• Title/Summary/Keyword: hat product

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ON STABILITY OF EINSTEIN WARPED PRODUCT MANIFOLDS

  • Pyo, Yong-Soo;Kim, Hyun-Woong;Park, Joon-Sik
    • Honam Mathematical Journal
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    • v.32 no.1
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    • pp.167-176
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    • 2010
  • Let (B, $\check{g}$) and (N, $\hat{g}$) be Einstein manifolds. Then, we get a complete (necessary and sufficient) condition for the warped product manifold $B\;{\times}_f\;N\;:=\;(B\;{\times}\;N,\;\check{g}\;+\;f{\hat{g}}$) to be Einstein, and obtain a complete condition for the Einstein warped product manifold $B\;{\times}_f\;N$ to be weakly stable. Moreover, we get a complete condition for the map i : ($B,\;\check{g})\;{\times}\;(N,\;\hat{g})\;{\rightarrow}\;B\;{\times}_f\;N$, which is the identity map as a map, to be harmonic. Under the assumption that i is harmonic, we obtain a complete condition for $B\;{\times}_f\;N$ to be Einstein.

Quantitative Evaluation of Shape Accuracy in a Hat-type Product with UHSS according to the Forming Procedure (성형공법에 따른 초고강도 모자형 박판부품 형상정밀도 평가)

  • Choi, Byeung Hyeun;Kim, Se Ho;Kim, Heung Kyu
    • Journal of the Korean Society for Precision Engineering
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    • v.30 no.10
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    • pp.1111-1117
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    • 2013
  • In this paper, the shape accuracy of the stamped hat-type product is quantified and analyzed with ultra high strength steel (UHSS) sheets. The shape of the hat-type product is designed in order to simplify the geometry of the side sill and the stamping methodology is proposed in order to verify the effect of the stamping procedure on the springback amount. Experiments and finite element analyses are conducted with four kinds of the forming sequences. The springback amounts are measured and compared according to the forming procedure with the embossing shape. Experimental result in company with analysis one illustrate that the springback amount is reduced with embossing in the padding operation. They also fully demonstrates the proposed forming procedure and the analysis method can be effectively applied to the process design for producing parts with ultra high strength steel.

Purchasing Behavior and Evaluation Criteria on Hat Products (모자 제품의 구매 행동과 평가 기준)

  • Kim, Cha-Hyun;Park, Jae-Ok
    • The Research Journal of the Costume Culture
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    • v.17 no.6
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    • pp.1068-1082
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    • 2009
  • The purpose of this study was to investigate empirically the consumer behavior regarding the purchase of millinery items in relation to their evaluation criterion and demographic characteristics. The survey was carried out to 395 individuals in their 20s and over who were quota sampled according to age and gender. The collected data were statistically treated with the SPSS 12.0 program in terms of descriptive statistics, cross tabulation, t-test, one-way ANOVA, factor analysis, Cronbach's $\alpha$ coefficient and Duncan-test. The 20s and 50s over were more interested in hat products than other ages. Female consumers obtained the most information about hat products from store visits, TV and magazines. On the other hand, male consumers had it from the acquaintances and internet. Younger consumers more often utilized internet to have it. Their main purchase location was department stores. The younger purchased it more in traditional market, the older purchased it more in mega wholesale market or discount store. The consumers of hat products considered the intrinsic classification most when buying hats. The evaluation criteria employed by them were aesthetics, quality, and external attributes. Hat consumers were more concerned about aesthetics attributes than the other two criteria. Female consumers and consumers who are more interested in the hat and have a higher level of education and income considered aesthetics attributes most important.

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Optimal Rates of Convergence in Tensor Sobolev Space Regression

  • Koo, Ja-Yong
    • Journal of the Korean Statistical Society
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    • v.21 no.2
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    • pp.153-166
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    • 1992
  • Consider an unknown regression function f of the response Y on a d-dimensional measurement variable X. It is assumed that f belongs to a tensor Sobolev space. Let T denote a differential operator. Let $\hat{T}_n$ denote an estimator of T(f) based on a random sample of size n from the distribution of (X, Y), and let $\Vert \hat{T}_n - T(f) \Vert_2$ be the usual $L_2$ norm of the restriction of $\hat{T}_n - T(f)$ to a subset of $R^d$. Under appropriate regularity conditions, the optimal rate of convergence for $\Vert \hat{T}_n - T(f) \Vert_2$ is discussed.

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RELATIVE RELATION MODULES OF FINITE ELEMENTARY ABELIAN p-GROUPS

  • Yamin, Mohammad;Sharma, Poonam Kumar
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.4
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    • pp.1205-1210
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    • 2014
  • Let E be a free product of a finite number of cyclic groups, and S a normal subgroup of E such that $$E/S{\sim_=}G$$ is finite. For a prime p, $\hat{S}=S/S^{\prime}S^p$ may be regarded as an $F_pG$-module via conjugation in E. The aim of this article is to prove that $\hat{S}$ is decomposable into two indecomposable modules for finite elementary abelian p-groups G.

