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Photochemical Reactions of Saccharin-$\alpha$-Silylamine Systems. Desilylmethylation of $\alpha$-Silylamine via Single Electron Transfer Pathway

  • Ung Chan Yoon;Young Sim Koh;Hyun Jin Kim;Dong Yoon Jung;Dong Uk Kim;Sung Ju Cho;Sang Jin Lee
    • Bulletin of the Korean Chemical Society
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    • v.15 no.9
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    • pp.743-748
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    • 1994
  • Photochemical reactions of saccharin with tertiary amines were explored. Saccharin was found to undergo an acid-base reaction with N-trimethylsilylmethyl-N,N-diethyl amine to form N-trimethylsilylmethyl-N,N-diethyl ammonium saccharin salt which is in equilibrium with free saccharin and N-trimethylsilylmethyl-N,N-diethyl amine insolution. Photoreaction of N-trimethylsilylmethyl-N,N-diethyl ammonium saccharin in $CH_3OH\;or\;CH_3CN$ results in the generation of desilylmethylated product, N,N-diethyl ammonium saccharin mainly along with benzamide. Photoreaction of N-methylsaccharin with N-trimethylsilylmethyl-N,N-diethyl amine in $CH_3OH$ leads to the production of o-(N-methylcarbamoyl)-N-ethylbenzenesulfonamid e as the major product along with N-methylbenzamide as the minor product. On the other hand, photoreaction of N,N,N-triethyl ammonium saccharin, generated from saccharin and triethylamine, produces N-methylbenzamide as the exclusive product. These photoreactions are quenched by oxygen indicating that triplets of saccharin and N-methylsaccharin are the reactive excited states. Based on the consideration of the redox potentials of saccharin and N-trimethylsilylmethyl-N,N-diethyl amine, and the nature of photoproducts, pathways involving initial triplet state single electron transfer are proposed for photoreactions of the saccharins with the ${\alpha}$-silylamine.

Embedding in Fibonacci Circulants (피보나치 원형군에서의 임베딩)

  • 유명기;김용석
    • Proceedings of the IEEK Conference
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    • 2002.06c
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    • pp.169-172
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    • 2002
  • In this paper, we consider the problem of embedding Fibonacci linear array, Fibonacci mesh, Fibonacci tree into Fibonacci circulants and between Fibonacci cubes and Fibonacci circulants. We show that the Fibonacci linear array of order n , Ln is a subgraph of the Fibonacci circulants of order n , En with En◎ Ln,n≥0 , the Fibonacci mesh of order (nt,n2), M(n,.nT)with S2n.1 f( M(n.れ)닌 M(n.1.n.1)), 52れ 늰( M(n.n.1)띤 M(H.n-1)) and the Fibonacci tree-lof order n, FT/sub n/ with ∑/sub n+3/⊇ FTn , n≥0, the Fibonacci tree-ll of order n , Tれ with ∑/sub n/⊇ Tn Fu퍼hermore, 낀e show that the Fibonacci cubes of order n , rn is subgraph of the Fibonacci circulants of order n , En and inversely rn can be embedded into En with expansion 1, dilation n -2 and congestion.

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Embedding Algorithms Hypercube, HCN, and HFN into HFCube Interconnection Networks (상호연결망 HFCube와 하이퍼큐브, HCN, HFN 사이의 임베딩 알고리즘)

  • Kim, Jong-Seok;Lee, Hyeong-Ok
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.18 no.6
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    • pp.1361-1368
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    • 2014
  • In this paper, we analyze emddings among HFCube(n,n), HCN(n,n), HFN(n,n) with lower network cost than that of Hypercube. The results are as follows. We propose that $Q_{2n}$ can be embedded into HFCube(n,n) with dilation 5, congestion 2. HCN(n,n) and HFN(n,n) are subgraphs of HFCube(n,n). HFCube(n,n) can be embedded into HFN(n,n) with dilation 3. HFCube(n,n) can be embedded into HCN(n,n) with dilation O(n). The results will be helpful to analyze several efficient properties in each interconnection network.

