• Title/Summary/Keyword: convergence section

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On Classical Studies for Summability and Convergence of Double Fourier Series (이중 푸리에 급수의 총합가능성과 수렴성에 대한 고전적인 연구들에 관하여)

  • Lee, Jung Oh
    • Journal for History of Mathematics
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    • v.27 no.4
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    • pp.285-297
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    • 2014
  • G. H. Hardy laid the foundation of classical studies on double Fourier series at the beginning of the 20th century. In this paper we are concerned not only with Fourier series but more generally with trigonometric series. We consider Norlund means and Cesaro summation method for double Fourier Series. In section 2, we investigate the classical results on the summability and the convergence of double Fourier series from G. H. Hardy to P. Sjolin in the mid-20th century. This study concerns with the $L^1(T^2)$-convergence of double Fourier series fundamentally. In conclusion, there are the features of the classical results by comparing and reinterpreting the theorems about double Fourier series mutually.

A Brief Study on Stanojevic's Works on the $\mathfrak{L}^1$-Convergence (Stanojevic의 푸리에 급수의 $\mathfrak{L}^1$-수렴성 연구의 소 계보 고찰)

  • Lee, Jung Oh
    • Journal for History of Mathematics
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    • v.26 no.2_3
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    • pp.163-176
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    • 2013
  • This study concerns Stanojevic's academic works on the $\mathfrak{L}^1$-convergence of Fourier series from 1973 to 2002. We review his academic works. Also, we briefly investigate a simple academic lineage for the researchers of $\mathfrak{L}^1$-convergence of Fourier series until 2012. First, we introduce the classical lineage of the researchers for $\mathfrak{L}^1$-convergence Fourier series in section 2. Second, we investigate the backgrounds of Stanojevic's study at Belgrade University and University of Missouri-Rolla respectively. Finally, we compare and consider the $\mathfrak{L}^1$-convergence theorems of Stanojevic's results from 1973 to 2002 successively. In addition, we compose a the simple lineage of $\mathfrak{L}^1$-convergence of Fourier series from 1973 to 2012.

The Convergence Design for Stiffness and Structure Advancement of Automotive Body (승용차 차체의 강도 구조 개선을 위한 융합설계)

  • Lee, Jeong-Ick
    • Journal of the Korea Convergence Society
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    • v.8 no.4
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    • pp.189-197
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    • 2017
  • In the design of an automotive structural component, one of the more important tasks for a design engineer is to determine the life of the component and to ensure that the component will not fail prematurely. In order to accomplish this, a design engineer will first use simple section analysis to come up with a section shape in the concept design stage and use more advanced analysis for stress level. At this stage, the analysis should focus on understanding overall behavior in terms of load paths and gross stress levels. A model that is adequate for a stiffness analysis of the structure will usually provide an adequate level of stress information in the design process. To perform a detailed stress analysis, the structure models must have the detailed local areas such as stress concentrations or force(or displacement) distributions. This paper is to present the design considerations for the stress analysis of automotive structure.

A Study on Personal Experience Knowledge Evaluation Model for Knowledge Service (지식서비스를 위한 개인경험지식 분석 평가 모델 연구)

  • Kim, Yu-Doo;Joo, In-Hak;Park, Yun-Kyung;Moon, Il-Young;Kwon, Oh-Young
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.17 no.8
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    • pp.1865-1872
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    • 2013
  • The social network services are grown rapidly through dissemination of smart devices. Therefore, increasing the data exponentially because many people use web services. Using these big data, it will be needed study of providing customized knowledge. So in this paper, we had collected data of 40 people for implementation of knowledge service using big data during one month. Based on these data, we had inferred information of location and moving type, and evaluated accuracy. Through that we had studied personal experience knowledge evaluation model for knowledge service.

