• Bulletin of the Korean Chemical Society
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• 제33권11호
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• pp.3793-3796
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• 2012

A novel 3D compound $\{[Cu(L)(H_2O)_4][Cu_2(SIP)_2(L)_2]\}{\cdot}2H_2O$ (1) (L = N,N-bis(4-pyridinecarboxamide)-1,4-butane, SIP = 5-sulfoisophthalate) is hydrothermally synthesized. X-ray diffraction analysis reveals that compound 1 is composed of 2D anionic $[Cu_2(SIP)_2(L)_2]_n{^{2n-}}$ double-layers and discrete 1D cationic $[CuL(H_2O)_4]_n{^{2n+}}$ polymeric chains, which represents a rare 3D polypseudo-rotaxane MOF from intercalation of 1D and 2D framework. In addition, the luminescent property and electrochemical behavior of compound 1 have been investigated.

• 대한약학회:학술대회논문집
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• 대한약학회 2003년도 Proceedings of the Convention of the Pharmaceutical Society of Korea Vol.2-2
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• pp.173.2-173.2
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• 2003

Vanilloid receptor I (VR1) is a nonselective cation ion channel placed in the plasma membrane of peripheral sensory neurons that is potential target for analgesia A series of N-4-substituted-benzyl-N'-tert-butylbenzyl thioureas were prepared for the study of their agonistic/antagonistic activities to the vanilloid receptor in rat DRG. Their structure-activity relationship in reveals that not only the two oxygens and amide hydrogen of sulfonamido group but also the optimal size of methyl in methanesulfonamido group play an integral role for the antagonistic activity on vanilloid receptor.

• Kyungpook Mathematical Journal
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• 제56권2호
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• pp.349-355
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• 2016

For any integer $n{\geq}2$, each palindrome of n induces a circulant graph of order n. It is known that for each integer $n{\geq}2$, there is a one-to-one correspondence between the set of (resp. aperiodic) palindromes of n and the set of (resp. connected) circulant graphs of order n (cf. [2]). This bijection gives a one-to-one correspondence of the palindromes ${\sigma}$ with $gcd({\sigma})=1$ to the connected circulant graphs. It was also shown that the number of palindromes ${\sigma}$ of n with $gcd({\sigma})=1$ is the same number of aperiodic palindromes of n. Let $a_n$ (resp. $b_n$) be the number of aperiodic palindromes ${\sigma}$ of n with $gcd({\sigma})=1$ (resp. $gcd({\sigma}){\neq}1$). Let $c_n$ (resp. $d_n$) be the number of periodic palindromes ${\sigma}$ of n with $gcd({\sigma})=1$ (resp. $gcd({\sigma}){\neq}1$). In this paper, we calculate the numbers $a_n$, $b_n$, $c_n$, $d_n$ in two ways. In Theorem 2.3, we $n_d$ recurrence relations for $a_n$, $b_n$, $c_n$, $d_n$ in terms of $a_d$ for $d{\mid}n$ and $d{\neq}n$. Afterwards, we nd formulae for $a_n$, $b_n$, $c_n$, $d_n$ explicitly in Theorem 2.5.

• 산업경영시스템학회지
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• 제34권1호
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• pp.67-73
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• 2011

Using the known result of the expected busy period for a controllable M/G/1 queueing model operating under the triadic Max (N, T, D) policy, its upper and lower bounds are derived to approximate its corresponding actual value. Both bounds are represented in terms of the expected busy periods for the dyadic Min (N, T), Min (N, D) and Min (T, D) and simple N, T and D operating policies. All three input variables N, T and D are equally contributed to construct such bounds for better estimation.

• 산업경영시스템학회지
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• 제33권2호
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• pp.97-104
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• 2010

Using the known result of the expected busy period for the triadic Min (N, T, D) operating policy applied to a controllable M/G/1 queueing model, its upper and lower bounds are derived to approximate its corresponding actual value. Both bounds are represented in terms of the expected busy periods for the dyadic Min (N, T), Min (N, D) and Min (T, D) and simple N, T and D operating policies. All three input variables N, T and D are equally contributed to construct such bounds for better approximations.

• Korean Journal of Mathematics
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• 제21권3호
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• pp.319-323
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• 2013

Let D be a principal ideal domain, X be an indeterminate over D, D[X] be the polynomial ring over D, and $R_n=D[X]/(X^n)$ for an integer $n{\geq}1$. Clearly, $R_n$ is a commutative Noetherian ring with identity, and hence each nonzero nonunit of $R_n$ can be written as a finite product of irreducible elements. In this paper, we show that every irreducible element of $R_n$ is a primary element, and thus every nonunit element of $R_n$ can be written as a finite product of primary elements.

