• 제목/요약/키워드: graded ring

검색결과 59건 처리시간 0.021초

FOOTPRINT AND MINIMUM DISTANCE FUNCTIONS

  • Nunez-Betancourt, Luis;Pitones, Yuriko;Villarreal, Rafael H.
    • 대한수학회논문집
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    • 제33권1호
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    • pp.85-101
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    • 2018
  • Let S be a polynomial ring over a field K, with a monomial order ${\prec}$, and let I be an unmixed graded ideal of S. In this paper we study two functions associated to I: The minimum distance function ${\delta}_I$ and the footprint function $fp_I$. It is shown that ${\delta}_I$ is positive and that $fp_I$ is positive if the initial ideal of I is unmixed. Then we show that if I is radical and its associated primes are generated by linear forms, then ${\delta}_I$ is strictly decreasing until it reaches the asymptotic value 1. If I is the edge ideal of a Cohen-Macaulay bipartite graph, we show that ${\delta}_I(d)=1$ for d greater than or equal to the regularity of S/I. For a graded ideal of dimension ${\geq}1$, whose initial ideal is a complete intersection, we give an exact sharp lower bound for the corresponding minimum distance function.

Design of intelligent estimation of composite fluid-filled shell for three layered active control structure

  • Ghamkhar, Madiha;Hussain, Muzamal;Khadimallah, Mohamed A.;Ayed, Hamdi;Naz, Muhammad Yasin;Tounsi, Abdelouahed
    • Computers and Concrete
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    • 제29권2호
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    • pp.117-126
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    • 2022
  • The vibrational characteristic of three-layered cylindrical shell (CS) submerged in fluid with the ring support has been studied. The inner and outer layer is supposed to construct by isotropic layer. The composition of central layer is of functionally graded material type. Acoustic Wave condition has been utilized to present the impact of fluid. The central layer of cylindrical shell (CS) varies by volume fraction law that has been expressed in terms of polynomial. The main shell frequency equation has been obtained by theory of Love's shell and Rayleigh-Ritz technique. The oscillation of natural frequency has been examined under a variety of end conditions. The dependence of axial model has been executed with the help of characteristic beam function. The natural frequencies (NFs) of functionally graded material (FGM) shell have been observed of cylindrical shell along the shell axial direction. Different physical parameters has been used to examine the vibration characteristics due to the effect of volume fraction law. MATLAB software has been used to get result.

우도응회과의 분출기기구와 분출과정 (Eruptive mechanisms and processes at Udo tuff cone, Udo Island, Korea)

  • Hwang, Sang-Koo
    • 암석학회지
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    • 제1권2호
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    • pp.91-103
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    • 1992
  • Eruptive mechanisms and processes at Udo tuff cone can be inferred from indicative characters of products, bedforms and lithofacies, and ring faults. In terms of bedforms and lithofa-cies in particular, massive lapilli tuff beds and chaotic lapilli tuff beds are derived from subaerial falls of aggregated tephra of wet tephra finger jets, occurring dominantly at the lower sequences of proximal part at the tuff cone. Crudely stratified lapilli tuff are derived from subaerial falls of slightly aggregated tephra of less wet tephra finger jets, whereas reversely graded lapilli tuff beds are from slightly disaggregated subaerial falls of continuous uprush. Both beds frequently occur in the middle sequences at proximal and near medial part of the tuff cone. Block and lapilli tephra lenses, ash-coated lapilli tephra beds(lenses) and thin-bedded tuff beds are derived from extremely disaggregated subaerial falls of dry tephra in the continuous uprush, frequently occurring at the upper sequences of medial part at the tuff cone. Udo tuff cone is a basaltic volcano emergent through the sea water surface while water could flood across or into the vent area. Emergence of the tuff cone was from the type-Surtseyan eruption characterized by earlier tephra finger jets and later continuous uprush columns of tephra with copious volumes of steam. Explosions began when boiling of wter produced a bubble column reducing the hydrostatic pres-sure, allowing exsolution of gases from the magma. This expansion of magma into a vesiculating froth fragmented the magma and permitted mixing of magma and water so that a more vigorous generation of steam could proceed. Tephra finger jetting explosions continued to build the crater rims, then remove water from the vent that their deposits flowed like slsurries until the continuous uprush explosion ensued. Continuous uprush explosions were associated with most rapid accumula-tion of tephra. The increasing volume rate led to partial removal of water from the vent area by the newly tephra ring so that more vigorous activity could be attended by a reducing water supply. This might restrain surplus of cold water entering the vent and thus enhance the vigour of the eruption by allowing optimal heat exchange. Eventually the crater became so deep and unsuported that piecemeal sliding, or massive subsidence on indipping ring faults, filled and closed the vent, and the cycle of explosions and collapse began anew.