A Simple Distillation Process Produce Fuel from Plastic Waste using Incorporate Heat Source

  • Thawichsri, Kosart;nilnont, Wanich
    • International journal of advanced smart convergence
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    • v.4 no.1
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    • pp.127-136
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    • 2015
  • This paper is a study of a simple distillation process. Its objective is to compare fuel production from plastic waste, its data collecting is from the factory and simple data calculated a suitable evaluation on the simple distillation plant built before calculation. The experiment with a simple distillation process is separated into three sections. The first section is a simple distillation process of distillation producing diesel using heat source by biomass. The second section is distillation process which produces fuel using heat source by burner. The third section uses heat source by burner incorporate with biomass. The experiment reveals that the result of the second section is the most efficient. In comparison with the experiments and the simple calculation, the result on the efficiency of work has error less than 5% and it is sufficient for the next experimental process. Thus, the study and design on a simple distillation process produces fuel from plastic waste has to concern mainly on design heat exchangers, flow rate and optimized temperature. Further study on this plant can be developed throughout the county due to its low cost and efficiency.

Three-dimensional Vibration Analysis of Circular Rings with an Elliptical or Circular Cross-section (타원형 또는 원형 단면을 가진 원형 링의 3차원적 진동해석)

  • Shim, Hyun-Ju;Woo, Ha-Young;Kang, Jae-Hoon
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.16 no.10 s.115
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    • pp.1024-1035
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    • 2006
  • A three-dimensional (3-D) method of analysis is presented for determining the free vibration frequencies and mode shapes of thick, complete (circumferentially closed), circular rings with an elliptical or circular cross-section. Displacement components $u_r,\;u_\theta\;and\;u_z$ in the radial, circumferential, and axial directions, respectively, are taken to be periodic in ${\theta}$ and in time, and algebraic polynomials in the r and z directions. Potential (strain) and kinetic energies of the circular rings are formulated, and upper bound values of the frequencies are obtained by minimizing the frequencies. As the degree of the polynomials is increased, frequencies converge to the exact values. Convergence to four-digit exactitude is demonstrated for the first five frequencies of the rings. Novel numerical results are presented for the circular rings having an elliptical cross-section based upon 3-D theory. Comparisons are also made between the frequencies from the present 3-D Ritz method and ones obtained from thin and thick ring theories, experiments, and another 3-D method.

BASIS WIGHT PROFILE FUZZY CONTROL FOR PAPER MACHINES

  • Sasaki, Takashi
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.1365-1370
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    • 1990
  • We have developed a new fuzzy control method for paper machine basis weight profile. The conventional linear control method has not yielded good results on some machines. This new control method, however, realizes long-term stability and convergence of the profile as good or better than that achieved under manual control by an operator.

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LOCAL HOLDER PROPERTY AND ASYMPTOTIC SELF-SIMILAR PROCESS

  • Kim, Joo-Mok
    • Journal of applied mathematics & informatics
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    • v.12 no.1_2
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    • pp.385-393
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    • 2003
  • Let Y(t) be a stochastic integral process represented by Brownian motion. We show that YHt (t) is continuous in t with probability one for Molder function Ht of exponent ${\beta}$ and finally we derive asymptotic self-similar process YM (t) which converges to Yw (t).

A Study on a Non-Voice Section Detection Model among Speech Signals using CNN Algorithm (CNN(Convolutional Neural Network) 알고리즘을 활용한 음성신호 중 비음성 구간 탐지 모델 연구)

  • Lee, Hoo-Young
    • Journal of Convergence for Information Technology
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    • v.11 no.6
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    • pp.33-39
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    • 2021
  • Speech recognition technology is being combined with deep learning and is developing at a rapid pace. In particular, voice recognition services are connected to various devices such as artificial intelligence speakers, vehicle voice recognition, and smartphones, and voice recognition technology is being used in various places, not in specific areas of the industry. In this situation, research to meet high expectations for the technology is also being actively conducted. Among them, in the field of natural language processing (NLP), there is a need for research in the field of removing ambient noise or unnecessary voice signals that have a great influence on the speech recognition recognition rate. Many domestic and foreign companies are already using the latest AI technology for such research. Among them, research using a convolutional neural network algorithm (CNN) is being actively conducted. The purpose of this study is to determine the non-voice section from the user's speech section through the convolutional neural network. It collects the voice files (wav) of 5 speakers to generate learning data, and utilizes the convolutional neural network to determine the speech section and the non-voice section. A classification model for discriminating speech sections was created. Afterwards, an experiment was conducted to detect the non-speech section through the generated model, and as a result, an accuracy of 94% was obtained.