• 한국수학교육학회지시리즈B:순수및응용수학
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• 제5권2호
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• pp.123-132
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• 1998

Let F and G denote the distribution functions of the failure times and the censoring variables in a random censorship model. Susarla and Van Ryzin(1978) verified consistency of $F_{\alpha}$, he NPBE of F with respect to the Dirichlet process prior D($\alpha$), in which they assumed F and G are continuous. Assuming that A, the cumulative hazard function, is distributed according to a beta process with parameters c, $\alpha$, Hjort(1990) obtained the Bayes estimator $A_{c,\alpha}$ of A under a squared error loss function. By the theory of product-integral developed by Gill and Johansen(1990), the Bayes estimator $F_{c,\alpha}$ is recovered from $A_{c,\alpha}$. Continuity assumption on F and G is removed in our proof of the consistency of $A_{c,\alpha}$ and $F_{c,\alpha}$. Our result extends Susarla and Van Ryzin(1978) since a particular transform of a beta process is a Dirichlet process and the class of beta processes forms a much larger class than the class of Dirichlet processes.

• 대한수학회지
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• 제43권4호
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• pp.899-909
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• 2006

Let T be a bounded linear operator on a complex infinite dimensional Hilbert space $\scr{H}$. We say that T is a quasi-class A operator if $T^*\|T^2\|T{\geq}T^*\|T\|^2T$. In this paper we prove that if T is a quasi-class A operator and f is a function analytic on a neigh-borhood or the spectrum or T, then f(T) satisfies Weyl's theorem and f($T^*$) satisfies a-Weyl's theorem.

• Korean Journal of Mathematics
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• 제21권4호
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• pp.365-374
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• 2013

Let $k=\mathbb{F}_q(T)$ be a rational function field over the finite field $\mathbb{F}_q$, where q is a power of an odd prime number, and $\mathbb{A}=\mathbb{F}_q[T]$. Let ${\gamma}$ be a generator of $\mathbb{F}^*_q$. Let $\mathcal{H}_n$ be the subset of $\mathbb{A}$ consisting of monic square-free polynomials of degree n. In this paper we obtain an asymptotic formula for the mean value of $L(1,{\chi}_{\gamma}{\small{D}})$ and calculate the average value of the ideal class number $h_{\gamma}\small{D}$ when the average is taken over $D{\in}\mathcal{H}_{2g+2}$.

• 대한수학회보
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• 제35권1호
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• pp.99-117
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• 1998

Let $(B, H, p_1)$ be an abstract Wiener space and $F(B)$ the Fresnel class on $(B, H, p_1)$ which consists of functionals F of the form : $$ F(x) = \int_{H} exp{i(h,x)^\sim} df(h), x \in B, $$ where $(\cdot, \cdot)^\sim$ is a stochastic inner product between H and B, and f is in $M(H)$, the space of complex Borel measures on H. We introduce an $L_1$ analytic Fourier-Feynman transforms for functionls in $F(B)$. Furthermore, we introduce a convolution on $F(B)$, and then verify the existence of the $L_1$ analytic Fourier-Feynman transform for the convolution product of two functionals in $F(B)$, and we establish the relationships between the $L_1$ analytic Fourier-Feynman tranform of the convolution product for two functionals in $F(B)$ and the $L_1$ analytic Fourier-Feynman transforms for each functional. Finally, we show that most results in [7] follows from our results in Section 3.

• 디지털융복합연구
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• 제20권2호
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• pp.499-509
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• 2022

본 연구는 건강사정 교과목의 사례기반 실습교육이 간호대학생의 수업 참여도, 문제해결과정, 학업적 자기효능감, 학업성취에 미치는 효과를 파악하기 위해 수행되었다. 연구대상자는 C도에 소재한 종합대학 간호학과 2학년 학생 69명이었으며, 연구설계는 비 동등성 대조군 전-후 실험설계이다. 자료수집은 2021년 2월에서 2021년 7월까지 프로그램 적용 전·후 2차례 실시하였으며, 자료 분석은 SPSS/WIN 23.0 Program을 이용하여 기술적 통계, χ² test와 independent t-test, ANCOVA로 분석하였다. 연구 결과 사례기반 실습교육 전·후 수업참여도(F=15.003, p<.001), 학업적 자기효능감(F=13.288, p=.001), 학업성취도(F=19.755, p<.001)가 실험군이 대조군보다 유의미하게 높았다. 또한 문제해결과정의 의사결정(F=6.948, p=.010), 수행(F=6.232, p=.015), 평가 및 반영(F=5.364, p=.024)에서 실험군이 대조군 보다 유의미하게 높았다. 따라서 간호학생의 문제해결과정, 수업참여도, 학업적 자기효능감, 학업성취도를 높이기 위해서는 전공교과목의 학습내용에 따라 사례기반학습을 확대할 필요가 있다.

