• Journal of the Korean Mathematical Society
• /
• v.33 no.3
• /
• pp.693-707
• /
• 1996

Consider a specific class of scalar-valued reaction diffusion equations of the form $$ (1.1) u_t = \nu\Delta u + f(u), u \in R $$ where $\nu$ < 0 is viscosity parameter and $f : R \to R$ is sufficiently smooth.

• Journal of the Korean Mathematical Society
• /
• v.33 no.4
• /
• pp.1069-1099
• /
• 1996

Let X be a smooth, simply connected and oriented closed fourmanifold such that the dimension $b_{2}^{+}(X)$ of a maximal positive subspace for the intersection form is greater than or equal to 3.

• Bulletin of the Korean Mathematical Society
• /
• v.35 no.1
• /
• pp.1-12
• /
• 1998

We construct exotic symplectic structures on $S^3 \times R$ which is obtained by the symplectic sum of two smooth symplectic four-manifolds with exotic symplectic structures, each of which is diffeomorphic to $R^4$.

• Korean Journal of Mathematics
• /
• v.8 no.1
• /
• pp.63-72
• /
• 2000

In this paper, we introduce the notions of fuzzy r-cluster and fuzzy r-limit points in smooth fuzzy topological spaces and investigate some of their properties.

• Bulletin of the Korean Mathematical Society
• /
• v.50 no.6
• /
• pp.2071-2077
• /
• 2013

In this paper we consider the existence of smooth conics on a general hypersurface of degree d in $\mathbb{P}^n$.

• Bulletin of the Korean Mathematical Society
• /
• v.41 no.2
• /
• pp.213-220
• /
• 2004

In this paper, we generalize the Bishop-Gromov volume comparison theorem by considering an integral bound for the part of the radial Ricci curvature which lies below a given smooth function. We also establish a compactness theorem from this result.

• Korean Journal of Mathematics
• /
• v.16 no.2
• /
• pp.123-134
• /
• 2008

In the present article, we give a description of a chain complex of a cyclic cohomology type proposed by Grayson, which is constructed from the double exact sequences of an exact category. We also provide some results which relate it with motivic cohomology of a smooth scheme over a field.

• 한국정보디스플레이학회:학술대회논문집
• /
• 2008.10a
• /
• pp.947-950
• /
• 2008

This paper reports of traceable and repeatable time resolved colorimetric measurements of the luminance- and colour variation occurring during the frame refresh period of FPD's. During one frame period a number of measurements are performed, and for the dynamic artifacts a simulated smooth pursuit eye tracking algorithm is included.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.10 no.5
• /
• pp.513-519
• /
• 2000

In this paper, we investigate some properties of fuzzy r-cluster points and fuzzy r-limit points in smooth fuzzy topological spaces. We define fuzzy r-convergent nets and investigate some of their properties.

• 제어로봇시스템학회:학술대회논문집
• /
• 1989.10a
• /
• pp.508-512
• /
• 1989

A new control law of a VSCS is illustrated and put into an analytical form. Using the presented control law, a VSCS shows smooth response, low control input and high accuracy in comparison with those by typical control law.