• 농약과학회지
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• 제17권2호
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• pp.140-143
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• 2013

톱다리개미허리노린재의 페로몬 성분인 (E)-2-hexenyl (E)-2-hexenoate (1) 과 (E)-2-hexenyl (Z)-3-hexenoate (2)의 합성에 있어 Steglich 에스테르화 반응의 최적 조건을 검토하였다. (E)-2-헥센산 또는 (Z)-3-헥센산에 대하여 1-1.5 당량의 디사이클로카보다이이미드 (DCC), 1.5-2.0 당량의 (E)-2-헥센놀과 0.1 당량의 4-디메틸아미노피리딘(DMAP)과 반응하였을 때, 각각 76-78% 와 87-91%의 수율로 1과 2를 얻었다.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제30권3호
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• pp.337-345
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• 2023

Different versions of the boundary Schwarz lemma for the 𝒩 (𝜌) class are discussed in this study. Also, for the function g(z) = z+b₂z²+b₃z³+... defined in the unit disc D such that g ∈ 𝒩 (𝜌), we estimate a modulus of the angular derivative of g(z) function at the boundary point 1 ∈ 𝜕D with g'(1) = 1 + 𝜎 (1 - 𝜌), where ${\rho}={\frac{1}{n}}{\sum\limits_{i=1}^{n}}g(c_i)={\frac{g^{\prime}(c_1)+g^{\prime}(c_2)+{\ldots}+g^{\prime}(c_n)}{n}}{\in}g^{\prime}(D)$ and 𝜌≠1, 𝜎 > 1 and c₁, c₂, ..., c_n ∈ 𝜕D. That is, we shall give an estimate below |g"(1)| according to the first nonzero Taylor coefficient of about two zeros, namely z = 0 and z ≠ 0. Estimating is made by using the arithmetic average of n different derivatives g'(c₁), g'(c₂), ..., g'(c_n).

• Applied Biological Chemistry
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• 제29권2호
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• pp.182-189
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• 1986

제초제 Alachlor가 밭토양 조건하에서 80일간 배양될 때 다음과 같은 4개의 주요분해 산물을 생성하였다. 즉 8-ethyl-2-hydroxy-N-(methoxymethyl)-1,2,3,4-tetrahydroguinoline (m/z 221). N-hydroxyacetyl-2,3-dihydro-7-ethylindole (m/z 205), 2-Hydroxy-2', 6',-diethyl-N-(methoxymethyl) acetanilide (m/z 251) 그리고. 9-ethyl-1,5-dihydro-1-(methoxymethyl)-5-methyl-4,1-beznoxazepin-2(3H)-one (m/z 249)이었다. 이들 분해산물은 제 1보에서 사용한 담수 논 토양조건하에서 얻었던 분해산물들과 약간 다르다는 것을 알게 되었다. 그리고 Alachlor의 가능한 분해 경로를 제시하였다.

• Archives of Pharmacal Research
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• 제10권1호
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• pp.50-59
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• 1987

(E)-2-Phenylcyclopropylamine ((E)-TCP), (Z)-2-Phenylacyclopropylamine ((Z)-TCP), (E)-1-methyl-2-phenylcyclopropylamine ((E)-MTCP), and (Z)-1-methyl-2-phenylcyclopropylamine ((Z)-MTCP) were synthesized and used to determine to what extent 1-methylsubstitution and stereochemistry of 2-phenycyclopropylamines affect inhibition of monoamine oxidase (MAO). Inhibition of rat brain mitochondrial MAO-A and B by the compounds were measured using serotonin and benzylamine as the substrate, respectively and $IC_{50}$ values obtianed with 95% confidence limits by the method of computation. For the inhibition of MAO-A, (E)-MTPC ($IC_{50}$ = 6.2 * $10^{-8}$M) was found to be 37 times more potent than (Z)-MTCP ($IC_{50}$ = 7.8 * $10^{-8}$M), was 7 times more potent than (Z)-MTCP($IC_{50}$= 4.7 * $10^{-7}$M) and (E)-TCP($IC_{50}$ =7.8 * $10^{-8}$M),0.6 times as potent as (Z)- TCP ($IC_{50}$ = 4.4 * $10^{-8}$M). The results suggested that while without 1-methyl group, potency of a (Z)-isomer was comparable to that of (E)-isomer, the methyl group in its (Z)-position was very unfavorable to the inhibition of MAO and that in its (E)-position, the methyl group contributed positively to the potency as found by the fact that (E)-MTCP was 1-5 times more potent than (E)-TCP. In view of the selective inhibition of MAO-A- or B over MAO-A and 1-methyl substitution as well as the stereochemical factors did not significantly influence the selectivity.

• 대한수학회보
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• 제56권1호
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• pp.45-56
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• 2019

The aim of this paper is to investigate the problems of meromorphic functions sharing values concerning periodicities and shifts. In this paper we prove the following result: Let f(z) and g(z) be two nonconstant entire functions, let $c{\in}{\mathbb{C}}{\setminus}\{0\}$, and let $a_1$, $a_2$ be two distinct finite complex numbers. Suppose that ${\mu}(f){\neq}1$, ${\rho}_2(f)<1$, and f(z) = f(z+c) for all $z{\in}{\mathbb{C}}$. If f(z) and g(z) share $a_1$ CM, $a_2$ IM, then $f(z){\equiv}g(z)$. Moreover, examples are given to show that all the conditions are necessary.

• 대한수학회보
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• 제57권2호
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• pp.521-533
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• 2020

In this paper, we compute the Bergman kernel for Ω_p,q,r = {(z, z', w) ∈ ℂ² × Δ : |z|^2p < (1 - |z'|^2q)(1 - |w|²)^r}, where p, q, r > 0 in terms of multivariable hypergeometric series. As a consequence, we obtain the behavior of K_Ωp,q,r (z, 0, 0; z, 0, 0) when (z, 0, 0) approaches to the boundary of Ω_p,q,r.

