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COHOMOLOGY GROUPS OF RADICAL EXTENSIONS

  • Choi, Eun-Mi
    • Journal of the Korean Mathematical Society
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    • v.44 no.1
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    • pp.151-167
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    • 2007
  • If k is a subfield of $\mathbb{Q}(\varepsilon_m)$ then the cohomology group $H^2(k(\varepsilon_n)/k)$ is isomorphic to $H^2(k(\varepsilon_{n'})/k)$ with gcd(m, n') = 1. This enables us to reduce a cyclotomic k-algebra over $k(\varepsilon_n)$ to the one over $k(\varepsilon_{n'})$. A radical extension in projective Schur algebra theory is regarded as an analog of cyclotomic extension in Schur algebra theory. We will study a reduction of cohomology group of radical extension and show that a Galois cohomology group of a radical extension is isomorphic to that of a certain subextension of radical extension. We then draw a cohomological characterization of radical group.

Prevalence of parasite infection of poultry in Chonbuk area (가금의 장내 기생충 감염실태)

  • Yang Hong-Ji;Seo Chang-Sub;Yoon Yea-Baek;Park Tae-Wook;Choi Eun-Young;Kim Youn-Tae
    • Journal of the korean veterinary medical association
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    • v.30 no.11
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    • pp.679-688
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    • 1994
  • In order to monitor the parasites, fecal samples were taken from chicken (n=1,000), turkey(n=157), helmeted guineafowl(n=149), pheasant(n=190) and duck(n=190) in Chonbuk area. The identification of the parasites were determined by the fecal examination us

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EULER SUMS OF GENERALIZED HYPERHARMONIC NUMBERS

  • Xu, Ce
    • Journal of the Korean Mathematical Society
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    • v.55 no.5
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    • pp.1207-1220
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    • 2018
  • The generalized hyperharmonic numbers $h^{(m)}_n(k)$ are defined by means of the multiple harmonic numbers. We show that the hyperharmonic numbers $h^{(m)}_n(k)$ satisfy certain recurrence relation which allow us to write them in terms of classical harmonic numbers. Moreover, we prove that the Euler-type sums with hyperharmonic numbers: $$S(k,m;p):=\sum\limits_{n=1}^{{\infty}}\frac{h^{(m)}_n(k)}{n^p}(p{\geq}m+1,\;k=1,2,3)$$ can be expressed as a rational linear combination of products of Riemann zeta values and harmonic numbers. This is an extension of the results of Dil [10] and $Mez{\ddot{o}}$ [19]. Some interesting new consequences and illustrative examples are considered.

A Design of High Power Pulsed Solid State Power Amplifier for S-Band RADAR System Using GaN HEMT (GaN HEMT를 이용한 S-대역 레이더시스템용 고출력 펄스 SSPA 설계)

  • Kim, Ki-Won;Kwack, Ju-Young;Cho, Sam-Uel
    • Proceedings of the KAIS Fall Conference
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    • 2010.11a
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    • pp.168-171
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    • 2010
  • 본 논문에서는 GaN HEMT 소자를 이용한 고출력 고효율 특성을 가지는 광대역 SSPA의 개발을 다루고 있다. 개발한 SSPA는 8W 급과 15W 급의 GaN HEMT 소자를 사용하여 Pre-Drive 증폭단을 구성하였으며, Drive 증폭단은 50W/150W급 GaN HEMT 소자를 직/병렬구조로 사용하였다. Main 증폭단은 4-way 분배기와 결합기를 이용한 Balanced Structure를 적용하여 높은 출력을 구현하였으며, 안정적인 동작을 위하여 음(-)전원 제어 회로와 출력신호 검출 회로를 포함하고 있다. 제작된 SSPA의 사용가능 대역은 2.9GHz~3.3GHz로 단일전원을 사용하고 있으며 100us 펄스 폭, 10% Duty Cycle 조건에서 60dB의 전압이득, 1kW 출력과 약 28% 효율 특성을 가지는 것으로 측정되었다. 본 논문에서 개발한 SSPA는 S-대역을 사용하는 레이더시스템의 송신단에 적용될 수 있다.

