• Nonlinear Functional Analysis and Applications
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• 제29권3호
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• pp.621-633
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• 2024

Let R_n be the space of rational functions with prescribed poles. If r ∈ R_n, does not vanish in |z| < k, then for k = 1 $${\mid}r^{\prime}(z){\mid}{\leq}{\frac{{\mid}B^{\prime}(z){\mid}}{2}}\sup_{z{\in}T}{\mid}r(z){\mid}$$, where B(z) is the Blaschke product. In this paper, we consider a more general class of rational functions rof ∈ R_m*n, defined by (rof)(z) = r(f(z)), where f(z) is a polynomial of degree m^* and prove a more general result of the above inequality for k > 1. We also prove that $$\sup_{z{\in}T}\left[\left|{\frac{r^{*\prime}(f(z)}{B^{\prime}(z)}}\right|+\left|{\frac{r^{\prime}(f(z))}{B^{\prime}(z)}}\right|\right]=\sup_{z{\in}T}\left|{\frac{(rof)(z)}{f^{\prime}(z)}}\right|$$, and as a consequence of this result, we present a generalization of a theorem of O'Hara and Rodriguez for self-inverse polynomials. Finally, we establish a similar result when supremum is replaced by infimum for a rational function which has all its zeros in the unit circle.

• 말소리와 음성과학
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• 제2권2호
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• pp.85-92
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• 2010

The purpose of this study was to know the differences in perceptual judgement for speech intelligibility in monosyllables by inexperienced listeners and vowel space area according to different dysarthric severity. Three dysarthric speakers with different severity(mild, moderate and severe) screened by 3 clinicians' screening tests before the experiment were conducted. Corner vowels (i, u, ae, a) in monosyllable level (CVC, 'p_p') and carrier phrases ('종이에_써') were chosen and analyzed for vowel space. Inexperience listeners (n=20) performed the intelligibility test for spoken syllables and carrier phrases by dysarthric speakers. The results show that there is a significant differences in both F1 and F2 values among 4 corner vowels. Vowel space area in the data of mildly impaired speakers was significantly higher than two others. In the scores of speech intelligibility judged by inexperienced listeners, the scores by a moderately impaired speaker were more higher than two other speakers. The discrepancy between perceptual judgement by inexperienced listeners and vowel space area will be discussed in this area.

• 대한수학회보
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• 제53권5호
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• pp.1531-1548
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• 2016

Let C[0, t] denote the space of real-valued continuous functions on [0, t] and define a random vector $Z_n:C[0,t]{\rightarrow}\mathbb{R}^n$ by $Z_n(x)=(\int_{0}^{t_1}h(s)dx(s),{\ldots},\int_{0}^{t_n}h(s)dx(s))$, where 0 < $t_1$ < ${\cdots}$ < $ t_n=t$ is a partition of [0, t] and $h{\in}L_2[0,t]$ with $h{\neq}0$ a.e. Using a simple formula for a conditional expectation on C[0, t] with $Z_n$, we evaluate a generalized analytic conditional Wiener integral of the function $G_r(x)=F(x){\Psi}(\int_{0}^{t}v_1(s)dx(s),{\ldots},\int_{0}^{t}v_r(s)dx(s))$ for F in a Banach algebra and for ${\Psi}=f+{\phi}$ which need not be bounded or continuous, where $f{\in}L_p(\mathbb{R}^r)(1{\leq}p{\leq}{\infty})$, {$v_1,{\ldots},v_r$} is an orthonormal subset of $L_2[0,t]$ and ${\phi}$ is the Fourier transform of a measure of bounded variation over $\mathbb{R}^r$. Finally we establish various change of scale transformations for the generalized analytic conditional Wiener integrals of $G_r$ with the conditioning function $Z_n$.

• Bulletin of the Korean Chemical Society
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• 제33권10호
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• pp.3317-3320
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• 2012

A novel energetic compound, bifurazano[3,4-b:3',4'-f]furoxano[3'',4''-d] oxacyclohetpatriene (BFFO), was synthesized through special etherification and its structure was determined by single crystal X-ray diffraction. The crystal of $BFFO{\cdot}H_2O$ is monoclinic, space group P2(1)/c with crystal parameters of a = $9.324(4){\AA}$, b = $9.727(4){\AA}$, c = $10.391(4){\AA}$, ${\beta}=106.305(6)^{\circ}$, V = $904.5(6){\AA}^3$, Z = 4, ${\mu}=0.17mm^{-1}$, F(000) = 512 and $D_c=1.866g\;cm^{-3}$. Spectroscopic properties and thermal behaviors of BFFO were studied. BFFO presents good detonation properties.

