• 대한수학회보
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• 제31권2호
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• pp.237-242
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• 1994

One of the most well-known geometric lattices is a partition lattice. Every upper interval of a partition lattice is a partition lattice. The whitney numbers of a partition lattices are the Stirling numbers, and the characteristic polynomial is a falling factorial. The set of partitions with a single non-trivial block containing a fixed element is a Boolean sublattice of modular elements, so the partition lattice is supersolvable in the sense of Stanley [6]. In this paper, we rephrase four results due to Heller[1] and Murty [4] in terms of matroids and give several characterizations of partition lattices. Our notation and terminology follow those in [8,9]. To clarify our terminology, let G, be a finte geometric lattice. If S is the set of points (or rank-one flats) in G, the lattice structure of G induces the structure of a (combinatorial) geometry, also denoted by G, on S. The size vertical bar G vertical bar of the geometry G is the number of points in G. Let T be subset of S. The deletion of T from G is the geometry on the point set S/T obtained by restricting G to the subset S/T. The contraction G/T of G by T is the geometry induced by the geometric lattice [cl(T), over ^1] on the set S' of all flats in G covering cl(T). (Here, cl(T) is the closure of T, and over ^ 1 is the maximum of the lattice G.) Thus, by definition, the contraction of a geometry is always a geometry. A geometry which can be obtained from G by deletions and contractions is called a minor of G.

• 대한의용생체공학회:의공학회지
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• 제14권1호
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• pp.51-62
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• 1993

An experimental study was performed for the preparation of living skin-equivalent by the using collagen gel contraction with human fibroblasts as neodermls and cultured human keratinocytes as neoderm is . The results were as follows ; 1) The rate of collagen gel contraction was dependent on the number of fibroblasts into the lattice and collagen contraction was progressed according to the increment of the number of the cells. 2) The rate of collagen gel contraction was progressed according to the decrement of the contraction of the collagen. 3) The rate of gel contraction was progressed according to the increment of serum concentration in the fixed concentration of the fibroblasts and collagen. 4) The lattice contraction was decreased according to the increment of the population doublings of the fibroblasts. 5) Macroscopically, the artificial dermis was gray white in color and tissue-like consistency and elas- ticity. 6) Microscopically, three dimensionally contracted artificial dermis showed more dense fibroblasts and its newly formed collagen fibrils in the matrix than one dimensionally contracted one. 7) Finally prepared skin-equivalent showed good attachment of living stratified keratinocytes to the dermal equivalent microscopically. It has been proposed that newly formed skin-equivalent is suitable for the graft of extensively and deeply burned patients. Shortening of the manufacturing period of skin-equivalent and development of conservation technique as a readily usable state are to be solved for our ongoing works.

• 대한금속재료학회지
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• 제50권10호
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• pp.703-710
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• 2012

The effects of the ordering reaction on high temperature mechanical behavior is investigated by tensile tests at $2{\times}10^{-2}/s-3.3{\times}10^{-5}/s$ up to $745^{\circ}C$. The tensile deformed region is examined by differential scanning calorimeter (DSC), TEM, and high resolution neutron diffraction (HRPD). The results showed that a plateau of tensile strength appeared at $150-500^{\circ}C$ whereas the elongation minimum occurred at about $600^{\circ}C$. This suggests that the occurrence of a plateau does not cause the elongation minimum. The temperature of the elongation minimum decreases with the strain rate. HRPD results show a lattice contraction in the tensile deformed specimen at the temperature of the plateau occurring region. The plateau of tensile strength, the lattice contraction, and the occurrence of serration appeared in the same temperature region.

• 한국신재생에너지학회:학술대회논문집
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• 한국신재생에너지학회 2011년도 춘계학술대회 초록집
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• pp.150.2-150.2
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• 2011

Unlike non-ionic clathrate hydrates stably formed by van der Waals interaction between a guest molecule and a surrounding host framework, ionic clathrate hydrates are stabilized by ionic interaction between an ionic guest molecule and the host water-framework. Here, we firstly described the stable entrapment of the superoxide ions in ${\gamma}$-irradiated $Me_4NOH+O_2$ hydrate. Owing to peculiar direct guest-guest ionic interaction, the lattice structure of ${\gamma}$-irradiated $Me_4NOH+O_2$ hydrate shows significant change of lattice contraction behavior even at relatively high temperature(120K). Particularly, we note that ionic-induced dimensional change is much greater than thermal-induced change. Such findings are expected to provide useful information for a better understanding of unrevealed nature of clathrate hydrate fields.

