• Title/Summary/Keyword: $Z_2$

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Design of Electrodes of the Tapered Region of the Traveling-Wave Optical Modulator: SOR Method (진행파 광변조기의 Taper영역 전극 설계 : SOR기법)

  • 정석원;김창민
    • Korean Journal of Optics and Photonics
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    • v.7 no.1
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    • pp.77-86
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    • 1996
  • We employ the SOR method to analyze CPW electrodes of Ti:$LiNbO_3$ Mach-Zehnder traveling-wave optical modulator in the tapered region of an optical modulator. In the tapered region of the modulator, we design the electrodes satisfying $Z_c=50{\Omega}$. In the modulation region, we find two find sets of design parameters. One set is for $Z_c=50{\Omega}$, $n_{eff}=2.26$ and the another is for $n_{eff}=2.2$, $Z_c=47.7{\Omega}$.

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Some Characterizations of Catenary Rotation Surfaces

  • Kim, Dong-Soo;Kim, Young Ho;Yoon, Dae Won
    • Kyungpook Mathematical Journal
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    • v.57 no.4
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    • pp.667-676
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    • 2017
  • We study the positive $C^1$ function z = f(x, y) defined on the plane ${\mathbb{R}}^2$. For a rectangular domain $[a,b]{\times}[c,d]{\subset}{\mathbb{R}}^2$, we consider the volume V and the surface area S of the graph of z = f(x, y) over the domain. We also denote by (${\bar{x}}_V,\;{\bar{y}}_V,\;{\bar{z}}_V$) and (${\bar{x}}_S,\;{\bar{y}}_S,\;{\bar{z}}_S$) the geometric centroid of the volume under the graph of z = f(x, y) and the centroid of the graph itself defined on the rectangular domain, respectively. In this paper, first we show that among nonconstant $C^2$ functions with isolated singularities, S = kV, $k{\in}{\mathbb{R}}$ characterizes the family of catenary rotation surfaces f(x, y) = k cosh(r/k), $r={\mid}(x,y){\mid}$. Next, we show that one of $({\bar{x}}_S,\;{\bar{y}}_S)=({\bar{x}}_V,\;{\bar{y}}_V)$, $({\bar{x}}_S,\;{\bar{z}}_S)=({\bar{x}}_V,\;2{\bar{z}}_V)$ and $({\bar{y}}_S,\;{\bar{z}}_S)=({\bar{y}}_V,\;2{\bar{z}}_V)$ characterizes the family of catenary rotation surfaces among nonconstant $C^2$ functions with isolated singularities.

The Effects of the Combined Biofeedback and Brief Emotion Regulation Nursing Intervention Based on the Gross Model for Sexually Abused Adolescents (성폭력 피해 청소년을 위한 바이오피드백 병행 Gross 모델기반 단기 정서조절 간호중재 효과)

  • Kim, Jieun;Park, Wanju
    • Journal of Korean Academy of Nursing
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    • v.52 no.6
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    • pp.608-623
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    • 2022
  • Purpose: This study aimed to evaluate the effects of a combined biofeedback and brief emotion regulation (C-BABER) program for sexually abused adolescents. Methods: This study employed a non-equivalent control group pretest-posttest design. The participants included 26 sexually abused adolescents from eight Sunflower Centers of South Korea-with 13 in the experimental group and 13 in the control group. The experimental group received four sessions of the individual C-BABER program, each lasting 60 minutes. Results: Compared with the control group, sexually abused adolescents in the experimental group exhibited significant score differences in traumatic symptoms, including depression (Z = - 2.24, p = .025), dissociation (Z = - 2.21, p = .027), anxiety (Z = - 2.02, p = .044), and posttraumatic stress (Z = - 2.01 p = .045); and impulsivity, including positive urgency (Z = - 3.35, p = .001) and negative urgency (Z = - 2.28, p = .023). Additionally, the experimental group exhibited significant score differences in meta-mood, including emotional attention (Z = - 2.45, p = .014), emotional clarity (Z = - 2.30, p = .021), and emotional repair (Z = - 2.28, p = .022); and emotional regulation modes, including emotional suppression (Z = - 2.65, p = .008) and cognitive reappraisal (Z = - 1.98, p = .047). Regarding bio-attention, significant changes were identified in the experimental group for the bio-attention rate and attention maintenance time in the posttest compared to the pretest (p = .001). Conclusion: The C-BABER program for sexually abused adolescents is effective in decreasing traumatic symptoms and impulsivity, and in improving meta-mood, emotional regulation mode, and bio-attention. Therefore, we recommend providing sexually abused adolescents the C-BABER program to help them regulate their emotions and effectively adapt to their lives.

A facile synthesis of (E)-2-hexenyl (E)-2-hexenoate and (E)-2-hexenyl (Z)-3-hexenoate, pheromone components of Riptortus pedestris (톱다리개미허리노린재 페로몬, (E)-2-hexenyl (E)-2-hexenoate과 (E)-2-hexenyl (Z)-3-hexenoate의 합성)

  • Kim, Junheon;Park, Chung Gyoo
    • The Korean Journal of Pesticide Science
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    • v.17 no.2
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    • pp.140-143
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    • 2013
  • We investigated optimal condition for synthesis of (E)-2-hexenyl (E)-2-hexenoate (1) and (E)-2-hexenyl (Z)-3-hexenoate (2), the pheromone components of Riptortus pedestris, by Steglich esterification. The reaction with 1.1-1.5 equivalent of dicyclohexylcarbodiimide (DCC), 1.5-2.0 equivalent of (E)-2-hexenol, and 0.1 equivalent 4-dimethylaminopyrinde (DMAP) to (E)-2-hexenoic acid in toluene or (Z)-3-hexenoic acid in dichloromethane led 1 and 2 in 76-78% and 87-91% yield, respectively.

The color stability and antibacterial of provisional polyethyl methacrylate (PEMA) resin with zirconia nanoparticles (지르코니아 나노입자 첨가된 PEMA (Polyethyl Methacrylate)레진 표면의 색안정성 및 항균평가)

  • Kim, Hee-Seon;Lee, Seon-Ki;Jang, Woohyung;Park, Chan;Lim, Hyun-Pil
    • Journal of Dental Rehabilitation and Applied Science
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    • v.38 no.1
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    • pp.18-25
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    • 2022
  • Purpose: This study aimed to evaluate the color stability and antibacterial properties of the surface of polyethyl methacrylate (PEMA) resin with zirconia nanoparticles added. Materials and Methods: The control group was pure PEMA resin, and the experiment group was PEMA resin 15 mm in diameter and 2.5 mm in thickness disk-shaped specimens with 2, 4 and 8 w/v% of zirconia nanoparticles added, which were respectively divided into Group Z2, Group Z4, and Group Z8. After analyzing the surface roughness and color stability of the specimens, their antibacterial properties were evaluated using Porphyromonas gingivalis (P. gingivalis). The Statistical analysis was performed using when normality was met in the Shapiro-Wilk test, one-way ANOVA was used to test parameters, and Tukey's test was used as a post hoc test. When normality was not met, the Kruskal-Wallis test, a non-parametric test was used (P < 0.05). Results: The surface roughness measurement found that there was no significant difference between the experimental and control groups. The color stability evaluation showed that the Z2, Z4, and Z8 groups were within the color range of natural teeth. The adhesion of P. gingivalis was evaluated to be significantly reduced in Group Z2 compared to the control group (P < 0.05). In the Z2 group, Z4 group, and Z8 group, dead cells bacteria than the control group were observed. Conclusion: In conclusion, PEMA resin with zirconia nanoparticles added was within the range of natural teeth in color and reduced the adhesion of P. gingivalis.

Environmental Evaluation of Fish Aquafarm off Baegyado in Yeosu by Multivariate Analysis (다변량분석에 의한 여수 백야도 어류양식장의 해양 환경분석)

  • LEE, Chang-Hyeok;KANG, Man-Gu;LIM, Su-Yeon;KIM, Jae-Hyun;SHIN, Jong-Ahm
    • Journal of Fisheries and Marine Sciences Education
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    • v.29 no.3
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    • pp.785-798
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    • 2017
  • This study was conducted to evaluated the surface(10 variables) and bottom(10 variables) water quality, and sediment(3 variables) in the cage fish farm off Baegyado in Gamak Bay using a multivariate analysis from January 2013 to November 2014. Generally, the environmental data did not show a certain tendency by months during two years investigated. The pairwise simple correlation matrices among variables were also shown. The first four principal components of the surface water in 2013 explain 93% of the total sample variance; the first principal component($z_1$) showed the freshwater inflow and/or precipitation, $z_2$, $z_3$ and $z_4$ related to freshwater inflow and/or precipitation, organic matters and eutrophy, respectively; the first four principal components of the bottom water in 2013 explain 93% of the total sample variance; the $z_1$, $z_2$ and $z_4$ related to freshwater inflow and/or precipitation, and $z_3$ water temperature. In 2014, at the surface water the first three principal components explain 87%; the $z_1$, $z_2$ and $z_3$ related to water temperature, eutrophy and freshwater inflow and/or precipitation, respectively; at the bottom water the first three principal components explain 93%; $z_1$, $z_2$ and $z_3$ related to water temperature, freshwater inflow and/or precipitation and eutrophy. Half of the principal components related to freshwater inflow and/or precipitation.

