• 호남수학학술지
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• 제2권1호
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• pp.19-23
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• 1980

본(本) 논문(論文)은 Cohomotopy군(群)과 Cohomolopy군(群) 사이의 몇가지 관계(關係)를 구명(究明)한 것이다. 논문(論文)의 주부분(主部分)으로서 ⅰ) 어떤 조건하(條件下)에서 $${\pi}^m(X,A){\sim_=}H^m(X,A)$$ (Theorem 2, Corollary 3) ⅱ) 어떤 조건하(條件下)에서 $${\pi}^n(X,A)=0{\Leftarrow}{\Rightarrow}H^n(X,A)=0$$ (Theorem 4) ⅲ) 어떤 조건하(條件下)에서 $${\pi}^n(X){\sim_=}{\pi}^n(A){\Leftarrow}{\Rightarrow}H^n(X){\sim_=}H^n(A)$$ (Corollary 5) 가 성립(成立)함을 증명(證明)하였다.

• 한국에너지공학회:학술대회논문집
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• 한국에너지공학회 1996년도 추계학술발표회 논문집
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• pp.34-44
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• 1996

N-machine produces more than input energy at above 3000 rpm. any space energy is absorbed when the N-machine is rotating at a very high velocity. Laws of electromagnetics verify that normal conduction is due to that electrons moves from one three-dimensional crystallizing ${\pi}-bonding$ orbital to next. The ${\pi}-far$ infrared rays are generated from the resonance and rotation of the electrons on the orbitals of three-dimensional crystallizing ${\pi}-bonding$ atoms. Material in universe is composed of ${\pi}-rays$, which have alternative outward electric field. If the alternative outward electric fields of the ${\pi}-rays$ are resonant each other they make attraction force, which is the gravity. The collection of space energy is due to a attraction force between the radially alternating electric field and the ${\pi}-far$ infrared rays in the space. Electrons flow by absorbed density difference of ${\pi}-far$ infrared rays along a conduction wire, which also verifies that normal electron conduction is due to a flow from one three-dimensional crystallizing ${\pi}-bonding$ orbital to next.

• Bulletin of the Korean Chemical Society
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• 제4권4호
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• pp.157-161
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• 1983

Ab initio calculations were performed on systems containing various basic ${\pi}$ fragments and glycines to generalize the ${\pi}$-nonbonded interaction (${\pi}$-NBI) method of determining relative conformational and configurational stability of organic molecules. It was found that the relative stability of conformational isomers can be determined in general by the simple application of the ${\pi}$-NBI method, but the method is not applicable to the geometrical isomerism in which stronger structural factors are involved. The ${\pi}$-NBI effect of a crowded ${\pi}$-structure ($n{\pi}/m$) is maximum for the system in which n is equal to m. In crowded structures containing heteroatoms, ${P^{\pi}}_{ij}$ values of 4N+1 system may become negative, but this sign reversal does not invalidate the predictions based on the ${\pi}$-NBI method.

• 대한수학회논문집
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• 제10권4호
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• pp.875-880
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• 1995

Let $S_p(\alpha)$ denote the class of the Spirallike functions of order $\alpha, 0 < $\mid$\alpha$\mid$ < \frac{\pi}{2}$ Let $\Pi_N$ denote the subset of $S_p(\alpha)$ consisting of all products $z\Pi^N_{j=1}(1-u_j z)^{-mt_j}$ where $m = 1 + e^{-2i\alpha},$\mid$u_j$\mid$ = 1, t_j > 0$ for $j = 1, \cdots, N$ and $\sum^{N}_{j=1}{t_j = 1}$. In this paper we prove that extreme points of $S_p(\alpha)$ may be found which lie in $\Pi_N$ for some $N \geq 2$. We are let to conjecture that all exreme points of $S_p(\alpha)$ lie in $\Pi_N$ for somer $N \geq 1$ and that every such function is an extreme point.

• The Korean Journal of Ecology
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• 제8권1호
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• pp.1-5
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• 1985

The plastochron index (PI) provides possibility on studies of the effects of various environmental factors on morphological and physiological development of plants. The PI of Erickson and Michemlini(1957) could be used merely when leaf n is longer an leaf n+1 is smaller than the references length at any time. If both the lengths of leaf n and n+1 are smaller or longer than the reference length, it could not estimated. In this study, the PI of Erickson and Michelini was complemented and the linear patterns according to leaf arrangement was represented, PI is n-(lnLR-lnLn)/(lnLn-lnLn+1). And when both the lengths of leaf n and n+1 are longer than the length of reference, PI is n+1+(ln Ln+1-lnLR)/(lnLn-lnLn+1). The linear model of PI is changed by the various environmental factors and the linear patterns are different according to leaf arrangement. According to leaf arrangement, the equation of the general regression lines is Yin-(i-j)=a-(n-1)(q1+...+qi-1)-(q1+...+qj-1)+rt+$\varepsilon$. Where Y:the logarithmic of the leaf length in question, i:leaf number hang on the one node, n:the number counting from base, q:spacing on the Y-axis, j:0, 1, 2, ..., r:slope, t:time, $\varepsilon$:error.

