• Title/Summary/Keyword: property ($D_k$)

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ON SOME PROPERTIES OF BOUNDED HOMOMORPHISMS AND DERIVATIONS OF A C*-ALGEBRA

  • Nagisa, Masaru;Nam, Young-Man
    • East Asian mathematical journal
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    • v.4
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    • pp.1-13
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    • 1988
  • We consider some properties of the completely bounded representations of C*-algebras. We discuss the relation between the k-similarity and the property $D_k$ and get the result every k-similar C*-algebra has property $D_k$. Moreover we determine the similarity problem for the algebra C$\bigoplus$C precisely and constructively.

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Dyeing and Mechanical Properties of 0.01d Polyester Ultramicro Fiber (0.01d 폴리에스테르 초극세 섬유의 염색성 및 역학적 성질)

  • Park, Jae-Min;Jeong, Dong-Seok;Rho, Hwan-Kown;Ryu, Hyun-Jae;Lee, Mun-Cheul
    • Textile Coloration and Finishing
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    • v.18 no.6 s.91
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    • pp.10-15
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    • 2006
  • In this article, effect of the dyeing and mechanical properties were investigated on the polyester ultramicro fiber(UMF) and knitted fabric varying fiber fineness(0.01d and 0.05d). By a treatment with NaOH solution, sea-ingredient was removed and polyester micro-fiber was revealed. The dyeing, build-up and fastness properties of the fiber and fabrics were observed. We used C.I. Disperse Red 60 and Blue 56 for dyeing property and eight Lumacron dyes for build-up property and colorfastness. At low temperature dyeing($100^{\circ}C$), the dyeing rate of 0.01d-polyester UME increased more than that of 0.05d-polyester UMF with Disperse Red 60 and Blue 56 whereas dyeing rate of 0.05d-polyester UMF were increased more than that of 0.01d-polyester UMF at high temperature($120^{\circ}C$), The colorfastnesses of the 0.05d-fiber knitted fabric such as washing, rubbing and light was higher than those of the 0.01d-fiber knitted fabric.

M-IDEALS AND PROPERTY SU

  • Cho, Chong-Man;Roh, Woo-Suk
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.4
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    • pp.663-668
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    • 2001
  • X and Y are Banach spaces for which K(X, Y), the space of compact operators from X to Y, is an M-ideal in L(X, Y), the space of bounded linear operators form X to Y. If Z is a closed subspace of Y such that L(X, Z) has property SU in L(X, Y) and d(T, K(X, Z)) = d(T, K(X, Y)) for all $T \in L(X, Z)$, then K(X, Z) is an M-ideal in L(X, Z) if and only if it has property SU is L(X, Z).

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Property Changes of Woven Blouse Fabrics by bonding fusible interlinings for a 3D Virtual Try-on System

  • Kim, Myoung-Ok;Park, Myung-Ja
    • Fashion & Textile Research Journal
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    • v.16 no.6
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    • pp.1008-1016
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    • 2014
  • This study aims to analyze the changes in the mechanical properties of woven fabrics(cotton, linen, wool, silk, and polyester) by bonding fusible interlinings with varying deniers(10D, 20D, and 30D) for a 3D virtual try-on system(one that a user to try garments through screens using Avatar) developed over the last decade. We experimented with four mechanical properties and thicknesses of twenty-three specimens of interlining bonded fabrics including face fabrics and interlinings by using the KES-FB-AUTO system. The results showed that the tensile property increased(LT and RT increased and WT decreased) as the denier of the interlining increased; however, the change was slight. In contrast, the bending and shear properties increased significantly as the denier of the interlining increased on both the warp and the weft. This showed evidence that the interlining gives the fabrics size stability. The compression property was slight changed as the tensile property varies depending on the fibers and the denier of interlining. As expected, the thickness increased by bonding the interlining as the denier of interlining increased. From these results, we conclude that 3D users need to reflect these changes of woven fabrics by bonding interlinings when they try screen fittings to accurately express the fabric reality of manufactured garment.