Applying Novel Mean Residual Life Confidence Intervals

  • Guess, F.M.;Steele, J.C.;Young, T.M.;Leon, R.V.
    • International Journal of Reliability and Applications
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    • v.7 no.2
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    • pp.177-186
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    • 2006
  • Typical confidence intervals for a mean or mean residual life (MRL) are centered about the mean or mean residual life. We discuss novel confidence intervals that produce statements like "we are 95% confident that the MRL function, e(t), is greater than a prespecified $\mu_o$ for all t in the interval [0, $\hat{\theta})$)" where $\hat{\theta}$ is determined from the sample data, confidence level, and $\mu_o$. Also, we can have statements like 'we are 95% confident that the MRL of population 1, namely $e_1$(t), is greater than the MRL of population 2, $e_2$(t), for all t in the interval [0, $\hat{\theta}$)" where $\hat{\theta}$ is determined from the sample data and confidence level. We illustrate these one and two sample confidence intervals on internal bonds (tensile strengths) for an important modem engineered wood product, called medium density fiberboard (MDF), used internationally.

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SOME REMARKS ON BOUNDED COHOMOLOGY GROUP OF PRODUCT OF GROUPS

  • Park, HeeSook
    • Honam Mathematical Journal
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    • v.41 no.3
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    • pp.631-650
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    • 2019
  • In this paper, for discrete groups G and K, we show that the bounded cohomology group of $G{\times}K$ is isomorphic to the cohomology group of the complex of the projective tensor product $B^*(G){\hat{\otimes}}B^*(K)$, where $B^*(G)$ and $B^*(G)$ are the complexes of bounded cochains with real coefficients ${\mathbb{R}}$ of G and K, respectively.

Difference in Consumption Behavior and Preferences on Hat Produts (모자제품의 소비행동과 디자인 선호도 차이)

  • Kim, Cha-Hyun;Park, Moon-Hee
    • Journal of the Korean Society of Clothing and Textiles
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    • v.33 no.7
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    • pp.1038-1049
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    • 2009
  • A hat is an important fashion accessory item for a total fashion coordination and the number of millineries is increasing in the current accessory market. This research provides basic information about the millinery in relation to consumer consumption behavior, preference, and satisfaction with hat products. A survey was conducted among 395 individuals age 20 and over who were quota sampled according to age and gender to investigate the differences between genders and different age groups. The collected data were statistically treated with the SPSS 12.0 program in terms of frequency, percentage, mean, standard error, cross tabulation, t-test, one-way ANOVA, and a Duncan-test. The results are as follows: 1. Respondents wear hats for ornamental purposes regardless of the season. They discard hats when they become out of style 2 to 3 years after the purchase. 2. In general, consumers prefer the baseball cap design among various hat product categories. Achromatic colors were the favorite color tone and the preferred material was woven cloth. 3. Consumers were most satisfied with colors and most dissatisfied with deformation after laundering. 4. There was a significant difference in preferences among the different age groups. Younger consumers were more concerned about individual image and style. Older consumers considered hats as a functional means such as protecting themselves from the sun. 5. There was a significant gender difference. Compared to males, female consumers were more concerned about the quality of sewing and colorfastness than male consumers.

A Semantic Network Approach to PPO (Products, Processes, Organizations/Resources) Modeling for PDM Systems

  • Hyo-Won Suh;Heejung Lee;Seungchul Ha
    • Korean Journal of Computational Design and Engineering
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    • v.4 no.3
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    • pp.238-246
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    • 1999
  • The modeling method to support product development processes (PDP) must have certain characteristics including the ability to represent multiple viewpoints of the product development and integrate with currently available analysis and design methods based on CE concept. This paper describes the reference model to support multiple viewpoints (PPO: Products, Processes, and Organizations/Resources viewpoints) of the product development processes, from which each model (Products model, Processes model, and Organizations/Resources model) can be extracted, as well as produces PPO data schema. This reference model has associative relationships among the products, processes, and organizations/resources. To allow the extensibility to support design evolution, we propose structured dat representation methods using semantic network, which can be constructed through first-order logic. The product development processes is so represented by specifying entities and semantic relationships among them hat he appropriate information can be accessed and all of the relevant attributes about the entities can be retrieved simultaneously.

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Change in Springback Tendency during Forming of a Hat-type Product with High Strength Steel Using a Digital Servo Press (디지털 서보 프레스를 이용한 고강도강 성형제품의 스프링백 경향 변화)

  • Kang, K.H.;Kim, S.H.;Ro, H.C.
    • Transactions of Materials Processing
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    • v.25 no.1
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    • pp.21-28
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    • 2016
  • In the current study, reduction of springback is quantified and the reasons for the reduction are investigated. The testing involved a digital servo motion applied to a U-draw bending to produce a hat-type product from high strength steels such as DP780 and DP980. The change in springback is compared between the constant speed motion and three kinds of servocontrolled motions during forming experiments. In order to predict the springback for the servo-controlled tool motion, a finite element method was utilized for the springback analysis considering a kinematic hardening model for the steel. The comparison of springback between the analysis and the experiments shows that they have similar tendencies. Also, the analysis results indicate that the springback reduction is greatly influenced by a decrease in the friction coefficient, which originates from the contact and detach phenomena between the tooling and the blank during the up-and-down motion of the upper die following the servo-controlled motion.