• Kyungpook Mathematical Journal
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• 제49권1호
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• pp.31-39
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• 2009

Let $T_{\rho}$ be the generalized fractional integral operator associated to a function ${\rho}:(0,{\infty}){\rightarrow}(0,{\infty})$, as defined in [16]. For a function W on $\mathbb{R}^n$, we shall be interested in the boundedness of the multiplication operator $f{\mapsto}W{\cdot}T_{\rho}f$ on generalized Morrey spaces. Under some assumptions on ${\rho}$, we obtain an inequality for $W{\cdot}T_{\rho}$, which can be viewed as an extension of Olsen's and Kurata-Nishigaki-Sugano's results.

• 대한치과기공학회지
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• 제32권4호
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• pp.387-401
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• 2010

Purpose: The work of Dental technician which is part of national dental health, is more specialized recently. This research provides fundamental data from analyzing student's career consciousness according to needs of a career education. Here is the conclusion of the analysis about student's career consciousness, that is for a right choice of career. Methods: This study did questionnaire to a dental Laboratory Technology student who locate in Taegu. Question response student number was 570 people. Response contents analyzed to 506 people except imperfect questionnaire. Data used windows sas 8.0 program and did descriptive statistical analysis. Results: There is a meaningful difference in what they want to know about an occupation according to ages. (${\rho}$ < 0.01) All ages are similar to their occupational thinking, however they who are under twenties consider working environment. Most motives of an entrance are similar, there is a meaningful difference. (${\rho}$ < 0.05) According to a grade of college, there is a meaningful difference how to obtain informations of a career. (${\rho}$ < 0.05) Sophomores and juniors obtain information from seniors or family, however freshmen obtain from the internet because of an accessibility. There is a meaningful difference of a job meaning between men and women. (${\rho}$ < 0.01) Men are working for a means of living. But women give weight to a self-development. The older they grow, the more they know about their aptitude. Selecting subjects are different choosing time & motive. According to ages and where they are from, there is a meaningful difference how much know about their aptitude. (${\rho}$ < 0.05) Older Students know more than young students. Selecting subjects are different choosing time & motive. In accordance with a grade, ages, and where they are from, there are different degrees about how much know their interests. There is a meaningful difference of a choosing major period and choosing informations. (${\rho}$ < 0.01) And also there is a meaningful difference where they are from and why they enter to College. (${\rho}$ < 0.001) In accordance with a grade, ages, and where they are from, there are different degrees about how much know their aptitude. There is a meaningful difference of a choosing major period. (${\rho}$ < 0.01) And also there is a meaningful difference why they enter to College. (${\rho}$ < 0.001) Conclusion: Although we know that a career education is very important, however lots of students select a career without their aptitude & interest & character. We need to teach a career education systematically; considering students career consciousness, with a proper career guidance, cultivating career consciousness.

• Journal of applied mathematics & informatics
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• 제5권3호
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• pp.797-804
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• 1998

A pair of multiobjective generalized symmetric dual non-linear programming problems and weak strong and converse dual-ity theorems for these problems are established under generalized $\rho-(\eta,0)$-invexity assumptions. Several known results are obtained as special cases.

• 한국추진공학회:학술대회논문집
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• 한국추진공학회 2017년도 제48회 춘계학술대회논문집
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• pp.825-831
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• 2017

본 연구에서는 외부하중을 고려하여 Fulton과 Vasiliev가 제안한 돔형상 식을 적용하여 복합재 압력용기의 돔형상을 설계하고 해석하였다. 돔형상 설계변수로는 0.1 ~ 0.5 의 오프닝 반경비와 40kN ~ 200kN의 추력을 적용하고, 해석에는 상용 유한요소해석 프로그램인 ABAQUS를 사용하였다. 복합재 압력용기 내면과 외면의 섬유방향 변형률을 계산한 결과, Fulton 돔의 경우 ${\rho}_0$가 커질수록 변형률 기울기가 작아지고, Vasiliev 돔은 뚜렷한 경향성이 나타나지 않는다. 또한 ${\rho}_0{\leq}0.1$일 경우 모든 추력에서 Fulton 돔이 변형률 기울기가 더 큰 것을 확인 할 수 있었다. 0.1<${\rho}_0$<0.35인 경우 주어진 추력 범위에서 변형률 기울기가 역전되는 형상을 보이며, $0.35{\leq}{\rho}_0$에서는 모든 구역에서 Vasiliev 돔이 변형률 기울기가 더 크게 나타나 압력용기의 설계에 적용하는 것이 효과적이라고 판단된다. 또한 복합재 압력용기의 변형률 기울기로 인해 발생하는 수지균열을 고려한 돔형상 설계가 필수적이다.

