• Title/Summary/Keyword: $I_{K,n}$

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Remagnetization of the Cretaceous Sedimentary Rocks in the Yeongdong Basin (영동분지에 분포하는 백악기 퇴적암류의 재자화)

  • Doh, Seong-Jae;Cho, Yun-Young;Suk, Dongwoo
    • Economic and Environmental Geology
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    • v.29 no.2
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    • pp.193-209
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    • 1996
  • Paleomagnetic and rock-magnetic data have been obtained from the Cretaceous rocks (Yeongdong Group, volcanic rock, and intrusive rocks) which are exposed in the Yeongdong Basin. The characteristic remanent directions of these rocks, which are mainly carried by magnetite and hematite of single and pseudo-single domain sizes, are normally magnetized (Yeongdong Group: $D/I=29.6/59.0^{\circ}C$, k=75.7, ${\alpha}_{95}=3.3^{\circ}$, N=25 sites, paleopole at $198.0^{\circ}E$, $66.4^{\circ}N$, K=46.1, $A_{95}=4.3^{\circ}$; volcanic rock: $D/I=352.8/44.1^{\circ}$, k=44.2, ${\alpha}_{95}=18.8^{\circ}$, N=3 sites, paleopole at $340.0^{\circ}E$, $78.8^{\circ}N$, $K=49.8^{\circ}E$, $A_{95}=17.6^{\circ}$X>; intrusive rocks: $D/I=358.4/51.9^{\circ}C$, k=20.0, ${\alpha}_{95}=13.8^{\circ}$, N=7 sites, paleopole at $338.1^{\circ}E$, $86.8^{\circ}N$, K=13.5, $A_{95}=17.1^{\circ}$). The stepwise unfolding of the characteristic remanent magnetization (ChRM) of the Yeongdong Group reveals that a maximum value of k is observed at 60% of unfolding with $D/I=13.0/58.6^{\circ}$ (k=124.62, ${\alpha}_{95}2.6^{\circ}$) indicating that the ChRM was aquired during ti1ting of the strata. This remagnetized ChRM in the sedimentary strata is due to acquisition of geomagnetic field direction at the time of formation of authigenic magnetic minerals, although it is not totally ruled out that the formation of authigenic magnetic minerals was affected indirect1y by the elevated temperature originated from the volcanic and intrusive rocks which intruded between Late Cretaceous and Early Tertiary.

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ENUMERATION OF GRAPHS AND THE CHARACTERISTIC POLYNOMIAL OF THE HYPERPLANE ARRANGEMENTS 𝒥n

  • Song, Joungmin
    • Journal of the Korean Mathematical Society
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    • v.54 no.5
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    • pp.1595-1604
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    • 2017
  • We give a complete formula for the characteristic polynomial of hyperplane arrangements ${\mathcal{J}}_n$ consisting of the hyperplanes $x_i+x_j=1$, $x_k=0$, $x_l=1$, $1{\leq}i$, j, k, $l{\leq}n$. The formula is obtained by associating hyperplane arrangements with graphs, and then enumerating central graphs via generating functions for the number of bipartite graphs of given order, size and number of connected components.

Embryo Survival on Day 25 of Generation in the Gilt is Not Affected by Exogenous Progesterone but is Correlated with Levels of Insulin-Like Growth Factor-I (IGF-I) mRNA in the Uterus

  • Yu, Z.;Gordon, J.R.;Kirkwood, R.N.;Thacker, P.A.
    • Asian-Australasian Journal of Animal Sciences
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    • v.12 no.6
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    • pp.862-867
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    • 1999
  • The present study was undertaken to determine the effect of administration of exogenous progesterone early in gestation on uterine levels of IGF-I mRNA and on embryo survival at day 25 of gestation in the pig. Forty-one prepubertal gilts were induced into oestrus with PG600 and artificially inseminated at their subsequent naturally occurring oestrus. Gilts were then randomly assigned to one of three groups. Gilts in the two treatment groups were injected intramuscularly with 50 mg of progesterone either from day 2 to 14 (N=14) or from day 4 to 14 (N=15) after breeding while those in the control group (N=12) were given corn oil (0.5 ml) from day 2 to 14. Between days 25 and 28 of gestation, gilts were slaughtered and reproductive tracts were recovered. Endometrial tissue (1 g) was collected and analysed for IGF-I mRNA levels using a reverse transcription-polymerase chain reaction, Progesterone treatment, starting either on day 2 or 4 after breeding, neither significantly increased embryo survival rate by day 25 of gestation nor altered IGF-I mRNA levels in uterine tissue. However, across all samples, the IGF-I mRNA level in the uterus was highly correlated with embryo survival rate (r=0.8193, p<0.01), supporting the involvement of IGF-I in the regulation of porcine embryo development.

