• Title/Summary/Keyword: (A, $\eta$

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A STUDY OF RAMANUJAN τ(n) NUMBER AND DEDEKIND ETA-FUNCTION

  • KIM, DAEYEOUL;PARK, JOONGSOO
    • Honam Mathematical Journal
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    • v.20 no.1
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    • pp.57-65
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    • 1998
  • In this paper, we consider properties of Dedekind eta-function, modular discrimiant, thata-series and Weierstrass ${\wp}$-function. We prove the integrablities of ${\Delta}({\tau})$ and ${\eta}({\tau})$. Also, we give explicit formulae about ${\Delta}({\tau})$ and ${\tau}(n)$.

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Treatment of ETA wastewater using GAC as particle electrodes in three-dimensional electrode reactor (활성탄 충진 3D 복극전기분해조를 이용한 ETA 처리)

  • Kim, Ran;Kim, Yu-Jin;Shin, Ja-Won;Kim, Jeong-Joo;Park, Joo-Yang
    • Journal of Korean Society of Water and Wastewater
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    • v.27 no.2
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    • pp.241-249
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    • 2013
  • Ethanolamine (ETA) is widely used for alkalinization of water in steam cycles of nuclear power plants with pressurized water reactor. When ETA contained wastewater was released, it could increase COD and T-N. The treatment of the COD and T-N from ETA wastewater was investigated using the GAC as particle electrodes in three-dimensional electrode reactor (TDE). This study evaluated the effectiveness of GAC as particle electrode using different packing ratio at 300 V. The results showed that GAC-TDE could reduce ETA much more efficiently than ZVI-TDE at the mass ratio of GAC to insulator, 1:2. Additionally, The effect of applied electric potential to COD and T-N reduction was investigated. The results showed the high COD, T-N reduction and current efficiency at the low electric potential. Using the GAC-TDE will provide a better ETA reduction with reducing electrical potential dissipation.

Impact of Conflict and Nurturing Factors for the Divorced Parents on the Behavioral Adaptation of their Children (이혼가정자녀의 행동적응문제에 영향을 미치는 부모요인과 아동의 이혼지각 분석)

  • Joo, So-Hee;Cho, Sung-Woo
    • Korean Journal of Social Welfare
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    • v.56 no.4
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    • pp.215-238
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    • 2004
  • The purpose of this paper is to examine the impact of conflict and nurturing factors for the divorced parent on the behavioral adaptation of their children. The participants in this study include 216 children in divorced families nationwide. Structural Equation Modeling with LISREL8 was used for statistical method. In order to achieve the purpose, researchers firstly tried to test a construct validity of conceptual variables(parental conflict, negative attitude of parental nurturing, child's belief about parental divorce, child's aggression and child's delinquence) by employing exploratory factor analysis(EFA) and confirmatory factor analysis(CFA). Result showed that all the five conceptual variables were discriminated. It was identified as the fit index of path structure was good(CFI=.955, NNFI=.947, RMSEA=.046). The specific result were as follows: 1. the parental conflict(${\xi}1$) was directly related to the negative attitude of parental nurturing(${\eta}1$) and the child's belief about parental divorce(${\eta}2$). 2. the parental conflict(${\xi}1$) was indirectly related to child's belief about parental divorce(${\eta}2$), the child's aggression(${\eta}3$) and delinquence(${\eta}4$). 3. the negative attitude of parental nurturing(${\eta}1$) was directly related to the child's belief about parental divorce(${\eta}2$). 4. the negative attitude of parental nurturing(${\eta}1$) was indirectly related to the child's aggression(${\eta}3$) and delinquence(${\eta}4$). Lastly, and, the child's belief about parental divorce(${\eta}2$) was directly related to the child's aggression(${\eta}3$) and delinquence(${\eta}4$). Researchers also identified the mediating effect of the parental nurturing between parental conflict and child's belief about parental divorce. On the basis of these results, this article provided some suggestions for promoting of children welfare.

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High-Performance Flexible Organic Light-Emitting Devices using Amorphous Indium Zinc Oxide Anode

  • Kang, Jae-Wook;Jeong, Won-Ik;Kim, Han-Ki;Kim, Do-Geun;Lee, Gun-Hwan;Kim, Jang-Joo
    • 한국정보디스플레이학회:학술대회논문집
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    • 2007.08b
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    • pp.1425-1428
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    • 2007
  • The amorphous IZO on flexible substrate (PC) shows similar electrical conductivity and optical transmittance with commercial ITO glass even though it was prepared at $<50\;^{\circ}C$. Moreover, it exhibits little resistance change during 5000 bending cycles, demonstrating good mechanical robustness. A green phosphorescent OLED fabricated on amorphous IZO on flexible PC shows maximum external quantum efficiency of ${\eta}_{ext}=13.7\;%$ and power efficiency of ${\eta}_p=32.7\;lm/W$, which are higher than a device fabricated on a commercial ITO on glass (${\eta}_{ext}=12.4%$ and ${\eta}_p=30.1\;lm/W$) and ITO on flexible PC (${\eta}_{ext}=8.5%$ and ${\eta}_p=14.1\;lm/W$).