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A CLASS OF GRADE THREE DETERMINANTAL IDEALS

  • Kang, Oh-Jin;Kim, Joo-Hyung
    • Honam Mathematical Journal
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    • v.34 no.2
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    • pp.279-287
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    • 2012
  • Let $k$ be a field containing the field $\mathbb{Q}$ of rational numbers and let $R=k[x_{ij}{\mid}1{\leq}i{\leq}m,\;1{\leq}j{\leq}n]$ be the polynomial ring over a field $k$ with indeterminates $x_{ij}$. Let $I_t(X)$ be the determinantal ideal generated by the $t$-minors of an $m{\times}n$ matrix $X=(x_{ij})$. Eagon and Hochster proved that $I_t(X)$ is a perfect ideal of grade $(m-t+1)(n-t+1)$. We give a structure theorem for a class of determinantal ideals of grade 3. This gives us a characterization that $I_t(X)$ has grade 3 if and only if $n=m+2$ and $I_t(X)$ has the minimal free resolution $\mathbb{F}$ such that the second dierential map of $\mathbb{F}$ is a matrix defined by complete matrices of grade $n+2$.

AN EPICYCLOIDAL BOUNDARY OF THE MAIN COMPONENT IN THE DEGREE-n BIFURCATION SET

  • Geum, Young-Hee;Kim, Young-Ik
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.221-229
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    • 2004
  • It is known that the parametric boundary equation for the main component in the Mandelbrot set represents a cardioid. We derive an epicy-cloidal boundary equation of the main component in the degree-n bifurcation set by extending the parameter which describes the cardioid in the Mandelbrot set. Computational results as well as some useful properties are presented together with the programming source codes written in Mathematica. Various boundaries are displayed for $2\leqn\leq7$7 and show a good agreement with the theory presented here. The known boundary equation enables us to significantly reduce the construction time for the degree-n bifurcation set.

Amorphization Process of Cr-N Alloy System by Mechanical Alloying (기계적 합금화에 의한 Cr-N계 합금의 비정질화 과정)

  • 이충효;이성희;이상진;권영순
    • Journal of Powder Materials
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    • v.10 no.4
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    • pp.288-293
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    • 2003
  • Mechanical alloying (MA) by high energy ball mill of Pure chromium Powders was carried out under the nitrogen gas atmosphere. Cr-N amorphous alloy powders have been produced through the solid-gas reaction subjected to MA. The atomic structure during amorphization process was observed by X-ray and neutron diffractions. An advantage of the neutron diffraction technique allows us to observe the local atomic structure surrounding a nitrogen atom. The coordination number of metal atoms around a N atom turns out to be 5.5 atoms. This implies that a nitrogen atom is located at both of centers of the tetrahedron and octahedron formed by metal atoms to stabilize an amorphous Cr-N structure. Also, we have revealed that a Cr-N amorphous alloy may produced from a mixture of pure Cr and Cr nitrides powders by solid-solid reaction during mechanical alloying.

C:N:P stoichiometry of particulate and dissolved organic matter in river waters and changes during decomposition

  • Islam, Mohammad Jahidul;Jang, Changwon;Eum, Jaesung;Jung, Sung-min;Shin, Myoung-Sun;Lee, Yunkyoung;Choi, Youngsoon;Kim, Bomchul
    • Journal of Ecology and Environment
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    • v.43 no.1
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    • pp.14-21
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    • 2019
  • Background: Stoichiometry plays an important role in understanding nutrient composition and cycling processes in aquatic ecosystems. Previous studies have considered C:N:P ratios constant for both DOM (dissolved organic matter) and POM (particulate organic matter). In this study, water samples were collected in the six major rivers in Korea and were incubated for 20 days. C:N:P ratios were determined during the time course of the incubations. This allowed us to examine the changes in N and P contents of organic matter during decomposition. Results: POM and DOM showed significant differences in N and P content and the elemental ratios changed during the course of decomposition; DOM showed higher C:N and C:P ratios than POM, and the C:N and C:P ratios increased during decomposition, indicating the preferential mineralization of P over N and N over C. Conclusions: The N and P contents of organic matter in aquatic ecosystem are far from constant and vary significantly during decomposition. More detailed information on the changes in C:N:P ratios will provide improved understanding of decomposition processes and improved modeling of aquatic ecosystems.

