• Korean Journal of Mathematics
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• 제24권3호
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• pp.397-407
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• 2016

In this paper, the concepts of k-smoothness, k-very smoothness and k-strongly smoothness of Banach spaces are dealt with together briefly by introducing three types k-denting point regarding different topology of conjugate spaces of Banach spaces. In addition, the characterization of first type ${\omega}^*-k$ denting point is described by using the slice of closed unit ball of conjugate spaces.

• 한국초전도학회:학술대회논문집
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• 한국초전도학회 2008년도 High Temperature Superconductivity Vol.XVIII
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• pp.47-47
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• 2008

• 대한수학회논문집
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• 제33권1호
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• pp.1-12
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• 2018

We introduce the notion of ordered intra k-regular semirings, characterize them using their ordered k-ideals and prove that an ordered semiring S is both ordered k-regular and ordered intra k-regular if and only if every ordered quasi k-ideal or every ordered k-bi-ideal of S is ordered k-idempotent.

• 한국토양비료학회지
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• 제22권3호
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• pp.215-220
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• 1989

천연(天然) zeolite를 이용한 완효성(緩效性) K비료(肥料)를 개발(開發)하기 위하여 K포화용액(飽和溶液)에 zeolite를 첨가(添加)하여 흡착반응(吸着反應)을 유도(誘導)하였다. 표면(表面)에 K가 포화(飽和)된 zeolite(K-Zeolite)와 과잉염(過剩鹽)이 남아있는 zeolite(NW. K-Zeolite)를 조제(調製)하였다. 흡착(吸着)된 K는 쉽게 용출(溶出)되지 않았으며 서서히 지속적(持續的)으로 용출(溶出)되었다. 또 이들 K-Zeolite와 NW. K-Zeolite를 연초재배(煙草栽培)에 시용(施用)한 결과(結果) 생육초기(生育初期)에는 KCl 처리(處理)에 비해 토양중(土壤中) K함량(含量)이 적었으나 생육후기(生育後期)에는 K함량(含量)이 오히려 높았다. 따라서 K-Zeolite는 완효성(緩效性) 가리비료(加里肥料)로 이용(利用)할 수 있음이 인정(認定)되었다.

• 한국정보과학회논문지:시스템및이론
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• 제29권12호
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• pp.665-679
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• 2002

그래프 G의 고장지름이란 임의의 연결도-1 개 이하의 정점들에 고장이 났을 경우, 모든 두 정점사이의 최단경로 길이의 최대 값을 말한다. 본 논문에서는 $k{\geq}3$인 재귀원형군 $G(2{\leq}m,2{\leq}k)$의 고장 지름을 분석한다. $ dia_{m.k}$를$ G(2^m,2^k)$의 지름이라 하자. $G(2{\leq}m,2{\leq}k/)$일 때, $G(2{\leq}m,2{\leq}k)$의 고장지름은 $2^m-2이고$, m=k+1일 때, 고장지름은 $2^k-1$임을 보인다. 그리고 m>k+1인 재귀원형군 $G(2{\leq}m,2{\leq}k)$에서, m=1 (mod 2k)이면 고장지름은 $dia_{m.k+1}$과 같고, $m{\neq}1$ (mod 2k)이면 고장지름은 $dia_{m.k+2}$ 이하임을 보인다.

• 한국미생물생명공학회:학술대회논문집
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• 한국미생물생명공학회 2003년도 2003 Annual Meeting, BioExhibition and International Symposium
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• pp.95-102
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• 2003

• 호남수학학술지
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• 제26권4호
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• pp.411-421
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• 2004

A digital $(k_0,\;k_1)$-homotopy is induced from digital $(k_0,\;k_1)$-continuity with the n kinds of $k_i$-adjacency relations in ${\mathbb{Z}}^n$, $i{\in}\{0,\;1\}$. The k-fundamental group, ${\pi}^k_1(X,\;x_0)$, is derived from the pointed digital k-homotopy, $k{\in}\{3^n-1(n{\geq}2),\;3^n-{\sum}^{r-2}_{k=0}C^n_k2^{n-k}-1(2{\leq}r{\leq}n-1(n{\geq}3)),\;2n(n{\geq}1)\}$. In this paper two kinds of digital 8-pseudotori stemmed from the minimal simple closed 4-curve and the minimal simple closed 8-curve with 8-contractibility or without 8-contractibility, e.g., $DT_8$ and $DT^{\prime}_8$, are introduced and their digital topological properties are studied by the calculation of the k-fundamental groups, $k{\in}\{8,\;32,\;64,\;80\}$.

• 대한수학회보
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• 제54권3호
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• pp.731-736
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• 2017

It is well-known that there exists a constant-weight $[s{\theta}_{k-1},k,sq^{k-1}]_q$ code for any positive integer s, which is an s-fold simplex code, where ${\theta}_j=(q^{j+1}-1)/(q-1)$. This gives an upper bound $n_q(k,sq^{k-1}+d){\leq}s{\theta}_{k-1}+n_q(k,d)$ for any positive integer d, where $n_q(k,d)$ is the minimum length n for which an $[n,k,d]_q$ code exists. We construct a two-weight $[s{\theta}_{k-1}+1,k,sq^{k-1}]_q$ code for $1{\leq}s{\leq}k-3$, which gives a better upper bound $n_q(k,sq^{k-1}+d){\leq}s{\theta}_{k-1}+1+n_q(k-1,d)$ for $1{\leq}d{\leq}q^s$. As another application, we prove that $n_q(5,d)={\sum_{i=0}^{4}}{\lceil}d/q^i{\rceil}$ for $q^4+1{\leq}d{\leq}q^4+q$ for any prime power q.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1995년도 하계학술대회 논문집 C
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• pp.1341-1343
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• 1995

The maximum transmission voltage in our country is going to change 345kV into 765kV owing to the increase of Electrical Power Demand and power System Stability. Our company is developing 800kV GIS and 765kV Transformer which are main equipments in 765kV substation. This paper describs the specification on 800kV GIS which we prepared for 800kV 8,000A 50kA GIS development. This specification is supported by Public Standards and Data. And, we are designing the 800kV GIS on this specification and drawing up the 800kV GIS layout for type test.

• 호남수학학술지
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• 제30권4호
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• pp.589-602
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• 2008

As a survey-type article, the paper reviews various digital topological utilities from digital covering theory. Digital covering theory has strongly contributed to the calculation of the digital k-fundamental group of both a digital space(a set with k-adjacency or digital k-graph) and a digital product. Furthermore, it has been used in classifying digital spaces, establishing almost Van Kampen theory which is the digital version of van Kampen theorem in algebrate topology, developing the generalized universal covering property, and so forth. Finally, we remark on the digital k-surface structure of a Cartesian product of two simple closed $k_i$-curves in ${\mathbf{Z}}^n$, $i{\in}{1,2}$.