• 제목/요약/키워드: convergence rates

검색결과 610건 처리시간 0.024초

A KOROVKIN TYPE APPROXIMATION THEOREM FOR DOUBLE SEQUENCES OF POSITIVE LINEAR OPERATORS OF TWO VARIABLES IN A-STATISTICAL SENSE

  • Demirci, Kamil;Dirik, Fadime
    • 대한수학회보
    • /
    • 제47권4호
    • /
    • pp.825-837
    • /
    • 2010
  • In this paper, we obtain a Korovkin type approximation theorem for double sequences of positive linear operators of two variables from $H_w$ (K) to C (K) via A-statistical convergence. Also, we construct an example such that our new approximation result works but its classical case does not work. Furthermore, we study the rates of A-statistical convergence by means of the modulus of continuity.

ON A SIMPLE HIGH ORDER NUMERICAL DIFFERENTIATION USING THE LAGRANGE INTERPOLATION

  • HAHM N.;YANG M.;HONG B. I.
    • Journal of applied mathematics & informatics
    • /
    • 제19권1_2호
    • /
    • pp.527-535
    • /
    • 2005
  • Numerical differentiation is one of the main topics which have been studied by many researchers. If we use the forward difference scheme or the centered difference scheme, the convergence rates to the derivative are O(h) and O($h^2$), respectively. In this paper, using the Lagrange Interpolation, we construct a simple high order numerical differentiation scheme which has the convergence rate O($h^{2k}$) if we have 2k+1 equally spaced nodes. Our scheme is constructive.

Convergence studies on static and dynamic analysis of beams by using the U-transformation method and finite difference method

  • Yang, Y.;Cai, M.;Liu, J.K.
    • Structural Engineering and Mechanics
    • /
    • 제31권4호
    • /
    • pp.383-392
    • /
    • 2009
  • The static and dynamic analyses of simply supported beams are studied by using the U-transformation method and the finite difference method. When the beam is divided into the mesh of equal elements, the mesh may be treated as a periodic structure. After an equivalent cyclic periodic system is established, the difference governing equation for such an equivalent system can be uncoupled by applying the U-transformation. Therefore, a set of single-degree-of-freedom equations is formed. These equations can be used to obtain exact analytical solutions of the deflections, bending moments, buckling loads, natural frequencies and dynamic responses of the beam subjected to particular loads or excitations. When the number of elements approaches to infinity, the exact error expression and the exact convergence rates of the difference solutions are obtained. These exact results cannot be easily derived if other methods are used instead.

신경망 학습 변수의 시변 제어에 관한 연구 (A study on time-varying control of learning parameters in neural networks)

  • 박종철;원상철;최한고
    • 융합신호처리학회 학술대회논문집
    • /
    • 한국신호처리시스템학회 2000년도 추계종합학술대회논문집
    • /
    • pp.201-204
    • /
    • 2000
  • This paper describes a study on the time-varying control of parameters in learning of the neural network. Elman recurrent neural network (RNN) is used to implement the control of parameters. The parameters of learning and momentum rates In the error backpropagation algorithm ate updated at every iteration using fuzzy rules based on performance index. In addition, the gain and slope of the neuron's activation function are also considered time-varying parameters. These function parameters are updated using the gradient descent algorithm. Simulation results show that the auto-tuned learning algorithm results in faster convergence and lower system error than regular backpropagation in the system identification.

  • PDF

유선 메시 구조에서의 절체 성능 향상을 위한 네트워크 설계 기법 (Topology Design Optimization for Improving Fail-over Performance in Wired Mesh Network)

  • 황종수;장은정;이원오;김종혁;김희언
    • 대한임베디드공학회논문지
    • /
    • 제14권4호
    • /
    • pp.165-175
    • /
    • 2019
  • Networks use relatively slow heartbeat mechanisms, usually in routing protocols, to detect failures when there is no hardware signaling to help out. The time to detect failures available in the existing protocols is no better than a second, which is far too long for some applications and represents a great deal of lost data at 10 Gigabit rates. We compare the convergence time of routing protocol applying Bidirectional Forwarding Detection (BFD) protocol in wired mesh network topology. This paper suggests the combinations of protocols improving fail-over performance. Through the performance analysis, we contribute to reduce convergence time when system is fail-over.

Microstructural, mechanical, and electrochemical analysis of carbon doped AISI carbon steels

  • Muhammad Ishtiaq;Aqil Inam;Saurabh Tiwari;Jae Bok Seol
    • Applied Microscopy
    • /
    • 제52권
    • /
    • pp.10.1-10.15
    • /
    • 2022
  • The effect of carbon doping contents on the microstructure, hardness, and corrosion properties of heat-treated AISI steel grades of plain carbon steel was investigated in this study. Various microstructures including coarse ferrite-pearlite, fine ferrite-pearlite, martensite, and bainite were developed by different heat treatments i.e. annealing, normalizing, quenching, and austempering, respectively. The developed microstructures, micro-hardness, and corrosion properties were investigated by a light optical microscope, scanning electron microscope, electromechanical (Vickers Hardness tester), and electrochemical (Gamry Potentiostat) equipment, respectively. The highest corrosion rates were observed in bainitic microstructures (2.68-12.12 mpy), whereas the lowest were found in the fine ferritic-pearlitic microstructures (1.57-6.36 mpy). A direct correlation has been observed between carbon concentration and corrosion rate, i.e. carbon content resulted in an increase in corrosion rate (2.37 mpy for AISI 1020 to 9.67 mpy for AISI 1050 in annealed condition).

