• Journal of the Korean Statistical Society
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• 제23권2호
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• pp.223-238
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• 1994

A random vector $\b{X} = (X_1,\cdots,X_n)$ is weakly associated if and only if for every pair of partitions $\b{X}_1 = (X_{\pi(1)},\cdots,X_{\pi(k)}), \b{X}_2 = (X_{\pi(k+1),\cdots,X_{\pi(n)})$ of $\b{X}, P(\b{X}_1 \in A, \b{X}_2 \in B) \geq P(\b{X}_1 \in A)\b{P}(\b{X}_2 \in B)$ whenever A and B are open upper sets and $\pi$ is a permutation of ${1,\cdots,n}$. In this paper, we develop notions of weak positive dependence, which are weaker than a positive version of negative association (weak association) but stronger than positive orthant dependence by arguments similar to those of Shaked. We also illustrate some concepts of a particular interest. Various properties and interrelationships are derived.

• 대한화학회지
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• 제30권1호
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• pp.9-18
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• 1986

${\alpha}$-치환아세톤($CH_2XCOCH_3$, X = F, Cl, OH, SH 및 $NH_2$)의 상대적 형태안정성을 결정하기 위하여 MNDO 및 STO-3G계산을 수행하였다. 계산결과 cis형이 더 안정한 F 및 $NH_2$ 치환 아세톤의 경우를 제외하고 모두 gauche형에 해당하는 형태이성체가 안정함을 밝혔다. gauche형에 대한 안정성은 ${\sigma}_{cx}$와 ${\pi}_{co}^*$궤도간의 two-orbital-two-electron상호작용에 의한 것으로 생각되며 이것은 gauche형에서의 vicinal overlap이 상당히 크다는 점과 두 궤도간의 에너지간격이 작다는 점에서 비롯된다. 아울러 이러한 에너지간격의 좁힘현상은 ${\sigma}_{cx}^*$-${\pi}_{co}^*$궤도간의 hyperconjugation상호작용 때문에 ${\pi}_{co}^*$궤도가 낮아졌기 때문이다. 또한 gauche형에서의 여러가지 ${\sigma}-{\pi}$상호작용들은 X가 Cl 및 SH인 3주기 원자들에게 더 강함을 보였다. 한편 질소원자의 비결합궤도함수 $n_N$과 인접 C-C ${\sigma}$결합의 상호작용은 cis일 경우 보다 trans배향일 경우에 더 강하였다.

• Journal of applied mathematics & informatics
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• 제22권1_2호
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• pp.441-452
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• 2006

We introduce the counting function ${\pi}^*_{2.8}(x)$ of the primes with difference 8 between consecutive primes ($p_n,\;p_{n+l}=p_n+8$) can be approximated by logarithm integral $Li^*_{2.8}$. We calculate the values of ${\pi}^*_{2.8}(x)$ and the sum $C_{2,8}(x)$ of reciprocals of primes with difference 8 between consecutive primes $p_n,\;p_{n+l}=p_n+8$ where x is counted up to $7{\times}10^{10}$. From the results of these calculations. we obtain ${\pi}^*_{2.8}(7{\times}10^{10}$)= 133295081 and $C_{2.8}(7{\times}10^{10}) = 0.3374{\pm}2.6{\times}10^{-4}$.

• Asian-Australasian Journal of Animal Sciences
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• 제25권4호
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• pp.552-558
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• 2012

A $2{\times}2$ factorial experiment was conducted to study the effect of dietary calcium and non-phytate phosphorus (nPP) imbalance on calbindin and NaPi-IIb mRNA levels in the small intestine and tibia parameters of broiler chicks. One hundred and forty four 1-d-old Arbor Acres male broiler chicks were divided into four treatments consisted of six replicates with six chicks each. The two dietary calcium levels were 1.10% and 0.60%, and two dietary nPP levels were 0.50% and 0.27%. Results showed that a high Ca/nPP ratio diet (4.07:1) significantly depressed feed intake and weight gain of broilers (p<0.05), but a lower Ca:nPP ratio (1.2:1) had no influence (p>0.05). Low-Ca with low-P diet resulted in low tibia minerals and tibia breaking strength of broilers, and all the tibia parameters were further decreased when the dietary ratio of Ca to P was relative higher. Low dietary Ca or P up-regulated the calbindin and NaPi-IIb mRNA expression levels. Low Ca with normal P diet up-regulated duodenal calbindin mRNA expression level to the greatest extent. Low P with a normal Ca diet significantly enhanced NaPi-IIb mRNA expression level to the highest extent. These results suggest that the calbindin and NaPi-IIb mRNA expression were enhanced by the imbalance between dietary Ca and nPP, and their expression were not only influenced by Ca or nPP level, but also the ratio of Ca:nPP.

