• Honam Mathematical Journal
• /
• v.37 no.1
• /
• pp.135-147
• /
• 2015

Owing to the notion of a normal adjacency for a digital product in [8], the study of product properties of digital topological properties has been substantially done. To explain a normal adjacency of a digital product more efficiently, the recent paper [22] proposed an S-compatible adjacency of a digital product. Using an S-compatible adjacency of a digital product, we also study product properties of digital topological properties, which improves the presentations of a normal adjacency of a digital product in [8]. Besides, the paper [16] studied the product property of two digital covering maps in terms of the $L_S$- and the $L_C$-property of a digital product which plays an important role in studying digital covering and digital homotopy theory. Further, by using HS- and HC-properties of digital products, the paper [18] studied multiplicative properties of a digital fundamental group. The present paper compares among several kinds of adjacency relations for digital products and proposes their own merits and further, deals with the problem: consider a Cartesian product of two simple closed $k_i$-curves with $l_i$ elements in $Z^{n_i}$, $i{\in}\{1,2\}$ denoted by $SC^{n_1,l_1}_{k_1}{\times}SC^{n_2,l_2}_{k_2}$. Since a normal adjacency for this product and the $L_C$-property are different from each other, the present paper address the problem: for the digital product does it have both a normal k-adjacency of $Z^{n_1+n_2}$ and another adjacency satisfying the $L_C$-property? This research plays an important role in studying product properties of digital topological properties.

• Honam Mathematical Journal
• /
• v.36 no.1
• /
• pp.199-215
• /
• 2014

Owing to the development of the notion of normal adjacency of a digital product [9], product properties of digital topological properties were studied efficiently. To equivalently represent a normal adjacency of a digital product, the present paper proposes an S-compatible adjacency of a digital product. This approach can be helpful to understand a normal adjacency of a digital product. Finally, using an S-compatible adjacency of a digital product, we can study product properties of digital topological properties, which improves the presentations of the normal adjacency of a digital product in [9] and [5, 6].

• Honam Mathematical Journal
• /
• v.30 no.3
• /
• pp.551-556
• /
• 2008

In this paper, we prove the product properties of the singular Kobayashi metrics relative to the higher order Kobayashi metric.

• Korean Journal of Mathematics
• /
• v.13 no.2
• /
• pp.203-208
• /
• 2005

We define a product fuzzy group, which is weaker than the standard fuzzy group defined by Rosenfeld, and characterize some properties of product fuzzy groups, product fuzzy ideals, and product fuzzy subrings.

• The Journal of Society for e-Business Studies
• /
• v.1 no.2
• /
• pp.93-116
• /
• 1996

Nowadays, there are many efforts to integrate CAD/CAM and other systems. The key of integration is engineering database implementation through the product data definition. In this paper, we suggest the product data definition and their properties for electronic consumer product throughout the requirement analysis for engineering database. Electronic consumer products include electric/electronic parts. as well as mechanical part which mainly compose of machinery. The paper is composed of three parts: the first is analysis about engineering data base. the second is understanding of product data structure and properties. and the last is modeling of product data including static and dynamic characteristics.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.9 no.6
• /
• pp.615-620
• /
• 1999

We will investigate some properties of product smooth fuzzy topological spaces. We will show that a projection map in product smooth fuzzy topological spaces need not be a fuzzy open map. Furthermore a slice need not be homeomorphic to the coordinate spance which is parallel to it.

• Honam Mathematical Journal
• /
• v.35 no.2
• /
• pp.119-128
• /
• 2013

In the present paper, we define a product-symmetric recurrent-metric connection in an almost Hermitian manifold and study some properties of this connection, in particular, its curvature properties.

• Journal of the Korean Data and Information Science Society
• /
• v.8 no.1
• /
• pp.99-109
• /
• 1997

The estimation procedure of mean residual life function has been placed an important role in the study of survival analysis. In this paper, the product limit estimator on left truncated and right censoring model is proposed with asymptotic properties. Also, the small sample properties are investigated through the Monte Carlo study and the proposed product limit type estimator is compared with ordinary Kaplan-Meier type estimator.

• Journal of applied mathematics & informatics
• /
• v.33 no.5_6
• /
• pp.545-557
• /
• 2015

A vague graph is a generalized structure of a fuzzy graph that gives more precision, flexibility and compatibility to a system when compared with systems that are designed using fuzzy graphs. In this paper, we define two new operation on vague graphs namely normal product and tensor product and study about the degree of a vertex in vague graphs which are obtained from two given vague graphs G₁ and G₂ using the operations cartesian product, composition, tensor product and normal product. These operations are highly utilized by computer science, geometry, algebra, number theory and operation research. In addition to the existing operations these properties will also be helpful to study large vague graph as a combination of small, vague graphs and to derive its properties from those of the smaller ones.

• Journal of Korea Technical Association of The Pulp and Paper Industry
• /
• v.30 no.4
• /
• pp.59-68
• /
• 1998

This study was to investigate the effect of chitosan molecular weight, its charge density, and its surface coating treatment on the antibacterial properties of paper. For this study, E.coil was used for antibacterial experiment. Results obtained were as follows : 1. The antibacterial properties of chitosan was significant on the surface-treated sheet. 2. Antibacterial property surface treatment was appeared to be effective when film was formed on the paper surface. 3. The antibacterial properties of chitosan-treated paper was dependent on the amount and the molecular weight of chitosan used. The lower the molecular weight of the chitosan down to 30,000 the better the antibacterial properties in this experiment. 4. Determination of the degree of chitosan-deacetylation by colloidal titration method was consistent with the more complicated and conventional FT-IR method.