• 제목/요약/키워드: 2-semi inner product

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FUZZY SEMI-INNER-PRODUCT SPACE

  • Cho, Eui-Whan;Kim, Young-Key;Shin, Chae-Seob
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제2권2호
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    • pp.163-172
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    • 1995
  • G.Lumer [8] introduced the concept of semi-product space. H.M.El-Hamouly [7] introduced the concept of fuzzy inner product spaces. In this paper, we defined fuzzy semi-inner-product space and investigated some properties of fuzzy semi product space.

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ON 2-INNER PRODUCT SPACES AND REPRODUCING PROPERTY

  • Sababe, Saeed Hashemi
    • Korean Journal of Mathematics
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    • 제28권4호
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    • pp.973-984
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    • 2020
  • This paper is devoted to study the reproducing property on 2-inner product Hilbert spaces. We focus on a new structure to produce reproducing kernel Hilbert and Banach spaces. According to multi variable computing, this structures play the key role in probability, mathematical finance and machine learning.

ITERATING A SYSTEM OF SET-VALUED VARIATIONAL INCLUSION PROBLEMS IN SEMI-INNER PRODUCT SPACES

  • Shafi, Sumeera
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제29권4호
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    • pp.255-275
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    • 2022
  • In this paper, we introduce a new system of set-valued variational inclusion problems in semi-inner product spaces. We use resolvent operator technique to propose an iterative algorithm for computing the approximate solution of the system of set-valued variational inclusion problems. The results presented in this paper generalize, improve and unify many previously known results in the literature.

Optimal Reheating Condition of Semi-solid Material in Semi-solid Forging by Neural Network

  • Park, Jae-Chan;Kim, Young-Ho;Park, Joon-Hong
    • International Journal of Precision Engineering and Manufacturing
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    • 제4권2호
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    • pp.49-56
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    • 2003
  • As semi-solid forging (SSF) is compared with conventional casting such as gravity die-casting and squeeze casting, the product without inner defects can be obtained from semi-solid forming and globular microstructure as well. Generally, SSF consists of reheating, forging, and ejecting processes. In the reheating process, the materials are heated up to the temperature between the solidus and liquidus line at which the materials exists in the form of liquid-solid mixture. The process variables such as reheating time, reheating temperature, reheating holding time, and induction heating power has large effect on the quality of the reheated billets. It is difficult to consider all the variables at the same time for predicting the quality. In this paper, Taguchi method, regression analysis and neural network were applied to analyze the relationship between processing conditions and solid fraction. A356 alloy was used for the present study, and the learning data were extracted from the reheating experiments. Results by neural network were in good agreement with those by experiment. Polynominal regression analysis was formulated using the test data from neural network. Optimum processing condition was calculated to minimize the grain size and solid fraction standard deviation or to maximize the specimen temperature average. Discussion is given about reheating process of row material and results are presented with regard to accurate process variables fur proper solid fraction, specimen temperature and grain size.

SOME NUMERICAL RADIUS INEQUALITIES FOR SEMI-HILBERT SPACE OPERATORS

  • Feki, Kais
    • 대한수학회지
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    • 제58권6호
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    • pp.1385-1405
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    • 2021
  • Let A be a positive bounded linear operator acting on a complex Hilbert space (𝓗, ⟨·,·⟩). Let ωA(T) and ║T║A denote the A-numerical radius and the A-operator seminorm of an operator T acting on the semi-Hilbert space (𝓗, ⟨·,·⟩A), respectively, where ⟨x, y⟩A := ⟨Ax, y⟩ for all x, y ∈ 𝓗. In this paper, we show with different techniques from that used by Kittaneh in [24] that $$\frac{1}{4}{\parallel}T^{{\sharp}_A}T+TT^{{\sharp}_A}{\parallel}_A{\leq}{\omega}^2_A(T){\leq}\frac{1}{2}{\parallel}T^{{\sharp}_A}T+TT^{{\sharp}_A}{\parallel}_A.$$ Here T#A denotes a distinguished A-adjoint operator of T. Moreover, a considerable improvement of the above inequalities is proved. This allows us to compute the 𝔸-numerical radius of the operator matrix $\(\array{I&T\\0&-I}\)$ where 𝔸 = diag(A, A). In addition, several A-numerical radius inequalities for semi-Hilbert space operators are also established.

