• 한국컴퓨터정보학회논문지
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• 제20권3호
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• pp.69-74
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• 2015

본 논문은 램지 수에 대해 해결하지 못한 $43{\leq}R(5,5){\leq}49$와 $102{\leq}R(6,6){\leq}165$의 문제를 해결하였다. $k_n$ 완전 그래프의 램지 수 R(s,t)는 임의의 정점 ${\upsilon}$의 n-1개 부속 간선수가 (n-1)/2=R과 (n-1)/2=B의 2가지 색으로 정확히 양분된다. 따라서 임의의 정점 ${\upsilon}$로부터 거리 개념을 적용하여 {$K_L,{\upsilon}$}의 (n-1)/2=R, ${\upsilon},K_R$의 (n-1)/2=B색이 되도록 $K_n=K_L+{\upsilon}+K_R$ 분할 그래프를 형성하였다. 이로부터 $K_L$이 $K_{s-1)$의 R색을 형성하면 $K_s$를 얻을 수 있다. $K_R$이 $K_{t-1}$의 B색을 형성하면 $K_t$를 얻는다. $K_L$과 $K_R$의 최대 거리는 짝수와 모든 정점의 부속 간선 수는 동일하다는 필요충분조건을 만족시키는 $R(s,t)=K_n$을 구하였다. 결국, R(5,5)=43과 R(6,6)=91을 증명하였다.

• 한국지능시스템학회논문지
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• 제14권2호
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• pp.234-238
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• 2004

We introduce the concepts of fuzzy (r, s)-semiopen sets and fuzzy (r, s)-semicontinuous mappings on intuitionistic fuzzy topological spaces in Sostak's sense and then we investigate some of their characteristic properties.

• Journal of applied mathematics & informatics
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• 제29권3_4호
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• pp.1059-1066
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• 2011

We introduce the concept of fuzzy S-weakly r-M-continuous functions on fuzzy r-minimal spaces, and investigate some characterizations of such functions and the relations between the continuity and fuzzy r-minimal compactness on fuzzy r-minimal spaces.

• 대한지역사회영양학회:학술대회논문집
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• 대한지역사회영양학회 2000년도 추계학술대회:통일한국을 대비한 영양감시체계 개발
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• pp.62-62
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• 2000

• 대한수학회지
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• 제51권3호
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• pp.463-472
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• 2014

Let R be a ring with identity 1, I(R) be the set of all nonunit idempotents in R and $S_{\ell}$(R) (resp. $S_r$(R)) be the set of all left (resp. right) semicentral idempotents in R. In this paper, the following are investigated: (1) $e{\in}S_{\ell}(R)$ (resp. $e{\in}S_r(R)$) if and only if re=ere (resp. er=ere) for all nilpotent elements $r{\in}R$ if and only if $fe{\in}I(R)$ (resp. $ef{\in}I(R)$) for all $f{\in}I(R)$ if and only if fe=efe (resp. ef=efe) for all $f{\in}I(R)$ if and only if fe=efe (resp. ef=efe) for all $f{\in}I(R)$ which are isomorphic to e if and only if $(fe)^n=(efe)^n$ (resp. $(ef)^n=(efe)^n$) for all $f{\in}I(R)$ which are isomorphic to e where n is some positive integer; (2) For a ring R having a complete set of centrally primitive idempotents, every nonzero left (resp. right) semicentral idempotent is a finite sum of orthogonal left (resp. right) semicentral primitive idempotents, and eRe has also a complete set of primitive idempotents for any $0{\neq}e{\in}S_{\ell}(R)$ (resp. 0$0{\neq}e{\in}S_r(R)$).

• 대한수학회보
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• 제30권1호
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• pp.71-77
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• 1993

Every ring considered in the paper will be assumed to be commutative and have a unit element. An ideal A of a ring R will be called primal if the elements of R which are zero divisors modulo A, form an ideal of R, say pp. If A is a primal ideal of R, P is called the adjoint ideal of A. The adjoint ideal of a primal ideal is prime [2]. The definition of primal ideals may also be formulated as follows: An ideal A of a ring R is primal if in the residue class ring R/A the zero divisors form an ideal of R/A. If Q is a primary idel of a ring R then every zero divisor of R/Q is nilpotent; therefore, Q is a primal ideal of R. That a primal ideal need not be primary, is shown by an example in [2]. Let R[X], and R[[X]] denote the polynomial ring and formal power series ring in an indeterminate X over a ring R, respectively. Let S be a multiplicative system in a ring R and S$^{-1}$ R the quotient ring of R. Let Q be a P-primary ideal of a ring R. Then Q[X] is a P[X]-primary ideal of R[X], and S$^{-1}$ Q is a S$^{-1}$ P-primary ideal of a ring S$^{-1}$ R if S.cap.P=.phi., and Q[[X]] is a P[[X]]-primary ideal of R[[X]] if R is Noetherian [1]. We search for analogous results when primary ideals are replaced with primal ideals. To show an ideal A of a ring R to be primal, it sufficies to show that a-b is a zero divisor modulo A whenever a and b are zero divisors modulo A.

