• Title/Summary/Keyword: (m, n)-regular

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NONNEGATIVE INTEGRAL MATRICES HAVING GENERALIZED INVERSES

  • Kang, Kyung-Tae;Beasley, LeRoy B.;Encinas, Luis Hernandez;Song, Seok-Zun
    • 대한수학회논문집
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    • 제29권2호
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    • pp.227-237
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    • 2014
  • For an $m{\times}n$ nonnegative integral matrix A, a generalized inverse of A is an $n{\times}m$ nonnegative integral matrix G satisfying AGA = A. In this paper, we characterize nonnegative integral matrices having generalized inverses using the structure of nonnegative integral idempotent matrices. We also define a space decomposition of a nonnegative integral matrix, and prove that a nonnegative integral matrix has a generalized inverse if and only if it has a space decomposition. Using this decomposition, we characterize nonnegative integral matrices having reflexive generalized inverses. And we obtain conditions to have various types of generalized inverses.

A GRADED MINIMAL FREE RESOLUTION OF THE m-TH ORDER SYMBOLIC POWER OF A STAR CONFIGURATION IN ℙn

  • Park, Jung Pil;Shin, Yong-Su
    • 대한수학회지
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    • 제58권2호
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    • pp.283-308
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    • 2021
  • In [30] the author finds a graded minimal free resolution of the 2-nd order symbolic power of a star configuration in ℙn of any codimension r. In this paper, we find that of any m-th order symbolic power of a star configuration in ℙn of codimension 2, which generalizes the result of Galetto, Geramita, Shin, and Van Tuyl in [15, Theorem 5.3]. Furthermore, we extend it to the m-th order symbolic power of a star configuration in ℙn of any codimension r for m = 3, 4, which also generalizes the result of Biermann et al. in [1, Corollaries 4.6 and 5.7]. We also suggest how to find a graded minimal free resolution of the m-th order symbolic power of a star configuration in ℙn of any codimension r for m ≥ 5.

소프트 골프 스윙 시 스윙 패턴 분석 (The Analysis of Swing Pattern during the Soft Golf Swing)

  • 소하주;유미;곽기영;김성현;김남균;김동욱
    • 대한의용생체공학회:의공학회지
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    • 제31권2호
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    • pp.151-161
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    • 2010
  • Soft Golf is a newly developed recreational sport in our research team aimed to become a safe and easy-to-learn sport for all ages. The advantage of Soft Golf stems from lighter weight of the club and much larger area of the sweet spot. The purpose of this study is to analyze ground reaction force(GRF) and joint angle during soft Golf club and regular golf club swing. The GRF of golf swing was recorded by 3-D motion analysis system and forceplate. The joint angle of golf swing was obtained from computer simulation model. The GRF and joint angle of golf swing are used to analysis of golf swing pattern. The pattern of GRF and joint angle during soft golf club swing was similar to that during regular golf club swing. This result means that soft golf club reduces the risk of injury and has an effect on similar entertainment of regular golf.

파일럿 규모의 침지식 부직포 여재 활성슬러지 공정의 시스템 처리 특성에 관한 연구 (Pilot Scale Test of Non-woven Fabric Filter Separation Activated Sludge Process for Practical Application on Domestic Wastewater Reclamation)

  • 이상우;최철회;박영미;서규태
    • 상하수도학회지
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    • 제20권2호
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    • pp.289-294
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    • 2006
  • A pilot scale non-woven fabric filter separation activated sludge system was investigated for practical application on domestic wastewater reclamation and reuse. The system was operated in A/O (Anaerobic/Oxic) process with submerged filter module in the aerobic compartment. In the test of two types of filter materials ($70g/m^2$ and $35g/m^2$), the initial flux (0.42m/d) could be maintained for about three months by regular air backwashing of $70g/m^2$ filter at 0.3m water head. The removal efficiency of organic matter by the system was BOD 93.3%, CODcr 96.3%, SS 96.7%. The effluent quality was 7.8mg/L, 12mg/L and 5mg/L for BOD, CODcr and SS, respectively. The water quality was enough to meet a standard for domestic reuse without human contact. T-N removal efficiency was 49.9% at internal recycle rate 2Q and C/N ratio 3.3. The removal efficiency of T-P was 50% with average effluent concentration, 2.6mg/L.

