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

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

  • Park, Jung Pil;Shin, Yong-Su
    • Journal of the Korean Mathematical Society
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    • v.58 no.2
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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.

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

  • So, H.J.;Yu, M.;Kwak, K.Y.;Kim, S.H.;Kim, N.G.;Kim, D.W.
    • Journal of Biomedical Engineering Research
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    • v.31 no.2
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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.

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

  • Lee, Sang-Woo;Choi, Chul-hoi;Park, Young-mi;Seo, Gyu-Tae
    • Journal of Korean Society of Water and Wastewater
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    • v.20 no.2
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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.

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

  • Jin, Guangri;Kim, Kiyoung;Moon, Hongduk;Quan, Hechun
    • Journal of the Korean GEO-environmental Society
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    • v.17 no.12
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    • pp.35-43
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    • 2016
  • With the development of construction technology, constructions of dam and levee (dike) as well as the environmental problems are becoming issues. Recently, many countries have tried to develop and used CSG (Cemented Sand and Gravel), which needs fewer requirements than others in aggregates, constructability and ground condition during the dam construction. Mixing up with small amount of cement, CSG is able to increase the strength and proceed accelerated construction without artificial gradation adjustment of riverbed aggregate and crushed rock on construction site. Thus, CSG can minimize environmental damage resulted from quarries mining and reduce cost of construction. Unlike heat of hydration condition that regular concrete usually met, CSG exposes to repeated dry-wet and freezing and thawing environment. Thus, consider the importance of structure of dam or levee, intensive study on the durability of CSG is needed. In this study, freezing and thawing experiment was carried out to evaluate the durability of CSG. In results, the durability factor of CSG is 30~40 or >40 when the amount of cement is $0.4{\sim}0.6kN/m^3$ or $0.8{\sim}1.0kN/m^3$, respectively. The unconfined compressive strength is reduced to 30~50% or 40~70% when the amount of cement is $0.4{\sim}0.6kN/m^3$ or $0.8{\sim}1.0kN/m^3$, respectively. Taken together, the strength and durability of CSG is reliable when the amount of cement is over $0.8kN/m^3$.

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

  • Constantinescu, Oana
    • Journal of the Korean Mathematical Society
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    • v.45 no.5
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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 $T^p$.

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

  • 김견수;장순화;김재호;손경식
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.12
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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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Effect of Life Style and Dietary Factors on Plasma Total Radical-Trapping Antioxidant Potential (TRAP) in Korea Adult (생활양식과 식이성 요인이 성인의 혈장 총 유리기포집 항산화능(TRAP) 수준에 미치는 영향)

  • 송미영;김정신;박은주;강명희
    • Journal of Nutrition and Health
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    • v.34 no.7
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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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    • v.6 no.1
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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.

The external and internal morphological standard of original plants and herbal states in 2 kind of Arisaematis Rhizoma (2종 천남성(天南星)의 외부(外部) 및 내부형태(內部形態)에 대한 연구)

  • Kim, Hong-Jun;Yun, Ju-Bong;Ju, Young-Sung
    • Korean Journal of Oriental Medicine
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    • v.12 no.2 s.17
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    • pp.63-73
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    • 2006
  • In the original plant of Arisaematis Rhizomas, the features of external and internal shape of Arisaema amurense var. serratum $N_{AKAI}$ and A. amurense $_{MAXIM}$. are as follows. 1. In the external shape of original plant, Arisaema amurense var. serratum $N_{AKAI}$ has high stem, an oval-elliptic leaflet and a serrate leaf margin. But A. amurense $M_{AXIM}$ has a relatively low stem, an upside oval leaflet and no serrate leaf margin. 2. On the herbs character of original plant, Ansaema amurense var. serratum $N_{AKAI}$ is small in height and diameter, but A. amurense $M_{AXIM}$ is relatively large in height and diameter. 3. On the gathered herbs character of original plant, the section of Arisaema amurense var. serratum $N_{AKAI}$ is brightly white, easily spilt and strong scent. But the section of A. amurense $M_{AXIM}$ is thin yellowish brown, not easily spilt and weak scent. Also the grade of gathered herbs, both can be classified by diameter and external scent. 4. In the current herbs character, Korean and Sichuan Province products are irregullar shape and have no scent, Jilin Province products are regular shape. Also, Guangxi Province products are small size and concave in one side, Hebei Province products are irregular size and shape. 5. In internal shape of original plant, epidermal cell of Arisaema amurense var. serratum is very tight. With the except of micro difference in parenchyma cell of cortex, on the whole there are nearly no differences with A. amurense $M_{AXIM}$. Also, samely in the internal shape, according to collecting sites, epidermis exhibits a lot layer in curving state and secreting duct is developed and vascular bundle and exists between parenchyma cell of cortex. In the future, additional study is needed to distinguish herb and effect between same genus-degree of relatedness.

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