Oxygen Plasma Effect on AlGaN/GaN HEMTs Structure Grown on Si Substrate

  • Seo, Dong Hyeok;Kang, Sung Min;Lee, Dong Wha;Ahn, Du Jin;Park, Hee Bin;Ahn, Youn Jun;Kim, Min Soo;Kim, Yu Kyeong;Lee, Ho Jae;Song, Dong Hun;Kim, Jae Hee;Bae, Jin Su;Cho, Hoon Young
    • Proceedings of the Korean Vacuum Society Conference
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    • 2013.02a
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    • pp.420-420
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    • 2013
  • We investigated oxygen plasma effect on defect states near the interface of AlGaN/GaN High Electron Mobility Transistor (HEMT) structure grown on a silicon substrate. After the plasma treatment, electrical properties were evaluated using a frequency dependant Capacitance-Voltage (C-V) and a temperature dependant C-V measurements, and a deep level transient spectroscopy (DLTS) method to study the change of defect densities. In the depth profile resulted from the temperature dependant C-V, a sudden decrease in the carrier concentration for two-dimensional electron gas (2DEG) nearby 250 K was observed. In C-V measurement, the interface states were improved in case of the oxygen-plasma treated samples, whereas the interface was degraded in case of the nitrogen-plasma treated sample. In the DLTS measurement, it was observed the two kinds of defects well known in AlGaN/GaN structure grown on sapphire substrate, which have the activation energies of 0.15 eV, 0.25 eV below the conduction band. We speculate that this defect state in AlGaN/GaN on the silicon substrate is caused from the decrease in 2DEG's carrier concentrations. We compared the various DLTS signals with filling pulse times to identify the characteristics of the newly found defect. In the filling pulse time range under the 80 us, the activation energies changed as the potential barrier model. On the other hand, in the filling pulse time range above the 80 us, the activation energies changed as the extended potential model. Therefore, we suggest that the found defect in the AlGaN/GaN/Si structure could be the extended defect related with AlGa/N/GaN interface states.

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A Study of Black Carbon Measurement in Metropolitan Area and Suburban Area of the Korean Peninsula Performed during Pre KORea-US Air Quality Study (KORUS-AQ) Campaign (한반도 수도권 및 준 수도권 지역의 블랙 카본 측정 연구: 한-미 협력 국내 대기질 공동 조사 연구 (KORea-US Air Quality Study, KORUS-AQ) 예비캠페인 기간을 중심으로)

  • Lee, Jeonghoon;Jeong, Byeongju;Park, Da-Jeong;Bae, Min-Suk
    • Journal of Korean Society for Atmospheric Environment
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    • v.31 no.5
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    • pp.472-481
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    • 2015
  • Black carbon (BC) aerosols were monitored at the KIST site ($37.603^{\circ}N$, $127.046^{\circ}E$) and Cheonan-KOREATECH site ($36.766^{\circ}N$, $127.281^{\circ}E$) during the pre KORea-US Air Quality Study (KORUS-AQ) campaign using a couple of Muliti Angle Absorption Photometers (MAAP). BC mass concentrations were presented as $2.14{\pm}1.06{\mu}g/m^3$ and $0.94{\pm}0.60{\mu}g/m^3$ at KIST site (Seoul) and KOREATECH site (Cheonan), respectively. BC mass concentrations measured at KIST and KOREATECH sites from 22:00 on May 22 to 12:00 on May 23, 2015 showed 80% and 72% higher than average BC mass concentrations measured during campaign period, respectively. It indicates both sites could be influenced by a remote source. Similar patterns of BC concentrations between two sites from 20:00 to 24:00 on June 6, 2015 implies that the BC could be transported into both sites and then be stagnant inside the Korean Peninsula. Diurnal variation of BC in weekdays and weekends were also presented for the KIST and KOREATECH sites. Morning rush hour peak was observed at KIST site located in metropolitan area though no distinct morning rush hour peak was not observed at KOREATECH site located in a suburban area. This study revealed transport pathways of BC near the Korean Peninsula using back-trajectory analysis of BC measured both in a metropolitan area and in a suburban area.