• Restorative Dentistry and Endodontics
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• 제25권3호
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• pp.390-398
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• 2000

근관형성을 위해 표준화된 근관형성기구에 비해 taper가 큰 기구들이 사용되고 있으며 이를 이용하여 형성된 근관은 taper가 큰 근관의 모양을 갖는다. 근관충전방법에 있어 근관의 크기에 적합한 1차적 gutta-percha cone을 선택할 필요가 있다. 본 연구에서는 .04 및 .06 taper의 전동화일로 형성된 근관에 열연화충전법을 위해 가장 적합한 1차 cone을 선택하기 위한 지침 마련의 목적으로, 근단공의 크기와 근관의 taper에 따른 gutta-percha cone의 근단부 근관 내 적 합도를 평가하였다. ProFile$^{(R)}$ .04 taper와 .06 taper를 이용하여 Crown down 방법으로 60개의 모형근관을 형성하였다. 표준화 gutta-percha cone, Dia-Pro ISO-.04$^{TM}$ 및 .06 gutta-percha cone, MF, F, FM 및 M 크기의 비표준화 gutta-percha cone의 근관 내 적합도는 치근단 5mm의 근관면적에 대한 gutta-percha cone의 점유 면적비(%)로 하였다. .04 taper, 25번 크기의 근관에서는 F, MF 크기의 비표준화 cone이 표준화 cone과 Dia-Pro 180-.04$^{TM}$ 보다 우수한 근관적합도를 나타내었고(p<0.05), 30번 크기의 근관에서는 F, Dia-Pro ISO-.04$^{TM}$, FM 크기의 gutta-percha cone 모두 표준화 cone보다 우수한 근관적합도를 나타내었으나(p<0.05), 35번 크기의 근관에서는 모든 gutta-percha cone 사이에 유의한 차이를 나타내지 않았다(p>0.05) .06 taper, 25번 크기의 근관에서는 사용된 비표준화 cone 모두가 표준화 cone, Dia-Pro ISO-.06$^{TM}$ 보다 나은 근관적합도를 나타내었고(P<0.05), 30번 크기의 근관에서는 표준화 cone을 제외한 나머지 gutta-percha cone에서 유의한 차이를 발견할 수 없었다. 35번 크기의 근관에는 M 크기의 비표준화 cone이 가장 우수한 근관적합도를 보이고 있는 것으로 나타났으며, FM과 Dia-Pro ISO-.06$^{TM}$ 사이에서는 유의한 차이가 나타나지 않았다(p>0.05).

• East Asian mathematical journal
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• 제25권2호
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• pp.179-196
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• 2009

Let E be a uniformly convex Banach space and K a nonempty closed convex subset which is also a nonexpansive retract of E. For i = 1, 2, 3, let $T_i:K{\rightarrow}E$ be an asymptotically nonexpansive mappings with sequence ${\{k_n^{(i)}\}\subset[1,{\infty})$ such that $\sum_{n-1}^{\infty}(k_n^{(i)}-1)$ < ${\infty},\;k_{n}^{(i)}{\rightarrow}1$, as $n{\rightarrow}\infty$ and F(T)=$\bigcap_{i=3}^3F(T_i){\neq}{\phi}$ (the set of all common xed points of $T_i$, i = 1, 2, 3). Let {$a_n$},{$b_n$} and {$c_n$} are three real sequences in [0, 1] such that $\in{\leq}\;a_n,\;b_n,\;c_n\;{\leq}\;1-\in$ for $n{\in}N$ and some ${\in}{\geq}0$. Starting with arbitrary $x_1{\in}K$, define sequence {$x_n$} by setting {$$x_{n+1}=P((1-a_n)x_n+a_nT_1(PT_1)^{n-1}y_n)$$ $$y_n=P((1-b_n)x_n+a_nT_2(PT_2)^{n-1}z_n)$$ $$z_n=P((1-c_n)x_n+c_nT_3(PT_3)^{n-1}x_n)$$. Assume that one of the following conditions holds: (1) E satises the Opial property, (2) E has Frechet dierentiable norm, (3) $E^*$ has Kedec -Klee property, where $E^*$ is dual of E. Then sequence {$x_n$} converges weakly to some p${\in}$F(T).