• 대한수학회보
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• 제47권4호
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• pp.815-823
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• 2010

Let ${\tau}\;{\neq}\;\delta_0$ be either a power bounded radial measure with compact support on the unit disc D with $\tau(D)\;=\;1$ such that there is a $\delta$ > 0 so that ${\mid}\hat{\tau}(s){\mid}\;{\neq}\;1$ for every $s\;{\in}\;\Sigma(\delta)$ \ {0,1}, or just a radial probability measure on D. Here, we provide a decomposition of the set X = {$h\;{\in}\;L^{\infty}(D)\;{\mid}\;lim_{n{\rightarrow}{\infty}}\;h\;*\;\tau^n$ exists}. Let $\tau_1$, ..., $\tau_n$ be measures on D with above mentioned properties. Here, we prove that if $f\;{in}\;L^{\infty}(D^n)$ satisfies an invariant volume mean value property with respect to $\tau_1$, ..., $\tau_n$, then f is n-harmonic.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제11권1호
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• pp.41-56
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• 2007

A 3-partite 2-digraph is an orientation of a 3-partite multi-graph that is without loops and contains at most two edges between any pair of vertices from distinct parts. Let D(X, Y, Z) be a 3-partite 2-digraph with ${\mid}X{\mid}=l,\;{\mid}Y{\mid}=m,\;{\mid}Z{\mid}=n$. For any vertex v in D(X, Y, Z), let $d^+_{\nu}\;and\;d^-_{\nu}$ denote the outdegree and indegree respectively of v. Define $p_x=2(m+n)+d^+_x-d^-_x,\;q_y=2(l+n)+d^+_y-d^-_y\;and\;r_z=2(l+m)+d^+_z-d^-_z$ as the marks (or 2-scores) of x in X, y in Y and z in Z respectively. In this paper, we characterize the marks of 3-partite 2-digraphs and give a constructive and existence criterion for sequences of non-negative integers in non-decreasing order to be the mark sequences of some 3-partite 2-digraph.

• 한국정보처리학회:학술대회논문집
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• 한국정보처리학회 2004년도 춘계학술발표대회
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• pp.903-906
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• 2004

D-클래스는 원소가 0과 1값을 가지는 $n{\times}n$ 불리언 행렬에서 특정 관계(relation)에 따라 동치(equivalent) 관계에 있는 $n{\times}n$ 행렬의 집합을 의미한다. D-클래스의 계산은 NP-완전 문제로서 보안에 응용될 수 있는 가능성을 가지고 있으나 계산 복잡도로 인해 현재 극히 제한된 크기의 행렬에 대한 D-클래스만이 알려져 있다. 본 논문은 이러한 D-클래스의 계산을 효율적으로 할 수 있는 알고리즘의 설계와 실행 결과에 대하여 논한다.

• 분석과학
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• 제21권6호
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• pp.459-473
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• 2008

부틸주석화합물로(TBT)를 포함한 여러 방오제와 그 유도체 들은 지난 수년 동안 사용되어 왔다. 그러나 이중 특히 환경적으로 심각한 영향을 미치는 TBT의 사용이 한국에서 2003년에 법적으로 사용이 제한 되었다. 이 법적인 제한 이 후 TBT를 대신하여 새로운 방오제가 지금까지 사용 되어 왔다. 본 실험에서는 4가지의 주요한 새로운 방오제가 한국의 바닷물과 갯벌에 얼마큼 용출이 되어 있는지 분석을 하였다. 이 새로운 방오는 바닷물의 경우 액체-액체 방법에 의하여, 갯벌의 경우 마이크로웨이브 방법에 의하여 추출되었다. 바닷물의 경우 Irgarol 1051의 경우 N.D.$-23.80ng/{\ell}$의 농도로 검출되었으며 Sea-Nine 211의 경우 N.D.$-15.30ng/{\ell}$의 농도로 검출되었으며, Dichlofluanid 의 경우 N.D.$-61.69ng/{\ell}$의 농도로 검출이 되었으며, Chlorothalonil의 경우 N.D.$-4.19ng/{\ell}$의 범위로 검출이 되었다. 갯벌의 Irgarol 1051의 경우 N.D.-159.45 ng/g의 농도로 검출되었으며 Sea-Nine 211의 경우 N.D.-476.57 ng/g의 농도로 검출되었으며, Dichlofluanid 의 경우 N.D.-59.79 ng/g 의 농도로 검출이 되었으며, Chlorothalonil 의 경우 N.D.-21.27 ng/g의 범위로 검출이 되었다.