• 호남수학학술지
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• 제26권4호
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• pp.463-469
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• 2004

In this paper we establish some recurrence relations satisfied by quotient moments of upper record values from the exponential distribution. Let $\{X_n,\;n{\geq}1\}$ be a sequence of independent and identically distributed random variables with a common continuous distribution function F(x) and probability density function(pdf) f(x). Let $Y_n=max\{X_1,\;X_2,\;{\cdots},\;X_n\}$ for $n{\geq}1$. We say $X_j$ is an upper record value of $\{X_n,\;n{\geq}1\}$, if $Y_j>Y_{j-1}$, j > 1. The indices at which the upper record values occur are given by the record times {u(n)}, $n{\geq}1$, where u(n)=min\{j{\mid}j>u(n-1),\;X_j>X_{u(n-1)},\;n{\geq}2\} and u(1) = 1. Suppose $X{\in}Exp(1)$. Then $\Large{E\;\left.{\frac{X^r_{u(m)}}{X^{s+1}_{u(n)}}}\right)=\frac{1}{s}E\;\left.{\frac{X^r_{u(m)}}{X^s_{u(n-1)}}}\right)-\frac{1}{s}E\;\left.{\frac{X^r_{u(m)}}{X^s_{u(n)}}}\right)}$ and $\Large{E\;\left.{\frac{X^{r+1}_{u(m)}}{X^s_{u(n)}}}\right)=\frac{1}{(r+2)}E\;\left.{\frac{X^{r+2}_{u(m)}}{X^s_{u(n-1)}}}\right)-\frac{1}{(r+2)}E\;\left.{\frac{X^{r+2}_{u(m-1)}}{X^s_{u(n-1)}}}\right)}$.

• 한국지능시스템학회논문지
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• 제20권4호
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• pp.569-573
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• 2010

fuzzy r-minimal preopen set, fuzzy r-M precontinuous와 fuzzy r-M preopen 함수의 개념을 소개하며 특성들을 조사한다.

• Toxicological Research
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• 제13권4호
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• pp.339-347
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• 1997

Disulfiram (DSF) and diethyldithiocarbamate (DDC), a reduced form of DSF, protect the liver against toxicant-induced injury through inhibition of cytochrome P450 2E1. The effect of DSF and DDC on the levels of major hepatic microsomal epoxide hydrolase (mEH) and glutathione S-transferase (GST) expression was comparatively studied, given the view that these enzymes are involved in terminal detoxification events for high energy intermediates of xenobiotics. Treatment of rats with a single dose of DSF (20-200 mg/kg, po) resulted in 2- to 15-fold increases in the mEH mRNA level at 24 hr with the ED$_{50}$ value being noted as 60 mg/kg. The mEH mRNA level was elevated ~15-fold at 24 hr after treatment at the dose of 100 mg/kg, whereas the hepatic mRNA level was rather decreased from the maximum at the dose of 200 mg/kg, indicating that DSF might cause cytotoxicity at the dose. In contrast to the effect of DSF, DDC only minimally elevated the mEH mRNA level at the doses employed. DSF moderately increased the major GST mRNA levels in the liver as a function of dose, resulting in rGSTA2, rGSTA3/5 or rGSTM1 mRNA levels being elevated 3- to 4-fold at 24 hr post-treatment, whereas the rGSTM2 mRNA level was not altered. DDC, however, failed to stimulate the mRNA levels for major GST subunits, indicating that the reduced form of DSF was ineffective in stimulating the GST the expression. The effect of other organosulfides including aldrithiol, 2, 2'-dithiobis(benzothiazole) (DTB), tetramethylthiouram disulfide (TMTD) and allyl disulfide (ADS) on the hepatic mEH and GST mRNA expression was assessed in rats in order to further confirm the increase in the gene expression by other disulfides. Treatment of rats with aldrithiol (100 mg/kg, po) resulted in a 16-fold increase in the mEH mRNA level at 24 hr post-treatment. DTB, TMTD and ADS also caused 5-, 9- and 12-fold increases in the rnRNA level, respectively, as compared to control. Thus, all of the disulfides examined were active in stimulating the mEH gene in the liver. The organosulfides significantly increased the rGSTA2, rGSTA3, rGSTA5 and rGSTM1 mRNA levels at 24 hr after administration. In particular, aldrithiol was very efficient in stimulating the rGSTA and rGSTM genes among the disulfides examined. These results provide evidence that DSF and other sulfides effectively stimulate the mEH and major GST gene expression at early times in the liver and that DDC, a reduced form of DSF, was ineffective in stimulating the expression of the genes, supporting the conclusion that reduced form(s) of organosulfur compound(s) might be less effective in inducing the mEH and GST genes through the antioxidant responsive element(s).