• 충청수학회지
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• 제23권1호
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• pp.169-176
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• 2010

Let $k={\mathbb{F}}_q(T)$ and ${\mathbb{A}}={\mathbb{F}}_q[T]$. In this paper, we obtain the the criterion for the parity of the ideal class number h(${\mathcal{O}}_K$) of the real biquadratic function field $K=k(\sqrt{P_1},\;\sqrt{P_2})$, where $P_1$, $P_2{\in}{\mathbb{A}}$ be two distinct monic primes of even degree.

• 대한수학회보
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• 제59권5호
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• pp.1237-1246
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• 2022

In this paper, we introduce the concept of N-pure ideal as a generalization of pure ideal. Using this concept, a new and interesting type of rings is presented, we call it a mid ring. Also, we provide new characterizations for von Neumann regular and zero-dimensional rings. Moreover, some results about mp-ring are given. Finally, a characterization for mid rings is provided. Then it is shown that the class of mid rings is strictly between the class of reduced mp-rings (p.f. rings) and the class of mp-rings.

• 충청수학회지
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• 제25권4호
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• pp.655-668
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• 2012

An operator $T\;{\varepsilon}\;B(\mathcal{H})$ is said to be $k$-quasi-paranormal operator if $||T^{k+1}x||^2\;{\leq}\;||T^{k+2}x||\;||T^kx||$ for every $x\;{\epsilon}\;\mathcal{H}$, $k$ is a natural number. This class of operators contains the class of paranormal operators and the class of quasi - class A operators. In this paper, using the operator matrix representation of $k$-quasi-paranormal operators which is related to the paranormal operators, we show that every algebraically $k$-quasi-paranormal operator has Bishop's property ($\beta$), which is an extension of the result proved for paranormal operators in [32]. Also we prove that (i) generalized Weyl's theorem holds for $f(T)$ for every $f\;{\epsilon}\;H({\sigma}(T))$; (ii) generalized a - Browder's theorem holds for $f(S)$ for every $S\;{\prec}\;T$ and $f\;{\epsilon}\;H({\sigma}(S))$; (iii) the spectral mapping theorem holds for the B - Weyl spectrum of T.

• 복식
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• 제33권
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• pp.27-39
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• 1997

The purpose of this study was to classify the attributes of brand image criteria of women's shoes to compose the perceptual map of the brand by factor analysis and to examine the differences in brand preferences and purchase methods of shoes according to demographic variables. 10 brand names were selected for the study Samples were 271 women in Seoul Korea :143 were college students and 128 were career women.The data were analyzed using factor analy-sis multiple regression analysis one-way ANOVA Duncan's multiple range test x2-test t-test. The results of the study were the -followings: 1. Four segments of brand image attributes of women's shoes derived by factor analysis: F. 1. 'utility' F.2'appearance' ; F. 3 'sales promotion' ; F.4 'financial factor'. 2. As the result of draw up the perceptual map 'landrover' was high in utility but low in appearance 'Misope' and 'Mook' was low in utility but high in appearance. 'Fashion Leader' was in the nearest ideal direction to the utility and appearance. 3. The preference level of the shoes brand name was in order of the 'Fashion Leader'. 'Mook' and 'Soda' But consumers possessed 'Landrover' the most 4. There were significant differences among preference level of ' Landrover' and 'Misope' according to the social class. There were sig-nificant differences among possession level of 'Misope' and 'Soda' according to the social class 5. the middle and lower class consumers used an exchange ticket during the bargain sales more than upper class when they pur-chase shoes.

• 대한수학회보
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• 제60권5호
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• pp.1253-1263
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• 2023

Let 𝓤⁺ be the class of analytic functions f such that ${\frac{z}{f(z)}}$ has real and positive coefficients and f^-1 be its inverse. In this paper we give sharp estimates of the initial coefficients and initial logarithmic coefficients for f, as well as, sharp estimates of the second and the third Hankel determinant for f and f^-1. We also show that the Zalcman conjecture holds for functions f from 𝓤⁺.