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The First Organobismuth Compound with Differently Substituted, ${\pi}$-bonded Cyclopentadienylring, ${\eta}^5-C_5(CH_3)_5Bi({\eta}^5-C_5H_5)_2$ (서로 다른 씨클로펜타디엔 유도체가 결합된 최초의 비스무스 화합물, ${\eta}^5-C_5(CH_3)_5Bi({\eta}^5-C_5H_5)_2$의 합성과 결정구조)

  • Shin, Sung-Hee;Hwang, Kyo-Hyun;Chun, Jong-Han
    • Journal of the Korean Applied Science and Technology
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    • v.14 no.2
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    • pp.87-91
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    • 1997
  • 서로 다른 씨클로펜타디엔 유도체가 ${\pi}$-결합된 최초의 비스무스 화합물인 ${\eta}^5-C_5(CH_3)_5Bi({\eta}^5-C_5H_5)_2$이 디펜타메틸씨클로펜타디에닐 비스무스디메틸아미드 $Cp{\ast}_2BiNMe_2[Cp{\ast}=C_5(CH_3)_5]$와 씨클로펜타디에닐 모노머와의 반응으로 합성되었다. 반응조건은 에테르 용매하에 -78$^{\circ}C$ 반응온도 조건하에서 얻어졌다. 합성된 반응물을 노르말 헥산 용매에서 재결정시킨 결과, 검은색 결정이 60% 수율로 얻어졌다. 그리고 재결정시킨 반응물을 190K에서 X-선 단결정 구조 분석 방법에 의해 그 구조를 밝혔다. 그 결과 결정계의 격자계는 I2/a, a=1756.00 picometer, b=906.00 picometer, c=2211.00 picometer, ${\beta}$=104.04, Z=8로 확인되었다. 여기서 a, b, c는 결정�Ю� 상수이고, ${\beta}$는 결정격자 상수인 b와 c간의 각도이며, Z는 단위 결정 격자당 분자의 갯수이다.

Non-Newtonian Intrinsic Viscosities of Biopolymeric and Non-biopolymeric Solutions (II)

  • Jang, Chun-Hag;Kim, Chang-Hong;Ree, Taik-Yue
    • Bulletin of the Korean Chemical Society
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    • v.8 no.4
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    • pp.332-335
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    • 1987
  • This paper is a continuation of our previous $paper,^1$ and deals with Eq.(1) (see the text), which was theoretically derived in the $paper,^1$$ [{\eta}]^f\; and\; [{\eta}]^0$ is the intrinsic viscosity at stress f and f = O, respectively. Equation (1) predicts how $[{{\eta}}]^f / [{\eta}]^0$ changes with stress f, relaxation time ${\beta}_2$ of flow unit 2 and a constant $c_2$ related with the elasticity of molecular spring of flow unit 2. In this paper, Eq.(1) is applied to a biopolymer, e.g., poly (${\gamma}$-benzyl L-glutamate), and nonbiopolymers, e.g., polyisobutylene, polystyrene, polydimethylsiloxane and cellulose triacetate. It was found that the $c_2$ factor is zero for non-biopolymers while $c_2{\neq}0$ for biopolymers as found $previously.^1$ Because of the non-Newtonian nature of the solutions, the ratio $[{{\eta}}]^f / [{\eta}]^0$ drops from its unity with increasing f. We found that the smaller the ${\beta}_2,$ the larger the $f_c$ at which the viscosity ratio drops from the unity, vice versa.

ON MULTIOBJECTIVE GENERALIZED SYMMETRIC DUAL PROGRAMS WITH $\rho-(\eta,0)$-INVEXITY

  • Nahak, C.
    • Journal of applied mathematics & informatics
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    • v.5 no.3
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    • pp.797-804
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    • 1998
  • A pair of multiobjective generalized symmetric dual non-linear programming problems and weak strong and converse dual-ity theorems for these problems are established under generalized $\rho-(\eta,0)$-invexity assumptions. Several known results are obtained as special cases.

Chloro- and Hydrido Complexes of (Pentamethylcyclopentadienyl) bis(phosphine)ruthenium ((펜타메틸시클로펜타디에닐) 비스(포스핀)루테늄의 염화물과 수소화물 유도체)

  • Dong-Hwan Lee
    • Journal of the Korean Chemical Society
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    • v.36 no.2
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    • pp.248-254
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    • 1992
  • Bis(phosphine)ruthenium derivatives $({\eta}^5-C_5Me_5)RuCl(PR_3)_2(PR_3=PMe_3,\; PMe_2Ph,\;PEt_3,\;PMePh_2$, 1/2DPPE, 1/2DPPB) (2a${\sim}$2f) have been synthesized by the reaction of $[({\eta}^5-C_5Me_5)RuCl_2]_2$ (1) with excessive phosphine in ethanol. The reaction of complexes $({\eta}^5-C_5Me_5)Ru(PR_3)_2Cl\;with\;NaBH_4$ in ethanol gave the corresponding hydride complexes $({\eta}^5-C_5Me_5)Ru(PR_3)_2H (PR_3=PMe_3, PEt_3, PMePh_2$, 1/2 DPPE, 1/2DPPB) (3a${\sim}$3e). Chloride complexes (2a${\sim}$2f) and hydride complexes (3a${\sim}$3e) were isolated as crystals, which were characterized by IR, $^1H-NMR$ , and elemental analysis.

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