• Bulletin of the Korean Chemical Society
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• 제18권3호
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• pp.311-316
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• 1997

The synthesis and characterization of the mononuclear group 13 heterocyclic carboxaldehyde methyldithiocarbazate complexes Me2M[NC5H4CRNNC(S)SCH3] (M=Al, R=H(1); M=Ga, R=H(2); M=Al, R=CH3(3); M-Ga, R=CH3(4); M=In, R=CH3(5)) are described. Compounds 1-5 were prepared by the reaction of MMe3 (M=Al, Ga, In) with 2-formy or 2-acetylpyridine-S-methyldithiocarbazate in toluene. These compounds 1-5 have been characterized by microanalysis, NMR (1H, 13C) spectroscopy, mass spectra, and single-crystal X-ray diffraction. X-ray single-crystal diffraction analyses reveal that 4-5 are mononuclear metal compounds with coordination number of 5 and N,N,S coordination mode.

• 대한수학회논문집
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• 제12권2호
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• pp.393-401
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• 1997

Let $A_1,A_2,\cdots,A_m$ and $B_1,B_2,\cdots,B_n$ be two sequences of events on a given probability space. Let $X_m$ and $Y_n$, respectively, be the number of those $A_i$ and $B_j$, which occur we establish new upper and lower bounds on the probability $P(X=r, Y=t)$ which improve upper bounds and classical lower bounds in terms of the bivariate binomial moment $S_{r,t},S_{r+1,t},S_{r,t+1}$ and $S_{r+1,t+1}$.

• Ecology and Resilient Infrastructure
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• 제7권4호
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• pp.308-319
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• 2020

본 논문은 경북 영천시 서문보에 최근 건설된 다기능 어도의 현장 적용성을 검토하기 위해 해석 변수를 R/C Slab (S1), R/C+S/C Slab (S2) 및 지하이동통로 규격 (가로 × 세로)을 1.4 × 0.2 m, 1.4 × 0.3 m, 1.4 × 0.6 m와 유속 0.8 m/s, 1.2 m/s, 1.6 m/s 으로 구분하여 해석한 결과 서문보 설계식 안전성을 평가하였다. 서문보의 설계식 보다 R/C+S/C Slab타입이 지하이동통로 출구부는 휨모멘트와 최대응력은 각각 16 - 33%, 24 - 32%, 측벽은 각각 17 - 33%, 20 - 36%, 상부슬래브인 경우도 19 - 33%, 9 - 28% 적게 나타났다. 따라서 최대응력과 휨모멘트가 R/C+S/C Slab 타입이 구조 안전성이 확보되는 것으로 나타났다. 따라서 지하통로는 휨모멘트와 최대 응력이 각각 14%, 18%, 측벽은 17%, 15% 상부슬래브는 16%, 11%의 보완이 요구되는 것으로 판단된다. 이러한 결과는 지하이동통로 규격이 서문보 규격과 동일한 1.4 × 0.3 m 일 때가 1.4 × 0.2 m, 1.4 × 0.6 m보다 안전성이 가장 유리한 것으로 확인되었다. 또한 해석 및 분석 결과를 근거로 서문보 규모의 다기능 어도 적용 시 기본 자료로 활용이 기대된다.

• 한국수산과학회지
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• 제28권2호
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• pp.194-201
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• 1995