• 분석과학
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• 제6권1호
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• pp.39-45
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• 1993

시스-펩티드 모델 화합물인 디케토페라진을 수용액과 $D_2O$에서 320~218nm 사이의 여기 파장을 이용하여 라만 스펙트럼을 측정하였다. 본 연구는 공명 증폭되는 아미드 밴드를 명명하고, 그 증폭 메카니즘을 규명하는 데 목적이 있다. 3개의 공명 증폭된 시스-펩티드 표본밴드가 수용액 상태에서 1676, 1533, $806cm^{-1}$에서 관찰되었고, 이것을 각각 아미드, I, II, S 밴드로 명명하였다. $1533cm^{-1}$ 아미드 II 밴드는 수용액 상태의 공명 라만 스펙트럼에서 가장 큰 밴드였으며, 순수한 C-N 신축운동이며, N-H를 N-D로 치환한 결과 $1520cm^{-1}$로 이동되었다. 이 밴드는 아마도 단백질내에 존재하는 시스형 펩티드를 관찰할 수 있는 표본 밴드가 될 것으로 예상된다. 여기 주파수를 바꾸어 가며 얻은 라만 밴드 크기 변화와, Albrecht A-항 모델로부터 시스 펩티드 라만 밴드가 188nm 근방의 펩티드 ${\pi}-{\pi}^*$ 전자 전이에 의하여 공명 증폭됨을 증명하였다. 이러한 자료를 바탕으로 시스 펩티드 ${\pi}^*$ 들뜬 상태의 기하구조는 전자 바닥 상태와 비교하여 C-N 결합이 늘어난 형태일 것으로 제안하였다.

• 한국전기전자재료학회:학술대회논문집
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• 한국전기전자재료학회 2007년도 하계학술대회 논문집 Vol.8
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• pp.50-50
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• 2007

We report the effect of the film thickness on electrical properties of Ti(N) film resistors. The applications of titanium nitride thin film resistor in $\Pi$-type attenuators are also characterized. As film thickness decreases from 100 to 30 nm, temperature coefficient of resistance significantly decreases from -60 to -148 ppm/K, while sheet resistance increases from 37 to $270\;{\Omega}/{\square}$. The characterizations of 20dB-attenuators using thin film resistors are improved in comparison with those using thick film resistors. The $\Pi$-type attenuators using Ti(N) thin film resistors exhibit a attenuation of -19.94 dB and voltage standing wave ratio of 1.16 at a frequency of 2.7 GHz.

• 대한수학회논문집
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• 제21권3호
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• pp.475-490
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• 2006

We give a way to obtain formulas for ${\pi}*{\psi}^{\kappa}_{n+1}$ in terms ${\psi}$ and ${\lambda}-classes$ where ${\pi}=\bar M_{g,n+1}{\rightarrow}\bar M_{g,n}(g=0,\;1,\;2)$ by the localization theorem. By using the formulas, we obtain Kontsevich-Manin type reconstruction theorems for $\bar M_{0,\;n}(\mathbb{R^m}),\;\bar M_{1,\;n},\;and\;\bar M_{2,\;n}$. We also (re)produce a lot of well-known relations in tautological rings, such as WDVV equation, the Mumford relations, the string and dilaton equations (g = 0, 1, 2) etc. and new formulas for ${\pi}*({\lambda}_g{\psi}^{\kappa}_{n+1}+...+{\psi}^{g+{\kappa}_{n+1}$.

• Bulletin of the Korean Chemical Society
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• 제23권9호
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• pp.1321-1324
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• 2002

• 대한수학회논문집
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• 제11권4호
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• pp.1077-1085
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• 1996

This paper provides examples which can not be approximate fibrations and shows that if $N^n$ is a closed aspherical manifold, $\pi_1(N)$ is hyperhophian, normally cohophian, and $\pi_1(N)$ has no nontrivial Abelian normal subgroup, then the product of $N^n$ and a sphre $S^m$ satisfies the property that all PL maps from an orientable manifold M to a polyhedron B for which each point preimage is homotopy equivalent to $N^n \times S^m$ necessarily are approximate fibrations.

• 대한수학회논문집
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• 제22권4호
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• pp.527-534
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• 2007

This paper deals with the BK-AK property of the integrated rate space ${\int}{\ell}_{\pi}$. Importance of ${\delta}^{(k)}$ in this content is pointed out. We investigate a determining set for the integrated rate space ${\int}{\ell}_{\pi}$. The set of all infinite matrices transforming ${\int}{\ell}_{\pi}$, into BK-AK space Y is denoted $({\int}{\ell}_{\pi}:\;Y)$. We characterize the classes $({\int}{\ell}_{\pi}:\;Y)$. When $Y={\ell}_{\infty},\;c_0,\;c,\;{\ell}^p,\;bv,\;bv_0,\;bs,\;cs,\;{\ell}_p,\;{\ell}_{\pi}$. In summary we have the following table: