• Bulletin of the Korean Mathematical Society
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• v.26 no.2
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• pp.169-173
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• 1989

Let V={(x,y,z):f=z$^{n}$ -npz+(n-1)q=0 for n .geq. 3} be a compled analytic subvariety of a polydisc in $C^{3}$ where p=p(x,y) and q=q(x,y) are holomorphic near (x,y)=(0,0) and f is an irreducible Weierstrass polynomial in z of multiplicity n. Suppose that V has an isolated singular point at the origin. Recall that the z-discriminant of f is D(f)=c(p$^{n}$ -q$^{n-1}$) for some number c. Suppose that D(f) is square-free. then we prove that by Theorem 2.1 .mu.(p$^{n}$ -q$^{n-1}$)=.mu.(f)-(n-1)+n(n-2)I(p,q)+1 where .mu.(f), .mu. p$^{n}$ -q$^{n-1}$are the corresponding Milnor numbers of f, p$^{n}$ -q$^{n-1}$, respectively and I(p,q) is the intersection number of p and q at the origin. By one of applications suppose that W$_{t}$ ={(x,y,z):g$_{t}$ =z$^{n}$ -np$_{t}$ $^{n-1}$z+(n-1)q$_{t}$ $^{n-1}$=0} is a smooth family of complex analytic varieties near t=0 each of which has an isolated singularity at the origin, satisfying that the z-discriminant of g$_{t}$ , that is, D(g$_{t}$ ) is square-free. If .mu.(g$_{t}$ ) are constant near t=0, then we prove that the family of plane curves, D(g$_{t}$ ) are equisingular and also D(f$_{t}$ ) are equisingular near t=0 where f$_{t}$ =z$^{n}$ -np$_{t}$ z+(n-1)q$_{t}$ =0.}$ =0.

• Journal of the Korean Chemical Society
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• v.47 no.2
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• pp.137-146
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• 2003

3-Hydroxybenzopyran[3,2-c]-[1]-benzopyran-6,7-diones (3) and 3-methoxycarbonylcoumarin (4) were prepared via condensation of 1 with resorcinol in the presence of sodium methoxide. The chemical behavior of 3 towards acetic anhydride, alkyl halides and diazonium chloride is described. The electron impact ionization mass spectra of compounds 4,5 and 6a,b show a weak molecular ion peak and a base peak of m/z 89, m/z 280. m/z 91 and m/z 120 resulting from a cleavage fragmentation respectively. The molecular ion of compounds 3, 6b, and 7a is a base peak of m/z 280, m/z 366 and m/z 488 respectively. Compound 7a give a characteristic fragmentation pattern with a two very stable fragmentation of m/z 383 and m/z 77.

• Korean Journal of Fisheries and Aquatic Sciences
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• v.14 no.4
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• pp.253-259
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• 1981

A study was 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 a, the oldest age in the catch b and the average between the age of complete recruitment and the oldest age in the catch Ut, then we have $$U_{t}\;=\;\frac{a-b\;{e xp}\{-z(b-a)\}}{1-\;{e xp}\{-z(b-a)\}}+\frac{1}{z}{\cdots}{\cdots}{\cdots}{\cdots}{\cdots}$$(1) And let b be infinite, then we obtain $$Z=\frac{1}{U_t-a}{\cdots}{\cdots}{\cdots}{\cdots}{\cdots}{\cdots}$$ (2) 2. Calculating numerical value of $U_t$ from age composition table and growth equation, and substitute in (1) for it, we may obtain the value of z and $e^{-z}$. 3. This method is applied to a case of mackerel and horse mackerel in the coastal waters of Korea, with the following results : Total mortality rate-Mackerel : 0.87909, Horse mackerel : 2.22327, Survival rate-Mackerel : 0.41516, Horse Mackerel : 0.10825, 95 percent confidence Interval of survival rate-Mackerel : $0.35966{\sim}0.47264$, Horse mackerel : $0.06897{\sim}0.14974$

• Journal of the Korea Academia-Industrial cooperation Society
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• v.16 no.1
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• pp.408-417
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• 2015

The aim of the study was to verify the effects of simulation-based stroke care education on the nursing performance ability and satisfaction among nursing students. The study used a nonequivalent control group pretest-posttest design. A total of 64 nursing students in a nursing college participated in this study. The participants were assigned conveniently according to the academic year to either the experimental group in 2013 (n = 32) or control group in 2014 (n = 32). The experimental group received a simulation-based stroke care education, and the control group received a clinical placement with self-directed practicum. The data was analyzed using the Mann-Whitney U test. The results showed that the scores of the overall nursing performance ability (z = -3.373, p < .001) and satisfaction (z = -3.245, p = .001) in the experimental group were significantly higher than those in the control group. Overall, simulation-based stroke care education is an effective teaching strategy of improving the nursing performance ability and satisfaction among nursing students.

