• Title/Summary/Keyword: increasing operator and decreasing operator

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CONVEX SOLUTIONS OF THE POLYNOMIAL-LIKE ITERATIVE EQUATION ON OPEN SET

  • Gong, Xiaobing
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.3
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    • pp.641-651
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    • 2014
  • Because of difficulty of using Schauder's fixed point theorem to the polynomial-like iterative equation, a lots of work are contributed to the existence of solutions for the polynomial-like iterative equation on compact set. In this paper, by applying the Schauder-Tychonoff fixed point theorem we discuss monotone solutions and convex solutions of the polynomial-like iterative equation on an open set (possibly unbounded) in $\mathbb{R}^N$. More concretely, by considering a partial order in $\mathbb{R}^N$ defined by an order cone, we prove the existence of increasing and decreasing solutions of the polynomial-like iterative equation on an open set and further obtain the conditions under which the solutions are convex in the order.

ON THE SOLUTION OF NONLINEAR EQUATIONS CONTAINING A NON-DIFFERENTIABLE TERM

  • Argyros, Ioannis K.
    • East Asian mathematical journal
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    • v.24 no.3
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    • pp.295-304
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    • 2008
  • We approximate a locally unique solution of a nonlinear operator equation containing a non-differentiable operator in a Banach space setting using Newton's method. Sufficient conditions for the semilocal convergence of Newton's method in this case have been given by several authors using mainly increasing sequences [1]-[6]. Here, we use center as well as Lipschitz conditions and decreasing majorizing sequences to obtain new sufficient convergence conditions weaker than before in many interesting cases. Numerical examples where our results apply to solve equations but earlier ones cannot [2], [5], [6] are also provided in this study.

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Ergonomic Analysis on 3-Screen Multi-function Console Design of the Naval Combat System (함정 전투체계의 3화면 다기능콘솔 설계를 위한 인간공학적 분석 기법 연구)

  • Lee, Jaeho;Yoon, Sangyoung;Kim, Hyunsil
    • Journal of the Korea Institute of Military Science and Technology
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    • v.23 no.2
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    • pp.185-193
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    • 2020
  • This paper proposes a 3-screen multi-function console development method using ergonomic design approach. Ergonomically designed console has the advantage of decreasing operator fatigue and increasing concentration by providing better readability, operability and convenience. For this, thirty subjects participated in the experiment for 3-screen multi-function console design. Ergonomic standards of console design were used to establish experiment design and to eliminate incompatible results with ergonomic standards. Subjects evaluated the nine predefined placements of displays and asked to place the display and controllers in order to use comfortably. As a results, total 18 design criteria including displays and controllers placement were determined.

Anti-Sway and Position Control of Overhead Crane Using the LQ Controller (LQ 제어기를 이용한 천정 크레인의 흔들림 억제 및 위치제어)

  • Choi, B.S.;Park, J.W.;Son, J.K.;Kwon, S.J.
    • Proceedings of the KIEE Conference
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    • 2003.07d
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    • pp.2753-2755
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    • 2003
  • Overhead crane must do to control occurrence of Anti-Sway according to work situation that is used in case move industry spot's heavy freight, and do safe transfer of freight. Transfer process that make use of crane suspends and consist of series action that put down freight to do relevant addition decreasing the speed before objective while move by schedule section equal speed because increasing the speed after lift thing. This need skill degree by experience because there are operator's function and affinity. Also, must control this effectively because can affect big productivity elevation according to effect that get in transfer of safe freight, Therefore, illuminate physical characteristic of crane and algorithm of motor drive department and there is purpose of this research to do so that correct control may be available through over head crane's shaking control and position control designing LQ controller.

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A Study on Performance Cause Analysis for the Fund of Stack Type (주식형 펀드의 성과요인 분석에 관한 연구)

  • 여동길;김상오
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.14 no.24
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    • pp.207-219
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    • 1991
  • We studied performance evaluation methods for each cause by using a benchmark and also researched performance measurement models which based on CAPM. In this study, we analyzed the beneficiary certificate of stock type of three large domestic investment trust company. The purpose of this paper is improving the efficiency of investment maintenance and the operating the ability of fund operator by analyzing the contribution of the rate of return on investment and the cause of operating performance. We applied this study to the increasing aspect of stock price(Jan. 1988-April. 1999) as well as the decreasing aspect of stock price(April, 1989-July. 1990).

