• The Pure and Applied Mathematics
• /
• v.2 no.2
• /
• pp.163-172
• /
• 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.

• Korean Journal of Mathematics
• /
• v.28 no.4
• /
• pp.973-984
• /
• 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.

• The Pure and Applied Mathematics
• /
• v.29 no.4
• /
• pp.255-275
• /
• 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.

• Kyungpook Mathematical Journal
• /
• v.26 no.1
• /
• pp.43-48
• /
• 1986

• International Journal of Precision Engineering and Manufacturing
• /
• v.4 no.2
• /
• pp.49-56
• /
• 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.

• Journal of the Korean Mathematical Society
• /
• v.58 no.6
• /
• pp.1385-1405
• /
• 2021

Let A be a positive bounded linear operator acting on a complex Hilbert space (𝓗, ⟨·,·⟩). Let ω_A(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.

• Journal of the Korean Society for Precision Engineering
• /
• v.19 no.2
• /
• pp.114-125
• /
• 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.

• Journal of Cadastre & Land InformatiX
• /
• v.46 no.2
• /
• pp.57-77
• /
• 2016

This paper analysis spatial correlation applying commercial activating factor and categories clusters among have homogeneity in garosu street which are rising commercial issue in residential district. Based on this research we can draw several implications. Firstly, Garosu street are forming unique space around fassion feature like clothes and food and Beverage stores are supporting main functions. secondly, in terms of utilization of semi-public space in individual buildings, main Street are using display goods and put product.Also restaurants and cafes are using public space as terrace seats. These results mean principal road emphasizes displaying and passing but inner road emphasizes taking a break and staying. Third, repetitive action between high rising vacancy and new building cause negative effects city decline and lossing identity. So residents and merchants should cooperate and make communities for sustainable district.

• Journal of Fashion Business
• /
• v.6 no.1
• /
• pp.43-52
• /
• 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.