• East Asian mathematical journal
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• v.18 no.2
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• pp.271-282
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• 2002

Let R be a ring with an endomorphism $\sigma$ and a derivation $\delta$. An ideal I of R is ($\sigma,\;\delta$)-ideal of R if $\sigma(I){\subseteq}I$ and $\delta(I){\subseteq}I$. An ideal P of R is a ($\sigma,\;\delta$)-prime ideal of R if P(${\neq}R$) is a ($\sigma,\;\delta$)-ideal and for ($\sigma,\;\delta$)-ideals I and J of R, $IJ{\subseteq}P$ implies that $I{\subseteq}P$ or $J{\subseteq}P$. An ideal Q of R is ($\sigma,\;\delta$)-semiprime ideal of R if Q is a ($\sigma,\;\delta$)-ideal and for ($\sigma,\;\delta$)-ideal I of R, $I^2{\subseteq}Q$ implies that $I{\subseteq}Q$. The ($\sigma,\;\delta$)-prime radical (resp. prime radical) is defined by the intersection of all ($\sigma,\;\delta$)-prime ideals (resp. prime ideals) of R and is denoted by $P_{(\sigma,\delta)}(R)$(resp. P(R)). In this paper, the following results are obtained: (1) $P_{(\sigma,\delta)}(R)$ is the smallest ($\sigma,\;\delta$)-semiprime ideal of R; (2) For every extended endomorphism $\bar{\sigma}$ of $\sigma$, the $\bar{\sigma}$-prime radical of an Ore extension $P(R[x;\sigma,\delta])$ is equal to $P_{\sigma,\delta}(R)[x;\sigma,\delta]$.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.28 no.1C
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• pp.14-23
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• 2003

This thesis proposes a sigma-delta modulator architecture with 2 Ms/s data rate and 12 bit resolution. A sigma-delta modulate has the features of oversampling and noise shaping. With these features, it can be connected with low resolution A/D converter to achieve higher resolution A/D converter. Most previous researches have been concentrated on high resolution but low data rate applications, e.g. audio applications. But, in order to be applied to various applications such as wireless data communication, researches on sigma-delta modulator architecture for higher data rate are required. The proposed sigma-delta modulator architecture has the sampling rate of 16 times Nyquist rate to achieve high data rate, and consists of a cascade of two 2nd order sigma-delta modulator to get relatively high resolution. The experimental result shows that the proposed architecture achieves 12-bit resolution at 2 Ms/s data rate.

• Communications for Statistical Applications and Methods
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• v.16 no.5
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• pp.841-849
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• 2009

Let {$X_n$, n ${\ge}$ 1} be a negatively associated sequence of identically distributed random variables with mean zeros and positive finite variances. Set $S_n$ = ${\Sigma}^n_{i=1}\;X_i$. Suppose that 0 < ${\sigma}^2=EX^2_1+2{\Sigma}^{\infty}_{i=2}\;Cov(X_1,\;X_i)$ < ${\infty}$. We prove that, if $EX^2_1(log^+{\mid}X_1{\mid})^{\delta}$ < ${\infty}$ for any 0< ${\delta}{\le}1$, then $\lim_{{\epsilon}\downarrow0}{\epsilon}^{2{\delta}}\sum_{{n=2}}^{\infty}\frac{(logn)^{\delta-1}}{n^2}ES^2_nI({\mid}S_n{\mid}\geq{\epsilon}{\sigma}\sqrt{nlogn}=\frac{E{\mid}N{\mid}^{2\delta+2}}{\delta}$, where N is the standard normal random variable. We also prove that if $S_n$ is replaced by $M_n=max_{1{\le}k{\le}n}{\mid}S_k{\mid}$ then the precise rate still holds. Some results in Fu and Zhang (2007) are improved to the complete moment case.