• 한국응용약물학회:학술대회논문집
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• 한국응용약물학회 2001년도 추계학술대회 및 정기총회
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• pp.103-103
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• 2001

인간유방상피세포에서 H-ras가 침윤성과 세포 이동성을 유도한다는 것을 이 전연구에서 밝혔다. Phosphatidylinositol 3-kinase(PI3K)는 세포 이동성에서 중요한 역할을 하는 것으로 보고되고 있다. 본 연구에서 인간유방상피세포인 MCF10A에서 H-ras에 의해 유도된 침윤성에 PI3K가 어떠한 영향을 미치는지 살펴보고자 하였다. PI3K의 활성은 PI3K의 downstream molecule인 Akt의 인산화를 Western blot으로 확인하였다. Akt는 MCF10A, H-ras, N-ras MCF10A 세포에서 같은 정도로 발현되는 반면, 인산화된 Akt는 MCF10A 세포에 비해 H-ras MCF10A 세포와 N-ras MCF10A 세포에서 현저히 높게 나타났다. 이상의 결과로서 H-ras, N-ras 둘 다 PI3K를 활성화시키며, 침윤성과 세포이동성이 없는 N-ras MCF10A 세포에서도 PI3K가 활성화되었으므로, PI3K의 활성은 세포침윤성과 이동성을 유도하는데에 있어서 충분하지는 않음을 말해준다. PI3K의 저해제인 LY294002와 wortmannin을 세포에 처리하였을 때 세포침윤성과 이동성이 유의성 있게 감소되었다. 이상의 결과는 MCF10A 세포의 침윤성과 이동설에 있어서 PI3K의 활성이 충분하지는 않지만 반드시 필요하다는 것을 알 수 있었다.

• 대한수학회논문집
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• 제18권2호
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• pp.367-374
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• 2003

Let N be a Closed n-manifold with residually finite, torsion free $\pi$$_1$(N) and finite H$_1$,(N). Suppose that $\pi$$\_$k/(N)=0 for 1 < k < n-1. We show that N is a codimension-n PL fibrator if and only if N does not cover itself regularly and cyclically up to homotopy type, provided $\pi$$_1$(N) satisfies a certain condition.

• 대한화학회지
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• 제25권2호
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• pp.61-66
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• 1981

팔면체 [M(Ⅲ)$A_3B_3$]형태 착물의 쌍극자모멘트에 ${\pi}$결합 분자궤도함수의 기여분을 계산하는 방법을 발전시켰다. [M(Ⅲ) = Ti(Ⅲ), V(Ⅲ), Cr(Ⅲ), Fe(Ⅲ), 또는 Co(Ⅲ); A = O 또는 N; B = N, S 또는 Cl] 쌍극자모멘트에 대한 ${\pi}$결합 분자궤도함수의 기여분은 ${\sigma}$결합 분자궤도함수의 기여분보다 작지만 비 편재화 ${\pi}$전자를 가지고 있는 킬레이트 착물에 까지도 무시할 수 없음이 발견되었다. 계산한 쌍극자모멘트가 ${\sigma}$결합 형성 만을 가정했을 때 보다 실험치에 가까웠다.

• 대한화학회지
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• 제22권4호
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• pp.239-244
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• 1978

Stilbene 유도체인 trans-1,2-bispyrazylethylene에 대한 분광학적 연구를 행하였다. 보통의 자외선 흡수스펙트럼에서는 $n{\rightarrow}{\pi}^*$ 흡수밴드는 에너지가 비슷한 ${\pi}{\rightarrow}{\pi}^*$ 흡수밴드에 가려져서 나타나지 않는데 2차 미분 스펙트럼과 저온(77˚K)에서의 스펙트럼으로 부터 $n{\rightarrow}{\pi}^*$ 흡수 밴드를 확인할 수가 있었다. 또한 ${\pi}{\rightarrow}{\pi}^*$ 흡수밴드들의 전이에너지를 PPP-SCF-CI MO 방법으로 계산한 결과 스펙트럼에서 얻은 값과 잘 일치했다. 형광스펙트럼, 형광편광스펙트럼, 그리고 PPP-SCF-CI MO 방법에 의한 계산으로부터 형광을 내는 상태는 $^1({\pi},\;{\pi}^*)$ 상태임을 알 수가 있었으며 이것은 형광에 대한 alkaline salt effect의 결과와 일치한다.

• Bulletin of the Korean Chemical Society
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• 제6권5호
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• pp.277-279
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• 1985

Orbital interactions of the types, ${\sigma}-{\pi},\;{\sigma}^*-{\pi},\;{\sigma}-{\pi}^*\;and\;{\sigma}^*-{\pi}^*$ are investigated for the rotamers of ${\alpha}$-X-acetones (X = F and Cl) using STO-3G method of calculation. It was found that the interactions are possible only in gauche forms, and the ${\sigma}^*-{\pi}^*$ interactions are in general greater than the $\sigma-\pi$ interactions due to the greater overlap, in spite of the greater energy gap involved; the greater ${\sigma}^*-{\pi}^*$ interaction causes greater lowering of ${\pi}^*$ level relative to the lowering of ${\sigma}$ in the ${\sigma}-{\pi}$ interaction so that both ${\sigma}-{\pi}^*$ and $n-{\pi}^*$ interactions are enhanced in the gauche forms. The extra stability of the gauche form and the red shift in the $n-{\pi}^*$ transition are thus found to be natural corollaries of the greater ${\sigma}^*-{\pi}^*$ interaction in the gauche forms.