동결융해시험에 의한 "CSG" 재료의 장기강도 및 내구 특성 (Long-Term Compressive Strength and Durability Properties of "CSG" Materials by Freezing-Thawing Test)

  • 김광일;김기영;문홍득;권혁춘
    • 한국지반환경공학회 논문집
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    • 제17권12호
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    • pp.35-43
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    • 2016
  • 시공기술의 발전과 더불어 댐 제방 건설과 환경문제가 크게 대두되고 있는 실정이다. 최근 여러 국가에서 댐 제방 건설시 골재, 시공성, 기초지반에 대한 요구가 상대적으로 높지 않은 CSG(Cemented Sand and Gravel)재료를 활발히 연구, 적용하고 있다. CSG 재료는 시공현장 하상골재, 현장에서 발생하는 암버럭 등을 인위적으로 입도조정하지 않고 최대골재 치수만을 선별하여 소량의 시멘트와 혼합하여 강도증가 및 급속시공이 가능하다. CSG 재료는 인위적인 석산개발 등에 의한 환경파괴를 최소화함으로써 환경부하저감 및 공사비 등의 측면에서 비교적 경제적이며 친환경적이다. CSG 재료의 외부환경은 일반콘크리트가 접하는 수화열환경과는 달리 건습반복, 동결융해 등의 환경에 노출되게 된다. 그러므로 댐 제방구조물의 중요성을 감안하여 CSG 재료의 내구성에 대한 연구가 필요하다. 본 연구는 CSG 재료의 내구성에 대하여 고찰하고자 현장채취 CSG 코어재료에 대하여 동결융해 시험을 실시하였다. 시험결과, CSG 재료의 내구성 지수는 시멘트함량 $0.4{\sim}0.6kN/m^3$의 경우 30~40, $0.8{\sim}1.0kN/m^3$의 경우 40 이상으로 나타났다. 일축압축강도는 $0.4{\sim}0.6kN/m^3$에서 동결융해 전의 30~50%, $0.8~1.0kN/m^3$에서 동결융해 전의 40~70%로 감소하는 것으로 나타났다. 결과적으로 시멘트함량 $0.8kN/m^3$이상의 경우 강도 및 내구성 측면에서 비교적 타당한 것으로 판단된다.

MYLLER CONFIGURATIONS IN FINSLER SPACES. APPLICATIONS TO THE STUDY OF SUBSPACES AND OF TORSE FORMING VECTOR FIELDS

  • Constantinescu, Oana
    • 대한수학회지
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    • 제45권5호
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    • pp.1443-1482
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    • 2008
  • In this paper we define a Myller configuration in a Finsler space and use some special configurations to obtain results about Finsler subspaces. Let $F^{n}$ = (M,F) be a Finsler space, with M a real, differentiable manifold of dimension n. Using the pull back bundle $({\pi}^{*}TM,\tilde{\pi},\widetilde{TM})$ of the tangent bundle $(TM,{\pi},M)$ by the mapping $\tilde{\pi}={\pi}/TM$ and the Cartan Finsler connection of a Finsler space, we obtain an orthonormal frame of sections of ${\pi}^{*}TM$ along a regular curve in $\widetilde{TM}$ and a system of invariants, geometrically associated to the Myller configuration. The fundamental equations are written in a very simple form and we prove a fundamental theorem. Important lines in a Finsler subspace are defined like special lines in a Myller configuration, geometrically associated to the subspace: auto parallels, lines of curvature, asymptotes. Torse forming vector fields with respect to the Cartan Finsler connection are characterized by means of the invariants of the Frenet frame of a versor field along a curve, and the new notion of torse forming vector fields in the sense of Myller is introduced. The particular cases of concurrence and parallelism in the sense of Myller are completely studied, for vector fields from the distribution $T^m$ of the Myller configuration and also from the normal distribution $T^p$.

