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Flow Shop에서 준비시간이 작업순서에 종속적인 경우의 휴리스틱 알고리듬의 개발 (A Heuristic Algorithm for $n/m/D/F/F_{max}$)

  • 최성운
    • 산업경영시스템학회지
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    • 제8권11호
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    • pp.79-83
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    • 1985
  • This paper is to develop four heuristic algorithms for $n/m/D/F/F_{max}$. A study present numerical example for (H1) algorithm. Among the sequence generated, the best sequence is J2, J1, J6, J7, J4, J3, J5 and makespan is 528. The optimal makespan of this numerical example can be found as 528 as also, and the worst value of heuristic solution is only 7.2 % away from it.

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FRACTIONAL POLYA-SZEGÖ INEQUALITY

  • Park, Young Ja
    • 충청수학회지
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    • 제24권2호
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    • pp.267-271
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    • 2011
  • Let 0 < s < 1. For $f^{\ast}$ representing the symmetric radial decreasing rearrangement of f, we build up a fractional version of Polya-$Szeg{\ddot{o}}$ inequality: $${\int}_{\mathbb{R}^n}{\mid}(-\Delta)^{s/2}f^{\ast}(x){\mid}^2dx{\leq}{\int}_{\mathbb{R}^n}{\mid}(-\Delta)^{s/2}f(x){\mid}^2dx$$.

Effect of ferrule on the fracture resistance of mandibular premolars with prefabricated posts and cores

  • Kim, Ae-Ra;Lim, Hyun-Pil;Yang, Hong-So;Park, Sang-Won
    • The Journal of Advanced Prosthodontics
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    • 제9권5호
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    • pp.328-334
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    • 2017
  • PURPOSE. This study evaluated fracture resistance with regard to ferrule lengths and post reinforcement on endodontically treated mandibular premolars incorporating a prefabricated post and resin core. MATERIALS AND METHODS. One hundred extracted mandibular premolars were randomly divided into 5 groups (n=20): intact teeth (NR); endodontically treated teeth (ETT) without post (NP); ETT restored with a prefabricated post with ferrule lengths of either 0 mm (F0), 1 mm (F1), or 2 mm (F2). Prepared teeth were restored with metal crowns. A thermal cycling test was performed for 1,000 cycles. Loading was applied at an angle of 135 degrees to the axis of the tooth using a universal testing machine with a crosshead speed of 2.54 mm/min. Fracture loads were analyzed by one-way ANOVA and Tukey HSD test using a statistical program (${\alpha}=.05$). RESULTS. There were statistical differences in fracture loads among groups (P<.001). The fracture load of F2 ($237.7{\pm}83.4$) was significantly higher than those of NP ($155.6{\pm}74.3N$), F0 ($98.8{\pm}43.3N$), and F1 ($152.8{\pm}78.5N$) (P=.011, P<.001, and P=.008, respectively). CONCLUSION. Fracture resistance of ETT depends on the length of the ferrule, as shown by the significantly increased fracture resistance in the 2 mm ferrule group (F2) compared to the groups with shorter ferrule lengths (F0, F1) and without post (NP).

ON MULTI-JENSEN FUNCTIONS AND JENSEN DIFFERENCE

  • Cieplinski, Krzysztof
    • 대한수학회보
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    • 제45권4호
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    • pp.729-737
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    • 2008
  • In this paper we characterize multi-Jensen functions f : $V^n\;{\rightarrow}\;W$, where n is a positive integer, V, W are commutative groups and V is uniquely divisible by 2. Moreover, under the assumption that f : $\mathbb{R}\;{\rightarrow}\;\mathbb{R}$ is Borel measurable, we obtain representation of f (respectively, f, g, h : $\mathbb{R}\;{\rightarrow}\;\mathbb{R}$) such that the Jensen difference $$2f\;\(\frac{x\;+\;y}{2}\)\;-\;f(x)\;-\;f(y)$$ (respectively, the Pexider difference $$2f\;\(\frac{x\;+\;y}{2}\)\;-\;g(x)\;-\;h(y))$$ takes values in a countable subgroup of $\mathbb{R}$.

