• Title/Summary/Keyword: possible solutions

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A PRIORI ERROR ESTIMATES FOR THE FINITE ELEMENT APPROXIMATION OF AN OBSTACLE PROBLEM

  • Ryoo, Cheon-Seoung
    • Journal of applied mathematics & informatics
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    • v.7 no.1
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    • pp.175-181
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    • 2000
  • The purpose of this to measure, with explicit constants as small as possible, a priori error bounds for approximation by picewise polynomials. These constants play an important role in the numerical verification method of solutions for obstacle problems by using finite element methods .

THE EFFECTS OF TAXATION ON OPTIMAL CONSUMPTION AND INVESTMENT

  • Lim, Byung Hwa
    • Journal of the Chungcheong Mathematical Society
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    • v.31 no.1
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    • pp.65-73
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    • 2018
  • We investigate the optimal consumption and investment problem of working agent who faces tax system on consumption, labor income, savings and investment. By applying martingale method, we obtain the closed-form solutions so it is possible to verify the effect of tax system analytically.

A Study on Development of Gifted Educational Materials Using Diabolical Cube (다이어볼릭 큐브(Diabolical Cube)를 활용한 영재교육 자료 개발에 대한 연구)

  • Shim, Sang-Kil
    • Communications of Mathematical Education
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    • v.25 no.1
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    • pp.207-219
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    • 2011
  • The purpose of this article is to study characteristics of diabolical cube in geometric point of view, and to present educational materials and direction for efficient diabolical cube activities in gifted education upon systematical analysis of methods of finding solutions. We can apply inclusion-exclusion Method to find all possible combination of solutions in diabolical cube activities not as trial-and-error method but as analytical method. Through teacher's questions and problem posing in activities using diabolical cube, we systematically came up with most solution and case of all possible combinations be solution in classifying properties of pieces and combining selected pieces.

The STCW Manila Amendments and its Challenges to the Far East

  • Chae, Chong-Ju
    • Journal of Navigation and Port Research
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    • v.38 no.3
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    • pp.193-202
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    • 2014
  • The comprehensive review of the STCW 1978, as amended in 1995 and associated Code was carried out from 2006 to 2010. These amendments will have a certain degree of impact on Maritime Education and Training(MET) institutes in terms of education and training of seafarer worldwide. Particularly, the Far East region countries are effected more than other regions since they covered about 30% of officers and 37% ratings in the world. In view of these facts this dissertation conceived to analyze the problems in the Far East main seafarer supply countries faced the implementation of "STCW Manila Amendments" To analyze these problems, this dissertation carried out questionnaire research to 7 targeted main MET of major Far East seafarer supply countries. After research this dissertation suggests the possible solutions such as, Joint On-Board Training Center; Joint Asia Maritime E-learning Systems; methods to reducing work-load, ship inspection burden and determine mandatory minimum safety manning standards in a safe way; technical cooperation fund to installation of training equipment; and clarify vague terminology of STCW Manila Amendments, to solve problems identified through the questionnaires.

Development of Gifted Educational Materials Using Tangram asInstructional Media (교수매체로써 칠교판을 활용한 영재교육 자료 개발)

  • Shim, Sang-Kil
    • Communications of Mathematical Education
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    • v.23 no.1
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    • pp.39-51
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    • 2009
  • The purpose of this article is to study characteristics of tangram as instructional media in combinatorialgeometric point of view, and to present basic materials and direction for efficient tangram activities in gifted education upon systematical analysis of methods of finding solutions. We can apply x=a+2b+4c to find all possible combination of solutions in tangram activities not as trial-and-error method but as analytical method. Through teacher's questions and problem posing in activities using tangram, we systematically came up with most solution and case of all possible combinations be solution in classifying properties of pieces and combining selected pieces.

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The Data Sharing Economy and Open Governance of Big Data as Public Good

  • LEE, Jung Wan
    • The Journal of Asian Finance, Economics and Business
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    • v.8 no.11
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    • pp.87-96
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    • 2021
  • Data-driven markets depend on access to data as a resource for products and services. Since the quality of information that can be drawn from data increases with the available amount and quality of the data, businesses involved in the data economy have a great interest in accessing data from other market players and sharing data with other stakeholders. Despite the growing need for access to data and evidence of the economic and social benefits, data access and sharing remains below its potential. Individuals, businesses, and governments often face barriers to data access, which may be compounded by the reluctance to share, including within and across sectors. To address these challenges, this paper focuses on finding possible solutions for a better data-sharing economy. This paper 1) Discusses opportunities and challenges of open data and the data-sharing economy, limitations of private sector data, and issues with open government data. 2) Introduces open government data initiatives and open governance networks initiatives. 3) Suggests possible solutions, including the governance and management, the legal and policy frameworks, and the technical standards for open data with proposing an open data governance model for the data-sharing economy.

