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REMARKS ON NONSPECIAL LINE BUNDLES ON GENERAL κ-GONAL CURVES

  • CHOI, YOUNGOOK;KIM, SEONJA
    • 대한수학회지
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    • 제52권5호
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    • pp.991-1001
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    • 2015
  • In this work we obtain conditions for nonspecial line bundles on general ${\kappa}$-gonal curves failing to be normally generated. Let L be a nonspecial very ample line bundle on a general ${\kappa}$-gonal curve X with ${\kappa}{\geq}4$ and $deg\mathcal{L}{\geq}{\frac{3}{2}}g+{\frac{g-2}{{\kappa}}}+1$. If L fails to be normally generated, then L is isomorphic to $\mathcal{K}_X-(ng^1_{\kappa}+B)+R$ for some $n{\geq}1$, B and R satisfying (1) $h^0(R)=h^0(B)=1$, (2) $n+3{\leq}degR{\leq}2n+2$, (3) $deg(R{\cap}F){\leq}1$ for any $F{\in}g^1_k $. Its converse also holds under some additional restrictions. As a corollary, a very ample line bundle $\mathcal{L}{\simeq}\mathcal{K}_X-g^0_d+{\xi}^0_e$ is normally generated if $g^0_d{\in}X^{(d)}$ and ${\xi}^0_e{\in}X^{(e)}$ satisfy $d{\leq}{\frac{g}{2}}-{\frac{g-2}{\kappa}}-3$, supp$(g^0_d{\cap}{\xi}^0_e)={\phi}$ and deg$(g^0_d{\cap}F){\leq}{\kappa}-2$ for any $F{\in}g^1_k$.

DSRC 송신기를 위한 능동발룬 내장형 5.8 GHz SiGe 상향믹서 설계 및 제작 (A 5.8 GHz SiGe Up-Conversion Mixer with On-Chip Active Baluns for DSRC Transmitter)

  • 이상흥;이자열;김상훈;배현철;강진영;김보우
    • 한국통신학회논문지
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    • 제30권4A호
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    • pp.350-357
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    • 2005
  • 근거리무선통신 (Dedicated Short Range Communication, DSRC)은 지능형교통시스템 서비스 제공을 위한 통신 수단으로, 수 미터에서 수백 미터인 근거리 영역의 노변장치(Road Side Equipment, RSE)와 차량탑재장치(On-Board Equipment, OBE)와의 양방향 고속통신을 수행하는 통신시스템이다. 본 논문에서는 SiGe HBT 공정을 이용하여 근거리무선통신 송신기용 5.8 GHz 상향믹서를 설계 및 제작하였다. 설계된 상향믹서는 믹서코어 회로와 더불어 IF/LO/RF 입출력 정합 회로, IF/LO 입력 발룬 회로와 RF 출력 발룬 회로가 단일칩으로 구현되었다. 제작된 상향믹서는 $2.7 mm\times1.6mm$의 크기를 가지며, 3.5 dB의 전력변환이득과 -12.5 dBm의 OIP3, 42 dB의 LO to E isolation, 38 dB의 LO to RF isolation, 3.0 V의 공급전압 하에서 29 mA의 전류소모로 측정되었다.

SOME PROPERTIES OF THE GENERALIZED GOTTLIEB GROUPS

  • Yoon, Yeon Soo
    • 충청수학회지
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    • 제14권1호
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    • pp.1-6
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    • 2001
  • We investigate the relationships between the Gottlieb groups and the generalized Gottlieb groups, and study some properties of the generalized Gottlieb groups. Lee and Woo [5] proved that $G_n(X,i_1,X{\times}Y){\simeq_-}G_n(X){\oplus}{\pi}_n(Y)$. We can easily re-prove the above main theorem of [5] using some properties of the generalized Gottlieb groups, and obtain a more powerful result as follows; if $F{\rightarrow}^iE{\rightarrow}^pB$ is a homotopically trivial fibration, then $G_n(F,i,E){\simeq_-}{\pi}_n(B){\oplus}G_n(F)$.