Synthesis of Zeolite Using Discharged Fly Ash in an Industrial Complex in Ulsan (울산지역 공단에서 발생되는 비산재를 이용한 제올라이트 합성)

  • Lee, Chang-Han;Park, Jong-Won
    • Journal of Korean Society of Environmental Engineers
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    • v.33 no.5
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    • pp.301-306
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    • 2011
  • In this study, zeolite was synthesized by hydrothermal, fusion, and fusion/hydrothermal methods with fly ash, coal fly ash, and a waste catalyst discharged from thermal power plants and incinerator in Ulsan area. Coal fly ashes (CFAs) and a waste catalyst containing amounts of $SiO_2$ and $Al_2O_3$ ranging from 60.29 to 89.62 wt%. CFAs were mainly composed of quartz and mullite which were assayed by a XRD pattern. Zeolite could be synthesized by CFAs and the waste catalyst when all methods were used. Na-A zeolite (Z-C1, Z-C2, and Z-W5) are mainly synthesized by the fusion method from CFAs and the waste catalyst. Z-C1 and Z-C2 formed by-products, calcite peaks, which is caused by the content of CaO in CFAs and the addition of $Na_2CO_3$ for a synthetic process.

A DOUBLE INTEGRAL CHARACTERIZATION OF A BERGMAN TYPE SPACE AND ITS MÖBIUS INVARIANT SUBSPACE

  • Yuan, Cheng;Zeng, Hong-Gang
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.6
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    • pp.1643-1653
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    • 2019
  • This paper shows that if $1<p<{\infty}$, ${\alpha}{\geq}-n-2$, ${\alpha}>-1-{\frac{p}{2}}$ and f is holomorphic on the unit ball ${\mathbb{B}}_n$, then $${\int_{{\mathbb{B}}_n}}{\mid}Rf(z){\mid}^p(1-{\mid}z{\mid}^2)^{p+{\alpha}}dv_{\alpha}(z)<{\infty}$$ if and only if $${\int_{{\mathbb{B}}_n}}{\int_{{\mathbb{B}}_n}}{\frac{{\mid}f(z)-F({\omega}){\mid}^p}{{\mid}1-(z,{\omega}){\mid}^{n+1+s+t-{\alpha}}}}(1-{\mid}{\omega}{\mid}^2)^s(1-{\mid}z{\mid}^2)^tdv(z)dv({\omega})<{\infty}$$ where s, t > -1 with $min(s,t)>{\alpha}$.

APPLICATIONS OF THE SCHWARZ LEMMA RELATED TO BOUNDARY POINTS

  • Bulent Nafi Ornek
    • The Pure and Applied Mathematics
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    • v.30 no.3
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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, ..., cn ∈ 𝜕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'(cn).

ESTIMATION OF THE SURVIVAL RATE IN FISH POPULATION FROM THE LENGTH COMPOSITION AND THE GROWTH EQUATION1 (체장조성과 성장곡선식에서 생잔율을 추정하는 방법)

  • SHIN Sang Taek
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.10 no.2
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    • pp.137-143
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    • 1977
  • A study has been made to find out a new method of calculating the survival rate of a fish population from length composition and growth equation. 1. In the steady state of the fish population, let the total mortality rate be z, the age of complete recruitment $\alpha$, and the number of $\chi$ year class $N_\chi$. Then ire obtain $$N\chi=N\alpha\;\exp\;{-z(\chi-\alpha)}$$ Let the oldest age in the catch be h, the average age between the age of complete recruitment and the oldest age in the catch $U\chi$. Then we have $$U\chi=\frac{a-b\;\exp\;(-z(b-a))}{1-\exp\;(-z(b-a))}+\frac{1}{z}....(1)$$ and then let be infinite. Then we obtain $$Z=\frac{1}{U\chi-\alpha....(2)$$ 2. Calculating numerical value of $U\chi$ from age composition table and growth equation and substitute in (1) or (2) for it, we may obtain the value of s and $\varrho^{-z}$. 3. This method is applied t a case of yellow croaker in the Yellow Sea and the East China Sea. The results are as follows: Total mortality rate 0.82595 Survival rate 0.43782 95 percent confidence interval 0.43767-0.43797.

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