• Communications of the Korean Mathematical Society
• /
• v.25 no.3
• /
• pp.477-484
• /
• 2010

In this paper, we introduce a new property (*) of a topological space and prove that if X satisfies one of the following conditions (1) and (2), then compactness, countable compactness and sequential compactness are equivalent in X; (1) Each countably compact subspace of X with (*) is a sequential or AP space. (2) X is a sequential or AP space with (*).

• Nonlinear Functional Analysis and Applications
• /
• v.26 no.5
• /
• pp.1059-1075
• /
• 2021

In this paper, we unify and enrich the well-known classical metrical coincidence theorems on a complete metric space due to Machuca, Goebel and Jungck. We further extend our newly proved results on a subspace Y of metric space X, wherein X need not be complete. Finally, we slightly modify the existing results involving (E.A)-property and (CLR_g)-property and apply these results to deduce our coincidence and common fixed point theorems.

• Journal of the military operations research society of Korea
• /
• v.15 no.2
• /
• pp.56-77
• /
• 1989

A new concept, namely the error discrimination of a code defined as the capability to not only detect errors from two distinct error sets but also to distinguish between them has been introduced in [SAKA 89a]. Consider $E_+\;and\;E_-$ as the two distinct error sets, namely the positive error set and the negative error set respectively. If a code C is not only capable of detecting any error e in {$E_+,\;E_-$}, but also able to identify the error set to which e belongs then the code is said to be an $E_+\;&\;E_-$ error discriminating code. The error discriminating property enables construction of unidirectional error detecting/correcting codes using asymmetric error control code. We derive here theory for asymmetric t error correcting and d error detecting codes. Furthermore, unidirectional error control code construction methods are introduced using asymmetric error control codes and $E_+\;&\;E_-$ error discriminating codes.

• Journal of the Korean Mathematical Society
• /
• v.44 no.6
• /
• pp.1453-1467
• /
• 2007

By means of a Riccati transform some oscillation or nonoscillation criteria are established for nonlinear differential equations of second order $$(E_1)\;[p(t)|x#(t)|^{\alpha}sgn\;x#(t)]#+q(t)|x(\tau(t)|^{\alpha}sgn\;x(\tau(t))=0$$. $$(E_2),\;(E_3)\;and\;(E_4)\;where\;0<{\alpha}$$ and $${\tau}(t){\leq}t,\;{\tau}#(t)>0,\;{\tau}(t){\rightarrow}{\infty}\;as\;t{\rightarrow}{\infty}$$. In this paper we improve some previous results.

• Communications of the Korean Mathematical Society
• /
• v.18 no.3
• /
• pp.481-484
• /
• 2003

We will show that if U is a Bergman ball E($\alpha;\;\delta$) in $B_n\;\subset\;{\mathbb{C}_n}$ and if U has M-harmonic volume mean value property at a for all M-harmonic functions f on $\={U} $, then U must be a ball centered at the origin with $\alpha\;=\;0$.

• Journal of the Chungcheong Mathematical Society
• /
• v.11 no.1
• /
• pp.35-44
• /
• 1998

Let {X(t), $t{\in}\mathbb{R}^n$} be a $S{\alpha}S$ H-sssis Chentsov random field with control measure m. We consider a geometric construction for L$\acute{e}$vy-Chentsov random fields and Takenaka random fields. Finally, we proved some property of conjugate classes and a.s. H$\ddot{o}$lder unboundedness of $S{\alpha}S$ H-sssis Chentsov random fields for all order ${\gamma}$ > H.

