• 제목/요약/키워드: dual solutions

검색결과 153건 처리시간 0.022초

MULTIOBJECTIVE SECOND-ORDER NONDIFFERENTIABLE SYMMETRIC DUALITY INVOLVING (F, $\alpha$, $\rho$, d)-CONVEX FUNCTIONS

  • Gupta, S.K.;Kailey, N.;Sharma, M.K.
    • Journal of applied mathematics & informatics
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    • 제28권5_6호
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    • pp.1395-1408
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    • 2010
  • In this paper, a pair of Wolfe type second-order nondifferentiable multiobjective symmetric dual program over arbitrary cones is formulated. Weak, strong and converse duality theorems are established under second-order (F, $\alpha$, $\rho$, d)-convexity assumptions. An illustration is given to show that second-order (F, $\alpha$, $\rho$, d)-convex functions are generalization of second-order F-convex functions. Several known results including many recent works are obtained as special cases.

Effect of Electrodeposition Condition on GMR Co/Cu Multilayers

  • Rheem, Young-Woo;Yoo, Bong-Young
    • Journal of Magnetics
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    • 제12권3호
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    • pp.124-128
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    • 2007
  • Co/Cu GMR multilayers were electrodeposited from various electrolytes using the dual bath technique to achieve high sensitive GMR multilayers. GMR ratio and sensitivity were strongly influenced by solution compositions and electrodeposition parameters where GMR and sensitivity of 12% and 0.052%/Oe were achieved from pyrophosphate baths. The effect of plating conditions on properties of Co/Cu multilayers may be attributed to crystallinity and grain size of deposits, and the ability of plating solutions to deposit contiguous films at lower nano thicknesses.

한국의 가임여성이 저출산에 미치는 영향연구 (A Study on the Effects of Fertile Women on the Low Fertility in Korea)

  • 공명숙
    • 산업융합연구
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    • 제13권1호
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    • pp.25-40
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    • 2015
  • The aim of this study is to a study on the effects of fertile women on the low fertility in Korea. It is designed to research a model and established hypothesis with emphasis on major variables based on theoretical discussions. However, the result of the study is as follows. Firstly, this brought in delivery avoid phenomenon thus resulting in lower delivery phenomenon. The government should propose reasonable solutions to persuade female personal value and important elements of delivery rate at the same time. Secondly, Patriarchal stereotypes weighting household labor to female traditionally pressures working female with double burden as dual stance of work and family worsen the delivery will. Such atmosphere within a family generates female with an ability to get pregnancy to avoid marriage and delivery. Lastly, the research has pointed out the delivery support policy as most ineffective policy among government policies. To solve this problem, the government policy to recover delivery rate must be reviewed continuously and to be exercised immediately.

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HYBRIDIZABLE DISCONTINUOUS GALERKIN METHOD FOR ELLIPTIC EQUATIONS WITH NONLINEAR COEFFICIENTS

  • MINAM, MOON
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제26권4호
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    • pp.244-262
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    • 2022
  • In this paper, we analyze the hybridizable discontinuous Galerkin (HDG) method for second-order elliptic equations with nonlinear coefficients, which are used in many fields. We present the HDG method that uses a mixed formulation based on numerical trace and flux. Under assumptions on the nonlinear coefficient and H2-regularity for a dual problem, we prove that the discrete systems are well-posed and the numerical solutions have the optimal order of convergence as a mesh parameter. Also, we provide a matrix formulation that can be calculated using an iterative technique for numerical experiments. Finally, we present representative numerical examples in 2D to verify the validity of the proof of Theorem 3.10.

Improving Transformer with Dynamic Convolution and Shortcut for Video-Text Retrieval

  • Liu, Zhi;Cai, Jincen;Zhang, Mengmeng
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제16권7호
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    • pp.2407-2424
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    • 2022
  • Recently, Transformer has made great progress in video retrieval tasks due to its high representation capability. For the structure of a Transformer, the cascaded self-attention modules are capable of capturing long-distance feature dependencies. However, the local feature details are likely to have deteriorated. In addition, increasing the depth of the structure is likely to produce learning bias in the learned features. In this paper, an improved Transformer structure named TransDCS (Transformer with Dynamic Convolution and Shortcut) is proposed. A Multi-head Conv-Self-Attention module is introduced to model the local dependencies and improve the efficiency of local features extraction. Meanwhile, the augmented shortcuts module based on a dual identity matrix is applied to enhance the conduction of input features, and mitigate the learning bias. The proposed model is tested on MSRVTT, LSMDC and Activity-Net benchmarks, and it surpasses all previous solutions for the video-text retrieval task. For example, on the LSMDC benchmark, a gain of about 2.3% MdR and 6.1% MnR is obtained over recently proposed multimodal-based methods.