A Study on the Synthesis and the Electrochemical Properties of $LiNi_{1-y}$${Co_y}{O_2}$from $Li_2$$CO_3$, ${NiCO_3}$, and $CoCO_3$ ($Li_2$$CO_3$, ${NiCO_3}$, $CoCO_3$로부터 $LiNi_{1-y}$${Co_y}{O_2}$의 합성 및 전극특성 연구)

  • Rim, Ho;Kang, Seong-Gu;Chang, Soon-Ho;Song, Myoung-Youp
    • Journal of the Korean Ceramic Society
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    • v.38 no.6
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    • pp.515-521
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    • 2001
  • 출발 물질로서 L $i_2$C $O_3$, NiC $O_3$, CoC $O_3$를 사용하고 조성과 합성 온도를 변화시켜, 고온 고상법에 의하여 LiN $i_{1-y}$ $Co_{y}$ $O_2$(y=0.1, 0.3, 0.5)를 합성하였다. 합성과 시료들의 결정구조, 미세구조 그리고 전기화학적 특성을 조사하였다. 80$0^{\circ}C$와 8$50^{\circ}C$에서 제조한 L $i_{x}$N $i_{1-y}$ $Co_{y}$ $O_2$는, 삼방정계(space group: R3m)의 $\alpha$-NaFe $O_2$구조로 결정화되어 있는 층상 구조를 형성하였다. LiN $i_{1-y}$ $Co_{y}$ $O_2$(y=0.1, 0.3, 0.5)는 Co의 양이 증가함에 따라 a축과 c축의 크기가 감소하였는데, 이는 코발트 이온의 크기가 니켈 이온의 크기보다 작은데 기인하는 것이다. 그러나 c축과 a축의 크기의 비(c/a)가 증가하였음은 이차원적 구조가 잘 발달됨을 보여준다. 니켈에 대한 코발트의 치환량에 따른 리튬 이온의 삽입/추출 가역성은 코발트의 치환량이 증가하면서 증가하여 y=0.3인 LiN $i_{0.9}$ $Co_{0.1}$ $O_2$에서 대체로 우수하였고 그 이상으로 y값이 증가하면 가역성이 나빠졌다. 80$0^{\circ}C$에서 합성한 LiN $i_{0.9}$ $Co_{0.1}$ $O_2$가 가장 큰 초기 방전 용량 146 mAh/g을 나타내었으며, 싸이클링 성능도 비교적 우수하였다. 8$50^{\circ}C$에서 합성한 LiN $i_{0.9}$ $Co_{0.1}$ $O_2$와 LiN $i_{0.7}$ $Co_{0.3}$ $O_2$가 우수한 싸이클링 성능을 보였다.다. 싸이클링 성능을 보였다.다.보였다.다.

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Block Interpolation Search (블록 보간 탐색법)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.17 no.5
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    • pp.157-163
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    • 2017
  • The binary and interpolation search algorithms are the most famous among search area algorithms, the former running in $O(log_2n)$ on average, and the latter in $O(log_2log_2n)$ on average and O(n) at worst. Also, the interpolation search use only the probability of key value location without priori information. This paper proposes another search algorithm, which I term a 'hybrid block and interpolation search'. This algorithm employs the block search, a method by which MSB index of a data is determined as a block, and the interpolation search to find the exact location of the key. The proposed algorithm reduces the search range with priori information and search the reduced range with uninformed situation. Experimental results show that the algorithm has a time complexity of $O(log_2log_2n_i)$, $n_i{\simeq}0.1n$ both on average and at worst through utilization of previously acquired information on the block search. The proposed algorithm has proved to be approximately 10 times faster than the interpolation search on average.

WIJSMAN LACUNARY IDEAL INVARIANT CONVERGENCE OF DOUBLE SEQUENCES OF SETS

  • Dundar, Erdinc;Akin, Nimet Pancaroglu
    • Honam Mathematical Journal
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    • v.42 no.2
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    • pp.345-358
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    • 2020
  • In this paper, we study the concepts of Wijsman lacunary invariant convergence, Wijsman lacunary invariant statistical convergence, Wijsman lacunary ${\mathcal{I}}_2$-invariant convergence (${\mathcal{I}}^{{\sigma}{\theta}}_{W_2}$), Wijsman lacunary ${\mathcal{I}}^*_2$-invariant convergence (${\mathcal{I}}^{\ast}^{{\sigma}{\theta}}_{W_2}$), Wijsman p-strongly lacunary invariant convergence ([W2Nσθ]p) of double sequence of sets and investigate the relationships among Wijsman lacunary invariant convergence, [W2Nσθ]p, ${\mathcal{I}}^{{\sigma}{\theta}}_{W_2}$ and ${\mathcal{I}}^{\ast}^{{\sigma}{\theta}}_{W_2}$. Also, we introduce the concepts of ${\mathcal{I}}^{{\sigma}{\theta}}_{W_2}$-Cauchy double sequence and ${\mathcal{I}}^{\ast}^{{\sigma}{\theta}}_{W_2}$-Cauchy double sequence of sets.

