• Communications of the Korean Mathematical Society
• /
• v.37 no.3
• /
• pp.735-748
• /
• 2022

The global well-posedness for the fourth-order modified Zakharov equations in 1-D, which is a system of PDE in two variables describing interactions between quantum Langmuir and quantum ionacoustic waves is studied. In this paper, it is proven that the system is globally well-posed in (u, n) ∈ L² × L² by making use of Bourgain restriction norm method and L² conservation law in u, and controlling the growth of n via appropriate estimates in the local theory. In particular, this improves on the well-posedness results for this system in [9] to lower regularity.

• Journal of Korean Medical classics
• /
• v.26 no.4
• /
• pp.89-94
• /
• 2013

Objective : To collect cosmetology text in Shang Han Za Bing Lun(伤寒杂病论), to analyze theory and prescription about cosmetology before HAN(漢) dynasty, so to allow records for modern cosmetology of Traditional Chinese Medicine. Method : Through the systematize for all terms about cosmetology, to reveal the regularity about cosmetology before HAN(漢) dynasty. Result : There were damage-appearance disease in HAN(漢) dynasty, there are lots of ideas about cosmetology in Shang Han Za Bing Lun(伤寒杂病论). Conclusion : Shang Han Za Bing Lun(伤寒杂病论) is a monograph about pattern identification and treatment, and is an important ancient book for research of cosmetology of Traditional Chinese Medicine. In the further, we will research in knowledge discovery about cosmetology of Traditional Chinese Medicine. to strengthen the guidance of the theory of Zhang Zhongjing(张仲景) for clinical practice of cosmetology of Traditional Chinese Medicine.

• The Journal of Korean Institute of Communications and Information Sciences
• /
• v.14 no.5
• /
• pp.503-510
• /
• 1989

This paper represents a method which construct Combinational Mutiple Valued Logic circuits. First, it constructs Combinational Multiple Valued Logic Cell as the input variable, Then, it can be applied to the general case by expanding ti, thus these series of process is simple and regular. The construction theory of Combinational Multiple Valued Logic circuits, representes here has regularity, simplicity and modularity, especially, in case imput variables are incresed this theory also has characteristics of expansion.

• Journal of the Korean Mathematical Society
• /
• v.46 no.6
• /
• pp.1193-1206
• /
• 2009

C. Guenther studied the stability of DeTurck flows by using maximal regularity theory and center manifolds, but these arguments can not solve the stability of Ricci flows because the Ricci flow equation is not strictly parabolic. Recognizing this deficiency, the present paper considers and obtains the stability of Ricci flows, and of quasi-Ricci flows in view of some Killing conditions.

• Bulletin of the Korean Mathematical Society
• /
• v.48 no.1
• /
• pp.1-8
• /
• 2011

The approximate controllability for the nonlinear control system with nonlinear monotone hemicontinuous and coercive operator is studied. The existence, uniqueness and a variation of solutions of the system are also given.

• The Pure and Applied Mathematics
• /
• v.20 no.2
• /
• pp.109-116
• /
• 2013

In this paper, we propose a Jonckheere type test statistic for testing the parallelism of k regression lines against ordered alternatives. The order restriction problems could arise in various settings such as location, scale, and regression problems. But most of theory about the statistical inferences under order restrictions has been developed to deal with location parameters. The proposed test is an application of Jonckheere's procedure to regression problem. Asymptotic normality and asymptotic distribution-free properties of the test statistic are obtained under some regularity conditions.

• Journal of the Korean Mathematical Society
• /
• v.34 no.3
• /
• pp.731-770
• /
• 1997

We study Diriclet forms and related subjects for the Gibbs measures of classical unbounded sping systems interacting via potentials which are superstable and regular. For any Gibbs measure $\mu$, we construct a Dirichlet form and the associated diffusion process on $L^2(\Omega, d\mu), where \Omega = (R^d)^Z^\nu$. Under appropriate conditions on the potential we show that the Dirichlet operator associated to a Gibbs measure $\mu$ is essentially self-adjoint on the space of smooth bounded cylinder functions. Under the condition of uniform log-concavity, the Gibbs measure exists uniquely and there exists a mass gap in the lower end of the spectrum of the Dirichlet operator. We also show that under the condition of uniform log-concavity, the unique Gibbs measure satisfies the log-Sobolev inequality. We utilize the general scheme of the previous works on the theory in infinite dimensional spaces developed by e.g., Albeverio, Antonjuk, Hoegh-Krohn, Kondratiev, Rockner, and Kusuoka, etc, and also use the equilibrium condition and the regularity of Gibbs measures extensively.

• Fisheries and Aquatic Sciences
• /
• v.21 no.8
• /
• pp.24.1-24.9
• /
• 2018

The Korean bottom trawl survey has been deployed on a regular basis for about the last decade as part of groundfish stock assessments. The regularity indicates that they sample groundfish once per grid cell whose sides are half of one latitude and that of one longitude, respectively, and whose inside is furthermore divided into nine nested grids. Unless they have a special reason (e.g., running into a rocky bottom), their sample location is at the center grid of the nine nested grids. Given data collected by the survey, we intended to show how to appropriately estimate not only the survey index of a fish stock but also its uncertainty. For the regularity reason, we applied the systematic sampling theory for the above purposes and compared its results with a reference, which was based on the simple random sampling. When using the survey data about 11 fish stocks, collected by the spring and fall surveys in 2014, the survey indices of those stocks estimated under the systematic sampling were overall more precise than those under the simple random sampling. In estimates of the survey indices in number, the standard errors of those estimates under the systematic sampling were reduced from those under the simple random sampling by 0.23~27.44%, while in estimates of the survey indices in weight, they decreased by 0.04~31.97%. In bias of the estimates, the systematic sampling was the same as the simple random sampling. Our paper is first in formally showing how to apply the systematic sampling theory to the actual data collected by the Korean bottom trawl surveys.

• Korean Institute of Interior Design Journal
• /
• no.17
• /
• pp.80-86
• /
• 1998

This research is a study on the spatial organization of Korean houses designed by architects. It is focused on the characteristics and transformation of spatial organization of house designed since 1970. The variety and regularity of organization existed at the back of spatial structure of Korean houses were analyzed through typological and topographical theory. The general subject of this study is to find out the characteristics and tendency of transformation of spatial organization of houses designed by Korean architects. As a result of this study it was clarified that the spatial organization of architect's house turned its derection from the concept of 'unification and connection' to that of 'separation and segregation' It also was found that the degree of depth of room has been increased and the degree of concentration to a certain room has been decreased through the passing of time. It is because of the trend of spatial separation of rooms appeared in the architect's houses.

• Journal of the Korea Institute of Information and Communication Engineering
• /
• v.17 no.4
• /
• pp.863-868
• /
• 2013

In recently years, many digital logic systems based on graph theory are analyzed and synthesized. This paper presented a method of constructing the function using edge valued extension graph which is based on graph theory. The graph is applied to a new data structure. from binary graph which is recently used in constructing the digital logic systems based on the graph theory. We discuss the mathematical background of literal and reed-muller expansion, and we discuss the edge valued extension graph which is the key of this paper. Also, we propose the algorithms which is the function derivation based on the proposed edge valued extension graph. That is the function minimization method of the n-variables m-valued functions and showed that the algorithm had the regularity with module by which the same blocks were made concerning about the schematic property of the proposed algorithm.