• The Korea Journal of Herbology
• /
• v.23 no.3
• /
• pp.93-102
• /
• 2008

Objectives : Forsythiae Fructus (Forsythia koreana Nakai) has been used anti-inflammatory, diuretics, antidote, and antibacterials in traditional herbal medicine. The present study is focused on the inhibitory effect of Forsythiae Fructus ethanol extract (FF-E) on the production of inflammatory mediators such as NO, iNOS and proinflammatory cytokines ($TNF-{\alpha}$, $IL-1{\beta}$ and IL-6) in LPS-stimulated BV-2 cells, a mouse microglial cell line, and investigated the scavenging activity of FF-E. Methods : BV-2 cells were pre-incubated with FF-E for 30 min and then stimulated with LPS (1 ${\mu}g/m{\ell}$) at indicated times. Cell toxicity of GCF was determined by MTT assay. The levels of NO, PGE2 and cytokines were measured by Griess assay and ELISA. The mRNA and protein expressions of iNOS and cytokines were determined by RT-PCR and Western blotting. Free radical scavenging activity of GCF was determined by DPPH assay in tube test. Results : FF-E significantly inhibited the excessive production of NO, $PGE_2$, $TNF-{\alpha}$, and $IL-1{\beta}$ in LPS-stimulated BV-2 cells. In addition, FF-E attenuated the mRNA and protein expressions of iNOS, and proinflammatory cytokines. FF-E also significantly scavenged the DPPH free radicals in a dose-dependent manner. Conclusions : These results indicate that FF-E exhibits anti-inflammatory property by suppressing the transcription of inflammatory mediator genes, suggesting the anti-inflammatory property of FF-E may make it useful as a therapeutic agent for the treatment of human neurodegenerative diseases.

• Language and Information
• /
• v.14 no.2
• /
• pp.47-70
• /
• 2010

This study investigates the semantic and prosodic properties of the so-called contrastive topic. We posit two informational primitives, namely, topical feature [+-T] and focal feature [+-F], from which four different informational categories, i.e., [+T, +F], [+T, -F], [-T, +F], and [-T, -F], are yielded. It is proposed that the informational category of contrastive topic has focal property [+F] as well as topical property [+T]. Based on the semantic approach that regards the function of [+F] as identificational predication and that of [+T] as forming a semantic conditional clause, it is shown that the semantic function of contrastive topic, which is specified as [+T, +F], is the combination of these two functions, i.e., identificational predication in a semantic conditional clause. This is supported by a scrutinized exploration of the prosodic pattern of English contrastive topic.

• Journal of Microbiology and Biotechnology
• /
• v.18 no.8
• /
• pp.1353-1356
• /
• 2008

RNase E (Rne) plays a major role in the decay and processing of numerous RNAs in E. coli, and protein inhibitors of RNase E, RraA and RraB, have recently been discovered. Here, we report that coexpression of RraA or RraB reduces the ribonucleolytic activity in rne-deleted E. coli cells overproducing RNase ES, a Streptomyces coelicolor functional ortholog of RNase E, and consequently rescues these cells from growth arrest. These findings suggest that the regulators of ribonuclease activity have a conserved intrinsic property that effectively acts on an RNase E-like enzyme found in a distantly related bacterial species.

• Journal of the Korea Academia-Industrial cooperation Society
• /
• v.16 no.7
• /
• pp.4388-4397
• /
• 2015

The purpose of this study was to research the property change of acrylic resins depending on the induced-beam change and research the improved physical property of dry-heat and microwave-cured dental place acrylic resin in order to develop the acrylic resins with the optimum characteristic. As a result of observing flexural rigidity, hardness and color difference, the dry-heat-cured specimens of Vertex RS and Paladent 20 showed ideal property at 5, 15, and 25 kGy irradiation. The microwave-cured specimens of Vertex RS and Paladent 20 showed ideal property at 5 kGy irradiation. The correlation analysis showed a positive correlation among ARD, flexural rigidity (0 418), E coefficient (0.675) and Barcol hardness (0 588). The radiation cure technology is helpful for relieving the contamination caused by the manufacture of polymer composite. It can significantly contribute to the fusion of ultra violet cure technology and nano technology and the improvement of mechanical property without giving effect to the workability of polymer.