반용융 성형에서 A356합금의 최적 재가열 과정에 대한 연구 (A Study on the Optimum Reheating Profess of A356 Alloy in Semi-Solid Forming)

  • 윤재민;박준홍;김영호;최재찬
    • 한국정밀공학회지
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    • 제19권2호
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    • pp.114-125
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    • 2002
  • As semi-solid forging (SSF) is compared with conventional easting such as gravity die-easting and squeeze casting, the product without inner defects can be obtained from semi-solid forming and globular microstructure as well. Generally speaking. SSF consists of reheating, forging, ejecting precesses. In the reheating process, the materials are heated up to the temperature between the solidus and liquidus line at which the materials exists in the form of liquid-solid mixture. The process variables such as reheating time, reheating temperature, reheating holding time, and induction heating power have much effect on the quality of the reheated billets. It is difficult to consider all the variables at the same time when predicting the quality. In this paper, Taguchi method, regression analysis and neural network were applied to analyze the relationship between processing conditions and solid fraction. A356 alloy was used for the present study, and the learning data were extracted by the reheating experiments. Results by neural network were on good agreement with those by experiment. Polynominal regression analysis was formulated by using the test data from neural network. Optimum processing condition was calculated to minimize the grain size, solid fraction standard deviation, otherwise, to maximize the specimen temperature average. In this time, discussion is liven about reheating process of row material and results are presented with regard to accurate process variables for proper solid fraction, specimen temperature and grain size.

주거지내 상업화 발생영역에서 군집형성현상과 영향요인 연구 - 가로수길을 대상으로 - (Commercial Cluster Characteristics in Residential District Focusing on Garosu Street)

  • 홍하연;구자훈
    • 지적과 국토정보
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    • 제46권2호
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    • pp.57-77
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    • 2016
  • 본 연구는 주거지 내 상업화가 활발하게 일어나고 있는 가로수길을 대상으로 제인제이콥스의 활성화 가로 요인을 적용하여 활성화 요인들의 공간적 상관관계를 분석하였으며, 동질성을 갖는 특성들끼리 군집을 이루고 있는 유형을 분류하였다. 연구결과를 바탕으로 다음과 같은 연구의 시사점을 도출할 수 있다. 첫째, 가로수길은 의류 및 잡화 등 패션가로의 주된 장소성 기능이 집중되어 특색있는 가로를 형성하고 있었고, 주변 식음용도의 상점들이 그 기능을 받쳐주는 요인이 되고 있다는 것을 알 수 있었다. 둘째, 건축면적 외 공지의 활용여부를 보면, 메인가로는 쇼윈도 진열 및 상품의 적재가 이루어지고 내부의 음식점 및 카페는 테라스형 좌석 조성, 그리고 간선도로변은 보행공간으로서 이용되고 있는 것으로 나타났는데, 간선가로와 메인가로는 물판 위주 및 통과공간으로서의 기능이 강화되고 휴식을 취하거나 체류할 수 있는 공간은 내부 블록에서 형성된다는 것을 알 수 있다. 셋째, 가로수길 내에서 건축물의 신축과 공실이 이어지는 소모적인 현상은 도심공동화와 가로가 가지는 자체의 정체성을 상실하는 주거환경의 부정적인 효과로 이어질 수 있어서 주거민과 상인이 협력하여 발전시킬 수 있는 노력이 필요할 것이다.

숙녀복(淑女服) 재킷 제조공정(製造工程) 실태(實態) 연구(硏究) (A Study on the Manufacturing Process of Ladies' Jacket)

  • 심재희;손희순
    • 패션비즈니스
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    • 제6권1호
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    • pp.43-52
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    • 2002
  • The purpose of this study was to present the plan for activation and rationalization of production of ladies' jacket and provide basic materials for improvement of the development of technologies in relation to the productivity improvement of ladies' jacket and the achievement of high quality product. For this purpose, this study attempted to investigate the present situation of jacket manufacturing process. The data is related with local ladies' jacket manufacturing companies in Seoul snd Kyonggi area. The results of this study are as follows. 1. 87.8% of the business firms responded that they acquired the productive process of jacket based on their own knowhow and 80.5% was aware of the need for the analysis of each process. The highest proportion of the business firms(65.9%) pointed out that the advantage of process analysis was the alleviation of the production time. 2. The jacket manufacturing process was made up of 4 stages such as the process of frontal/rear plate $\rightarrow$ the process of accessories $\rightarrow$ the process of completion $\rightarrow$ the process of finishing in a broad sense but composed of a total of 19 stages in detail. 3. Attachment of the sleeves(73.2), attachment of the collar(41.5%) and the formation of the overall silhouette(22.0%) were raised as the challenge in manufacturing ladies' jacket. 4. Most of the sewing business firms made use of the method of completing the collar and then stitching the outer material and the inner collar, and the line of the bodice and the outer collar as the method of stitching the tailored collar. and many of them used the method of completing the collar and then inserting it between the line of the bodice and the outer material and stitching it as the method of stitching the stand collar. They had a preference for the method of completing the sleeve and connecting it to the bodice as the method of stitching the sleeve. and used the method of treating the margin to seam of semi-lined and unlined jacket by treating it with the bias tape.