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A NOTE ON WITT RINGS OF 2-FOLD FULL RINGS

  • Cho, In-Ho;Kim, Jae-Gyeom
    • Bulletin of the Korean Mathematical Society
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    • v.22 no.2
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    • pp.121-126
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    • 1985
  • D.K. Harrison [5] has shown that if R and S are fields of characteristic different from 2, then two Witt rings W(R) and W(S) are isomorphic if and only if W(R)/I(R)$^{3}$ and W(S)/I(S)$^{3}$ are isomorphic where I(R) and I(S) denote the fundamental ideals of W(R) and W(S) respectively. In [1], J.K. Arason and A. Pfister proved a corresponding result when the characteristics of R and S are 2, and, in [9], K.I. Mandelberg proved the result when R and S are commutative semi-local rings having 2 a unit. In this paper, we prove the result when R and S are 2-fold full rings. Throughout this paper, unless otherwise specified, we assume that R is a commutative ring having 2 a unit. A quadratic space (V, B, .phi.) over R is a finitely generated projective R-module V with a symmetric bilinear mapping B: V*V.rarw.R which is nondegenerate (i.e., the natural mapping V.rarw.Ho $m_{R}$ (V, R) induced by B is an isomorphism), and with a quadratic mapping .phi.:V.rarw.R such that B(x,y)=(.phi.(x+y)-.phi.(x)-.phi.(y))/2 and .phi.(rx)= $r^{2}$.phi.(x) for all x, y in V and r in R. We denote the group of multiplicative units of R by U(R). If (V, B, .phi.) is a free rank n quadratic space over R with an orthogonal basis { $x_{1}$, .., $x_{n}$}, we will write < $a_{1}$,.., $a_{n}$> for (V, B, .phi.) where the $a_{i}$=.phi.( $x_{i}$) are in U(R), and denote the space by the table [ $a_{ij}$ ] where $a_{ij}$ =B( $x_{i}$, $x_{j}$). In the case n=2 and B( $x_{1}$, $x_{2}$)=1/2, we reserve the notation [ $a_{11}$, $a_{22}$] for the space.the space.e.e.e.

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Development of Topography Restoration Model using Fractal Method (프랙탈을 이용한 지형복원 모형개발)

  • Kwon, Kee-Wook;Ahn, Byung-Gu;Lee, Jong-Dal
    • Journal of the Korean Association of Geographic Information Studies
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    • v.9 no.3
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    • pp.123-135
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    • 2006
  • In this study, in order to maximize the accuracy and efficiency of the existing interpolation method fractal methods are applied. Developed FEDISA model revives the irregularity of the real topography with only a few information about base topography, which can produce almost complete geographic information. Moreover, as a tool for examining the adaptability and efficiency of the model, index of slope range $I_{SR}$, index of surface $I_{SA}$, and index of volume $I_V$ were developed. The model area is respectively set to $75m{\times}75m$, $150m{\times}150m$, $300m{\times}300m$, $600m{\times}600m$, and $1,200m{\times}1,200m$, and then the data obtained by combining the existing interpolation methods and FEDISA model were compared with real measurements. The result of the study showed the adaptability and efficiency of FEDISA model in topography restoration.

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Regulatory Action of $\beta-adrenergic$ Agonist and 8-bromocyclic AMP on Calcium Currents in the Unfertilized Mouse Eggs

  • Haan, Jae-Hee;Cheong, Seung-Jin;Kim, Yang-Mi;Park, Choon-Ok;Hong, Seong-Geun
    • The Korean Journal of Physiology
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    • v.27 no.2
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    • pp.175-183
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    • 1993
  • There are many report suggesting that influx and intracellular calcium concentration $([Ca^{2+}]_i)$ are related to cell signalling in various cells. However, it has not been reported that calcium channel activation is affected by the substances involved in signal transduction pathways in the mouse eggs. In this study, the effects of isoprenaline (ISP) and cyclic AMP on calcium influx through calcium channels were investigated to show their relationship with the signal transduction process in unfertilized mouse eggs. Using whole cell voltage clamp techniques, calcium currents, elicited by the depolarizing pulses of 300 ms duration (from -50 mV to 50 mV in 10 mV increments) from a holding potential of -80 mV, were recorded. The current-voltage (I-V) relation of calcium currents was shown to be bell-shaped; the current began to activate at -50 mV and reached its maximum $(-1.33{\pm}0.16\;nA:\;mean{\pm}S.E.,\;n=7)$ at -10 mV, then decayed at around 50 mV. Calcium currents were fully activated within $7\;ms{\sim}20\;ms$ and completely inactivated 200 ms after onset of the step pulse. ISP within the concentration ranges of $10^{-8}\;M{\sim}10^{-4}\;M$ dose-dependently increased the amplitude calcium current. The permeable cyclic AMP analogue,8-bromocyclic AMP, also increased its maximal amplitude by 46ft at $10^{-5}\;M$, while protein kinase inhibitor (PKI), which is known to inhibit 0.02 phosphorylating units of cyclic AMP-dependent protein kinase (PKA) per microgram decreased calcium currents. Currents recorded in the presence of PKI were resistant to increase by the application of $10^{-5}\;M$. Also, PKI inhibited the calcium current increase elicited by ISP treatment. These results suggest that $\beta-adrenergic$ regulation of the calcium channel is mediated by the cAMP-dependent protein kinase. This signal transduction pathway might play a role in regulating $[Ca^{2+}]_i$, level due to the increase of calcium influx in mouse eggs.