• 한국식물학회:학술대회논문집
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• 한국식물학회 1987년도 식물생명공학 심포지움 논문집 Proceedings of Symposia on Plant Biotechnology
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• pp.323-347
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• 1987

The R locus of maize in one of several genes that regulate the anthocyanin pigments throughout the body of the plant and seed. The R gene product may regulate pigment deposition by controlling the expression of the flavonoid biosynthetic gene pathway in a tissue-specific manner. To understand the basis for tissue specific regulation and allelic variation at R, the molecular study has been done by cloning a portion of the R complex by transposon tagging with Ac. R specific probe were cloned from the R-nj mutant induced by Ac insertion mutagenesis. From southern analysis of R-r complex using the R-nj probe, the structure of R-r was proposed that R-r containes the three elements, (P)(Q)(S). These elements may organize as the inversion triplication model which (S) sequence was inverted in relation to (P) and (Q). The R-sc derivated from R-mb or R-nj was cloned with R-nj probe, and molecular genetical data showed that R-sc containes tissue specific and tissue nonspecific area, and the sequencing of R-sc are progressed now.

• Animal cells and systems
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• 제6권2호
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• pp.145-151
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• 2002

Phylogenetic signal present in the mitochondrial 16S ribosomal RNA gene (16S rDNA) and the nuclear large subunit ribosomal RNA gene (28S rDNA) was explored to assess their utility in resolving family level relationships of the superfamily Tephritoidea. These two genes were chosen because they appear to evolve at different rates, and might contribute to resolve both shallow and deeper phylogenetic branches within a highly diversified group. For the 16S rDNA data set, the number of aligned sites was 1,258 bp, but 1,204 bp were used for analysis after excluding sites of ambiguous alignment. Among these 1,204 sites, 662 sites were variable and 450 sites were informative for parsimony analysis. For the 28S rDNA data set, the number of aligned sites was 1,102 bp, but 1,000 bp were used for analysis after excluding sites of ambiguous alignment. Among these 1000 sites, 235 sites were variable and 95 sites were informative for parsimony analysis. Our analyses suggest that: (1) while 16S rDNA is useful for resolving more recent phylogenetic divergences, 28S rDNA can be used to define much deeper phylogenetic branches; (2) the combined analysis of the 16S and 28S rDNAs enhances the overall resolution without losing phylogenetic signal from either single gene analysis; and (3) additional genes that evolve at intermediate rates between the 16S and 28S rDNAs are needed to further resolve relationships among the tephritoid families.

• 대한화학회지
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• 제26권5호
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• pp.310-319
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• 1982

여섯자리형 리간드, N,N,N',N'-tetrakis(2-amino-ethyl)-1,2-ethanediamine (ten), -1,3-propanediamine (ttn), -1,4-butanediamine (ttmd), -(R,R)- 및 -(R,S)-2,4-pentanediamine (tptn)등을 포함하는 코발트(III) 착물을 합성하고, 아울러 이들 착물에서 킬레이트 고리 크기와 confomation의 변화에 대한 d-d 흡수띠의 특성을 전자 흡수스펙트럼으로 조사하였다. $[Co(L)]^{3+}$ 착물에 대한 제일 d-d 흡수띠는 리간드(L)에 대하여 다음과 같은 차례로 약간 낮은 파동수 쪽으로 이동하였음을 알 수 있었다. ttn > (R,R)-tptn > ten > ttmd${\simeq}$(R,S)-tptn. $[Co(R,S-tptn)]^{3+}$ 착물에서 R, S-tptn 리간드는 2,4-pentanediamine 부분에 있는 하나의 methyl 그룹이 axial 방향을 취하면서 여섯자리 리간드로 중심 코발트(III) 이온에 배위하고 있음을 UV, $^{13}C$ NMR, Circular Dichroism등의 분광학적인 자료에서 알 수 있었다.

• 대한수학회보
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• 제40권1호
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• pp.149-157
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• 2003

Let M be an exponentially bounded o-minimal expansion of the standard structure R = (R ,＋,.,<) of the field of real numbers. We prove that if r is a non-negative integer, then every definable $C^{r}$ manifold is affine. Let f : X ${\longrightarrow}$ Y be a definable $C^1$ map between definable $C^1$ manifolds. We show that the set S of critical points of f and f(S) are definable and dim f(S) < dim Y. Moreover we prove that if 1 < s < ${\gamma}$ < $\infty$, then every definable $C^{s}$ manifold admits a unique definable $C^{r}$ manifold structure up to definable $C^{r}$ diffeomorphism.