A CONSTRUCTION OF TWO-WEIGHT CODES AND ITS APPLICATIONS

  • Cheon, Eun Ju;Kageyama, Yuuki;Kim, Seon Jeong;Lee, Namyong;Maruta, Tatsuya
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.3
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    • pp.731-736
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    • 2017
  • It is well-known that there exists a constant-weight $[s{\theta}_{k-1},k,sq^{k-1}]_q$ code for any positive integer s, which is an s-fold simplex code, where ${\theta}_j=(q^{j+1}-1)/(q-1)$. This gives an upper bound $n_q(k,sq^{k-1}+d){\leq}s{\theta}_{k-1}+n_q(k,d)$ for any positive integer d, where $n_q(k,d)$ is the minimum length n for which an $[n,k,d]_q$ code exists. We construct a two-weight $[s{\theta}_{k-1}+1,k,sq^{k-1}]_q$ code for $1{\leq}s{\leq}k-3$, which gives a better upper bound $n_q(k,sq^{k-1}+d){\leq}s{\theta}_{k-1}+1+n_q(k-1,d)$ for $1{\leq}d{\leq}q^s$. As another application, we prove that $n_q(5,d)={\sum_{i=0}^{4}}{\lceil}d/q^i{\rceil}$ for $q^4+1{\leq}d{\leq}q^4+q$ for any prime power q.

Mechanism of the Hydrolysis of Phenyl N-(p-chlorobenzoyl)Chloroformimidate Derivatives in Acid Media (산성용액 중에서 Phenyl N-(p-chlorobenzoyl)chloroformimidate 유도체의 가수분해 반응 메카니즘)

  • Nack-Do Sung;Young-Gu Cheun;Ki-Sung Kwon;Tae-Rin Kim
    • Journal of the Korean Chemical Society
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    • v.31 no.4
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    • pp.352-358
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    • 1987
  • Rate constants for the hydrolysis of para-substituted phenyl N-(p-chlorobenzoyl)chloroformimidate (I) derivatives in 1 : 4 dioxane-water at $25^{\circ}C$ have been determined. Rate data, substituent effect $(\rho\>{\rho}^+)$, product analysis and MO calculation indicate that the uncatalyzed reaction proceeds through an $S_N1$ mechanism involving the formation of azocarbonium ion (II) below pH 3.0, and the base-catalyzed reaction proceeds through an $S_N2$ mechanism via transition state (III) above pH 4.0. The relative stability of four peri planar conformational isomers were (E-ap) > (Z-ap) > (E-sp) > (Z-ap), respectively, and the most stable stereo structures shows that the Y-substituted phenyl group $(C_6H_4-Y)$ occupy vertical $(90^{\circ})$ position on the plane of the benzimidochloroformyl group in (E-ap) conformer. The nucleophilic substitution of water molecule occurs by sigma attack to the activatived azomethine carbon atom of (I) derivatives.

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Buffering Contribution of Mitochondria to the $[Ca^{2+}]_i$ Increase by $Ca^{2+}$ Influx through Background Nonselective Cation Channels in Rabbit Aortic Endothelial Cells

  • Kim, Young-Chul;Lee, Sang-Jin;Kim, Ki-Whan
    • The Korean Journal of Physiology and Pharmacology
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    • v.9 no.1
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    • pp.29-35
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    • 2005
  • To prove the buffering contribution of mitochondria to the increase of intracellular $Ca^{2+}$ level ($[Ca^{2+}]_i$) via background nonselective cation channel (background NSCC), we examined whether inhibition of mitochondria by protonophore carbonylcyanide m-chlorophenylhydrazone (CCCP) affects endothelial $Ca^{2+}$ entry and $Ca^{2+}$ buffering in freshly isolated rabbit aortic endothelial cells (RAECs). The ratio of fluorescence by fura-2 AM ($R_{340/380}$) was measured in RAECs. Biological state was checked by application of acetylcholine (ACh) and ACh ($10{\mu}M$) increased $R_{340/380}$ by $1.1{\pm}0.15$ ($mean{\pm}S.E.$, n=6). When the external $Na^+$ was totally replaced by $NMDG^+$, $R_{340/380}$ was increased by $1.19{\pm}0.17$ in a reversible manner (n=27). $NMDG^+$-induced $[Ca^{2+}]_i$ increase was followed by oscillatory decay after $[Ca^{2+}]_i$ reached the peak level. The increase of $[Ca^{2+}]_i$ by $NMDG^+$ was completely suppressed by replacement with $Cs^+$. When $1{\mu}M$ CCCP was applied to bath solution, the ratio of $[Ca^{2+}]_i$ was increased by $0.4{\pm}0.06$ (n=31). When $1{\mu}M$ CCCP was used for pretreatment before application of $NMDG^+$, oscillatory decay of $[Ca^{2+}]_i$ by $NMDG^+$ was significantly inhibited compared to the control (p<0.05). In addition, $NMDG^+-induced$ increase of $[Ca^{2+}]_i$ was highly enhanced by pretreatment with $2{\mu}M$ CCCP by $320{\pm}93.7$%, compared to the control ($mean{\pm}S.E.$, n=12). From these results, it is concluded that mitochondria might have buffering contribution to the $[Ca^{2+}]_i$ increase through regulation of the background NSCC in RAECs.