• Title/Summary/Keyword: property (M)

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Latin Square Type Partially Balanced Incomplete Block Designs

  • Paik, U.B.
    • Journal of the Korean Statistical Society
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    • v.8 no.2
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    • pp.125-130
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    • 1979
  • It is well known that $L_2(m)$ type PBIB designs have the Property A, so they are BNAS PBIB designs. However, $L_3(m)$ type PBIB designs are not of type of Property A but do have the factorial structure (Cotter, John, and Smith(1973)). In this paper, the properties of the $L_3(m)$ type PBIB designs are investigated. Extended Property A and fractional BNAS are defined and a solution formula for the treatment effects in the $L_32(m)$ type designs is obtained.

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A Note on the Decomposition Property for $M^{X}$/G/1 Queues with Generalized Vacations (일반휴가형 $M^{X}$/G/1 대기행렬의 분해속성에 대한 소고)

  • Chae, Kyung-Chul;Choi, Dae-Won;Lee, Ho-Woo
    • Journal of Korean Institute of Industrial Engineers
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    • v.28 no.3
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    • pp.247-255
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    • 2002
  • The objective of this paper is to clarify the decomposition property for $M^{X}$/G/1 queues with generalized vacations so that the decomposition property is better understood and becomes more applicable. As an example model, we use the $M^{X}$/G/1 queue with setup time. For this queue, we correct Choudhry's (2000) steady-state queue size PGF and derive the steady-state waiting time LST. We also present a meaningful interpretation for the decomposed steady-state waiting time LST.

HOLOMORPHIC FUNCTIONS AND THE BB-PROPERTY ON PRODUCT SPACES

  • Boyd, Christopher
    • Journal of the Korean Mathematical Society
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    • v.41 no.1
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    • pp.39-50
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    • 2004
  • In [25] Taskinen shows that if $\{E_n\}_n\;and\;\{F_n\}_n$ are two sequences of Frechet spaces such that ($E_m,\;F_n$) has the BB-property for all m and n then (${\Pi}_m\;E_m,\;{\Pi}_n\;F_n$) also has the ΒΒ-property. Here we investigate when this result extends to (i) arbitrary products of Frechet spaces, (ii) countable products of DFN spaces, (iii) countable direct sums of Frechet nuclear spaces. We also look at topologies properties of ($H(U),\;\tau$) for U balanced open in a product of Frechet spaces and $\tau\;=\;{\tau}_o,\;{\tau}_{\omega}\;or\;{\tau}_{\delta}$.

WIENER-HOPF C*-ALGEBRAS OF STRONGL PERFORATED SEMIGROUPS

  • Jang, Sun-Young
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.6
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    • pp.1275-1283
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    • 2010
  • If the Wiener-Hopf $C^*$-algebra W(G,M) for a discrete group G with a semigroup M has the uniqueness property, then the structure of it is to some extent independent of the choice of isometries on a Hilbert space. In this paper we show that if the Wiener-Hopf $C^*$-algebra W(G,M) of a partially ordered group G with the positive cone M has the uniqueness property, then (G,M) is weakly unperforated. We also prove that the Wiener-Hopf $C^*$-algebra W($\mathbb{Z}$, M) of subsemigroup generating the integer group $\mathbb{Z}$ is isomorphic to the Toeplitz algebra, but W($\mathbb{Z}$, M) does not have the uniqueness property except the case M = $\mathbb{N}$.

MODULAR JORDAN TYPE FOR 𝕜[x, y]/(xm, yn) FOR m = 3, 4

  • Park, Jung Pil;Shin, Yong-Su
    • Journal of the Korean Mathematical Society
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    • v.57 no.2
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    • pp.283-312
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    • 2020
  • A sufficient condition for an Artinian complete intersection quotient S = 𝕜[x, y]/(xm, yn), where 𝕜 is an algebraically closed field of a prime characteristic, to have the strong Lefschetz property (SLP) was proved by S. B. Glasby, C. E. Praezer, and B. Xia in [3]. In contrast, we find a necessary and sufficient condition on m, n satisfying 3 ≤ m ≤ n and p > 2m-3 for S to fail to have the SLP. Moreover we find the Jordan types for S failing to have SLP for m ≤ n and m = 3, 4.

