• Title/Summary/Keyword: Uniform convergence

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HÖLDER CONVERGENCE OF THE WEAK SOLUTION TO AN EVOLUTION EQUATION OF p-GINZBURG-LANDAU TYPE

  • Lei, Yutian
    • Journal of the Korean Mathematical Society
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    • v.44 no.3
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    • pp.585-603
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    • 2007
  • The author studies the local $H\ddot{o}lder$ convergence of the solution to an evolution equation of p-Ginzburg-Landau type, to the heat flow of the p-harmonic map, when the parameter tends to zero. The convergence is derived by establishing a uniform gradient estimation for the solution of the regularized equation.

Asymptotic Theory for Multi-Dimensional Mode Estimator

  • Kim, Jean-Kyung
    • Journal of the Korean Statistical Society
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    • v.23 no.2
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    • pp.251-269
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    • 1994
  • In this paper we extend Kim and Pollard's cube root asymptotics to other rates of convergence, to establish an asymptotic theory for a multidimensional mode estimator based on uniform kernel with shrinking bandwidths. We obtain rates of convergence depending on shrinking rates of bandwidth and non-normal limit distributions. Optimal decreasing rates of bandwidth are discussed.

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STRONG CONVERGENCE FOR WEIGHTED SUMS OF FUZZY RANDOM VARIABLES

  • Kim, Yun-Kyong
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.10a
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    • pp.183-188
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    • 2003
  • In this paper, we establish some results on strong convergence for weighted sums of uniformly integrable fuzzy random variables taking values in the space of upper-semicontinuous fuzzy sets in R$^{p}$.

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Optical Illumination System Design for LED Masthead Navigation Light (LED 광원을 이용한 마스트 항해등 조명광학계 개발)

  • Maeng, Pil-Jae;Jang, Jae-Hyeon;Kim, Kun-Yul;Yu, Young-Moon;Kim, Jong-Su;Kim, Jong-Tae
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.28 no.8
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    • pp.24-31
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    • 2014
  • This paper dealt with the LED optical illumination system design for the Masthead navigation light to replace halogen lamps. We made Fresnel lens satisfy luminous intensity distribution of "Convention on the International Regulation for Preventing Collisions at Sea(COLREG)". The optical system is designed by classifying three parts: light source, lens, and cut off plate. The source of light has been made to have the uniform horizontal and vertical light distribution by placing 6 LEDs at intervals of $54^{\circ}$, and as the cylindrical Fresnel lens, the lens has been designed to achieve the uniform horizontal and vertical light distribution in the range of plain light. Finally, the cover has been designed to block the light from the outside of plain light and ultimately met the standards for light distribution of navigation lights. In addition, the validity of design has been verified with manufacturing a trial product.

Machinability Evaluation of Inconel 718 Material Using Indirect Cooling System (간접냉각시스템을 이용한 인코넬 718소재의 가공성 평가)

  • Kim, Jin-Hyeong;Lee, Yeo-Wool;Park, Seong-Hwan;Lee, Dong-Jin;Kang, Myungchang
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.18 no.2
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    • pp.96-101
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    • 2019
  • This paper presents a machinability evaluation of Inconel 718 material when using a new uniform-temperature indirect cooling method that incorporates constant-pressure liquid nitrogen (LN2). The flank wear of a TiAlN coated tool used with this indirect cooling system was much lower than that of the tool used with dry machining under all machining conditions. Also, the surface roughness resulting from machining with this indirect method was far less than that of a dry machined surface after the same cutting time. Reduced heat generation and uniform temperature in turning operations play important roles in tool life and surface quality.

Study of Facial Expression Recognition using Variable-sized Block (가변 크기 블록(Variable-sized Block)을 이용한 얼굴 표정 인식에 관한 연구)

  • Cho, Youngtak;Ryu, Byungyong;Chae, Oksam
    • Convergence Security Journal
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    • v.19 no.1
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    • pp.67-78
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    • 2019
  • Most existing facial expression recognition methods use a uniform grid method that divides the entire facial image into uniform blocks when describing facial features. The problem of this method may include non-face backgrounds, which interferes with discrimination of facial expressions, and the feature of a face included in each block may vary depending on the position, size, and orientation of the face in the input image. In this paper, we propose a variable-size block method which determines the size and position of a block that best represents meaningful facial expression change. As a part of the effort, we propose the way to determine the optimal number, position and size of each block based on the facial feature points. For the evaluation of the proposed method, we generate the facial feature vectors using LDTP and construct a facial expression recognition system based on SVM. Experimental results show that the proposed method is superior to conventional uniform grid based method. Especially, it shows that the proposed method can adapt to the change of the input environment more effectively by showing relatively better performance than exiting methods in the images with large shape and orientation changes.

Exploiting Static Non-Uniform Cache Architectures for Hard Real-Time Computing

  • Ding, Yiqiang;Zhang, Wei
    • Journal of Computing Science and Engineering
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    • v.9 no.4
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    • pp.177-189
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    • 2015
  • High-performance processors using Non-Uniform Cache Architecture (NUCA) are increasingly used to deal with the growing wire delays in multicore/manycore processors. Due to the convergence of high-performance computing with embedded computing, NUCA caches are expected to benefit high-end embedded systems as well. However, for real-time systems that use multicore processors with NUCA caches, it is crucial to bound worst-case execution time (WCET) accurately and safely. In this paper, we developed a WCET analysis approach by considering the effect of static NUCA caches on WCET. We compared the WCET in real-time applications with different topologies of static NUCA caches. Our experimental results demonstrated that the static NUCA cache could improve the worst-case performance of realtime applications using multicore processor compared to the cache with uniform access time.