• Journal of applied mathematics & informatics
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• 제30권3_4호
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• pp.455-462
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• 2012

The cyclic group $Cn={\langle}(12{\cdots}n){\rangle}$ acts on the set ($^{[n]}_k$) of all $k$-subsets of [$n$]. In this action of $C_n$ the number of orbits of size $d$, for $d|n$, is $$O^{n,k}_d=\frac{1}{d}\sum_{\frac{n}{d}|s|n}{\mu}(\frac{ds}{n})(^{n/s}_{k/s})$$. Stanton and White[7] generalized the above identity to construct the orbit polynomials $$O^{n,k}_d(q)=\frac{1}{[d]_{q^{n/d}}}\sum_{\frac{n}{d}|s|n}{\mu}(\frac{ds}{n})[^{n/s}_{k/s}]{_q}^s$$ and conjectured that $O^{n,k}_d(q)$ have non-negative coefficients. In this paper we give a combinatorial proof for the positivity of coefficients of the orbit polynomial $O^{n,3}_d(q)$.

• Korean Journal of Mathematics
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• 제25권3호
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• pp.349-358
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• 2017

The cyclic group $C_n={\langle}(12{\cdots}n){\rangle}$ acts on the set $(^{[n]}_k)$ of all k-subsets of [n]. In this action of $C_n$ the number of orbits of size d, for d | n, is $$O^{n,k}_d={\frac{1}{d}}{\sum\limits_{{\frac{n}{d}}{\mid}s{\mid}n}}{\mu}({\frac{ds}{n}})(^{n/s}_{k/s})$$. Stanton and White [6] generalized the above identity to construct the orbit polynomials $$O^{n,k}_d(q)={\frac{1}{[d]_{q^{n/d}}}}{\sum\limits_{{\frac{n}{d}}{\mid}s{\mid}n}}{\mu}({\frac{ds}{n}})[^{n/s}_{k/s}]_{q^s}$$ and conjectured that $O^{n,k}_d(q)$ have non-negative coefficients. In this paper we give a constructive proof for the positivity of coefficients of the orbit polynomial $O^{n,2}_d(q)$.

• Bulletin of the Korean Chemical Society
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• 제22권12호
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• pp.1333-1336
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• 2001

A theoretical analysis is presented for the multichannel type resonance at energies above the dissociation threshold to O(1D) in the photodissociation of OH. Dissociations to both oxygenic terms O(3P) and O(1D) are treated. Total cross sections for producing these oxygen terms display asymmetric resonance due to the quantum interference resulting from complicated interplay of electronic states correlating to these two oxygenic terms. The branching ratios of O(3Pj, j = 0, 1, 2), and the vector properties of O(3Pj, j =0,1,2) and O(1D) display extensive changes near the threshold resonance as the result of the interactions among the electronic states correlated with O(3P) and O(1D).

• 한국진공학회:학술대회논문집
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• 한국진공학회 2011년도 제40회 동계학술대회 초록집
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• pp.333-333
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• 2011

We studied the H/D exchange kinetics of pure and acid dopped water-ice film by using the techniques of reactive ions scattering (RIS) and low energy sputtering (LES) with low kinetic energy cesium ion beam (<35 eV). From RIS, neutral water isotopomers were detected in the form of cesium-molecule ion clusters, $CsX^+$ (X= $H_2O$, HDO, $D_2O$). Ionic species, like $H_3O^+$, $DH_2O^+$, $D_2HO^+$, $D_3O^+$, adsorbed on the surface were ejected via LES process. Those techniques allowed us to trace the isotopomeric populations of water-ice film. To show the catalytic effect of excess proton in the H/D exchange reaction, our study was conducted with two types of water-ice films. In film 1, about 0.5 BL of $H_2O$ was adsorbed on HCl (0.1 ML) dopped $D_2O$ (8 BL) film. In film 2, similar amount of $H_2O$ used in film 1 was adsorbed on pure $D_2O$ film. Kinetic data were obtained from each film type for 90-110 K (film 1) and 110-130 K (film 2) and fitted with numerically integrated lines. Through the Arrhenius plot of kinetic coefficient deduced from fitting of the H/D exchange reaction, the activation energy of film 1 and 2 were estimated to be $10{\pm}3kJmol^{-1}$ and $17{\pm}4kJmol^{-1}$. This activation barrier difference could be understood from detailed pictures of H/D exchange. In film 2, both the formation of ion pair, $H_3O^+$ and OH. and proton transfer were needed for the H/D exchange. However, in film 1, only proton transfer was necessary but ion pair formation was not, so this might reduce the activation energy.

• Animal Systematics, Evolution and Diversity
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• 제11권2호
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• pp.207-221
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• 1995

