    • v.17 no.3 s.83
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    • pp.420-426
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    • 2007
  • In the present investigation, we studied the modulating effects of (-)-epigallocatechin-3-gallate(EGCG) on the differentiation of mouse C2C12 myoblasts. We found that the strong inhibitory effect of EGCG on DNA methyltransferase-mediated DNA methylation induced transdifferentiation of C2C12 myoblasts into smooth muscle cells demonstrated by both morphological changes and immunofluorescent staining. C2C12 myoblasts treated with EGCG for 4 days expressed smooth muscle ${\alpha}-actin$ protein. Real-time PCR data revealed that smooth muscle ${\alpha}-actin$ mRNA was induced by EGCG treated C2C12 myoblasts in a concentration-dependent manner. Smooth muscle ${\alpha}-actin$ mRNA concentration increased 330% and 490% after 2 and 3 days of 50 ${\mu}M$ of EGCG treatment. The expression of another smooth muscle marker, transgelin, mRNA was also increased up to 9-fold by 4 days of EGCG treatment compared with control in a concentration-dependent manner. These results suggested that C2C12 enables to transdifferentiate into smooth muscle when gene expression patterns are changed by the inhibition of DNA methylation induced by EGCG. In conclusion, transdifferentiation of C2C12 myoblasts into smooth muscle is resulted from the modulating effects of EGCG on DNA methylation which subsequently results in changing the expression pattern of several genes playing a critical role in the differentiation of C2C12 myoblasts.