유한요소해에 기초한 원뿔형 압입 물성평가법 (A Conical Indentation Technique Based on FEA Solutions for Property Evaluation)

  • 현홍철;김민수;이진행;이형일
    • 대한기계학회논문집A
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    • 제33권9호
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    • pp.859-869
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    • 2009
  • 물성치와 하중-변위곡선을 일대일 대응 시킬 수 있는 함수를 생성함으로써, 미지 재료에 대한 압입시험 데이터로부터 바로 재료물성을 찾는 압입물성평가 기법을 제시했다. 원뿔형 압입 유한요소해석으로 압입자 중심각이 압입 하중-변위 곡선에 주는 영향을 살펴 보았다. 이로부터 한 압입자 중심각에 대해 같은 Kick's law 계수 C를 갖는 두 재료들이 압입자 중심각이 변하면 서로 다른 C 값들을 가짐을 확인했다. 이어 영률, 항복강도, 변형경화지수와 하중-변위곡선 사이의 상관관계들을 분석하고, 항복변형률이 변형경화 지수와 더불어 중요한 변수임을 확인했다. 이 두 특성들을 바탕으로 이중원뿔형 압입 물성평가 수식들을 작성했다. 1회 압입 후 재료의 영률을 평가하고, 두 압입자를 이용해 얻은 하중-변위 곡선들로부터 곡률계수들을 구해 항복변형률과 변형경화 지수를 구했다. 제시된 물성평가법은 압입 하중-변위곡선들로부터, 압입자 물성과 선단반경에 상관없이, 평균오차 2% 내에서 재료 물성값들을 준다.

Microcantilever biosensor: sensing platform, surface characterization and multiscale modeling

  • Chen, Chuin-Shan;Kuan, Shu;Chang, Tzu-Hsuan;Chou, Chia-Ching;Chang, Shu-Wei;Huang, Long-Sun
    • Smart Structures and Systems
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    • 제8권1호
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    • pp.17-37
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    • 2011
  • The microcantilever (MCL) sensor is one of the most promising platforms for next-generation label-free biosensing applications. It outperforms conventional label-free detection methods in terms of portability and parallelization. In this paper, an overview of recent advances in our understanding of the coupling between biomolecular interactions and MCL responses is given. A dual compact optical MCL sensing platform was built to enable biosensing experiments both in gas-phase environments and in solutions. The thermal bimorph effect was found to be an effective nanomanipulator for the MCL platform calibration. The study of the alkanethiol self-assembly monolayer (SAM) chain length effect revealed that 1-octanethiol ($C_8H_{17}SH$) induced a larger deflection than that from 1-dodecanethiol ($C_{12}H_{25}SH$) in solutions. Using the clinically relevant biomarker C-reactive protein (CRP), we revealed that the analytical sensitivity of the MCL reached a diagnostic level of $1{\sim}500{\mu}g/ml$ within a 7% coefficient of variation. Using grazing incident x-ray diffractometer (GIXRD) analysis, we found that the gold surface was dominated by the (111) crystalline plane. Moreover, using X-ray photoelectron spectroscopy (XPS) analysis, we confirmed that the Au-S covalent bonds occurred in SAM adsorption whereas CRP molecular bindings occurred in protein analysis. First principles density functional theory (DFT) simulations were also used to examine biomolecular adsorption mechanisms. Multiscale modeling was then developed to connect the interactions at the molecular level with the MCL mechanical response. The alkanethiol SAM chain length effect in air was successfully predicted using the multiscale scheme.

전해질용액 기포탑에서 기포특성 (Bubble Properties in Bubble Columns with Electrolyte Solutions)

  • 유동준;임대호;전종설;양시우;강용
    • Korean Chemical Engineering Research
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    • 제54권4호
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    • pp.543-547
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    • 2016
  • 직경 0.152 m이고 높이 2.5 m인 전해질용액 기포탑에서 기포의 크기(chord length)와 상승속도 등 기포의 물성에 대해 고찰하였다. 기포의 크기와 상승속도는 이중저항탐침법을 사용하여 측정하였다. 기체와 액체의 유속 그리고 액상의 이온강도가 기포의 크기와 상승속도에 미치는 영향을 결정하였다. 기포의 크기는 기체의 유속이 증가함에 따라 증가하였으나 액체의 유속과 액상의 이온강도가 증가함에 따라서는 감소하였다. 기포의 상승속도는 기체의 유속이 증가함에 따라 증가하고 액상의 이온강도가 증가함에 따라 감소하였으나 액체유속의 변화에 따라서는 약한 최대값을 나타내었다. 기포의 크기와 상승속도는 운전변수들의 상관식으로 잘 나타낼 수 있었다.