Poecilostome Copepods (Crustacea: Cyclopoida) Associated with Marine Invertebrates from Tropical Waters

  • Kim, Il-Hoi
    • Animal Systematics, Evolution and Diversity
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    • no.nspc7
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    • pp.1-90
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    • 2009
  • Twenty-two new species of poecilostome copepods associated with marine invertebrates are described from the West Indies, Madagascar, and Pacific coast of Panama. They are Anthessius nosybensis n. sp. and Discanthessius solitarius n. gen. n. sp. in the Anthessiidae; Cemihyclops tenuis n. sp., Hemicyclops tripartitus n. sp., H. humesi n. sp., H. magnus n. sp., and Leptinogaster minuta n. sp. in the Clausidiidae; Schedomolgus crenulatus n. sp. and S. parvipediger n. sp. in the Anchimolgidae; Kelleria multiovigera n. sp. in the Kelleridae; Lichomolgus angustus n. sp. and L. fusiformis n. sp. in the Lichomolgidae; Pseudanthessius acutus n. sp., P. asper n. sp., and Tubiporicola pediger n. gen. n. sp. in the Pseudanthessiidae; Acanthomolgus tenuispinatus n. sp. and Notoxynus lokobensis n. sp. in the Rhynchomolgidae; Eupolymniphilus occidentalis n. sp. and E. brevicaudatus n. sp. in the Sabellephilidae; Enalcyonium robustum n. sp. and E. grandisetigerum n. sp. in the Lamippidae; and O. binoviger n. sp. in the Myicolidae. Hemicyclops geminus Stock is synonymized with H. columnaris Humes which is now known as a species of amphi-American distribution. Hemicyclops columnaris Humes, Modiolicola trabalis Humes, and Ostrincola breviseti Ho and Kim are redescribed.

WEAK AND STRONG CONVERGENCE TO COMMON FIXED POINTS OF NON-SELF NONEXPANSIVE MAPPINGS

  • Su, Yongfu;Qin, Xiaolong
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.437-448
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    • 2007
  • Suppose K is a nonempty closed convex nonexpansive retract of a real uniformly convex Banach space E with P as a nonexpansive retraction. Let $T_1,\;T_2\;and\;T_3\;:\;K{\rightarrow}E$ be nonexpansive mappings with nonempty common fixed points set. Let $\{\alpha_n\},\;\{\beta_n\},\;\{\gamma_n\},\;\{\alpha'_n\},\;\{\beta'_n\},\;\{\gamma'_n\},\;\{\alpha'_n\},\;\{\beta'_n\}\;and\;\{\gamma'_n\}$ be real sequences in [0, 1] such that ${\alpha}_n+{\beta}_n+{\gamma}_n={\alpha}'_n+{\beta'_n+\gamma}'_n={\alpha}'_n+{\beta}'_n+{\gamma}'_n=1$, starting from arbitrary $x_1{\in}K$, define the sequence $\{x_n\}$ by $$\{zn=P({\alpha}'_nT_1x_n+{\beta}'_nx_n+{\gamma}'_nw_n)\;yn=P({\alpha}'_nT_2z_n+{\beta}'_nx_n+{\gamma}'_nv_n)\;x_{n+1}=P({\alpha}_nT_3y_n+{\beta}_nx_n+{\gamma}_nu_n)$$ with the restrictions $\sum^\infty_{n=1}{\gamma}_n<\infty,\;\sum^\infty_{n=1}{\gamma}'_n<\infty,\; \sum^\infty_{n=1}{\gamma}'_n<\infty$. (i) If the dual $E^*$ of E has the Kadec-Klee property, then weak convergence of a $\{x_n\}$ to some $x^*{\in}F(T_1){\cap}{F}(T_2){\cap}(T_3)$ is proved; (ii) If $T_1,\;T_2\;and\;T_3$ satisfy condition(A'), then strong convergence of $\{x_n\}$ to some $x^*{\in}F(T_1){\cap}{F}(T_2){\cap}(T_3)$ is obtained.

Numerical Study of Enhanced Performance in InGaN Light-Emitting Diodes with Graded-composition AlGaInN Barriers

  • Kim, Su Jin;Kim, Tae Geun
    • Journal of the Optical Society of Korea
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    • v.17 no.1
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    • pp.16-21
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    • 2013
  • In this paper, we report the effect of GaN/graded-composition AlGaInN/GaN quantum barriers in active regions on the electrical and optical properties of GaN-based vertical light emitting diodes (VLEDs). By modifying the aluminum composition profile within the AlGaInN quantum barrier, we have achieved improvements in the output power and the internal quantum efficiency (IQE) as compared to VLEDs using conventional GaN barriers. The forward voltages at 350 mA were calculated to be 3.5 and 4.0 V for VLEDs with GaN/graded-composition AlGaInN/GaN barriers and GaN barriers, respectively. The light-output power and IQE of VLEDs with GaN/graded-composition AlGaInN/GaN barriers were also increased by 4.3% and 9.51%, respectively, as compared to those with GaN barriers.