남한해역에서 채집된 Raja속 어류를 Ishihara(1987)의 분류기준에 따라 동정한 결과 Raja(Okamejei) meerdervoortii Bleeker(오동가오리), R.(O.) acutispina Ishiyama(국명신칭:무늬홍어), R.(O.) kenojei Muller et Henle(홍어), R.(Dipturus) kwangtungensis Chu(국명신칭: 참홍어), R.(D.)pulchra Liu(눈가오리)등 5종이 확인되었다. 5종 10집단 165개체에 대한 전기영동법을 이용한 동위효소 분석 결과 13개의 효소 및 비효소성 단백질에서 24개의 유전자를 검출하고 대립인자 빈도를 산출하여 종간 비교를 실기하였다. 5종 중 R.(O.) kenojei 집단은 4집단 간 평균 S = 0.966으로 매우 가까운 유전적 근연치를 나타냈으며, R.(O.) meerdervoortii와 R.(O.) acutispina는 유전적 근연치가 S = 0.749였으며, R.(O.) kenojei와 R.(D.) kwangtungensis는 S = 0.829였으나, R.(D.) pulchra는 다른 4종과 S = 0.597의 값을 나타내어 유전적 근연관계가 제일 멀게 나타났다. R.(D.) kwangtungensis의 경우 동일 아속인 Dipturus 아속에 속하는 R.(D.) pulchra와는 유전적 근연치가 S = 0.648로 뚜렷한 차이가 있었으나, Okamejei 아속에 속하는 R.(O.) kenojei와는 S = 0.829의 가까운 유전적 근연치를 나타내어 주목된다. R.(O.) acutispina와 R.(D.) kwangtungensis는 한국 미기록종으로 동정되었다.

• Natural Product Sciences
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• 제18권4호
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• pp.273-278
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• 2012

Further phytochemical investigation on the whole plant of Thyrsanthera suborbicularis, collected in Cambodia, led to kaempferol (1), vitexin (2), apigenin-7-O-neohesperidoside (3), chrysoeriol-7-O-${\beta}$-D-glucopyranoside (4), isorhamnetin 3-O-rutinoside (5), kaempferol-3-O-[${\alpha}$-L-rhamnopyranosyl-(13)-${\alpha}$-L-rhamnopyranosyl-(16)-${\beta}$-D-galactopyranoside (6), kaempferol-3-O-${\alpha}$-L-rhamnopyranosyl(12)-O-[${\alpha}$-L-rhamnopyranosyl (16)]-${\beta}$-D-glucopyranoside (7), kaempferol-3-O-[6"-O-(E)-p-coumaroyl]-${\beta}$-D-glucopyranoside (8), kaempferol-3-O-[6"-O-(E)-p-coumaroyl]-${\beta}$-D-galactopyranoside (9), and amentoflavone (10). All the structures were confirmed by the interpretation of NMR (1D and 2D) and MS data, and comparison with the published values. Of the isolated compounds 1 - 10, compounds 8 and 10 displayed the inhibitory activity against NO production in LPS-induced Raw 264.7 cells with $IC_{50}$ values, 3.56 and $15.73{\mu}M$, respectively.

• Bulletin of the Korean Chemical Society
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• 제21권6호
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• pp.562-566
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• 2000

$\beta-D-Mannopyranosyl$ disaccharides have been obtained from the coupling of 4,6-O-benzylidene derivatives of ethylthio $\alpha-D-mannopyranoside$ employing NIS-TfOH promoter. NIS-TfOH promoted couplings of the corresponding ethylthio $\beta-D-glucopyranoside$ and produced $\alpha-D-glucopyranosyl$ disaccharides. IDCP (iodonium dicollidine perchlorate) was inactive toward the 4,6-O-benzylidenated ethylthio glucopyranosyl donor. However,lDCP coupled the 4,6-O-benzylidenated $ethylthio-\beta-D-galactopyranoside$ to give a-D-galactopyranosyl disaccharides.

• 한국전기전자재료학회논문지
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• 제16권12호
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• pp.1071-1076
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• 2003

The nonlinear properties and their stability of ZPCCD- based varistors, which are composed of ZnO P $r_{6}$ $O_{ll}$ - CoO-C $r_2$ $O_3$-D $y_2$ $O_3$-based ceramics, were investigated in the D $y_2$ $O_3$ content range of 0.0∼2.0 mol%. The incorporation of D $y_2$ $O_3$ greatly affected the nonlinear properties and the best nonlinearity was obtained from 0.5 mol% D $y_2$ $O_3$ with nonlinear exponent of 66.6 and leakage current of 1.2 $\mu$A. Further addition of D $y_2$ $O_3$ deteriorated the nonlinear properties. In stability against DC accelerated aging stress state: 0.95 $V_{1mA}$/15$0^{\circ}C$/24 h, the 0.5 mol％ D $y_2$ $O_3$-doped varistor exhibited the highest stability, in which the variation rate of varistor voltage and nonlinear exponent are -1.9% and 10.5%, respectively. The remainder varistors resulted in thermal runaway due to low density of ceramics.s.s.

• 약학회지
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• 제39권2호
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• pp.141-147
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• 1995

Four steroids have been isolated from the subterranean parts of Smilax nipponica Miquel (Liliaceae). The structures of these compounds were characterized on the basis of chemical and speectral data. They were $\beta$-sitosterol, $\beta$-sitosterol-3-O-$\beta$-D-glucopyranoside, neotigogenin-3-O-$\beta$-D-glucopyranoside and a new steroidal saponin designated as smilanippin A which was elucidated as neotigogenin-3-O-$\beta$-D-fucopyranosyl(1$\rightarrow$6)-$\beta$-D-glucopyranos ide.

• 생약학회지
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• 제23권4호
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• pp.221-224
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• 1992

From the roots of Angelica dahurica Bentham et Hooker(Umbelliferae), three coumarin glycosides have been isolated and identified as skimmin, $8-O-{\beta}-D-glucopyranosyl$ xanthotoxol and $tert.-O-{\beta}-D-glucopyranosyl-heralenol$. $8-O-{\beta}-D-Glucopyranosyl-xanthotoxol$ was isolated for the first time from plant source.