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Substituent Effects on the Leaving Groups in Benzyl Arenesulfonates (Benzyl Arenesulfonate의 離脫基의 置換基效果에 關한 硏究 (第 1 報))

  • Yoh Soo Dong
    • Journal of the Korean Chemical Society
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    • v.19 no.2
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    • pp.116-122
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    • 1975
  • Determination has been made of the kinetics of the reaction of benzyl arenesulfonates with pyridine in acetone. The substituent effects of the leaving groups in benzyl arenesulfonates are correlated by Hammett equations, with the exception of p-MeO and $p-NO_2$ groups, where the electron attracting substituents in the benzyl arenesulfonate increase the rate. The substituent effects of the leaving groups are as expected due to the nucleophilic attack of amine on the benzyl carbon atom. This can be understood in terms of changes in bond formation (C-N) and bond breaking (C-O) in the transition state with charges in electron-attracting ability of the substituents. The predicted substituent effects may indicate a small increase in bond formation and thus a tighter transition state, in benzyl p-bromobenzene sulfonate than in benzyl p-nitrobenzenesulfonate. Predicting made by Thornton concerning the substituent effects on $S_N2$ transition state structures agrees with the changes in bond formation and bond breaking.

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The Study on the Influence of the Concentration NaCl Solution on Corrosion Fatigue Behavior of T.M.C.P. Steel (T.M.C.P. 강의 부식피로거동에 미치는 염분의 영향에 관한 연구)

  • 이상호;한정섭
    • Journal of Ocean Engineering and Technology
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    • v.7 no.2
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    • pp.131-140
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    • 1993
  • To study the corrosion fatigue begavior of T.M.C.P. steel, the rotary bending fatigue test with the change of concentration of NaCl solution was carried out. Fatigue life in the corrosion environment is decreased markedly in comparision with that in the air. Fatigue limit in the air was about 225 MPa. In case of 3.5% NaCl solution fatigue life could be expressed as .sigma./sub f/=10,392 * (N/sub f/)/sup -o.2923 . According to the paris's rule, crack growth rates could be expressed as da/dN=2.62.*10/sup -7/ .DELTA. K/sup 1.09/(3.5% NaCl solution), da/dN=1.95 *10/sup -7 .DELTA. K/sup 1.05/(1% NaCl solution), da/dN=2.62 * 10/sup -7/.DELTA./sup 0.72/(0.01% NaCl solution) with da/dN expressed in mm/cycle and .DELTA.K in MPa.GAMMA.m. The crack growth rate in the corrosion environment was highest under 3.5% NaCl solution.

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A Class of Bilateral Generating Functions for the Jacobi Polynomial

  • SRIVASTAVA, H M.
    • Journal of the Korean Mathematical Society
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    • v.8 no.1
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    • pp.25-30
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    • 1971
  • Put ($$^*$$) $$G[x,y]={\sum}\limits^{p+q=n}_{p,q=0}[-n]_{p+q}c_{p,q}x^py^q$$, where $[{\lambda}]_m$ is the Pocbhammer symbol and the $c_{p,q}$ are arbitrary constants. Making use of the specialized forms of some of his earlier results (see [8] and [9] the author derives here bilateral generating functions of the type ($$^{**}$$) $${\sum}\limits^{\infty}_{n=0}{\frac{[\lambda]_n}{n!}}_2F_1[\array{{\rho}-n,\;{\alpha};\\{\lambda}+{\rho};}x]\;G[y,z]t^n$$ where ${\alpha}$, ${\rho}$ and ${\lambda}$ are arbitrary complex numbers. In particular, it is shown that when G[y, z] is a double hypergeometric polynomial, the right-band member of ($^{**}$) belongs to a class of general triple hypergeometric functions introduced by the author [7]. An interesting special case of ($^{**}$) when ${\rho}=-m,\;m$ being a nonnegative integer, yields a class of bilateral generating functions for the Jacobi polynomials $\{P_n{^{{\alpha},{\beta}}}(x)\}$ in the form ($$^{***}$$) $${\sum\limits^{\infty}_{n=0}}\(\array{m+n\\n}\)P{^{({\alpha}-n,{\beta}-n)}_{m+n}(x)\;G[y,z]{\frac{t^n}{n!}}$$, which provides a unification of several known results. Further extensions of ($^{**}$) and ($^{***}$) with G[y, z] replaced by an analogous multiple sum $H\[y_1,{\cdots},y_m\]$ are also discussed.