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The Analysis of Proportional Reasoning Tasks in Elementary School Mathematics Textbooks (초등학교 수학 교과서에 제시된 비례추론 과제의 분석)

  • Song, Dong Hyun;Park, Young Hee
    • Education of Primary School Mathematics
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    • v.25 no.1
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    • pp.57-79
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    • 2022
  • Current mathematics It is necessary to ensure that ratio and proportion concept is not distorted or broken while being treated as if they were easy to teach and learn in school. Therefore, the purpose of this study is to analyze the activities presented in the textbook. Based on prior work, this study reinterpreted the proportional reasoning task from the proportional perspective of Beckmann and Izsak(2015) to the multiplicative structure of Vergnaud(1996) in four ways. This compared how they interpreted the multiplicative structure and relationships between two measurement spaces of ratio and rate units and proportional expression and proportional distribution units presented in the revised textbooks of 2007, 2009, and 2015 curriculum. First, the study found that the proportional reasoning task presented in the ratio and rate section varied by increasing both the ratio structure type and the proportional reasoning activity during the 2009 curriculum, but simplified the content by decreasing both the percentage structure type and the proportional reasoning activity. In addition, during the 2015 curriculum, the content was simplified by decreasing both the type of multiplicative structure of ratio and rate and the type of proportional reasoning, but both the type of multiplicative structure of percentage and the content varied. Second, the study found that, the proportional reasoning task presented in the proportional expression and proportional distribute sections was similar to the previous one, as both the type of multiplicative structure and the type of proportional reasoning strategy increased during the 2009 curriculum. In addition, during the 2015 curriculum, both the type of multiplicative structure and the activity of proportional reasoning increased, but the proportional distribution were similar to the previous one as there was no significant change in the type of multiplicative structure and proportional reasoning. Therefore, teachers need to make efforts to analyze the multiplicative structure and proportional reasoning strategies of the activities presented in the textbook and reconstruct them according to the concepts to teach them so that students can experience proportional reasoning in various situations.

A Study of the Effective Method for Collecting and Analyzing Human Sensibility Applied Fuzzy Set Theory (퍼지이론을 응용한 효율적 감성 수집과 분석에 관한 연구)

  • Baek, Seung-Ryeol;Park, Beom
    • Journal of the Ergonomics Society of Korea
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    • v.17 no.1
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    • pp.47-54
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    • 1998
  • Product design and development is very important process in enterprise activities. Reducing development time and reflecting consumer's needs is required to product design and development for increasing benefit and decreasing cost. Human sensibility ergonomics is one of the important technology of R&D in product development. However, the subjective method of human sensibility ergonomics has several problems to analyze and to Quantify experimental data and objective method of human sensibility ergonomics is still in process on study. In this research, new analyzing method is proposed for the subjective human sensibility ergonomics applied with fuzzy set theory. What is the useful theory for controlling uncertain type of information like human mind? This approach is more effective method for analyzing consumer's needs for product design and development process. At collecting needs, certainty scale is added for adapting hedge of fuzzy function. Using a kind of union operator, synthesize each item to analyze identification of each item with fuzzy hamming distance. Identification of analysis is classified with the relational weight using Relationship Chart Method, and is drawn the relationship diagram for clustering each item. A case study with sample test is conducted and demonstrated with this suggested method for more effective way.

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Automation of Agricultural Machinery: Its Development and Prospect (농업기계(農業機械) 자동화(自動化)의 발전(發展)과 전망(展望))

  • Ryu, K.H.
    • Journal of Biosystems Engineering
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    • v.12 no.1
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    • pp.53-62
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    • 1987
  • Automation of agricultural machinery is a high technology needed to increase work capacity and accuracy, to save agricultural resources and energy, to solve labor shortage, and to improve operator's comfort and safety. With the rapid development of electronic industry, automation of agricultural machinery will be progressed fast, and eventually will lead to no-operator machines or agricultural robots. Automation should be promoted step by step without increasing the cost of farming, excluding rural labor forces, decreasing labor volition, and losing human nature. In order to achieve rational automation of agricultural machinery, it is necessary to investigate the characteristics of soils and crops, to develop sensors, controllers and robots with artificial intelligence. It is recommended that the present trends to directly automatize the individual machinery be changed to the development of a harmonious automation system for overall farming.

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