• Korean Journal of Mathematics
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• v.15 no.1
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• pp.51-57
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• 2007

We prove the existence of a positive solution for the system of the following nonlinear biharmonic equations with Dirichlet boundary condition $$\{{\Delta}^2u+c{\Delta}u+av^+=s_1{\phi}_1+{\epsilon}_1h_1(x)\;in\;{\Omega},\\{\Delta}^2v+c{\Delta}v+bu^+=s_2{\phi}_1+{\epsilon}_2h_2(x)\;in\;{\Omega},$$ where $u^+= max\{u,0\}$, $c{\in}R$, $s{\in}R$, ${\Delta}^2$ denotes the biharmonic operator and ${\phi}_1$ is the positive eigenfunction of the eigenvalue problem $-{\Delta}$ with Dirichlet boundary condition. Here ${\epsilon}_1$, ${\epsilon}_2$ are small numbers and $h_1(x)$, $h_2(x)$ are bounded.

• Proceedings of the Korean Ceranic Society Conference
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• 2000.10a
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• pp.129.1-129
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• 2000

• Korean Journal of Optics and Photonics
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• v.27 no.6
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• pp.223-228
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• 2016

The birefringence of distributed, uniaxially anisotropic molecules like liquid crystals is calculated as the degree of ordering is varied. The relation between the normalized birefringence ${\Delta}n_{rel}$ and the orientational order parameter S is investigated. The distribution function, which enables one to monitor the degree of ordering of liquid crystals including randomly distributed ones, is introduced. Using this distribution function, a series of distributed liquid crystals with order parameters ranging from 0 to 1 are generated, and ${\Delta}n_{rel}$ and S of the correspondingly distributed liquid crystals are calculated. Based on the calculated data, it is revealed that ${\Delta}n_{rel}$ and S satisfy the quasi-linear relation of $S=(1+a){\Delta}n_{rel}-a{\Delta}n^2_{rel}$, where a can be approximated as $n_o{\frac{{\Delta}n}{4}}$. The anisotropy of molecular polarizability is also calculated, using the birefringence, and separately following Vuks' method and Neugebauer's method, and it is shown that the relations between S and the molecular-polarizability anisotropy are also quasi-linear.

• The Korean Journal of Applied Statistics
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• v.4 no.1
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• pp.1-11
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• 1991

It is of great interest to consider the homogeniety of covariance matrices in MANOVA of discriminant analysis. If we lock at the problem of testing hypothesis, H : $\Sigma_1 = \Sigma_2$ from an invariance point of view where $\Sigma_i$ are the covariance matrix of two independent p-variate distribution, the testing problem is invariant under the group of nonsingular transformations and the hypothesis becomes H : $\delta_1 = \delta_2 = \cdots = \delta_p = 1$ where $\delta = (\delta_1, \delta_2, \cdots, \delta_p)$ is a vector of latent roots of $\Sigma$. Bias-corrected estimators of eigenvalues and sampling distribution of the test statistics proposed are obtained. Pooled-bootstrap method also considered for Bartlett's modified likelihood ratio statistics.

• BMB Reports
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• v.40 no.2
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• pp.218-225
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• 2007