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E-대역 상/하향 주파수 변환기용 소형 MMIC 단일 평형 다이오드 혼합기 (An E-Band Compact MMIC Single Balanced Diode Mixer for an Up/Down Frequency Converter)

  • 정진철;염인복
    • 한국전자파학회논문지
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    • 제22권5호
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    • pp.538-544
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    • 2011
  • 본 논문에서는 0.1 ${\mu}M$ GaAs p-HEMT 상용 공정을 이용한 E-대역 상/하향 주파수 변환기용 소형 MMIC 단일 평형 다이오드 혼합기를 개발하였다. 본 혼합기에는 LO 발룬을 포함하며 우수한 RF 특성의 Marchand 발룬을 사용하였다. RF 포트와 IF 포트에서는 고역 통과 필터와 저역 통과 필터를 각각 사용하여 포트별 격리도를 향상시켰다. 0.58 $mm^2$(0.85 mm${\times}$0.68 mm) 칩 크기의 매우 소형으로 제작된 단일 평형 다이오드 혼합기의 측정 결과, 71~86 GHz 주파수 범위에서 10 dBm LO 입력에 대해 삽입 손실이 8~12 dB이고, 입력 P1dB가 1~5 dBm의 결과를 보였다.

Te 을 미세 도핑한 S $b_{85}Ge_{15}$ 상변화 기록 박막의 특성 (The Characteristics of Te-light doped S $b_{85}Ge_{15}$Thin Film as Phase Change Optical Recording Media)

  • 김종기;김홍석;이영종;정홍배
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 1997년도 춘계학술대회 논문집
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    • pp.20-22
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    • 1997
  • In ours study, we investigated the various properties in Te-light doped $Sb_{85}$G $e_{15}$ thin films such as the change of reflectance and transmittance according to phase change from amorphous to crystalline states In all films the transmittance was decreased, but the reflectance was increased by annealing. Particularly, the reflectance between as- deposited state and annealed state showed the largest change in the T $e_{0.5}$($Sb_{85}$G $e_{15}$ )$_{99.5}$ thin film at 780nm, which was about 40% in as-deposited state and about 70% in annealed state. Therefore, it might be considered that the T $e_{0.5}$($Sb_{85}$G $e_{15}$ )$_{99.5}$ thin film is recording medium showing to a good optical properties if it is used to optical recording of the phase change type. change type.ype.

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THE KRONECKER FUNCTION RING OF THE RING D[X]N*

  • Chang, Gyu-Whan
    • 대한수학회보
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    • 제47권5호
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    • pp.907-913
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    • 2010
  • Let D be an integrally closed domain with quotient field K, * be a star operation on D, X, Y be indeterminates over D, $N_*\;=\;\{f\;{\in}\;D[X]|\;(c_D(f))^*\;=\;D\}$ and $R\;=\;D[X]_{N_*}$. Let b be the b-operation on R, and let $*_c$ be the star operation on D defined by $I^{*_c}\;=\;(ID[X]_{N_*})^b\;{\cap}\;K$. Finally, let Kr(R, b) (resp., Kr(D, $*_c$)) be the Kronecker function ring of R (resp., D) with respect to Y (resp., X, Y). In this paper, we show that Kr(R, b) $\subseteq$ Kr(D, $*_c$) and Kr(R, b) is a kfr with respect to K(Y) and X in the notion of [2]. We also prove that Kr(R, b) = Kr(D, $*_c$) if and only if D is a $P{\ast}MD$. As a corollary, we have that if D is not a $P{\ast}MD$, then Kr(R, b) is an example of a kfr with respect to K(Y) and X but not a Kronecker function ring with respect to K(Y) and X.

레일레이 페이딩 환경하에서 적응형 변조기를 적용한 다중 반송파 CDMA 시스템의 성능 분석 (Performance Analysis of Multicarrier CDMA System with Adaptive Modulators in Rayleigh Fading Channel)