Cryogenic Behavior of Perovskite Materials

  • Paik, D.S.;Shin, H.Y.;Yoon, S.J.;Kim, H.J.;Park, C.Y.
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1999.05a
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    • pp.126-129
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    • 1999
  • Dielectric and piezoelectric properties of perovskite materials such as La modified $Pb(Zr,Ti)O_3$ ceramics and $Pb(Zn_{1/3}Nb_{2/3})O_3-PbTiO_3$ single crystals were investigated for cryogenic capacitor and actuator applications. Enhanced extrinsic contributions resulted in piezoelectric coefficient (d33) as high as 250 pC/N at 30 K, superior to that of PZT ($d_{33}$ ~ 100 pC/N). This cryogenic property enhancement was associated with retuning the MPB (or cryogenic temperatures. PZN-PT single crystals exhibited dramatic property improvements such as $d_{33}$ > 500 pC/N at 30 K as a result of an engineered domain state.

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ON "VERY PALINDROMIC" SEQUENCES

  • BASIC, BOJAN
    • Journal of the Korean Mathematical Society
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    • v.52 no.4
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    • pp.765-780
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    • 2015
  • We consider the problem of characterizing the palindromic sequences ${\langle}c_{d-1},\;c_{d-2}\;,{\cdots},\;c_0\rangle$, $c_{d-1}{\neq}0$, having the property that for any $K{\in}\mathbb{N}$ there exists a number that is a palindrome simultaneously in K different bases, with ${\langle}c_{d-1},\;c_{d-2}\;,{\cdots},\;c_0\rangle$ being its digit sequence in one of those bases. Since each number is trivially a palindrome in all bases greater than itself, we impose the restriction that only palindromes with at least two digits are taken into account. We further consider a related problem, where we count only palindromes with a fixed number of digits (that is, d). The first problem turns out not to be very hard; we show that all the palindromic sequences have the required property, even with the additional point that we can actually restrict the counted palindromes to have at least d digits. The second one is quite tougher; we show that all the palindromic sequences of length d = 3 have the required property (and the same holds for d = 2, based on some earlier results), while for larger values of d we present some arguments showing that this tendency is quite likely to change.

New SMOLED Deposition System for Mass Production

  • Lee, J.H.;Kim, C.W.;Choi, D.K.;Kim, D.S.;Bae, K.B.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2003.07a
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    • pp.407-410
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    • 2003
  • We will introduce our new concept deposition system for SMOLED manufacturing in this conference. This system is designed to deposit organic and metal material to downward to overcome the limit of substrate size and process tact time hurdle for OLED mass production, and is organized with organic deposition chamber, substrate pre-cleaning chamber, metal deposition chamber and encapsulation system. These entire process chambers are integrated with linear type substrate transfer system. We also compare our new SMOLED manufacturing system with conventional vacuum deposition systems, and show basic organic thin film property data, organic material deposition property data, and basic device property.

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THE KÄHLER DIFFERENT OF A SET OF POINTS IN ℙm × ℙn

  • Hoa, Nguyen T.;Linh, Tran N.K.;Long, Le N.;Nhan, Phan T.T.;Nhi, Nguyen T.P.
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.4
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    • pp.929-949
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    • 2022
  • Given an ACM set 𝕏 of points in a multiprojective space ℙm×ℙn over a field of characteristic zero, we are interested in studying the Kähler different and the Cayley-Bacharach property for 𝕏. In ℙ1×ℙ1, the Cayley-Bacharach property agrees with the complete intersection property and it is characterized by using the Kähler different. However, this result fails to hold in ℙm×ℙn for n > 1 or m > 1. In this paper we start an investigation of the Kähler different and its Hilbert function and then prove that 𝕏 is a complete intersection of type (d1, …, dm, d'1, …, d'n) if and only if it has the Cayley-Bacharach property and the Kähler different is non-zero at a certain degree. We characterize the Cayley-Bacharach property of 𝕏 under certain assumptions.