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PERFECT IDEALS OF GRADE THREE DEFINED BY SKEW-SYMMETRIZABLE MATRICES

  • Cho, Yong-Sung;Kang, Oh-Jin;Ko, Hyoung-June
    • Bulletin of the Korean Mathematical Society
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    • v.49 no.4
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    • pp.715-736
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    • 2012
  • Brown provided a structure theorem for a class of perfect ideals of grade 3 with type ${\lambda}$ > 0. We introduced a skew-symmetrizable matrix to describe a structure theorem for complete intersections of grade 4 in a Noetherian local ring. We construct a class of perfect ideals I of grade 3 with type 2 defined by a certain skew-symmetrizable matrix. We present the Hilbert function of the standard $k$-algebras R/I, where R is the polynomial ring $R=k[v_0,v_1,{\ldots},v_m]$ over a field $k$ with indeterminates $v_i$ and deg $v_i=1$.

New Methods in the Technology of Electroluminescent Phosphors

  • Sychov, M.M.;Bahmet'ev, V.V.;Khavanova, L.V.;Kuznetsov, A.I.;Smimov, A.;Vasil'eva, I.V.;Mjakin, S.V.;Nakanishi, Y.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2003.07a
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    • pp.1065-1070
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    • 2003
  • Controlling synthesis conditions of ZnS:Cu,Al and ZnS:Cu electroluminescent phosphors we optimized particle size, color properties and efficiency. Surface properties were studied by new method and showed correlation with luminescence as shown by the analysis of EL spectra with Fok-Alentsev method. Luminance and maintenance improvement was achieved by the electron-beam annealing due to additional decomposition of $ZnS-Cu_{2}S$ solid solution and formation of centers of blue luminescence.

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CNTFETs에서의 Band to Band 터널링에 대한 연구

  • Lee, Do-Hyeon
    • Proceeding of EDISON Challenge
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    • 2013.04a
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    • pp.224-227
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    • 2013
  • 본 연구에서는 S/D이 n+/n+로 구성된 CNT-MOSFETs, 금속으로 이루어진 SB-CNTFETs와 p+/n+로 구성된 CNT-TFETs에 대한 각각의 $I_d-V_g$ 특성과 포텐셜 프로파일을 확인하였다. 그리고 각 소자의 특성 및 특징을 연구하고, 이 중에서 BTB에 가장 큰 영향을 받는 CNT-TFETs의 특성을 $V_{DS}$, 분자 비대칭성과 $T_{ox}$에 따른 특성 변화를 연구하였다. 그 결과 예상과 다르게 오히려 작은 $V_{DS}$와 큰 $E_g$을 가질 때, 향상된 SS를 가진다는 것을 확인 할 수 있었다. 특히, (7,0) CNT-TFETs에서 비록 $I_d$는 작지만, SS를 57mV/dec까지 개선할 수 있었다. 또한, $T_{ox}$를 얇게 하면, 비록 60 mV/dec 이하의 결과는 보여주지 못했지만, SS와 Ion 모두 개선할 수 있음을 확인할 수 있었다.

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Accuracy Evaluation of CT-Based Attenuation Correction in SPECT with Different Energy of Radioisotopes (SPECT/CT에서 CT를 기반으로 한 Attenuation Correction의 정확도 평가)

  • Kim, Seung Jeong;Kim, Jae Il;Kim, Jung Soo;Kim, Tae Yeop;Kim, Soo Mee;Woo, Jae Ryong;Lee, Jae Sung;Kim, Yoo Kyeong
    • The Korean Journal of Nuclear Medicine Technology
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    • v.17 no.1
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    • pp.25-29
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    • 2013
  • Purpose: In this study, we evaluated the accuracy of CT-based attenuation correction (AC) under the conventional CT protocol (140 kVp, on average 50-60 keV) by comparing the SPECT image qualities of different energy of radioisotopes, $^{201}Tl,\;^{99m}Tc$ and $^{131}I$. Materials and Methods: Using a cylindrical phantom, three different SPECT scans of $^{201}Tl$ (70 keV, 55.5 MBq), $^{99m}Tc$ (140 keV, 281.2 MBq) and $^{131}I$ (364 keV, 96.2 MBq) were performed. The CT image was obtained with 140 kVp and 2.5 mA in GE Hawkeye 4. The OSEM reconstruction algorithm was performed with 2 iterations and 10 subsets. The experiments were performed in the 4 different conditions; non-AC and non-scatter correction (SC), only AC, only SC, AC and SC in terms of uniformity and center to peripheral ratio (CPR). Results: The uniformity was calculated from the uniform whole region in the reconstructed images. For $^{201}Tl$ and $^{99m}Tc$, the uniformities were improved by about 10-20% AC was applied, but these were decreased by about 2% as SC was applied. The uniformity of $^{131}I$ was slightly increased as both AC and SC were applied. The CPR of the reconstructed image was close to one, when AC was applied for $^{201}Tl$ and $^{99m}Tc$ scans and $^{131}I$ was distant from 1 and that is only AC. Conclusion: The image uniformity improved by AC on low energy likely to $^{201}Tl$ and $^{99m}Tc$. However, image uniformity of high energy such as $^{131}I$ was improved, when both AC and SC was applied.