In Arabidopsis thaliana, the microtubule-associated protein AtMAP65-1 shows various functions on microtubule dynamics and organizations. However, it is still an open question about whether AtMAP65-1 binds to tubulin dimers and how it regulates microtubule dynamics. In present study, the tubulin-binding activity of AtMAP65-1 was investigated. Pull-down and co-sedimentation exp eriments demonstrated that AtMAP65-1 bound to tubulin dimers,at a molar ratio of 1 : 1. Cross-linking experiments showed that AtMAP65-1 bound to tubulin dimers by interacting with $\alpha$-tubulin of the tubulin heterodimer. Interfering the bundling effect of AtMAP65-1 by addition of salt and monitoring the tubulin assembly, the experiment results indicated that AtMAP65-1 promoted tubulin assembly by interacting with tubulin dimers. In addition, five truncated versions of AtMAP65-1, namely AtMAP65-1 $\Delta$N339 (amino acids 340-587); AtMAP65-1 $\Delta$N494 (amino acids 495-587); AtMAP65-1 340-494 (amino acids 340-494); AtMAP65-1 $\Delta$C495 (amino acids 1-494) and AtMAP65-1 $\Delta$C340 (amino acids 1-339), were tested for their binding activities and roles in tubulin polymerization in vitro. Four (AtMAP65-1 $\Delta$N339, $\Delta$N494, AtMAP65-1 340-494 and $\Delta$C495) from the five truncated proteins were able to co-sediment with microtubules, and three (AtMAP65-1 $\Delta$N339, $\Delta$N494 and AtMAP65-1 340-494) of them could bind to tubulin dimers in vitro. Among the three truncated proteins, AtMAP65-1 $\Delta$N339 showed the greatest activity to promote tubulin polymerization, AtMAP65-1 $\Delta$N494 exhibited almost the same activity as the full length protein in promoting tubulin assembly, and AtMAP65-1 340-494 had minor activity to promote tubulin assembly. On the contrast, AtMAP65-1 $\Delta$C495, which bound to microtubules but not to tubulin dimers, did not affect tubulin assembly. Our study suggested that AtMAP65-1 might promote tubulin assembly by binding to tubulin dimers in vivo.

• The Korean Journal of Physiology and Pharmacology
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• v.8 no.1
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• pp.27-31
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• 2004

${\Delta}^{12}-Prostaglandin$ $J_2\;({\Delta}^{12}-PGJ_2)$ is one of cyclopentenone prostaglandins. The ${\Delta}^{12}-PGJ_2$ is known to induce apoptosis of tumor cells, however, it's action mechanism is not clear. It has recently been reported that STAT3 is involved in tumorigenesis. In the present study, we investigated the role of STAT3-interacting protein (STIP1) in the cytotoxicity of ${\Delta}^{12}-PGJ_2$, since STIP1 was recently reported as a modulator of STAT3 activation by specifically binding to inactive (unphosphorylated) STAT3. The effect of ${\Delta}^{12}-PGJ_2$ was observed in stably overexpressing Neuro-2A cells transfected with full cDNA of STIP1, and cytotoxicity of ${\Delta}^{12}-PGJ_2$ in the transfected cells was increased, compared with the vector control cells. The cytotoxicity of ${\Delta}^{12}-PGJ_2$ treatment was significantly accentuated by pretreatment of the STIP1-transfected cells with protein kinase inhibitor, genistein, and less activation of STAT3 in STIP1-transfected cells was shown, compared with the vector control cells. Expression of bax was also increased in the STIP1-transfected cells. These data suggest that STIP1 inhibits cell growth via inhibition of STAT3 activation in ${\Delta}^{12}-PGJ_2$ treatment.

• Korean Journal of Materials Research
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• v.7 no.8
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• pp.701-706
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• 1997

AI-2.5wt%Li 합금을 시효처리하여 시효거동과 인장성질에 미치는 $\delta$' 상의 영향을 조사하였다. $\delta$' 상의 입자 반경은 시효 시간의 1/3승에 비례하여 조대화하였다. $\delta$' 상과 기지상과의 계면에너지는 0.0073 J/$m^2$, 확산계수는 1.42$\textrm{cm}^2$/sec, 초대화 거동은 MLSW이론에 부합됨을 알 수 있었다. 미세하고 균일하게 분포한 $\delta$'상은 전반적으로 인장강도의 상승을 가져왔으며, 평형상인 $\delta$상의 석출과 이로 인한 무석출물대의 존재로 과시효시 강도가 감소하였다. 인장변형시 전위는 초전위로 아시효와 피크시효시에는 $\delta$'상을 전단하지만 과시효시에는 $\delta$'상을 전단하지 못하고 우회하여 전위루우프를 형성한다.