• Structural Engineering and Mechanics
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• 제13권6호
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• pp.671-694
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• 2002

This paper presents theoretical investigation on the cross correlation between torsional vibration ($u_{\theta}$) and translation vibration ($u_x$) of asymmetrical structure under white noise excitation. The formula reveals that the cross correlation coefficient (${\rho}$) is a function of uncoupled frequency ratio (${\Omega}={\omega}_{\theta}/{\omega}_x$), eccentricity, and damping ratio (${\xi}$). Simulations involving acceleration records from fifteen different earthquakes show correlation coefficients results similar to the theoretical correlation coefficients. The uncoupled frequency ratio is the dominating parameter to ${\rho}$; generally, ${\rho}$ is positive for ${\omega}_{\theta}/{\omega}_x$ > 1.0, negative for ${\omega}_{\theta}/{\omega}_x$ < 1.0, and close to zero for ${\omega}_{\theta}/{\omega}_x$ = 1.0. When the eccentricity or damping ratio increases, ${\rho}$ increases moderately for small ${\Omega}$ (< 1.0) only. The relation among $u_x$, $u_{\theta}$ and corner displacement are best presented by ${\rho}$; a simple way to hand-calculate the theoretical dynamic corner displacements from $u_x$, $u_{\theta}$ and ${\rho}$ is proposed as an alternative to dynamic analysis.

• 대한수학회보
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• 제54권4호
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• pp.1141-1158
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• 2017

In this paper, we study the value distribution of the derivative of a Dirichlet L-function $L^{\prime}(s,{\chi})$ at the a-points ${\rho}_{a,{\chi}}={\beta}_{a,{\chi}}+i{\gamma}_{a,{\chi}}$ of $L^{\prime}(s,{\chi})$. We give an asymptotic formula for the sum $${\sum_{{\rho}_{a,{\chi}};0<{\gamma}_{a,{\chi}}{\leq}T}\;L^{\prime}({\rho}_{a,{\chi}},{\chi})X^{{\rho}_{a,{\chi}}}\;as\;T{\rightarrow}{\infty}$$, where X is a fixed positive number and ${\chi}$ is a primitive character mod q. This work continues the investigations of Fujii [4-6], $Garunk{\check{s}}tis$ & Steuding [8] and the authors [12].

• Bulletin of the Korean Chemical Society
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• 제32권10호
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• pp.3743-3747
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• 2011

Kinetic studies on the reactions of Y-S-aryl phenyl phosphonochloridothioates with X-pyridines have been carried out in MeCN at $55.0^{\circ}C$. The Hammett and Bronsted plots for substituent X variations in the nucleophiles are biphasic concave upwards with a break point at X = H. The Hammett plots for substituent Y variations in the substrates are biphasic concave upwards with a break point at Y = H, and the sign of ${\rho}_Y$ is changed from unusual negative (${\rho}_Y$ < 0) with the weaker electrophiles to positive (${\rho}_Y$ > 0) with the stronger electrophiles. The stepwise mechanism is proposed on the basis of the ${\rho}_X$, ${\beta}_X$, and ${\rho}_{XY}$ values as follows: a ratelimiting leaving group departure from the intermediate involving a frontside attack and product-like TS for the stronger nucleophiles and weaker electrophiles; a rate-limiting leaving group departure from the intermediate involving a backside attack and product-like TS for the weaker nucleophiles and electrophiles; a rate-limiting bond formation involving a frontside attack for the stronger nucleophiles and electrophiles; a rate-limiting bond formation involving a backside attack for the weaker nucleophiles and stronger electrophiles. The substituent effects of X and Y on the pyridinolysis mechanisms of $R_1R_2P$(=S)Cl-type substrates are discussed.

