• Title/Summary/Keyword: K

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k- DENTING POINTS AND k- SMOOTHNESS OF BANACH SPACES

  • Wulede, Suyalatu;Shang, Shaoqiang;Bao, Wurina
    • Korean Journal of Mathematics
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    • v.24 no.3
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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.

CHARACTERIZATIONS OF ORDERED INTRA k-REGULAR SEMIRINGS BY ORDERED k-IDEALS

  • Ayutthaya, Pakorn Palakawong na;Pibaljommee, Bundit
    • Communications of the Korean Mathematical Society
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    • v.33 no.1
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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.

Response of the Application of Slow-release Potassium Fertilizer Using Natural Zeolite to Flue-cured Tobacco (Nicotiana tabacum L.) (천연(天然) Zeolite를 이용한 완효성(緩效性) K 비료(肥料)의 황색종(黃色種) 연초(煙草)에 대(對)한 시용효과(施用效果))

  • Lee, Dong-Hoon;Park, Soo-June;Choi, Jyung
    • Korean Journal of Soil Science and Fertilizer
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    • v.22 no.3
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    • pp.215-220
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    • 1989
  • For development of slow releaseing K-fertilizer using natural zeolite, two kinds of K adsorbed zeolite were made by ion exchange reaction in $K^+$ saturated aqueous solution. K-Zeolite was prepared by removing the excess salt after K adsorption on zeolite, however, NW. K-Zeolite was prepared only by K adsorption reaction without removing the excess salt. The adsorbed K on zeolite was not easily released, but continuously and slowly released from the surface of zeolite. By the results of application for tobacco cultivation, the K contents in soil treated with K-Zeolite and NW. K-Zeolite were lower than that of control (20kg/10a) at the early growth stage, but were higher at the late growth stage. Therefore, the results suggest that K adsorbed zeolite could be applied as a slow-releasing K fertilizer.

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Fault Diameter of Recursive Circulant $G(2^{m},2^{k})$ (재귀원형군 $G(2^{m},2^{k})$의 고장 지름)

  • 김희철;정호영;박정흠
    • Journal of KIISE:Computer Systems and Theory
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    • v.29 no.12
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    • pp.665-679
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    • 2002
  • The fault diameter of a graph G is the maximum of lengths of the shortest paths between all two vertices when there are $\chi$(G) - 1 or less faulty vertices, where $\chi$(G) is connectivity of G. In this paper, we analyze the fault diameter of recursive circulant $G(2^m,2^k)$ with $k{\geq}3$. Let $ dia_{m.k}$ denote the diameter of $G(2^m,2^k)$. We show that if $2{\leq}m,2{\leq}k, the fault diameter of $G(2{\leq}m,2{\leq}k)$ is equal to $2^m-2$, and if m=k+1, it is equal to $2^k-1$. It is also shown that for m>k+1, the fault diameter is equal to di a_$m{\neq}1$(mod 2k); otherwise, it is less than or equal to$dia_{m.k+2}$.

Gene Ontology Development and Implementation at the Saccharomyces Genome Database

  • Hong, E.L.;Weng, S.;Dolinski, K.;Balakrishnan, R.;Christie, K.R.;Costanzo, M.C.;Dwight, S.S.;Engel, S.R.;Fisk, D.G.;Hirschman, J.E.;Issel-Tarver, L.;Sethuraman, A.;Theesfeld, C.L.;Binkley, G.;Schroeder, M.;Dong, S.;Andrada, R.;Botstein, D.;Cherry, J.M.
    • Proceedings of the Korean Society for Applied Microbiology Conference
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    • 2003.06a
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    • pp.95-102
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    • 2003
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DIGITAL TOPOLOGICAL PROPERTY OF THE DIGITAL 8-PSEUDOTORI

  • LEE, SIK;KIM, SAM-TAE;HAN, SANG-EON
    • Honam Mathematical Journal
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    • v.26 no.4
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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, $k{\in}\{8,\;32,\;64,\;80\}$.

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A CONSTRUCTION OF TWO-WEIGHT CODES AND ITS APPLICATIONS

  • Cheon, Eun Ju;Kageyama, Yuuki;Kim, Seon Jeong;Lee, Namyong;Maruta, Tatsuya
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.3
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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.

The Basic Study on 800kV GIS Development (800kV GIS 개발을 위한 기본연구)

  • Kim, J.B.;Yang, D.I.;Song, W.P.;Lee, C.H.;Noh, C.W.
    • Proceedings of the KIEE Conference
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    • 1995.07c
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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.

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DIGITAL COVERING THEORY AND ITS APPLICATIONS

  • Kim, In-Soo;Han, Sang-Eon
    • Honam Mathematical Journal
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    • v.30 no.4
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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 ${\mathbf{Z}}^n$, $i{\in}{1,2}$.