Chelating and antibacterial properties of chitosan nanoparticles on dentin

  • del Carpio-Perochena, Aldo;Bramante, Clovis Monteiro;Duarte, Marco Antonio Hungaro;de Moura, Marcia Regina;Aouada, Fauze Ahmad;Kishen, Anil
    • Restorative Dentistry and Endodontics
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    • 제40권3호
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    • pp.195-201
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    • 2015
  • Objectives: The use of chitosan nanoparticles (CNPs) in endodontics is of interest due to their antibiofilm properties. This study was to investigate the ability of bioactive CNPs to remove the smear layer and inhibit bacterial recolonization on dentin. Materials and Methods: One hundred bovine dentin sections were divided into five groups (n = 20 per group) according to the treatment. The irrigating solutions used were 2.5% sodium hypochlorite (NaOCl) for 20 min, 17% ethylenediaminetetraacetic acid (EDTA) for 3 min and 1.29 mg/mL CNPs for 3 min. The samples were irrigated with either distilled water (control), NaOCl, NaOCl-EDTA, NaOCl-EDTA-CNPs or NaOCl-CNPs. After the treatment, half of the samples (n = 50) were used to assess the chelating effect of the solutions using portable scanning electronic microscopy, while the other half (n = 50) were infected intra-orally to examine the post-treatment bacterial biofilm forming capacity. The biovolume and cellular viability of the biofilms were analysed under confocal laser scanning microscopy. The Kappa test was performed for examiner calibration, and the non-parametric Kruskal-Wallis and Dunn tests (p < 0.05) were used for comparisons among the groups. Results: The smear layer was significantly reduced in all of the groups except the control and NaOCl groups (p < 0.05). The CNPs-treated samples were able to resist biofilm formation significantly better than other treatment groups (p < 0.05). Conclusions: CNPs could be used as a final irrigant during root canal treatment with the dual benefit of removing the smear layer and inhibiting bacterial recolonization on root dentin.

A Study of Electrospun PVDF on PET Sheet

  • Chanunpanich, Noppavan;Lee, Byung-Soo;Byun, Hong-Sik
    • Macromolecular Research
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    • 제16권3호
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    • pp.212-217
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    • 2008
  • PVDF ($Kynar^{(R)}$ 761) nanofibers were made by electrospinning with an external voltage of 6-10 kV, a traveling distance of 7-15 cm and a flow rate of 0.4-1 mL/h. Although the mean diameter of the fibers has not changed significantly, the conditions affected the change in diameter distribution. This was attributed to interactions, both attraction and repulsion, between the positive charges on the polymer solutions and the electrically grounded collector. Higher voltages and traveling distance increased the level of attraction between the positive charge on the polymer solution and the electrically grounded collector, resulting in a narrow diameter distribution, In addition, a high flow rate allowed a high population of uniformly charged solutions to travel to the grounded collector, which resulted in a narrow diameter distribution. The optimum conditions for electrospinning of PVDF in DMAc/acetone (3/7 by wt) were a collector voltage of 6 kV, a syringe tip to collector of 7 cm, a flux rate of 0.4 mL/h and 10 kV, 10 cm, 1 mL/h, Since PVDF is widely used as a filtration membrane, it was electrospun on a PET support with a rotating drum as a grounded collector. Surprisingly, some straight nanofibers were separated from the randomly deposited nanofibers. The straight nanofiber area was transparent, while the randomly deposited nanofiber area was opaque. Both straight nanofibers and aligned nanotibers could be obtained by manipulating the PET drum collector. These phenomena were not observed when the support was changed to an Al sheet. This suggests that a pseudo dual collector was generated on the PET sheet. No negative charge was created because the PET sheet was not a conductive material. However, less charge was created when the sheet was not perfectly attached to the metal drum. Hence, the nanotibers jumped from one grounded site to the nearest one, yielding a straight nanofiber.