• Elastomers and Composites
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• 제38권3호
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• pp.235-242
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• 2003

이소프렌 고무(IR)로 개질된 천연고무계의 NR/CB 복합재료의 가교반응에 대하여 반응 도중의 전기적 성질 변화를 in-situ로 측정함으로서 주어진 샘플의 가교반응 특성을 연구하였다. 샘플의 전기적 성질이 가황반응이 진행되는 동안 샘플 내의 카본 블랙의 재정렬에 의해 연속적으로 변하기 때문에 샘플의 체적고유저항 값(${\rho}$)의 변화를 반응시간의 함수로 표시하였다. 이로부터, 반응온도에 따른 반응시작 안정화시간($t_i$), 최대반응속도 시간($t_p$), 및 이 때의 최대반응속도 체적고유저항값(${\rho}_p$)을 정의하여 이로부터 Arrhenius 도시를 이용한 해석을 시도하였다. 체적 고유저항값 ${\rho}$는 반응시작 전에는 ${\sim}10^8$ order의 높은 값을 보이다가 반응시작 후에 급격히 떨어지는 안정화 시간, $t_i$를 거친 후에 다시 최대반응속도를 보이는 $t_p$에서 피크를 보이며, 그 이후에는 단조 감소하여 일정한 값으로 수렴하는 것이 관찰되었다. 한편, 샘플의 반응온도가 높아질수록 $t_i$는 $1{\sim}2$분으로서 상대적으로 일정한 데 반하여, $t_p$는 점점 더 짧아져 $160^{\circ}C$의 반응온도에서는 3분 정도로까지 짧아지는 것이 관찰되었다. 또한 반응의 인가 주파수에 대한 변화로서, 약 1,000Hz이하의 저주파수에서는 상대적으로 낮은 활성화에너지($E_a$)값을 보였으나, 10,000Hz의 높은 측정주파수에서는 더 큰 $E_a$값을 나타냄으로서 반응온도변화에 민감함을 보여주었다.

• 상하수도학회지
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• 제33권2호
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• pp.111-119
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• 2019

Electro-coagulation process has been gained an attention recently because it could overcome the membrane fouling problems in MBR(Membrane bio-reactor). Effect of the key operational parameters in electro-coagulation, current density(${\rho}_i$) and contact time(t) on membrane fouling reduction was investigated in this study. A kinetic model for ${\rho}_i$ and t required to reduce the membrane fouling was suggested under different MLSS(mixed liquor suspended solids) concentration. Total 48 batch type experiments of electro-coagulations under different sets of current densities(2.5, 6, 12 and $24A/m^2$), contact times(0, 2, 6 and 12 hr) and MLSS concentration(4500, 6500 and 8500mg/L) were carried out. After each electro-coagulation under different conditions, a series of membrane filtration was performed to get information on how much of membrane fouling was reduced. The membrane fouling decreased as the ${\rho}_i$ and t increased but as MLSS decreased. Total fouling resistances, Rt (=Rc+Rf) were calculated and compared to those of the controls (Ro), which were obtained from the experiments without electro-coagulation. A kinetic approach for the fouling reduction rate (Rt/Ro) was carried out and three equations under different MLSS concentration were suggested: i) ${\rho}_i^{0.39}t=3.5$ (MLSS=4500 mg/L), ii) ${\rho}_i^{0.46}t=7.0$ (MLSS=6500 mg/L), iii) ${\rho}_i^{0.74}t=10.5$ (MLSS=8500 mg/L). These equations state that the product of ${\rho}_i$ and t needed to reduce the fouling in certain amounts (in this study, 10% of fouling reduction) is always constant.

• 대한수학회지
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• 제41권4호
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• pp.667-680
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• 2004

We generalize a theorem of W. Benz by proving the following result: Let $H_{\theta}$ be a half space of a real Hilbert space with dimension $\geq$ 3 and let Y be a real normed space which is strictly convex. If a distance $\rho$ > 0 is contractive and another distance N$\rho$ (N $\geq$ 2) is extensive by a mapping f : $H_{\theta}$ \longrightarrow Y, then the restriction f│$_{\theta}$ $H_{+}$$\rho$/2// is an isometry, where $H_{\theta}$＋$\rho$/2/ is also a half space which is a proper subset of $H_{\theta}$. Applying the above result, we also generalize a classical theorem of Beckman and Quarles.