• 대한약학회:학술대회논문집
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• 대한약학회 2000년도 NEW STRATEGY FOR DRUG DEVELOPMENT IN POST-GENOMIC ERA(대한약학회)
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• pp.146.1-146.1
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• 2000

• 한국전기전자재료학회논문지
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• 제15권1호
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• pp.24-29
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• 2002

In this paper, the microstructure and the dielectric properties of Sr$\_$1-x/CaxTiO$_3$(0$\leq$x$\leq$0.2)-based grain boundary layer ceramics were investigated. The sintering temperature and time were 1420∼152 0$\^{C}$ and 4 hours in N$_2$ gas, respectively. The average grain size and the lattice constant were decreased with increasing content of Ca, but the average grain size was increased with increase of sintering temperature. The second phase foamed by the thermal diffusion of CuO from the surface leads to verb high apparent dielectric constant, $\xi$$\_$r/>50000 and low dielectric loss, tan$\delta$<0.05. X-ray diffraction patterns of Sr$\_$1-x/CaxTiO$_3$ exhibited cubic structure, and the peaks shifted upward and the peak intensity were decreased with x. This is due to the lattice contraction as Sr is replaced by Ca with a smaller ionic radius. The specimens treated thermal diffusion for 2hrs in 1150$\^{C}$ exhibited nonlinear current-voltage characteristic, and its nonlinear coefficient(a) was overt 7.

• 한국세라믹학회:학술대회논문집
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• 한국세라믹학회 2000년도 추계총회,초청강연,특별강연,연구발표회
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• pp.156.2-156
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• 2000

• 대한기계학회논문집B
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• 제37권6호
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• pp.591-597
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• 2013

대부분의 비뉴턴 유체 모델의 경우 격자볼쯔만 법을 이용한 3차원 유동해석에 효율적으로 적용하기 어려운 문제점을 가지고 있다. 이 연구에서는 이를 해결하기 위해 개발된 격자볼쯔만법 전용 비뉴턴 유체 모델인 Hydro-Kinetic 모델을 3차원 격자볼쯔만법 해석에 적용할 수 있도록 수정하고 이를 3차원 급축소 및 급확대 유동에 적용하여 얻은 결과를 통해서 강한 전단유동장에서 HK모델 유체의 거동을 분석하였다. HK모델은 변형률과 완화시간과의 관계를 나타낸 모델로 강한 전단유동장에서 국소적으로 큰 변형률이 발생하는 경우 완화시간이 급격하게 감소하여 해석이 불안정해지는 경향이 있어 격자볼쯔만법 해석안정성을 확보하기 위해서는 HK모델의 인수 ${\Gamma}$와 완화시간을 일정한 구간에서 변화하도록 제한 할 필요가 있다.

• 한국초전도학회:학술대회논문집
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• 한국초전도학회 2004년도 High Temperature Superconductivity Vol.XIV
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• pp.62-62
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• 2004

• 한국전기전자재료학회논문지
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• 제24권12호
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• pp.955-961
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• 2011

We investigated the physical properties of stoichiometric and non-stoichiometric oxide doped complex perovskite, $Ba(Zn_{1/3}Ta_{2/3})O_3$ ceramics and their impacts on the microwave dielectric performances using various characterization techniques such as X-ray diffraction, scanning electron microscopy, transmission electron microscopy, and network analyzer. According to the measurement of lattice constant changes, anomalous lattice volume contraction of $ZrO_2$ doped $Ba(Zn_{1/3}Ta_{2/3})O_3$ sample only showed the dielectric quality factor enhancements, which was due to the lattice volume contraction as well as the 1:2 B-site cation ordering. In addition, NiO doping was useful to the stabilization of temperature coefficient of resonance frequency.