Problems in Fuzzy c-means and Its Possible Solutions (Fuzzy c-means의 문제점 및 해결 방안)

  • Heo, Gyeong-Yong;Seo, Jin-Seok;Lee, Im-Geun
    • Journal of the Korea Society of Computer and Information
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    • v.16 no.1
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    • pp.39-46
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    • 2011
  • Clustering is one of the well-known unsupervised learning methods, in which a data set is grouped into some number of homogeneous clusters. There are numerous clustering algorithms available and they have been used in various applications. Fuzzy c-means (FCM), the most well-known partitional clustering algorithm, was established in 1970's and still in use. However, there are some unsolved problems in FCM and variants of FCM are still under development. In this paper, the problems in FCM are first explained and the available solutions are investigated, which is aimed to give researchers some possible ways of future research. Most of the FCM variants try to solve the problems using domain knowledge specific to a given problem. However, in this paper, we try to give general solutions without using any domain knowledge. Although there are more things left than discovered, this paper may be a good starting point for researchers newly entered into a clustering area.

Five Mirror System with Minimal Central Obscuration and All Zero 3rd Order Aberrations Suitable for DUV Optical Lithography (모든 3차 수차를 영으로 하고 Central Obscuration이 최소화된 극자외선 리소그라피용 5-반사광학계)

  • 이동희;이상수
    • Korean Journal of Optics and Photonics
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    • v.5 no.1
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    • pp.1-8
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    • 1994
  • A five mirror system with a reduction magnification(M=+1/5) is designed for DUV optical lithography. First, for spherical mirror systems, the numerical solutions of all zero 3rd order aberrations are derived and the 3-dimensional shape of the solution-domain is obtained. In these solutions, we select solutions which have as less residual aberrations and smaller central obscurration as possible and the aspherization is carried out to the last two spherical mirrors to obtain a system that has as higher NA as possible. Finally we obtain the system of which NA is 0.45, the central obscuration is about 25% and the resolution is about 650 cycles/mm at the 50% MTF value criterion and the depth of focus of 0.8${\mu}m$ for the nearly incoherent illumination (${\sigma}$=1.0) and the wavelength of 0.193${\mu}m$ (ArF excimer laser line).

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An Analytical Solution of Progressive Wave-Induced Residual Pore-Water Pressure in Seabed (진행파동장하 해저지반내 잔류간극수압의 해석해)

  • Lee, Kwang-Ho;Kim, Dong-Wook;Kim, Do-Sam;Kim, Tae-Hyung;Kim, Kyu-Han;Ryu, Heung Won
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.27 no.3
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    • pp.159-167
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    • 2015
  • In this paper, the errors found in the existed analytical solutions described the mechanism of residual pore-water pressure accumulation were examined and a new analytical was proposed. The new analytical solution was derived by using a Fourier series expansion and separation of variables was verified by comparison with the existed both analytical and numerical solutions and experimental result. The new analytical solution is very simple that there is no need for numerical integration for deep soil thickness. In addition, the solutions of the residual pore-water pressure for finite, deep, and shallow soil thickness reveled that it is possible to approach from finite to shallow soil thickness, but not possible to deep soil thickness because there was discontinues zone between finite and deep soil thickness.

Big Data-based Sensor Data Processing and Analysis for IoT Environment (IoT 환경을 위한 빅데이터 기반 센서 데이터 처리 및 분석)

  • Shin, Dong-Jin;Park, Ji-Hun;Kim, Ju-Ho;Kwak, Kwang-Jin;Park, Jeong-Min;Kim, Jeong-Joon
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.19 no.1
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    • pp.117-126
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    • 2019
  • The data generated in the IoT environment is very diverse. Especially, the development of the fourth industrial revolution has made it possible to increase the number of fixed and unstructured data generated in manufacturing facilities such as Smart Factory. With Big Data related solutions, it is possible to collect, store, process, analyze and visualize various large volumes of data quickly and accurately. Therefore, in this paper, we will directly generate data using Raspberry Pi used in IoT environment, and analyze using various Big Data solutions. Collected by using an Sqoop solution collected and stored in the database to the HDFS, and the process is to process the data by using the solutions available Hive parallel processing is associated with Hadoop. Finally, the analysis and visualization of the processed data via the R programming will be used universally to end verification.