• Kyungpook Mathematical Journal
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• v.48 no.3
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• pp.359-366
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• 2008

Let A(p) be the class of functions $f\;:\;z^p\;+\;\sum\limits_{j=1}^{\infty}a_jz^{p+j}$ analytic in the open unit disc E. Let, for any integer n > -p, $f_{n+p-1}(z)\;=\;z^p+\sum\limits_{j=1}^{\infty}(p+j)^{n+p-1}z^{p+j}$. We define $f_{n+p-1}^{(-1)}(z)$ by using convolution * as $f_{n+p-1}\;*\;f_{n+p-1}^{-1}=\frac{z^p}{(1-z)^{n+p}$. A function p, analytic in E with p(0) = 1, is in the class $P_k(\rho)$ if ${\int}_0^{2\pi}\|\frac{Re\;p(z)-\rho}{p-\rho}\|\;d\theta\;\leq\;k{\pi}$, where $z=re^{i\theta}$, $k\;\geq\;2$ and $0\;{\leq}\;\rho\;{\leq}\;p$. We use the class $P_k(\rho)$ to introduce a new class of multivalent analytic functions and define an integral operator $L_{n+p-1}(f)\;\;=\;f_{n+p-1}^{-1}\;*\;f$ for f(z) belonging to this class. We derive some interesting properties of this generalized integral operator which include inclusion results and radius problems.

• The Journal of the Korea Contents Association
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• v.21 no.6
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• pp.327-335
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• 2021

In this study, we sought to investigate how animal-assisted therapy using therapy dogs affects the relationship between children's self-esteem and age. The subjects of the study were 20 children in the lower grades of elementary school in I City who were recommended by a school social worker and their homeroom teacher, and 10 control groups of 10 experimental groups were selected. From October 1st to December 17th, 2019, the program conducted an animal-mediated treatment program once a week for 50 minutes for 12 sessions. Using SPSS 20.0 for verification, the experimental and control groups were analyzed by performing pre- and post-relationship calm scale measurements of self-esteem and age. As a result, first, the overall self-esteem of the experimental group (Z = -2.75, p<.05), the self-esteem at home (Z = -2.02, p<.05), and the academic self-esteem (Z = -2.06, p<. 05) shows a statistically significant difference. Second, significant differences were shown in overall peer relationships(Z=-3.83, p<.05), scrupulosity(Z=-2.68, p<.05), and empathy(Z=-2.81, p<.05) in the experimental population. Therefore, in this study, it was confirmed that animal-assisted therapy using therapy dogs had a positive effect on the relationship between children's self-esteem and age.

• East Asian mathematical journal
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• v.16 no.2
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• pp.169-174
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• 2000

We give an easy proof that ${\phi}(z)=\frac{z^2_1}{1-z^2_2}$ induces the bounded composition operator $C_{\phi}:\mathcal{B}{\rightarrow}{\bigcap}H^p(B_2)$ defined by $C_{\phi}f=f\;o\;{\phi}$.

• Bulletin of the Korean Mathematical Society
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• v.44 no.4
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• pp.851-860
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• 2007

In this paper, we prove that a function satisfying the following inequality $${\parallel}f(x)+2f(y)+2f(z){\parallel}{\leq}{\parallel}2f(\frac{x}{2}+y+z){\parallel}+{\epsilon}({\parallel}x{\parallel}^r{\cdot}{\parallel}y{\parallel}^r{\cdot}{\parallel}z{\parallel}^r)$$ for all x, y, z ${\in}$ X and for $\epsilon{\geq}0$, is Cauchy additive. Moreover, we will investigate for the stability in Banach spaces.

• Journal of the Korean Chemical Society
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• v.34 no.2
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• pp.179-183
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• 1990

New synthesis and electroanthennogram (EAG) responses of the pheromones of the diamond back moth Plutella xylostella L. are described. Lithium dianion of propargyl alcohol was alkylated with 1-bromononane to give 2-dodecyn-1-ol, which was converted to 11-dodecyn-1-ol by acetylene-zipper reaction. Dianion of 11-dodecyn-1-ol was alkylated with 1-bromobutane to provide 11-hexadecyn-1-ol, which was in turn reduced over Pd/BaSO4 to afford (Z)-11-hexadecen-1-ol (3). (Z)-11-Hexadecen-1-ol was oxidized and acetylated to (Z)-11-hexadecen-1-al (1) and (Z)-11-hexadecen-1-yl acetate (2), respectively. The electroantennogram (EAG) responses of the diamond back moth to the pheromone compouds thus synthesized were measured.

• Journal of the Korean Academy of Child and Adolescent Psychiatry
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• v.32 no.2
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• pp.43-50
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• 2021

Objectives: The purpose of this study was to evaluate the effects of a school bullying prevention camp for adolescent perpetrators of school violence. Methods: A total of 95 adolescents (boys=73, girls=22) were included in this study. The changes after the program were evaluated using several self-rating scales for the assessment of the degree of depression, loneliness, impulsivity, self-esteem, and interpersonal reactivity compared with the baseline scales. Results: The school bullying prevention camp significantly reduced the degree of depression severity (z=-5.874, p<0.001) and impulsivity scale (z=-3.861, p<0.001), while increasing self-esteem (z=-2.091, p=0.037). The degree of depression severity (z=-4.635, p<0.001), loneliness (z=-2.168, p=0.030), and impulsivity (z=-2.987, p=0.003) significantly reduced, whereas self-esteem significantly increased (z=-2.221, p=0.026) for male students who had no history of child abuse. However, there were no significant changes after the program for the degree of depression, loneliness, impulsivity, self-esteem, and interpersonal reactivity among female students with a history of child abuse. Conclusion: The results of our study suggest that the development of diverse standardized guidance programs is necessary for teenagers with different characteristics and backgrounds. Such programs are expected to be more effective in preventing school violence.