• Journal of applied mathematics & informatics
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• 제35권5_6호
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• pp.551-563
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• 2017

In this paper, by using fixed point theorems in cones, the existence of positive solutions is considered for nonlinear m-point boundary value problem for the following second-order dynamic equations on time scales $$u^{{\Delta}{\nabla}}(t)+a(t)f(t,u(t))=0,\;t{\in}(0,T),\;{\beta}u(0)-{\gamma}u^{\Delta}(0)=0,\;u(T)={\sum_{i=1}^{m-2}}\;a_iu({\xi}_i),\;m{\geq}3$$, where $a(t){\in}C_{ld}((0,T),\;[0,+{\infty}))$, $f{\in}C([0,T]{\times}[0,+{\infty}),\;(-{\infty},+{\infty}))$, the nonlinear term f is allowed to change sign. We obtain several existence theorems of positive solutions for the above boundary value problems. In particular, our criteria generalize and improve some known results [15] and the obtained conditions are different from related literature [14]. As an application, an example to demonstrate our results is given.

• 대한수학회보
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• 제47권1호
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• pp.81-87
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• 2010

In this paper, we consider the existence of nontrivial solutions for the nonlinear fractional differential equation boundary-value problem(BVP) $-D_0^{\alpha}+u(t)=\lambda[f(t, u(t))+q(t)]$, 0 < t < 1 u(0) = u(1) = 0, where $\lambda$ > 0 is a parameter, 1 < $\alpha$ $\leq$ 2, $D_{0+}^{\alpha}$ is the standard Riemann-Liouville differentiation, f : [0, 1] ${\times}{\mathbb{R}}{\rightarrow}{\mathbb{R}}$ is continuous, and q(t) : (0, 1) $\rightarrow$ [0, $+\infty$] is Lebesgue integrable. We obtain serval sufficient conditions of the existence and uniqueness of nontrivial solution of BVP when $\lambda$ in some interval. Our approach is based on Leray-Schauder nonlinear alternative. Particularly, we do not use the nonnegative assumption and monotonicity which was essential for the technique used in almost all existed literature on f.

• 한국세라믹학회지
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• 제38권11호
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• pp.1042-1045
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• 2001

Ba(Zn$_{1}$3/Nb$_{2}$3/) $O_3$-Sr(Zn$_{1}$3/Nb$_{2}$3/) $O_3$계에 대하여 소결 온도 변화와 Zr $O_2$첨가량에 따른 마이크로파 유전특성을 조사하였다. 동일 조성에서 소결 온도가 증가함에 따라 밀도가 향상되고 공진 주파수의 온도계수($ au$$_{f}$)는 감소하는 경향을 보였으나, 유전상수(K)와 품질계수(Q$\times$f)는 커다란 변화가 없었다. 또한 Zr $O_2$첨가량이 증가함에 따라 소결 시편의 밀도가 향상되었고 더불어 유전상수, 품질계수가 증가하는 경향을 보였으며, 공진 주파수의 온도계수가 감소하는 우수한 특성이 나타났다. 특히, 소결온도 1575$^{\circ}C$, 0.6 wt% Zr $O_2$를 첨가했을 때 유전상수가 최대($\varepsilon$$_{r}$=41)로 나타났으며, 공진 주파수의 온도계수는 1.0wt% Zr $O_2$를 첨가했을 때 최소($\tau$$_{f}$=+0.8ppm/$^{\circ}C$)로서 양호한 값을 얻을 수 있었다.었다.

• 한국미생물·생명공학회지
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• 제27권6호
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• pp.466-470
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• 1999

Protease production and its characteristics were investigated with Mucor racemosus f. racemosus PDA 103 which was isolated from Korean traditional meju. Optimum culture conditions of the strain for the production of the protease in basic medium[bean(Baektae):H2O=1:1(w/v)] were as follows: pH 6, 3$0^{\circ}C$ and 72hrs. Optimum pH and temperature for the enzyme activity of the protease produced by Mucor racemosus f. racemosus were pH 5 and 5$0^{\circ}C$, respectively. The enzyme was relatively stable a pH2.0~5.0 and at temperature below 4$0^{\circ}C$. Phenylmethane-sulfonyl fluoride and Ag+ inhibited the enzyme activity. This indicates that the enzyme is serine protease. Km value was 0.9$\times$10-4M and Vmax value was 5.93$\mu\textrm{g}$/min. This enzyme hydrolyzed casein more rapidly than bovine albumin.

• Journal of applied mathematics & informatics
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• 제32권1_2호
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• pp.75-82
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• 2014

In this paper, we consider the periodic boundary value problem with sign changing nonlinearity $$u^{{\prime}{\prime}{\prime}}+{\rho}^3u=f(t,u),\;t{\in}[0,2{\pi}]$$, subject to the boundary value conditions: $$u^{(i)}(0)=u^{(i)}(2{\pi}),\;i=0,1,2$$, where ${\rho}{\in}(o,{\frac{1}{\sqrt{3}}})$ is a positive constant and f(t, u) is a continuous function. Using Leggett-Williams fixed point theorem, we provide sufficient conditions for the existence of at least three positive solutions to the above boundary value problem. The interesting point is the nonlinear term f may change sign.

• 한국세라믹학회지
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• 제41권8호
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• pp.633-636
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• 2004

The sintering behavior, microstructure and microwave dielectric properties of Ca $Ti_{0.5}$F $e_{0.25}$N $b_{0.25}$ $O_3$ with CuO have been investigated. Among the range of additions, 3 wt％ CuO was observed to perform most satisfactory for acting as a sintering aid. The dielectric properties were found to strongly depend on the sintered densities. The dielectric constant increased with sintering temperatures, while the Q${\times}$ $f_{0}$ value affected by second phase. For Ca $Ti_{0.5}$F $e_{0.25}$N $b_{0.25}$ $O_3$ with 3 wt％ CuO sintered at 100$0^{\circ}C$ for 2 h, the dielectric properties with an $\varepsilon$$_{r}$ value of 56, a Q${\times}$ $f_{0}$ value of 3,500 GHz and a $\tau$$_{f}$ value of 10 ppm/$^{\circ}C$ were obtained and suggested for practical applications.cations.ons.ons.ons.