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A nuclear battery based on silicon p-i-n structures with electroplating 63Ni layer

  • Krasnov, Andrey;Legotin, Sergey;Kuzmina, Ksenia;Ershova, Nadezhda;Rogozev, Boris
    • Nuclear Engineering and Technology
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    • v.51 no.8
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    • pp.1978-1982
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    • 2019
  • The paper presents the electrical performance measurements of a prototype nuclear battery and two types of betavoltaic cells. The electrical performance was assessed by measuring current-voltage properties (I-V) and determining the short-circuit current and the open-circuit voltage. With 63Ni as an irradiation source, the open-circuit voltage and the short-circuit current were determined as 1 V and 64 nA, respectively. The prototype consisted of 10 betavoltaic cells that were prepared using radioactive 63Ni. Electroplating of the radioactive 63Ni on an ohmic contact (Ti-Ni) was carried out at a current density of 20 mA/㎠. Two types of betavoltaic cells were studied: with an external 63Ni source and a 63Ni-covered source. Under irradiation of the 63Ni source with an activity of 10 mCi, the open-circuit voltage Voc of the fabricated cells reached 151 mV and 109 mV; the short-circuit current density Jsc was measured to be 72.9 nA/cm2 and 64.6 nA/㎠, respectively. The betavoltaic cells had the fill factor of 55% and 50%, respectively.

Synthesis and Performance of Dialkylamine (di-)nitrobenzoates for Vapor Corrosion Inhibitor (기화성방청제 Dialkylamine (di-)nitrobenzoates 합성 및 방청성능)

  • Chun, Yong-Jin;Park, Yong-Sung;Soh, Soon-Young
    • Applied Chemistry for Engineering
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    • v.10 no.1
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    • pp.6-11
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    • 1999
  • Dialkylamine (di-)nitrobenzoates as vapor corrosion inhibitor were synthesized with dialkylamines and (di-)nitrobenzoic acids. The compounds were analyzed by elemental analyzer, FT-IR and $^1H$-NMR spectrophotometer. Corrosion inhibition of synthetic compounds and additives [$(NH_4)_2CO_3$, $NaHCO_3$] against ferrous and non-ferrous metal was investigated by potentiostatic method [1% (w/v) corrosion inhibitor in 1M $Na_2SO_4$ aqueous solution] respectively. For corrosion inhibition of ferrous metal, dialkylamine 4-nitrobenzoates were better inhibitor than dialkylamine 3, 5-dinitrobenzoates, the passivating current density ($i_p$) of dialkylamine 4-nitrobenzoate was shown $4.78mA/cm^2$. While, for non-ferrous metal, dialkylamine 3, 5-dinitrobenzoates were better, those of dipropylamine 3, 5-dinitrobenzoate and hexamethyleneimine 3, 5-dinitrobenzoate were shown 36 and $37mA/cm^2$. Additive effect of $(NH_4)_2CO_3$ and $NaHCO_3$ for corrosion inhibition of ferrous metal was excellent but that of non-ferrous metal was not. Optimum ratios of diethylamine 4-nitrobenzoate with $(NH_4)_2CO_3$ and $NaHCO_3$ were 4 : 6 and 5 : 5 (V/V), and passivating current densities ($i_p$) of the mixtures were shown 0.26 and $0.85mA/cm^2$, respectively.

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Antibacterial Activities of Extracts from Chrysanthemum boreale M. (산국 추출물의 항균력)

  • Yang, Min-Suk;Nam, Sang-Hae
    • Applied Biological Chemistry
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    • v.38 no.3
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    • pp.269-272
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    • 1995
  • Antibacterial activity test of solvent fractions, sesquiterpenoid lactones, and Compound I and II extracted from Chrysanthemum boreale M. and Chrysanthemum indium L. were performed against four microorganisms. Among the tested substances, antibacterial activities were appeared against B. subtilis and V. parahaemolyticus at the chloroform fraction, sesquiterpenoid lactones and Compound I extracted from C. boreale. But chloroform fraction and sesquiterpenoid lactones extracted from C. indicum were showed weakly than those of C. boreale. Compound II and all fractions extracted from C. indicum were not appeared against the all tested microorganisms.

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