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ON THE MINIMAL FREE RESOLUTION OF CURVES OF MAXIMAL REGULARITY

  • Lee, Wanseok;Park, Euisung
    • 대한수학회보
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    • 제53권6호
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    • pp.1707-1714
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    • 2016
  • Let $C{\subset}{\mathbb{P}}^r$ be a nondegenerate projective curve of degree d > r + 1 and of maximal regularity. Such curves are always contained in the threefold scroll S(0, 0, r - 2). Also some of such curves are even contained in a rational normal surface scroll. In this paper we study the minimal free resolution of the homogeneous coordinate ring of C in the case where $d{\leq}2r-2$ and C is contained in a rational normal surface scroll. Our main result provides all the graded Betti numbers of C explicitly.

GLn- DECOMPOSITION OF THE SCHUR COMPLEX Sr2 φ)

  • Choi, Eun J.;Kim, Young H.;Ko, Hyoung J.;Won, Seoung J.
    • 대한수학회보
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    • 제40권1호
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    • pp.29-51
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    • 2003
  • In this paper we construct a natural filtration associated to the plethysm $S_{r}(\wedge^2 \varphi)$ over arbitrary commutative ring R. Let $\phi$ : G longrightarrow F be a morphism of finite free R-modules. We construct the natural filtration of $S_{r}(\wedge^2 \varphi)$ as a $GL(F){\times}GL(G)$- complex such that its associated graded complex is ${\Sigma}_{{\lambda}{\in}{\Omega}_{\gamma}}=L_{2{\lambda}{\varphi}$, where ${{\Omega}_{\gamma}}^{-}$ is a set of partitions such that $│\wedge│\;=;{\gamma}\;and\;2{\wedge}$ is a partition of which i-th term is $2{\wedge}_{i}$. Specializing our result, we obtain the filtrations of $S_{r}(\wedge^2 F)\;and\;D_{r}(D_2G).

Optimization of CANFLEX-RU Fuel Bundle for CANDU-6

  • Lee, Y. O.;C. J. Jeong;K. S. Sim;J. S. Jun;Park, G. S.;Kim, B. G.;Park, J. H.;H. C. Suk
    • 한국원자력학회:학술대회논문집
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    • 한국원자력학회 1995년도 추계학술발표회논문집(1)
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    • pp.35-40
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    • 1995
  • Considering the higher discharge burnup, lower channel refuelling rate, lower linear element rating(LER), lower coolant void reactivity and axial power shape, CANFLEX-RU fuel bundle is optimized for CANDU-6 by grading the fissile composition in the ring-wise of the bundle and by applying fuel management scheme appropriately. The fissile composition of the fuel bundle is graded as the recovered uranium (0.9 w/o U-235) in the outer and intermediate elements, depleted Uranium (0.2 w/o U-235) in the center element, natural uranium (0.71 w/o U-235) in the inner elements. Enrichment is not required for these fuel. The fissile composition is optimized by lattice calculation and by time-averaged reactor simulation. CANFLEX-RU optimized for CANDU-6 resulted to be the 15% lower channel refuelling rate, acceptable axial power profile and power envelope, 70% higher discharge burnup, 15% lower LER and not increase coolant void reactivity compared with the 37-element natural uranium bundle for CANDU-6.

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고추잠자리의 精子完成의 電子顯微鏡的 硏究 (An Electron Microscopy of Spermiogenesis in the Dragonfly, Crocothemis servilia Drury)

  • 백경기;최춘근;이국범
    • 한국동물학회지
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    • 제15권3호
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    • pp.133-147
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    • 1972
  • 고추잠자리(Crocothemis servilia Drury)의 精子完成過程을 究明하기 爲하여, 本 硏究에 着手한 바, 다른 無脊椎動物의 精子完成過程에서 이미 밝혀진 構造들과 比較해 가면서 特殊한 分化相을 觀察한 結果, 첫째 核의 染色質이 漸次 濃縮되기 始作함에 따라서 核의 모양도 球形에서 楕圓形으로, 楕圓形에서 圓錐形으로 變하였으며 둘째로 核이 細胞의 一極端으로 移動하고 核의 尾部가 陷入되며 셋째 中心粒이 核 陷入 部位에 位置하여 여기에서부터 軸 가 形成된다. 넷째는 골지體에서 起因된 尖體顆粒은 核의 先端으로 移動되어 결국 尖體를 形成하게 된다.

