• Journal of applied mathematics & informatics
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• 제27권3_4호
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• pp.489-500
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• 2009

In this paper, we study the convergence of relaxed two-stage multisplitting method using M-splittings or SOR multi splitting as inner splittings and an outer splitting for solving a linear system whose coefficient matrix is an M-matrix. We also provide numerical experiments for the convergence of the relaxed two-stage multisplitting method.

• 충청수학회지
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• 제30권2호
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• pp.177-181
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• 2017

Let $f:M{\rightarrow}M$ be a diffeomorphism of a compact smooth manifold M. In this paper, we show that $C^1$ generically, if a chain transitive set ${\Lambda}$ is locally maximal then it admits a dominated splitting. Moreover, $C^1$ generically if a chain transitive set ${\Lambda}$ of f is locally maximal then it has zero entropy.

• 대한수학회보
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• 제46권1호
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• pp.99-105
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• 2009

Let $M=H_1{\cup}_SH_2$ be a Heegaard splitting of a 3-manifold M, D be an essential disk in $H_1$ and A be an essential annulus in $H_2$. Suppose D and A intersect in one point. First, we show that a Heegaard splitting admitting such a (D, A) pair satisfies the disjoint curve property, yet there are infinitely many examples of strongly irreducible Heegaard splittings with such (D, A) pairs. In the second half, we obtain another Heegaard splitting $M=H'_1{\cup}_{S'}H'_2$ by removing the neighborhood of A from $H_2$ and attaching it to $H_1$, and show that $M=H'_1{\cup}_{S'}H'_2$ also has a (D, A) pair with $|D{\cap}A|=1$.

• 대한수학회보
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• 제48권1호
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• pp.67-77
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• 2011

Let M be a compact orientable closed 3-manifold, and F a non-separating incompressible closed surface in M. Let M' = M - ${\eta}(F)$, where ${\eta}(F)$ is an open regular neighborhood of F in M. In the paper, we give a lower bound of genus of self-amalgamation of minimal Heegaard splitting $V'\;{\cup}_{S'}\;W'$ of M' under some conditions on the distance of the Heegaard splitting.

• 대한수학회지
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• 제36권1호
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• pp.125-137
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• 1999

Under the condition of RicM $\geq$ -(n-1), injM $\geq$ I0, we prove the existence of an $\varepsilon$>0 such that on the region of volume $\varepsilon$>0 the curvature condition of splitting theorem can be weakened.

• Geomechanics and Engineering
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• 제12권4호
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• pp.595-609
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• 2017

Due to high in-situ stress and brittleness of rock mass, the surrounding rock masses of underground caverns are prone to appear splitting failure. In this paper, a kind of loading-unloading variable elastic modulus model has been initially proposed and developed based on energy dissipation principle, and the stress state of elements has been determined by a splitting failure criterion. Then the underground caverns of Dagangshan hydropower station is analyzed using the above model. For comparing with the monitoring results, the entire process of rock splitting failure has been achieved through monitoring the splitting failure on side walls of large-scale caverns in Dagangshan via borehole TV, micro-meter and deformation resistivity instrument. It shows that the maximum depth of splitting area in the downstream sidewall of the main power house is approximately 14 m, which is close to the numerical results, about 12.5 m based on the energy dissipation model. As monitoring result, the calculation indicates that the key point displacement of caverns decreases firstly with the distance from main powerhouse downstream side wall rising, and then increases, because this area gets close to the side wall of main transformer house and another smaller splitting zone formed here. Therefore it is concluded that the energy dissipation model can preferably present deformation and fracture zones in engineering, and be very useful for similar projects.

• 화약ㆍ발파
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• 제28권1호
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• pp.63-70
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• 2010

본 연구는 유압력을 이용한 할암공법의 진동 및 소음크기에 대한 현장 적용성 판단을 위해 축사와 노후된 주택구조물 근접지역에서 진동과 소음의 크기를 검토하였다. 검토는 할암공법의 작업과정별로 천공, 절개, 집토 및 상차에 따라 발생되는 진동과 소음의 크기를 근접된 위치(10m~80m)에서 측정 분석하여 대상지역에 설정된 진동과 소음의 허용수준과 비교 하였다. 그 결과 국토해양부의 발파공법 분류에 의해 미진동굴착공법으로 할암 공법을 적용하여도 소음도의 영향은 고려되어야 하는 것으로 확인되었다.

• 생명과학회지
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• 제20권5호
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• pp.789-793
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• 2010

복잡한 진핵생물에서의 물리적 지도 작성이나 기능해석에 효모인공염색체(YAC)를 이용하기 위해서는 원하는 target region의 인공염색체화 및 single-copy인 YAC의 복제수를 늘이는 것이 요구된다. 본 연구에서는 YAC manipulation system에 복제수 증폭시스템(copy number amplification system)을 도입한 Simultaneous YAC Manipulation-Amplification (SYMA) system을 구축하였다. 식물염색체를 가진 YAC clone의 splitting과 증폭을 위해 conditional centromere와 thymidine kinase (TK) 유전자를 가진 pBGTK plasmid를 구축하였고, splitting fragment의 PCR을 위한 주형으로 사용하였다. 590 kb의 YAC clone은 splitting과 동시에 copy number amplification element를 가진 100 kb YAC와 490 kb YAC로 분리되었고, 100 kb YAC는 유도기질로 3 mg/ml sulfanilamide와 $50\;{\mu}g/ml$ methotrexate (S3/M50)의 첨가에 의해 14.4배로 그 복제수가 증가하였음을 확인할 수 있었다.

• 한국수소및신에너지학회논문집
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• 제18권4호
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• pp.356-364
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• 2007

The partial reduction and water splitting properties of metal substituted ferrite mediums for two-step thermochemical hydrogen production, were carried out by TPR/O(Temperature programmed reduction/oxidation) method at a temperature of below 1173 K and under atmospheric pressure. $ZrO_2$ was added to the ferrite as a binder to prevent the sintering. As the results, the reactivity of the metal species added to the ferrite mediums decreased in the order of Cu>Co>Ni>Mn, on the basis of water-splitting temperature. It was also found that the produced hydrogen amounts in the water-splitting step on partial reduced mediums were corresponding to the consumed hydrogen amounts in the previously partial reduction step.

• Journal of applied mathematics & informatics
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• 제29권5_6호
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• pp.1167-1178
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• 2011

In this paper, we further investigate the local Hermitian and skew-Hermitian splitting (LHSS) iteration method and the modified LHSS (MLHSS) iteration method for solving generalized nonsymmetric saddle point problems with nonzero (2,2) blocks. When A is non-symmetric positive definite, the convergence conditions are obtained, which generalize some results of Jiang and Cao [M.-Q. Jiang and Y. Cao, On local Hermitian and Skew-Hermitian splitting iteration methods for generalized saddle point problems, J. Comput. Appl. Math., 2009(231): 973-982] for the generalized saddle point problems to generalized nonsymmetric saddle point problems with nonzero (2,2) blocks. Numerical experiments show the effectiveness of the iterative methods.