• 충청수학회지
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• 제31권4호
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• pp.387-396
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• 2018

Topology may described a pattern of existence of elements of a given set X. The family ${\tau}(X)$ of all topologies given on a set X form a complete lattice. We will give some topologies on this lattice ${\tau}(X)$ using a fixed topology on X and we will regard ${\tau}(X)$ a topological space. Our purpose of this study is to comparison new topologies on the family ${\tau}(X)$ of all topologies induced old one.

• Journal of applied mathematics & informatics
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• 제23권1_2호
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• pp.25-42
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• 2007

A direct solver for the Legendre tau approximation for the two-dimensional Poisson problem is proposed. Using the factorization of symmetric eigenvalue problem, the algorithm overcomes the weak points of the Schur decomposition and the conventional diagonalization techniques for the Legendre tau approximation. The convergence of the method is proved and numerical results are presented.

• 대한수학회논문집
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• 제26권2호
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• pp.291-296
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• 2011

Cs$\'{a}$sz$\'{a}$r [3] introduced the notions of ${\gamma}$-compact and ${\gamma}$-operation on a topological space. In this paper, we introduce the notions of almost ${\Gamma}$-compact, (${\gamma},{\tau}$)-continuous function and (${\gamma},{\tau}$)-open function defined by ${\gamma}$-operation on a topological space and investigate some properties for such notions.

• 충청수학회지
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• 제24권4호
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• pp.919-920
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• 2011

For two even unimodular positive definite integral quadratic forms A[X], B[X] in n-variables, J. K. Koo [1, Theorem 1] showed that ${\theta}_A(\tau)/{\theta}_B(\tau)$ is a rational function of J, satisfying a certain condition. Where ${\theta}_A(\tau)$ and ${\theta}_B(\tau)$ are theta series related to A[X] and B[X], respectively, and J is the classical modular invariant. In this paper we give a simple proof of Theorem 1 of [1].

• 폴리머
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• 제27권3호
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• pp.255-264
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• 2003

세팔 별모양 폴리스타이렌 (PS, $M_{w}$=2.80$\times$$10^{5}$ , 2.49$\times$$10^{6}$ g/mol)의 여러 종류의 사슬 크기를 t-decalin 용액의 온도 20~7$0^{\circ}C$ 사이에서 점성도법, 레이저 광산란법을 이용하여 측정하였다. 별모양 고분자들의 팽창이 만능성을 갖기 위하여서는 그들 자신의 교란되지 않은 회전 반경 $R_{G,Br,o}$이 포함된 (N/ $R_{G,Br,o}$$^{2}$)$^{3}$2/$ au$/$\tau$$_{C}$ 파라미터가 사용될 것으로 예측하였으나, 실험 결과는 오히려 선형 폴리스타이렌 고분자의 교란되지 않은 회전 반경이 사용된 (N/ $R_{G,Br,o}$$^{2}$)$^{3}$2/$\tau$/$\tau$$_{C}$ 파라미터가 보다 우수한 만능성을 보여 주었다. 이러한 이유는 가지 효과가 $\tau$/$\tau$$_{C}$(=[(Τ-Θ$_{Tc}$ )/Θ$_{Tc}$ ]/[(Θ$_{Tc}$ -Τ$_{c}$)/ $T_{c}$])부분에서 이미 반영되어 척도 상수 N/ $R_{G,O}$$^{2}$ 부분에서는 나타나지 않는 것으로 생각되어진다. 여기서 N은 고분자 사슬을 이루고 있는 단량체의 개수, Θ$_{Tc}$ 는 고분자의 분자량이 무한대일 때의 임계 용액 온도로써의 Θ 온도를 각각 의미한다.미한다.미한다.다.

• 한국광학회지
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• 제7권4호
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• pp.341-347
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• 1996

He-Ne 레이저를 표면이 9.mu.m의 거칠기로 연마된 원형유리에 투과시킨 준열광원을 제작하여 측정시간 T와 회전속도 v등의 실험조건을 변화시키면서 광전자 분포의 변화를 측정하였다. 준열광원에서 나오는 빛의 광전자 분포의 평균값 과 가변도 <(.DELTA.n)$^{2}$>를 구해본 결과, 측정시간 T가 결맞음시간 .tau.$_{c}$에 비해서 클 때는 광전자 분포가 푸아송 분포로 접근한다는 것을 확인하였다. T가 .tau.$_{c}$보다 훨씬 큰 즉, T/.tau.$_{c}$>>1인 경우 연마유리 원판의 회전속도를 변화시키면서 광전자 분포를 측정함으로써 회전속도가 증가함에 따라 결맞음시간 .tau.$_{c}$가 31.43.mu.m에서 2.48.mu.m로 감소한다는 것을 확인하였으며 표면의 거칠기 .sigma.와 회전속도 v의 비로 나타내는 결맞음시간 .sigma./v와 비교하였다.

• Archives of Pharmacal Research
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• 제26권4호
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• pp.264-269
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• 2003

5-Aminosalicylic acid (5-ASA) is an active ingredient of therapeutic agents used for Crohn s disease and ulcerative colitis. Because it is absorbed rapidly and extensively in the upper intestine, delivery of the agent specifically to the colon is necessary. We selected taurine as a colon-specific promoiety and designed 5-aminosalicyltaurine (5-ASA-Tau) as a new colon-specific prodrug of 5-aminosalicylic acid (5-ASA). It was expected that introduction of taurine would restrict the absorption of the prodrug and show additive effect to the anti-inflammatory action of 5-ASA after hydrolysis. 5-ASA-Tau was prepared in good yield by a simple synthetic route. The apparent partition coefficient of 5-ASA-Tau in 1-octanol/pH 6.8 phosphate buffer or $CHCl_3$/pH 6.8 phosphate buffer was 0.10 or 0.18, respectively, at $37^{\circ}C$. To determine the chemical and biochemical stability in the upper intestinal environment, 5-ASA-Tau was incubated in pH 1.2 and 6.8 buffer solutions, and with the homogenates of tissue and contents of stomach or small intestine of rats at $37^{\circ}C$. 5-ASA was not detected from any of the incubation medium with no change in the concentration of 5-ASA-Tau. On incubation of 5-ASA-Tau with the cecal and colonic contents of rats, the fraction of the dose released as 5-ASA was 45% and 20%, respectively, in 8 h. Considering low partition coefficient and stability in the upper intestine, 5-ASA-Tau might be nonabsorbable and stable in the upper intestine. After oral administration, it would be delivered to the colon in intact form and release 5-ASA and taurine. These results suggested 5-ASA-Tau as a promising colon-specific prodrug of 5-ASA.

• Kyungpook Mathematical Journal
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• 제45권2호
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• pp.249-254
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• 2005

Let N be a prime left near-ring with multiplicative center Z and f be a generalized $({\sigma},{\tau})-derivation$ associated with d. We prove commutativity theorems in prime near- rings with generalized $({\sigma},{\tau})-derivation$.

• 대한수학회논문집
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• 제10권4호
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• pp.839-847
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• 1995

For the given torsion theory $\tau$, we study some equivalent conditions when the localized ring $R_\tau$ be semisimple artinian (Theorem 4). Using this, if $R_\tau$ is semisimple artinian ring, we study when does the given ring R become left V-ring?

• East Asian mathematical journal
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• 제24권4호
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• pp.389-398
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• 2008

In this paper, some results of [6] concerning orthogonal ($\sigma$, $\tau$)-derivations and generalized ($\sigma$, $\tau$)-derivations are generalized for a nonzero ideal of a semiprime ring.