본 실험에서는 자루그물의 구조와 형상 및 사용 그 물감의 규격의 변화에 따른 저항의 변화를 조사하고, 그 저항이 전보에서 구한 저항식에 의해 정도 높게 해석되는가를 확인하기 위하여, 유연도가 큰 Nylon 그물감으로 자루그물을 사각추형으로 설계하고 상기 각 요소들을 변화시켜 회류수조(관측부 길이 : 7.00m, 수로 폭 : 1.45m, 수심 : 1.20m)에서 유속 v에서 받는 저항 R을 측정한 후, $R=kSv^2$(S: 그물 벽의 면적)에 의해 저항계수 $k(kg\;\cdot\;sec^2/m^4)$를 구하고 k로써 각각의 경우를 비교하였다. 실험에서 얻어진 결과를 요약하면 대략 다음과 같다. 1) 정사각추형으로 설계된 자루그물의 입구를 둘레가 서로 같은 원형 틀과 정사각형 틀에 교대로 부착하면, 수중 형상은 원형 틀에서는 매끈한 원추형이 되고 정각각형 틀에서는 입구 주변만을 제외한 나머지 모든 부분이 원추형이 되었기 때문에, k값에는 별다른 차리가 생기지 않았다 또한, 직편각추형으로 설계된 자루그물을 직체각형 틀에 부착하면 입구 주변만을 제외한 나머지 모든 部分이 타원추형이 되었는데, 그 때의 k값은 정사각추형으로 설계된 그물이 수중에서 원추형을 이루는 경우와 거의 같았다. 2) 정사각추형으로 설계된 자루그물에 대해 발의 길이 1에 대한 지름 d의 비 d/1를 변화시키면 k는 d/1가 큰 그물일수록 커지는 경향이었고, 입구 면적 $S_m$ 및 그물감의 재료는 일정하게 하고 $S/S_m$ 또는 흐름에 대한 그물의 영각 $\theta$를 변화시키면 k는 $S/S_m$가 커질수록 작아지는 경향이었다. 그러나, $kS/Sm$는 $S/S_m=1-4$ 또는 $\theta=15-90^{\circ}$의 범위에서는 거의 일정하였고, $S/S_m>4$ 또는 $\theta<15^{\circ}$ 직선적으로 증가하였다. 3) 본 실험에서 얻은 결과를 전보에서 구한 그물 저항식에 의해 해석하면, 자루그물에 있어 그물코의 면적에 대한 발의 체적의 비 $\lambda$ 즉 $$\lambda={\frac{\pi d^2}{21\;sin\;2\varphi}$$를 대표치수로 하는 레이놀즈수를 $R_e$라 하고($2\varphi$: 그물코의 전개각), 흐름에 수직인 평면에 대한 그물의 총 투영면적을 $S_n$이라 할 때, $R_e<100$의 영역에서는 $$k=160R_e\;^{-01}(\frac{S_n}{S_m})^{1.2}\;(\frac{S_m}{S})^{1.6}$$으로 주어졌고 $R_e\geq100$ 영역에서는 $$k=100(\frac{S_n}{S_m})^{1.2}\;(\frac{S_m}{S})^{1.6}$$으로 주어졌다. 이러한 결과는 전보에서 구한 k와 일치하는 것이므로, 전보에서 구한 k는 자루그물에 대한 책험의 결과와 잘 일치한다는 것을 알 수 있었다.

• 대한수학회지
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• 제60권2호
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• pp.327-339
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• 2023

Let R be a commutative ring with identity and S be a multiplicatively closed subset of R. In this article we introduce a new class of ring, called S-multiplication rings which are S-versions of multiplication rings. An R-module M is said to be S-multiplication if for each submodule N of M, sN ⊆ JM ⊆ N for some s ∈ S and ideal J of R (see for instance [4, Definition 1]). An ideal I of R is called S-multiplication if I is an S-multiplication R-module. A commutative ring R is called an S-multiplication ring if each ideal of R is S-multiplication. We characterize some special rings such as multiplication rings, almost multiplication rings, arithmetical ring, and S-P IR. Moreover, we generalize some properties of multiplication rings to S-multiplication rings and we study the transfer of this notion to various context of commutative ring extensions such as trivial ring extensions and amalgamated algebras along an ideal.

• 대한수학회지
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• 제51권6호
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• pp.1305-1319
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• 2014

A submodule N of a right R-module M is called coneat if for every simple right R-module S, any homomorphism $N{\rightarrow}S$ can be extended to a homomorphism $M{\rightarrow}S$. M is called coneat-flat if the kernel of any epimorphism $Y{\rightarrow}M{\rightarrow}0$ is coneat in Y. It is proven that (1) coneat submodules of any right R-module are coclosed if and only if R is right K-ring; (2) every right R-module is coneat-flat if and only if R is right V -ring; (3) coneat submodules of right injective modules are exactly the modules which have no maximal submodules if and only if R is right small ring. If R is commutative, then a module M is coneat-flat if and only if $M^+$ is m-injective. Every maximal left ideal of R is finitely generated if and only if every absolutely pure left R-module is m-injective. A commutative ring R is perfect if and only if every coneat-flat module is projective. We also study the rings over which coneat-flat and flat modules coincide.

• 대한수학회지
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• 제51권4호
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• pp.853-866
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• 2014

Constacyclic codes of length $p^s$ over $R=\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}+u^2\mathbb{F}_{p^m}$ are precisely the ideals of the ring $\frac{R[x]}{<x^{p^s}-1>}$. In this paper, we investigate constacyclic codes of length $p^s$ over R. The units of the ring R are of the forms ${\gamma}$, ${\alpha}+u{\beta}$, ${\alpha}+u{\beta}+u^2{\gamma}$ and ${\alpha}+u^2{\gamma}$, where ${\alpha}$, ${\beta}$ and ${\gamma}$ are nonzero elements of $\mathbb{F}_{p^m}$. We obtain the structures and Hamming distances of all (${\alpha}+u{\beta}$)-constacyclic codes and (${\alpha}+u{\beta}+u^2{\gamma}$)-constacyclic codes of length $p^s$ over R. Furthermore, we classify all cyclic codes of length $p^s$ over R, and by using the ring isomorphism we characterize ${\gamma}$-constacyclic codes of length $p^s$ over R.