• 한국실내디자인학회논문집
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• 제21호
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• pp.42-53
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• 1999

The purpose of this study is to clarify the relationship between the exhibits layout and the spatial organization in exhibition spaces. As an analytical method, the space syntax theory devised by Bill Hillier(1984) was applied for analysing the potential differentiation of exhibition spaces and remodeling method in Seoul City Museum selected for case study. The results are as following. Especially from the convex analysis, axial analysis and exhibits(interpretation); 1) the closed spatial system(1F) has high visibility and high intelligibility in hall area but lacks route continuity, 2) the circulated spatial system(2F) has low global visibility but offers high intelligibility and connectivity due to its coercive circulation, 3) and the organization of exhibition design consists in differentiating space that reintegrates them into another spatial order. Therefore, there process are expected to provide a methodological framework for analysing and interpreting spatial organizations of design, leading to the clear explanation of remodeling.

• 대한소아치과학회지
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• 제7권1호
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• pp.7-11
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• 1980

6877 children who visited to pedodontic department from 1976 to 1979, were surveyed on the state of dental caries, therapic inclination a year and yearly tendency of treatment. The results were as follows ; 1. The prevalence of dental caries tended to show the increase in general year by year. 2. Girls had higher d.e.f. T. & S. index and D.M.F. T. & S. index than boys generally. 3. Distribution of therapy a year. (1979) Amalgam Filling 4464 Pulpotomy 952 S.P.-Crown 1538 Gold Inlay 250 Space Maintainer 341 Extraction 1313 Orthodontic Appliance 206 4. Tendency of treatment in 1979 (compared with 1976) No. of new patients 87.5% increased Amalgam Filling 50.0% increased Extraction 31.4% increased Orthodontic Appliance 267.9% increased S.P.-Crown 225.8% increased Gold Inlay 27.8% decreased Space Maintainer 2.3% decreased Pulpotomy 20.5% decreased.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제14권3호
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• pp.161-166
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• 2007

Given operators X and Y acting on a Hilbert space H, an interpolating operator is a bounded operator A such that AX = Y. An interpolating operator for n-operators satisfies the equation $AX_i=Y_i$, for i = 1,2,...,n. In this article, we showed the following: Let L, be a subspace lattice on a Hilbert space H and let X and Y be operators in B(H). Then the following are equivalent: (1) $$sup\{\frac{{\parallel}E^{\bot}Yf{\parallel}}{{\overline}{\parallel}E^{\bot}Xf{\parallel}}\;:\;f{\epsilon}H,\;E{\epsilon}L}\}\;<\;{\infty},\;sup\{\frac{{\parallel}Xf{\parallel}}{{\overline}{\parallel}Yf{\parallel}}\;:\;f{\epsilon}H\}\;<\;{\infty}$$ and $\bar{range\;X}=H=\bar{range\;Y}$. (2) There exists an invertible operator A in AlgL such that AX=Y.

• 융합신호처리학회논문지
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• 제13권4호
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• pp.194-200
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• 2012

본 논문에서는 S.Bostas와 V.Kumar[7]에 의하여 제안되고 $GF(2^n)$에서 정의되는 부호계열 발생알고리즘을 분석하고, 길이 n인 이진벡터로 이루어지는 벡터공간 $F_2$으로부터, 두 원소로 정의되는 공간 $F_2$로 사상할 수 있는 부울함수를 이용하여 발생기 구성 함수를 도출하였다. 차수 n=5와 n=7인 두 종류의 최소 다항식을 이용한 피드벡 쉬프트레지스터를 기반으로 Trace 함수로부터 부호계열 발생기 구성 부울함수를 도출하고 발생기를 설계 구성하였으며 이를 이용하여 두 종류의 부호계열 군을 발생하였다. 발생된 부호계열의 주기는 각각 31과 127로서 주기 $L=2^n-1$을 만족하고 ${\tau}=0$을 제외한 자기상관함수 값과 상호상관함수 값이 각각 {-9, -1, 7}과 {-17, -1, 15}로서 상관함수 값 $R_{i,j}({\tau})=\{-2^{(n+1)/2}-1,-1,2^{(n+1)/2}-1\}$의 특성을 만족하였다. 이 결과로부터 부울함수를 이용한 부호계열 발생기 설계와 구성이 타당함을 확인하였다.