Prediction of Fatigue Life in 2024-73 Aluminum Using X-ray half-value breadth

  • Kim, Soon-Ho;Cho, Seok-Swoo;Park, Jung-Hyeon
    • International Journal of Precision Engineering and Manufacturing
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    • 제3권2호
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    • pp.78-86
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    • 2002
  • In general, X-ray diffraction method detects the changes of crystal lattice under material surface using the angle of diffraction 2$\theta$. This technique which deals with in the presented paper can be applied to a behavior on the slipped band or the micro crack cause to material degradation. The relation between half-value breadth and cycle numbers shows three stages, which consist of rapid decrease in the initial cycle, slight decrease in the middle cycle, and then rapid decrease in the final cycle. The ratio of half-value breadth has a constant value on B/B$\_$0/ - N diagram under the loading condition except early part of fatigue life. The ratio of half-value breadth B/B$\_$0/ - log N$\_$f/ with respect to number of cycle to failure N$\_$f/ has linear behavior on B/B$\_$0/ - log N$\_$f/ diagram. Therefore, the evaluation of fatigue life by the average gradient has much less mean error than the estimation of fatigue life by log B/B$\_$0/ - log N/N$\_$f/ relation.

APPROXIMATION OF CUBIC MAPPINGS WITH n-VARIABLES IN β-NORMED LEFT BANACH MODULE ON BANACH ALGEBRAS

  • Gordji, Majid Eshaghi;Khodaei, Hamid;Najati, Abbas
    • 대한수학회보
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    • 제48권5호
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    • pp.1063-1078
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    • 2011
  • Let M = {1, 2, ${\ldots}$, n} and let V = {$I{\subseteq}M:1{\in}I$}. Denote M\I by $I^c$ for $I{\in}V$. The goal of this paper is to investigate the solution and the stability using the alternative fixed point of generalized cubic functional equation $ \sum\limits_{I{\in}V}f(\sum\limits_{i{\in}I}a_ix_i-\sum\limits_{i{\in}I^c}a_ix_i)=2{^{n-2}{a_1}}\sum\limits_{i=2}^na_i^2[f(x_1+x_i)+f(x_1-x_i)]+2{^{n-1}{a_1}(a^2_1-\sum\limits_{i=2}^2a^2_i)f(x_1)$ in ${\beta}$-Banach modules on Banach algebras, where $a_1,{\ldots},a_n{\in}\mathbb{Z}{\backslash}\{0\}$ with $a_1{\neq}={\pm}1$ and $a_n=1$.

습식 합성법으로 제조한 3원계 페라이트의 $CO_2$분해 특성 연구 ($CO_2$Decomposition Properties of Ternary Ferrites Synthesized by the Wet Processing)

  • 안정률;배동식;김정식
    • 한국세라믹학회지
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    • 제37권10호
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    • pp.962-967
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    • 2000
  • 산소 결핍 페라이트 (oxygen deficient ferrites, ODF) MF $e_2$ $O_{4-}$$\delta$/는 약 30$0^{\circ}C$의 낮은 온도에서 온실가스중 하나인 $CO_2$를 C와 $O_2$로 분해시킨다. 본 연구에서는 $CO_2$분해 촉매로서 3원계 초미세 페라이트 N $i_{x}$Z $n_{1-x}$F $e_2$ $O_4$와 N $i_{x}$ $Co_{1-x}$F $e_2$ $O_4$를 수열합성법과 공침법 등의 습식 합성법으로 각각 합성하여 이들 분말의 특성과 $CO_2$분해 특성을 고찰하였다. 페라이트의 XRD 결과, 결정구조는 모두 전형적인 스피넬 구조로 동일하게 나타났다. BET 비표면적은 수열합성법으로 제조한 3원계 페라이트의 경우 110$m^2$/g 이상으로 공침법으로 제조한 페라이트보다 비교적 큰 값을 나타냈고 분말 입자크기 또한 약 10nm의 매우 미세한 분말을 얻을 수 있었다. 3원계 산소 결핍 페라이트의 $CO_2$분해 효율은 공침법으로 합성한 것보다 수열합성법으로 합성한 것이 더 우수하게 나타났으며, N $i_{x}$ $Co_{1-x}$F $e_2$ $O_{4-}$$\delta$/보다 N $i_{x}$Z $n_{1-x}$F $e_2$ $O_{4-}$$\delta$/가 우수한 것으로 나타났다.