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A Study of Optimization a-Si:H(p) for n-type c-Si Heterojunction Solar Cell (N-Type c-Si 이종접합 태양전지 제작을 위한 a-Si:H(p) 가변 최적화)

  • Heo, Jong-Kyu;Yoon, Ki-Chan;Choi, Hyung-Wook;Lee, Young-Suk;Dao, Vinh Ai;Kim, Young-Kuk;Yi, Jun-Sin
    • 한국신재생에너지학회:학술대회논문집
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    • 2009.06a
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    • pp.77-79
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    • 2009
  • Amorphous/crystalline silicon heterojunction solar cells, TCO/a-Si:H (p)/c-Si(n)/a-Si:H(n)/Al, are investigated. The influence of various parameters for the front structures was studied. We used thin (10 nm) a-Si:H(p) layers of amorphous hydrogenated silicon are deposited on top of a thick ($500{\mu}m$) crystalline c-Si wafer. This work deals with the influence of the a-Si:H(p) doping concentration on the solar cell performance is studied.

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Wax Barrier Effect on Migration Behaviors of Antiozonants in NR Vulcanizates (천연고무 가류물에서 왁스막이 오존노화방지제의 이동에 미치는 영향)

  • Choi, Sung-Seen
    • Elastomers and Composites
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    • v.34 no.2
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    • pp.147-155
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    • 1999
  • Waxes compounded into rubber migrate to the surface and form a protection film on the rubber surface. In general, antiozonants were used with wax to protect ozonation of rubber. Influence of wax barrier formed on the surface of a rubber vulcanizate on migration of antiozonants was studied using natural rubber (NR) vulcanizates containing various type waxes. IPPD (N-isopropyl-N'-phenyl-p-phenylenediamine), HPPD (N-l,3-dimethylbutyl-N'-phenyl-p-phenylenediamine), SBPPD (N,N'-di(sec-butyl)-p-phenylenediamine), and DMPPD (N,N'-di(1,4-dimethylpentyl)-p-phenylenediamine) were employed as antiozonants. Migration experiments were performed at constant temperatures of 60 and $80^{\circ}C$ for 10, 20, 30 days using a convection oven. The migration rates of the antiozonants in the vulcanizate without wax are faster than those in the vulcanizates containing waxes. The antiozonants migrate slower in the vulcanizate containing wax with a high molecular weight distribution than in the vulcanizate with a low one. The migration rates of DMPPD and SBPPD are faster than those of HPPD and IPPD.

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THE SPHERICAL NON-COMMUTATIVE TORI

  • Boo, Deok-Hoon;Oh, Sei-Qwon;Park, Chun-Gil
    • Journal of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.331-340
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    • 1998
  • We define the spherical non-commutative torus $L_{\omega}$/ as the crossed product obtained by an iteration of l crossed products by actions of, the first action on C( $S^{2n+l}$). Assume the fibres are isomorphic to the tensor product of a completely irrational non-commutative torus $A_{p}$ with a matrix algebra $M_{m}$ ( ) (m > 1). We prove that $L_{\omega}$/ $M_{p}$ (C) is not isomorphic to C(Prim( $L_{\omega}$/)) $A_{p}$ $M_{mp}$ (C), and that the tensor product of $L_{\omega}$/ with a UHF-algebra $M_{p{\infty}}$ of type $p^{\infty}$ is isomorphic to C(Prim( $L_{\omega}$/)) $A_{p}$ $M_{m}$ (C) $M_{p{\infty}}$ if and only if the set of prime factors of m is a subset of the set of prime factors of p. Furthermore, it is shown that the tensor product of $L_{\omega}$/, with the C*-algebra K(H) of compact operators on a separable Hilbert space H is not isomorphic to C(Prim( $L_{\omega}$/)) $A_{p}$ $M_{m}$ (C) K(H) if Prim( $L_{\omega}$/) is homeomorphic to $L^{k}$ (n)$\times$ $T^{l'}$ for k and l' non-negative integers (k > 1), where $L^{k}$ (n) is the lens space.$T^{l'}$ for k and l' non-negative integers (k > 1), where $L^{k}$ (n) is the lens space.e.