Effect of Methyl Ethyl Ketone and Ethyl Acetate Vapor on Photocatalytic Decomposition of n-Pentane Vapor (n-Pentane 증기의 광촉매 분해 시 Methyl Ethyl Ketone 증기와 Ethyl Acetate 증기의 영향)

  • Kam, Sang-Kyu;Jeon, Jin-Woo;Lee, Min-Gyu
    • Journal of Environmental Science International
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    • v.23 no.6
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    • pp.1151-1156
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    • 2014
  • The photocatalytic decomposition characteristics of single n-pentane, n-pentane mixed with methyl ethyl ketone (MEK), and n-pentane mixed with ethyl acetate (EA) by cylindrical UV reactor installed with $TiO_2$-coated perforated plane were studied. The effects of the residence time, the inlet gas concentration, and the oxygen concentration were investigated. The removal efficiency of n-pentane was increased with increasing the residence time and the oxygen concentration, but decreased with increasing the inlet concentration of n-pentane. The photocatalytic decomposition rates of single n-pentane, n-pentane mixed with MEK, and n-pentane mixed with EA fitted well on Langmuir-Hinshelwood kinetics equation. The maximum elimination capacities of single n-pentane, n-pentane mixed with MEK, and n-pentane mixed with EA were obtained to be $465g/m^3{\cdot}day$, $217g/m^3{\cdot}day$, and $320g/m^3{\cdot}day$, respectively. The presence of coexisting MEK and EA vapor had a negative effect on the photocatalytic decomposition of n-pentane and the negative effect of MEK was higher than that of EA.

ON REGULAR NEAR-RINGS WITH (m,n)-POTENT CONDITIONS

  • Cho, Yong-Uk
    • East Asian mathematical journal
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    • v.25 no.4
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    • pp.441-447
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    • 2009
  • Jat and Choudhari defined a near-ring R with left bipotent or right bipotent condition in 1979. Also, we can dene a near-ring R as subcommutative if aR = Ra for all a in R. From these above two concepts it is natural to investigate the near-ring R with the properties aR = $Ra^2$ (resp. $a^2R$ = Ra) for each a in R. We will say that such is a near-ring with (1,2)-potent condition (resp. a near-ring with (2,1)-potent condition). Thus, we can extend a general concept of a near-ring R with (m,n)-potent condition, that is, $a^mR\;=\;Ra^n$ for each a in R, where m, n are positive integers. We will derive properties of near-ring with (1,n) and (n,1)-potent conditions where n is a positive integer, any homomorphic image of (m,n)-potent near-ring is also (m,n)-potent, and we will obtain some characterization of regular near-rings with (m,n)-potent conditions.

Totally umbilic lorentzian surfaces embedded in $L^n$

  • Hong, Seong-Kowan
    • Bulletin of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.9-17
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    • 1997
  • Define $\bar{g}{\upsilon, \omega) = -\upsilon_1\omega_1 + \cdots + \upsilon_n\omega_n$ for $\upsilon, \omega in R^n$. $R^n$ together with this metric is called the Lorentzian n-space, denoted by $L^n$, and $R^n$ together with the Euclidean metric is called the Euclidean n-space, denoted by $E^n$. A Lorentzian surface in $L^n$ means an orientable connected 2-dimensional Lorentzian submanifold of $L^n$ equipped with the induced Lorentzian metrix g from $\bar{g}$.

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COLORED PERMUTATIONS WITH NO MONOCHROMATIC CYCLES

  • Kim, Dongsu;Kim, Jang Soo;Seo, Seunghyun
    • Journal of the Korean Mathematical Society
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    • v.54 no.4
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    • pp.1149-1161
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    • 2017
  • An ($n_1,\;n_2,\;{\ldots},\;n_k$)-colored permutation is a permutation of $n_1+n_2+{\cdots}+n_k$ in which $1,\;2,\;{\ldots},\;n_1$ have color 1, and $n_1+1,\;n_1+2,\;{\ldots},\;n_1+n_2$ have color 2, and so on. We give a bijective proof of Steinhardt's result: the number of colored permutations with no monochromatic cycles is equal to the number of permutations with no fixed points after reordering the first $n_1$ elements, the next $n_2$ element, and so on, in ascending order. We then find the generating function for colored permutations with no monochromatic cycles. As an application we give a new proof of the well known generating function for colored permutations with no fixed colors, also known as multi-derangements.