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14N Mines Pulsed-ENDOR of Proximal Histidine and Heme of Aquometmyoglobin and Fluormetmyoglobin

  • Lee, Hong-In
    • Bulletin of the Korean Chemical Society
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    • 제23권12호
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    • pp.1769-1772
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    • 2002
  • Previous $^{19}F\;and\;^{1,2}H$ electron-nuclear double resonance (ENDOR) study of fluorometmyoglobin (MbF) in frozen-solution state provided sensitive tools sensing subtle structural changes of the heme that are not obtainable from X-ray. [Fann et al., J. Am. Chem. Soc. 1995, 117, 6019] Because of the intrinsic inhomogeneouse EPR line broadening effect of MbF in frozen-solution state, detection of the intrinsic inhomogeneouse EPR line broadening effect of MbF in frozen-solution state, detection of the electronic and geometrical changes of the heme ring itself and the proximal histidine by using $^{14}N$ CW ENDOR was interfered. In the present study, hyperfine-sensitive $^{14}N$ Mims ENDOR technique of pulsed-EPR was employed to probe the changes. With two different $\tau$ values of 128 and 196 ns, $^{14}N$ ENDOR signals of the heme and proximal histidine were completely resolved at $g'_{II}(=g_e=2)$. This study present that X-band $^{14}N$ Mims ENDOR sequence can sensitively detect the small changes of the spin densities and p orbital populations of the proximal and the heme nitrogens, caused by ligand and pH variation of the distal site.

SOME EXTENSION RESULTS CONCERNING ANALYTIC AND MEROMORPHIC MULTIVALENT FUNCTIONS

  • Ebadian, Ali;Masih, Vali Soltani;Najafzadeh, Shahram
    • 대한수학회보
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    • 제56권4호
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    • pp.911-927
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    • 2019
  • Let $\mathscr{B}^{{\eta},{\mu}}_{p,n}\;({\alpha});\;({\eta},{\mu}{\in}{\mathbb{R}},\;n,\;p{\in}{\mathbb{N}})$ denote all functions f class in the unit disk ${\mathbb{U}}$ as $f(z)=z^p+\sum_{k=n+p}^{\infty}a_kz^k$ which satisfy: $$\|\[{\frac{f^{\prime}(z)}{pz^{p-1}}}\]^{\eta}\;\[\frac{z^p}{f(z)}\]^{\mu}-1\| <1-{\frac{\alpha}{p}};\;(z{\in}{\mathbb{U}},\;0{\leq}{\alpha}<p)$$. And $\mathscr{M}^{{\eta},{\mu}}_{p,n}\;({\alpha})$ indicates all meromorphic functions h in the punctured unit disk $\mathbb{U}^*$ as $h(z)=z^{-p}+\sum_{k=n-p}^{\infty}b_kz^k$ which satisfy: $$\|\[{\frac{h^{\prime}(z)}{-pz^{-p-1}}}\]^{\eta}\;\[\frac{1}{z^ph(z)}\]^{\mu}-1\|<1-{\frac{\alpha}{p}};\;(z{\in}{\mathbb{U}},\;0{\leq}{\alpha}<p)$$. In this paper several sufficient conditions for some classes of functions are investigated. The authors apply Jack's Lemma, to obtain this conditions. Furthermore, sufficient conditions for strongly starlike and convex p-valent functions of order ${\gamma}$ and type ${\beta}$, are also considered.

일강우량과 24시간 강우량에 의한 강우강도식의 n식 결정 (Determining "n" Value of Rainfall Intensity-duration Formular Based on the Maximum 24 Hour Rainfall and the Daily Rainfall of a Designated Time)

  • 안상진;박영일
    • 물과 미래
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    • 제15권2호
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    • pp.23-32
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    • 1982
  • 한강수계의 32개 강우량관측지점에 7년간 오전 10시 일강우량과 임의 24시간 최대 강우량과의 관계를 506개 자료로서 분석한 것이다. 우리나라에서 널리 사용하고 있는 물부식의 n은 2/3이므로 한강수계에서도 이 n치가 2/3가 되는가를 검증하기 위한 것이다. 그 결과 ncl는 지형적인 영향을 많이 받고 있으며, 지역별 등에 n치선을 표시하였다. 일강우량은 y(%)=$$로서 표시되나, 일강우량이 200mm 이상이면 110%에 해당하는 것을 이용하면 안전측이다. 공공설계에서 강우강도-지속기간의 식은 r$$으로서 f는 y(%)를 100으로 기준한 것이다. 본 연구는 단기간강우자료를 사용한 것으로서 n 및 f 치의 정확한 산정을 위하여는 보다 많은 연우와 정밀한 값을 얻도록 노력해야 할 것이다.

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