수증기 유량제어에 따른 피치계 활성탄소섬유 비표면적 특성에 대한 연구 (Study on the Manufacture and Characteristics of Pitch-Based Activated Carbon Fibers Using Steam Activation)

  • 신해름;여승준;노우승;김만태
    • 한국산업융합학회 논문집
    • /
    • 제26권6_3호
    • /
    • pp.1333-1339
    • /
    • 2023
  • To produce activated carbon fibers, the process is carried out through either physical activation method or chemical activation method. In this study, we present the results regarding the characteristics of activated carbon fibers manufactured under various conditions through the quantitative control of steam. The yield after activation indicates a decreasing trend with the increase in steam quantity and activation time. Additionally, specific surface area characteristics exhibit variations based on activation time and steam flow rate. The SEM analysis results reveal that higher steam flow rates lead to the presence of both mesopores and macropores on the surface of activated carbon fibers (ACF).

제주도의 장애인 고용 부진에 대한 원인 분석과 개선 방향성 제시 (Analysis of the Causes of Low Employment Rates among People with Disabilities in Jeju Island and Recommendations for Improvement)

  • 이수빈;백재순;김성진
    • 한국컴퓨터정보학회:학술대회논문집
    • /
    • 한국컴퓨터정보학회 2024년도 제69차 동계학술대회논문집 32권1호
    • /
    • pp.167-168
    • /
    • 2024
  • 본 연구에서는 장애인 고용에 대한 중요성과 장애인 고용률 증진의 개선 방안 제시를 목적으로 하며, 특정 지역에 대한 장애인 고용률 부진에 대하여 분석하였다. 제주도에 대한 장애인 고용률은 해당 지역의 고용률에 비해 상당히 부진한 상황이다. 이러한 문제의 원인을 확인하고 개선하기 위한 방안을 찾아보았으며 분석 결과 제주도에는 장애인에게 적합하지 못한 산업이 주를 이루어 해당 사업장에서 일자리를 구하기 어려운 상황인 것이 가장 큰 원인이었다. 다른 원인으로는 장애인 미고용시의 부담금 납부에 대한 대상이 아니거나 근무환경의 유해함이 뒤를 이었다. 해당 지역의 장애인 고용 증진을 위해서 정책의 개선이 필수적인 것으로 보인다.

  • PDF

FO-WLP (Fan Out-Wafer Level Package) 차세대 반도체 Packaging용 Isocyanurate Type Epoxy Resin System의 경화특성연구 (Cure Properties of Isocyanurate Type Epoxy Resin Systems for FO-WLP (Fan Out-Wafer Level Package) Next Generation Semiconductor Packaging Materials)

  • 김환건
    • 반도체디스플레이기술학회지
    • /
    • 제18권1호
    • /
    • pp.65-69
    • /
    • 2019
  • The cure properties of ethoxysilyl diglycidyl isocyanurate(Ethoxysilyl-DGIC) and ethylsilyl diglycidyl isocyanurate (Ethylsilyl-DGIC) epoxy resin systems with a phenol novolac hardener were investigated for anticipating fan out-wafer level package(FO-WLP) applications, comparing with ethoxysilyl diglycidyl ether of bisphenol-A(Ethoxysilyl-DGEBA) epoxy resin systems. The cure kinetics of these systems were analyzed by differential scanning calorimetry with an isothermal approach, and the kinetic parameters of all systems were reported in generalized kinetic equations with diffusion effects. The isocyanurate type epoxy resin systems represented the higher cure conversion rates comparing with bisphenol-A type epoxy resin systems. The Ethoxysilyl-DGIC epoxy resin system showed the highest cure conversion rates than Ethylsilyl-DGIC and Ethoxysilyl-DGEBA epoxy resin systems. It can be figured out by kinetic parameter analysis that the highest conversion rates of Ethoxysilyl-DGIC epoxy resin system are caused by higher collision frequency factor. However, the cure conversion rate increases of the Ethylsilyl-DGEBA comparing with Ethoxysilyl-DGEBA are due to the lower activation energy of Ethylsilyl-DGIC. These higher cure conversion rates in the isocyanurate type epoxy resin systems could be explained by the improvements of reaction molecule movements according to the compact structure of isocyanurate epoxy resin.

Updates on parasite infection prevalence in the Joseon period based on parasitological studies of human coprolites isolated from archaeological sites in the cities of Euijeongbu, Gumi, and Wonju

  • Chang Seok Oh;Jong-Yil Chai;Sori Min;Kyong Taek Oh;Jeonghwan Seol;Mi Kyung Song;Dong Hoon Shin;Min Seo
    • Parasites, Hosts and Diseases
    • /
    • 제61권1호
    • /
    • pp.89-93
    • /
    • 2023
  • Parasite infection rates estimated by examining ancient coprolites can provide insights into parasitism in Joseon society. Using newly discovered Joseon period cases is essential to regularly update the parasite infection rates and reinforce the reliability of our previous estimations. In the present study, we investigated parasite infections in Joseon coprolites newly isolated from the cities of Euijeongbu, Gumi, and Wonju. We then updated the overall parasite infection rates of Joseon period samples (n= 30) as follows: 86.7% (26/30) for Trichuris trichiura, 56.7% (17/30) for Ascaris lumbricoides, 30.0% (9/30) for Clonorchis sinensis, and 30.0% (9/30) for Paragonimus westermani. The parasite infection rates in the Joseon society, estimated through coprolite examination, were very similar to those determined previously despite the addition of new cases to the existing data pool.