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Chemical Characteristics of Precipitation in Pusan I. Temporal and spatial variation of pH and major ions (부산지역 강우의 화학적 특성 I. pH 및 주요이온의 시ㆍ공간적 변화)

  • Jeon, Eun-Ju;Yang, Han-Sub;Ok, Gon;Kim, Young-Sub
    • Journal of Environmental Science International
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    • v.7 no.5
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    • pp.707-716
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    • 1998
  • The chemical characteristics of precipitation was investigated in Pusan area. Samples were collected from January to November in 1996 at 4 sites, and analyzed pH, major soluble ionic components(C $l^{[-10]}$ , N $O_3$$^{[-10]}$ , S $O_4$$^{2-}$, N $a^{+}$, $K^{+}$, N $H_4$$^{+}$, $Mg^{2+}$, $Ca^{2+}$). The order of anion and cation concentrations for the initial precipitation were C $l^{[-10]}$ > S $O_4$$^{2-}$ > N $O_3$$^{[-10]}$ , and $Ca^{2+}$ > N $a^{+}$ > N $H_4$$^{+}$$Mg^{2+}$$K^{+}$, respectively. At coastal sites(P1 and P2) C $l^{[-10]}$ and N $a^{+}$ of maritime sources (seasalt) were high, but at inland sites(P3 and P4) nss-C $a^{2+}$ and nss-S $O_4$$^{2-}$ were high. Calcium ion for the initial precipitation showed high value of enrichement factor(EF) relative to seawater composition. The contribution of seasalt to the composition of precipitation was higher at bite P1 (53.5%) than those of the other sites. Throughout the year the concentrations of major ions for the initial precipitation were low in the heavy rain season. The mean pH for the initial precipitation was 5.4 and showed the negative relationship with the precipitaion amount. The S $O_4$$^{2-}$ and N $O_3$$^{[-10]}$ do not play an important role in rain acidification due to the high(97%) neutralizing effect of amonia and calcium species.and calcium species.

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APPROXIMATION OF COMMON FIXED POINTS OF NON-SELF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

  • Kim, Jong-Kyu;Dashputre, Samir;Diwan, S.D.
    • East Asian mathematical journal
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    • v.25 no.2
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    • pp.179-196
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    • 2009
  • Let E be a uniformly convex Banach space and K a nonempty closed convex subset which is also a nonexpansive retract of E. For i = 1, 2, 3, let $T_i:K{\rightarrow}E$ be an asymptotically nonexpansive mappings with sequence ${\{k_n^{(i)}\}\subset[1,{\infty})$ such that $\sum_{n-1}^{\infty}(k_n^{(i)}-1)$ < ${\infty},\;k_{n}^{(i)}{\rightarrow}1$, as $n{\rightarrow}\infty$ and F(T)=$\bigcap_{i=3}^3F(T_i){\neq}{\phi}$ (the set of all common xed points of $T_i$, i = 1, 2, 3). Let {$a_n$},{$b_n$} and {$c_n$} are three real sequences in [0, 1] such that $\in{\leq}\;a_n,\;b_n,\;c_n\;{\leq}\;1-\in$ for $n{\in}N$ and some ${\in}{\geq}0$. Starting with arbitrary $x_1{\in}K$, define sequence {$x_n$} by setting {$$x_{n+1}=P((1-a_n)x_n+a_nT_1(PT_1)^{n-1}y_n)$$ $$y_n=P((1-b_n)x_n+a_nT_2(PT_2)^{n-1}z_n)$$ $$z_n=P((1-c_n)x_n+c_nT_3(PT_3)^{n-1}x_n)$$. Assume that one of the following conditions holds: (1) E satises the Opial property, (2) E has Frechet dierentiable norm, (3) $E^*$ has Kedec -Klee property, where $E^*$ is dual of E. Then sequence {$x_n$} converges weakly to some p${\in}$F(T).