고속 행렬 전치를 위한 효율적인 VLSI 구조 (An efficient VLSI architecture for high speed matrix transpositio)

  • 김견수;장순화;김재호;손경식
    • 한국통신학회논문지
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    • 제21권12호
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    • pp.3256-3264
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    • 1996
  • This paper presents an efficient VLSI architecture for transposing matris in high speed. In the case of transposing N*N matrix, N$^{2}$ numbers of transposition cells are configured as regular and spuare shaped structure, and pipeline structure for operating each transposition cell in paralle. Transposition cell consists of register and input data selector. The characteristic of this architecture is that the data to be transposed are divided into several bundles of bits, then processed serially. Using the serial transposition of divided input data, hardware complexity of transpositioncell can be reduced, and routing between adjacent transposition cells can be simple. the proposed architecture is designed and implemented with 0.5 .mu.m VLSI library. As a result, it shows stable operation in 200 MHz and less hardware complexity than conventional architectures.

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생활양식과 식이성 요인이 성인의 혈장 총 유리기포집 항산화능(TRAP) 수준에 미치는 영향 (Effect of Life Style and Dietary Factors on Plasma Total Radical-Trapping Antioxidant Potential (TRAP) in Korea Adult)

  • 송미영;김정신;박은주;강명희
    • Journal of Nutrition and Health
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    • 제34권7호
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    • pp.762-769
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    • 2001
  • Recently developed TRAP assay(Total Radical-trapping Antioxidant Potential) is a new technique which enable effectively the measurement of total antioxidant status in the plasma. Researches using TRAP method have rarely been reported in Korea. Therefore, we investigated effects of various life-style and dietary factors on plasma TRAP level in Korean adult population. The subjects consisted of 161 health adult male(n=105) and female (n=56) aged 19-57. A self-administered questionnaire ascertained life-style factors including smoking habits, alcohol use, physical activity. Dietary factors were analyzed by 24 hour recall method. TRAP was determined spectrophotometrically in plasma at 734nm. Mean plasma TRAP concentrations were slightly higher in males (1.35$\pm$0.02mM) and females(1.30$\pm$0.02mM) without significance. There were significant correlations between plasma TRAP levels and life-style factors including exercise and smoking Plasma TRAP levels were affected more by exercise than by smoking. Moderate amount exerciser(exercise time $\geq$30min/day) had significantly higher level of plasma TRAP levels in male smokers(1.33$\pm$0.03mM) were significantly lower than those in male nonsmokers(1.39$\pm$0.01mM, p<0.05), but the difference was not seen in female subjects. Intakes of vitamin C(r=0.288, p=0.007) or folate (r=0.258, p=0.016) were positively correlated with plasma TRAP levels in nonsmokers, but those relations were not seen in smokers. Dietary factors such as vegetables (r=0.288, p=0.007)or folate (r=0.258, p=0.016) were positively correlated with plasma TRAP levels in nonsmokers, but those relations were not seen in smokers. Dietary factors such as vegetables (r=0.277, p=0.009) and legumes(r=0.263, p=0.013) consumption were positively related to plasma TRAP concentrations also in nonsmokers only. Regular green tea drinkers showed significantly greater level of plasma TRAP than the non green tea drinkers(1.36$\pm$0.01mM vs 1.30$\pm$0.03mM, p<0.05). These results suggest that the regular exercise($\geq$30min daily), nonsmoking, and consumption of vegetables, legumes and green tea would contribute to improving plasma TRAP levels in Korean adults.

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AN M/G/1 QUEUE WITH GENERALIZED VACATIONS AND EXHAUSTIVE SERVICE

  • Lim, Jong-Seul;Lee, Sang-Heon
    • Journal of applied mathematics & informatics
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    • 제6권1호
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    • pp.309-320
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    • 1999
  • Models of single-server queues with vacations have been widely used to study the performance of many computer communi-cation and production systems. In this paper we analyze an M/G/1 queue with generalized vacations and exhaustive service. This sys-tem has been shown to possess a stochastic decomposition property. That is the customer waiting time in this system is distributed as the sum of the waiting time in a regular M/G/1 queue with no va-cations and the additional delay due to vacations. Herein a general formula for the additional delay is derived for a wide class of vacation policies. The formula is also extended to cases with multiple types of vacations. Using these new formulas existing results for certain vacation models are easily re-derived and unified.