• 대한수학회지
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• 제31권4호
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• pp.633-643
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• 1994

Let us consider the initial-value problem of dimension m: $$ \frac{d\tau}{d}y(\tau) = f(\tau, Y(\tau)), y(0) = y_0, \tau \geq 0, (1.1) $$ Where $ = (f_1, f_2, \cdots, f_m) and y = (y_1, y_2, \cdots, y_m)$.

• Korean Journal of Radiology
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• 제21권12호
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• pp.1317-1325
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• 2020

Objective: The aim of this study was to prospectively evaluate whether liver stiffness (LS) assessments, obtained by two-dimensional (2D)-shear wave elastography (SWE) with a propagation map, can evaluate liver fibrosis stage using histopathology as the reference standard. Materials and Methods: We prospectively enrolled 123 patients who had undergone percutaneous liver biopsy from two tertiary referral hospitals. All patients underwent 2D-SWE examination prior to biopsy, and LS values (kilopascal [kPa]) were obtained. On histopathologic examination, fibrosis stage (F0-F4) and necroinflammatory activity grade (A0-A4) were assessed. Multivariate linear regression analysis was performed to determine the significant factors affecting the LS value. The diagnostic performance of the LS value for staging fibrosis was assessed using receiver operating characteristic (ROC) analysis, and the optimal cut-off value was determined by the Youden index. Results: Reliable measurements of LS values were obtained in 114 patients (92.7%, 114/123). LS values obtained from 2D-SWE with the propagation map positively correlated with the progression of liver fibrosis reported from histopathology (p < 0.001). According to the multivariate linear regression analysis, fibrosis stage was the only factor significantly associated with LS (p < 0.001). The area under the ROC curve of LS from 2D-SWE with the propagation map was 0.773, 0.865, 0.946, and 0.950 for detecting F ≥ 1, F ≥ 2, F ≥ 3, and F = 4, respectively. The optimal cut-off LS values were 5.4, 7.8, 9.4, and 12.2 kPa for F ≥ 1, F ≥ 2, F ≥ 3, and F = 4, respectively. The corresponding sensitivity and specificity of the LS value for detecting cirrhosis were 90.9% and 88.4%, respectively. Conclusion: The LS value obtained from 2D-SWE with a propagation map provides excellent diagnostic performance in evaluating liver fibrosis stage, determined by histopathology.

• 말소리와 음성과학
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• 제15권3호
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• pp.17-25
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• 2023

이 논문은 국립국어원에서 배포한 한국인 대화 음성 말뭉치에서 화자의 성대의 진동을 나타내는 fundamental frequency(f0)값을 측정해서 한국인이 일상 대화를 할 때 f0값의 기초적인 통계자료를 살펴보고, 나이와 f0값의 분포는 어떤 관계를 보이는지를 조사했다. 연구자료 수집과 분석은 Praat과 R을 이용했고, 개인별 억양구마다 상자도를 구하고 사분위값을 활용하여 극단값을 제거하는 방법으로 최종 f0값 자료를 구했다. 그 결과 전체 한국인들의 f0값의 평균값은 185 Hz이고 중앙값은 187 Hz로 나왔다. 자료의 분포모양을 나타내는 왜도는 0.11의 정적분포를 보였고, 첨도는 -0.09로 정상분포에 거의 가까운 모양을 보였다. 일상대화의 피치값의 변화범위로는 238 Hz로 나타났다. 남녀 간의 f0값의 차이는 남성의 중앙값 114 Hz의 거의 두 배에 해당하는 199 Hz가 여성의 중앙값으로 나타났고 t검증결과 유의미한 차이를 보였다. 분포모양을 나타내는 왜도는 남성이 1.24이었고, 여성은 그것의 반에 해당하는 0.58이었다. 첨도는 남녀집단 각각 5.21과 3.88로 나타나 남성의 값이 34% 정도 더 뾰족한 모양을 보였다. 연령대별로는 남녀집단을 합하여 볼 때, 나이가 들수록 f0값이 서서히 내려가는 경향을 보였다. 연령대별 f0중앙값과 나이 간의 회귀분석을 실행한 결과 기울기가 남성집단에서는 0.15, 여성집단에서는 -0.586으로 서로 반대되는 경향을 기록했다. 결론적으로, 대규모 참여자가 녹음한 대화 음성에서 한국인의 집단별 연령별 다양한 f0분포를 규명할 수 있지만, 나이와 f0관계는 더 정밀한 자료수집이 필요함을 알 수 있었다.

• 동력기계공학회지
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• 제9권3호
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• pp.5-9
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• 2005

A study on the performance and exhaust emissions of diesel engine with reducing exhaust gas temperature is performed experimentally. In this paper, experiments are performed at engine speed 2200rpm, 2600rpm and load 0%, 25%, 50%, 75% and 100% by test engine with F.W. cooler passing through exhaust gas. Main measured & analyzed parameters are exhaust gas temperature, specific fuel consumption, NOx and soot emissions etc. The obtained conclusions are as follows. (1) Specific fuel consumption is the least value at load 75% and it is decreased 1.5% after remodeling F.W. cooler. (2) NOx emission is the most value at load 100% and it is increased 30.1% after remodeling F.W. cooler. (3) Soot emission is the most value at load 100% and it is decreased 20.0% after remodeling F.W. cooler.