Response Surface Analysis of Dietary n-3/n-6 and P/S Ratio on Reduction of Plasma Lipids in Rats (흰쥐현장지질 감소에 관한 n-3/n-6 와 P/S 섭취비율의 반응표면분석)

  • Park, Byung-Sung
    • Journal of the Korean Applied Science and Technology
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    • v.21 no.2
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    • pp.148-155
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    • 2004
  • Response surface analysis was used to study dietary ratios of n-3/n-6 fatty acid and P/S to minimize plasma triglycerides, total cholesterol and LDL ${\cdot}$ VLDL-C levels and maximize plasma HDL ${\cdot}$ C levels of rats. Because the dietary components were not statistically independent, they were studied in combinations of two variables. The two-variable combinations were the most useful in locating the desired maximum or minimum plasma triglycerides, total cholesterol and LDL ${\cdot}$ VLDL-C response in terms of the proportions of the dietary components. Response surface contours and three dimensional plots were developed for each plasma lipid response. The contours and three dimensional plots were used to help determine those combinations of the dietary fatty acid ratios that would produce the desired minimum or maximum lpid responses. The statistical analyses indicated that the minimized plasma cholesterol response levels could be attained with a diet consisting of 2.26 n-3/n-6 fatty acid and 2.15 P/S ratios.

Determination and Isolation of Antioxidative Serotonin Derivatives, N-(p-Coumaroyl)serotonin and N-feruoylserotonin from Safflower Seeds (홍화종자에서 항산화성 Serotonin계 화합물, N-(p-Coumaroyl)serotonin과 N-feruoylserotonin의 분리 및 정량분석)

  • Lee, Kang-Soo;Kim, Yun-Hee;Chung, Nam-Jin
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.53 no.2
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    • pp.171-178
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    • 2008
  • In the methanol extract from safflower seeds, two kinds of antioxidant were detected by preparative HPLC [$\mu$-Bondapak $C_{18}$ column ($7.8{\times}300\;mm$)]. Two unknown compounds were defined as CA and CB which had peaks at 22.1 min and 24.5 min, respectively. Antioxidant activity was measured by their scavenging ability on the stable tree radical of 1,1-diphenly-2-picrylhydrazyl (DPPH). For bulk extraction of antioxidants, the methanol extract was fractionated with hexan, chloroform, ethyl acetate and butanol. The ethyl acetate traction showing the highest DPPH radical scavenging activity was further purified by silica gel column chromatography to CA and CB. By NMR analysis, CA and CB were identified as N-(p-Coumaroyl)serotonin and N-feruoylserotonin, respectively. The content of N-(p-Coumaroyl)serotonin and N-feruoylserotonin were analyzed by reverse phase HPLC using a $\mu$-Bondapak $C_{18}$ column ($3.9{\times}300\;mm$) with linear gradient elution from 10% acetonitrile to 50% acetonitrile for 30min on UV detector at 300 nm. The contents of N-(p-Coumaroyl)serotonin and N-feruoylserotonin were 4.11 mg/g DW and 7.29 mg/g DW, respectively, and these two DPPH radical scavengers were detected only in the hull of seeds.