Educational Needs Analysis on NCS-based Intellectual Property Education (국가직무능력표준(NCS) 기반 지식재산교육을 위한 교육요구 분석)

  • Park, Ki-Moon
    • 대한공업교육학회지
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    • v.43 no.1
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    • pp.134-157
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    • 2018
  • This study surveyed and analyzed satisfaction and issues about an intellectual property education system, and educational needs for intellectual property NCS (intellectual property management, intellectual property information survey analysis, intellectual property assessment trade), in order to introduce and operate NCS-based education system that trains practical manpower in the field. The results of this study are as follows. First, satisfaction for intellectual property education system showed education contents (M=3.86), followed by lecture (M=3.79), teaching method and environment (M=3.66) and education assessment (M=3.50). The issues to be improved are low application in the current occupation due to no reflection of demands of industrial fields, as well as insufficient education contents system, lectures who fall short of education capability and interactions with students tend to stress theoretical knowledge more than practical ability, teaching method lacks application of educational medium, insufficient interest and motivation, assessment methods that fall short of theoretical knowledge and practical ability achievement, and that is theory-centered. Second, educational needs for intellectual property NCS showed intellectual property assessment trade (4.33), followed by intellectual property management (3.68), and intellectual property information survey analysis (2.99), which should be reviewed to reform or newly develop NCS-based education course. Conclusively, intellectual property education showed satisfaction above the average, but a job-centered education is demanded to elevate application in the industrial field, which puts emphasis more on practical ability than theory. For this, it is necessary to introduce intellectual property NCS reflecting demands of industrial field, and to reform or newly develop into NCS-based education course. In addition, intellectual property education needs to be operated by changed education paradigm, such as user-centered teaching method, not provided-centered, and performance and course-centered assessment method, not theoretical knowledge-centered.

THE SEPARABLE WEAK BOUNDED APPROXIMATION PROPERTY

  • Lee, Keun Young
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.1
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    • pp.69-83
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    • 2015
  • In this paper we introduce and study the separable weak bounded approximation properties which is strictly stronger than the approximation property and but weaker than the bounded approximation property. It provides new sufficient conditions for the metric approximation property for a dual Banach space.

Physical and Hand Properties of the Knitted Fabrics From Machine Knitting Fancy Yarns (기계편용 장식사 니트소재의 물성 및 감성 평가)

  • Park, Key-Yoon;Park, Myung-Ja
    • Journal of the Korea Fashion and Costume Design Association
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    • v.10 no.2
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    • pp.125-138
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    • 2008
  • For physical and hand property evaluation of fabrics, the knitted fabrics from 11 types of machines knitting fancy yarns, boucle (M1), knot (M2), snarl (M3), and slub (M4), tamtam (M5), tubular (M6), fur 1 (M7), bead (M8), fur 2 (M9), fur 3 (M10), and ladder (M11) yarns, were prepared with 7-10 G plain stitch. Washing test and pilling test had also been carried out. For hand properties by objective sensibility evaluation, 17 items of sir mechanical properties using KES-FB (Kawabata Evaluation System) had been measured. Then hand values of knitted fabrics were calculated with a calculation formula, namely KN-402-KT. Finally the total hand values were obtained through KN-301-WINTER. As a result of physical properties and objective evaluation for machines knitting fancy fabrics, most of them shrank in the direction of wale and course after the washing test, in which their shrinkage rate had a maximum of 3.5%. Therefore, the washing test indicated that the shrinkage ratio of knitted fabrics had a minor change. The results of the pilling test are mostly 4-5th grade, and all of the machines knitting fancy fabrics showed good results in the pilling resistance. In hand properties and objective sensibility evaluation, twisted fancy yarns, such as boucle (M1), knot (M2), snarl (M3), and slub (M4), were superior to bonding rigidity (B) and shear rigidity (G). The surface property between course and wale differs in all samples and course direction is tougher than wale direction. FUKURAMI (fullness and softness) of all samples have high values, besides NUMERI (smoothness) of tamtam (M5) and boucle (M1), which were rather good. Most samples except fur 1 (M7) had low KOSHI (stiffness) value. The total hand value (THV) of twisted yarns was low. This study proves that manufacturers, who plan knitting yarn products and knit fashion, can apply these data to develop machines knitting yarns and knits that fit the consumers' demands.

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DIRECT PROJECTIVE MODULES WITH THE SUMMAND SUM PROPERTY

  • Han, Chang-Woo;Choi, Su-Jeong
    • Communications of the Korean Mathematical Society
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    • v.12 no.4
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    • pp.865-868
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    • 1997
  • Let R be a ring with a unity and let M be a unitary left R-module. In this paper, we establish [5, Proposition 2.8] by showing the proof of it. Moreover, from the above result, we obtain some properties of direct projective modules which have the summand sum property.

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