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광학적으로 유발된 망막흐림의 정도에 따른 시력감소의 개인차와 인식 대비도의 변화 (Individual Difference in the Decrease of Visual Acuity and the Change in Contrast Threshold According to the Level of Optically Induced Retinal Defocus)

  • 김상엽;문병연;조현국
    • 한국안광학회지
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    • 제19권1호
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    • pp.93-98
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    • 2014
  • 목적: 광학적으로 유발된 망막흐림의 정도에 따른 시력감소의 개인차와 대비도의 변화에 따른 개인차를 알아보았다. 방법: 전체 69안을 대상으로 소수시력 각 단계별로 10단계의 다른 대비도로 구성된 시표를 사용하였다. 대상자들의 굴절이상을 완전교정한 후 눈 앞에 +0.25 D씩 순차적으로 증가시켜 망막흐림을 유발한 다음 각 시표에 대한 단안시력과 인식대비도를 측정하였다. 결과: 유발된 망막상의 흐림이 증가됨에 따라 시력은 점차적으로 감소되었다. +0.25 D 부가하여 유발된 망막흐림에서 시력저하의 개인차는 1.2~0.6의 범위로 나타났다. +0.50 D와 +0.75 D 부가되었을 경우 각각 1.0~0.3과 0.9~0.1 범위의 개인차를 보였다. +1.00 D가 부가되었을 때 일부 0.1 시표를 인식하지 못하는 대상안이 나타났고, +1.75 D 부가된 경우 모든 대상안들이 0.1 시표를 인식하지 못하였다. 그리고 망막흐림의 정도가 증가할수록 인식 대비도는 점진적으로 감소하였다. 결론: 최종적인 굴절이상 교정값을 결정할 때 잔여굴절이상의 정도에 따른 시력감소의 개인차를 고려해야 할 것이다.

Self Calibration Current Bias 회로에 의한 10-bit 100 MSPS CMOS D/A 변환기의 설계 (A 10-bit 100 MSPS CMOS D/A Converter with a Self Calibration Current Bias Circuit)

  • 이한수;송원철;송민규
    • 대한전자공학회논문지SD
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    • 제40권11호
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    • pp.83-94
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    • 2003
  • 본 논문에서는 빠른 정착시간을 갖는 전류셀(Current Cell) 매트릭스의 구조와 출력의 Gain error를 보정할 수 있는 Self calibration current bias 회로의 기능을 가진 고성능 10-bit D/A 변환기를 제안한다. 매트릭스 구조 회로의 복잡성으로 인한 지연시간의 증가 및 전력 소모를 최소화하기 위해 상위 6MSB(Most Significant Bit)전류원 매트릭스와 하위 4LSB(Least Significant Bit)전류원 매트릭스로 구성된 2단 매트릭스 구조로 설계되어 있다. 이러한 6+4 분할 구조를 사용함으로써 전류 원이 차지하는 면적과 Thermometer decoder 부분의 논리회로를 가장 최적화 시켜 회로의 복잡성과 Chip 사이즈를 줄일 수 있었고 낮은 Glitch 특성을 갖는 저 전력 D/A 변환기를 구현하였다. 또한 self Calibration이 가능한 Current Bias를 설계함으로서 이전 D/A 변환기들의 칩 외부에 구현하던 Termination 저항을 칩 내부에 구현하고 출력의 선형성 및 정확성을 배가시켰다. 본 연구에서는 3.3V의 공급전압을 가지는 0.35㎛ 2-poly 4-metal N-well CMOS 공정을 사용하였고, 모의 실험결과에서 선형성이 매우 우수한 출력을 확인하였다. 또한 소비전력은 45m W로 다른 10bit D/A 변환기에 비해 매우 낮음을 확인 할 수 있었다. 실제 제작된 칩은 Spectrum analyzer에 의한 측정결과에서 100㎒ 샘플링 클럭 주파수와 10㎒ 입력 신호 주파수에서 SFDR은 약 65㏈로 측정되었고, INL과 DNL은 각각 0.5 LSB 이하로 나타났다. 유효 칩 면적은 Power Guard ring을 포함하여 1350㎛ × 750 ㎛ 의 면적을 갖는다.