• 대한수학회보
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• 제24권1호
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• pp.13-17
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• 1987

Let S denote the class of nivalent functions normalized so that f(0)=f'(0)-1=0 in vertical bar z vertical bar <1. Let $S_{\alpha}$$^{*}$, -.pi./2<.alpha.<.pi./2, denote the subclass of S that satisfies Re $e^{i{\alpha}}$zf'(z)/f(z).geq.0 in vertical bar z vertical bar <1; then f is called .alpha.-spiral-like and the case .alpha.=0 is the class of normalized starlike functions [6, pp.52]. Let T denote the class of functions f normalized as above and satisfying Im z[Im f(z)]..geq.0 in vertical bar z vertical bar <1; then f is called typically real and T contains those functions of S whose coefficients are real [6, pp.55]. Also, in view of [6, pp.231], let B(.lambda.) be the class of function normalized as above and map vertical bar z vertical bar <1 onto the complement of an arc with radial angle .lambda.(0<.lambda.<.pi./2). The radial angle is meant to be the angle between the tangent and radial vectors to the arc. This note includes a sharp version for Corollary 1 of [2] when f.mem. $S_{\alpha}$$^{*}$ as well as a logarithmic coefficient estimate.nt estimate.

• 호남수학학술지
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• 제44권4호
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• pp.521-534
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• 2022

In this paper, we introduce a new class 𝓡^k_λ(λ ≥ 1, k is any positive real number) of univalent complex functions, which consists of functions f of the form f(z) = z + Σ^∞_n=2 a_nzⁿ (|z| < 1) satisfying the subordination condition $$(1-{\lambda}){\frac{f(z)}{z}}+{\lambda}f^{\prime}(z){\prec}{\frac{1+r^2_kz^2}{1-k{\tau}_kz-{\tau}^2_kz^2}},\;{\tau}_k={\frac{k-{\sqrt{k^2+4}}}{2}$$, and investigate the Fekete-Szegö problem for the coefficients of f ∈ 𝓡^k_λ which are connected with k-Fibonacci numbers $F_{k,n}={\frac{(k-{\tau}_k)^n-{\tau}^n_k}{\sqrt{k^2+4}}}$ (n ∈ ℕ ∪ {0}). We obtain sharp upper bound for the Fekete-Szegö functional |a₃-𝜇a²₂| when 𝜇 ∈ ℝ. We also generalize our result for 𝜇 ∈ ℂ.

• 한국물환경학회지
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• 제28권5호
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• pp.723-728
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• 2012

In this study, zeolites were synthesized by a fusion and a hydrothermal methods using a coal fly ash and a waste catalyst. The recovery performance of metal ions on the structure property of synthetic zeolites was evaluated as comparing the adsorption kinetics (Lagergen 2nd order model) and isotherm (Langmuir model) of $Co^{2+},\;Ni^{2+}$, and $Cu^{2+}$ ions. The synthetic zeolites (Z-C1 and Z-W5) were similarly assigned to XRD peaks in a reagent grade Na-A zeolite (Z-WK : $Na_{12}Al_{12}Si_{12}O_{48}\;27.4H_2O$). Adsorption rates of Z-W5 and Z-C1 were in the order of $Cu^{2+}\;>\;Co^{2+}\;>\;Ni^{2+}\;and\;Ni^{2+}\;>\;Cu^{2+}\;>\;Co^{2+}$, respectively. They had influenced upon structure properties of zeolite. Selectivities of metal ions and maximum equilibrium adsorption capacities, $q_{max}$, in Z-C1 and Z-W5 were in the order of $Ni^{2+}$ (127.9 mg/g) > $Cu^{2+}$ (94.7 mg/g) > $Co^{2+}$ (82.6 mg/g) and $Cu^{2+}$ (141.3 mg/g) > $Co^{2+}$ (122.2 mg/g) > $Ni^{2+}$ (87.6 mg/g), respectively. The results show that the synthetic zeolites, Z-C1 and Z-W5, are able to recover metal ions selectively in wastewater.

• 한국식품과학회지
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• 제31권2호
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• pp.322-328
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• 1999

동시증류추출장치를 사용하여 획득한 수박(Citrullus vulgaris S.)과 참외(Cucumis melo L.)의 휘발성 향기성분을 기체크로마토그래피로 분리하여 질량분석법으로 동정하였다. 수박에서 분리동정된 37종의 화합물로는 16종의 alcohol 류, 15종의 aldehyde 류, 2종의 ester류, 2종의 ketone 류와 기타 2종의 화합물이 확인되었다. 전체 상대적 농도의 68.66%를 차지한 alcohol 류가 수박의 주요 향기성분이었으며, 불포화 $C_{9}$ 화합물인 (Z)-3-nonen-1-ol, (Z,Z)-nonadien-1-ol, (E,Z)-2,6-nonadienal, (E)-2-nonenal이 특징적 향기성분으로 나타났다. 참외에서 분리동정된 55종의 화합물로는 26종의 ester 류, 16종의 alcohol 류, 10종의 aldehyde 류와 기타 3종의 화합물이 확인되었으며, 전체 상대적 농도의 63.8%를 차지한 ester류가 참외의 주요 향기 성분으로 나타났다. 이 중에서 (Z)-3-nonenyl acetate, (Z)-6-nonenyl acetate와 (Z,Z)-3,6-nonadienyl acetate, $C_{9}$-불포화 ester 류가 중요한 향기성분이었으며, 황함유 ester 류인 ethyl (methylthio)acetate, ethyl 3-(methylthio) propanoate 또한 참외의 향기에 중요한 역할을 하는 화합물이었다.