  • 이광희;김항래;한태영;김남
    • 한국전자파학회논문지
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    • 제14권12호
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    • pp.1300-1310
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    • 2003
  • 본 논문은 레일레이 페이딩 채널 환경하에서, 적응형 변조기와 적응형 부채널 할당 방식을 적용한 다중 반송파 CDMA 시스템의 성능을 분석한다. 제안한 적응형 변조기는 QPSK, 16 QAM, 64 QAM, 256 QAM으로 구성하고, 신호점은 그레이 코드(Gray Code)로 나타내며, 임계값은 비트 에러율(BER)이 1 %일 경우의 평균 Eb/No를 사용한다. 적응형 부채널 할당 방식을 적용한 다중 반송파 시스템은 사용자의 DS파형을 L개의 부채널 중 가장 큰 K개의 부 채널로 선택하여 전송한다. 제안한 시스템의 경우, 총 부 채널수가 4이고 이 가운데 두 개의 부 채널로 데이터를 전송한다면 각 채널의 임계값은 5.2 dB, 9 dB, 13.2 dB와 8.4 dB, 12.2 dB, 16.3 dB 나타났다. BER이 $10^{-3}$을 만족하는 평균 $E_{b/}$ $N_{o}$ 는 8.1 dB로 기존의 시스템에 비해 12.9 dB의 성능이 개선되었다. 평균 심볼당 비트수(BPS)는 7 bit의 경우 15 dB의 평균 $E_{b/}$ $N_{o}$ 가 필요하다. 부 채널 에러가 발생한다면 BER이 $10^{-3}$을 만족하는 평균 $E_{b/}$ $N_{o}$ 는 13.6 dB로 5.5 dB의 성능 저하가 일어났다. 일어났다.

OVERRINGS OF THE KRONECKER FUNCTION RING Kr(D, *) OF A PRUFER *-MULTIPLICATION DOMAIN D

  • Chang, Gyu-Whan
    • 대한수학회보
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    • 제46권5호
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    • pp.1013-1018
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    • 2009
  • Let * be an e.a.b. star operation on an integrally closed domain D, and let $K\gamma$(D, *) be the Kronecker function ring of D. We show that if D is a P*MD, then the mapping $D_{\alpha}{\mapsto}K{\gamma}(D_{\alpha},\;{\upsilon})$ is a bijection from the set {$D_{\alpha}$} of *-linked overrings of D into the set of overrings of $K{\gamma}(D,\;{\upsilon})$. This is a generalization of [5, Proposition 32.19] that if D is a Pr$\ddot{u}$fer domain, then the mapping $D_{\alpha}{\mapsto}K_{\gamma}(D_{\alpha},\;b)$ is a one-to-one mapping from the set {$D_{\alpha}$} of overrings of D onto the set of overrings of $K_{\gamma}$(D, b).

Generalized Weyl's Theorem for Some Classes of Operators

  • Mecheri, Salah
    • Kyungpook Mathematical Journal
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    • 제46권4호
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    • pp.553-563
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    • 2006
  • Let A be a bounded linear operator acting on a Hilbert space H. The B-Weyl spectrum of A is the set ${\sigma}_{B{\omega}}(A)$ of all ${\lambda}{\in}\mathbb{C}$ such that $A-{\lambda}I$ is not a B-Fredholm operator of index 0. Let E(A) be the set of all isolated eigenvalues of A. Recently in [6] Berkani showed that if A is a hyponormal operator, then A satisfies generalized Weyl's theorem ${\sigma}_{B{\omega}}(A)={\sigma}(A)$\E(A), and the B-Weyl spectrum ${\sigma}_{B{\omega}}(A)$ of A satisfies the spectral mapping theorem. In [51], H. Weyl proved that weyl's theorem holds for hermitian operators. Weyl's theorem has been extended from hermitian operators to hyponormal and Toeplitz operators [12], and to several classes of operators including semi-normal operators ([9], [10]). Recently W. Y. Lee [35] showed that Weyl's theorem holds for algebraically hyponormal operators. R. Curto and Y. M. Han [14] have extended Lee's results to algebraically paranormal operators. In [19] the authors showed that Weyl's theorem holds for algebraically p-hyponormal operators. As Berkani has shown in [5], if the generalized Weyl's theorem holds for A, then so does Weyl's theorem. In this paper all the above results are generalized by proving that generalizedWeyl's theorem holds for the case where A is an algebraically ($p,\;k$)-quasihyponormal or an algebarically paranormal operator which includes all the above mentioned operators.

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CLOSED CONVEX SPACELIKE HYPERSURFACES IN LOCALLY SYMMETRIC LORENTZ SPACES

  • Sun, Zhongyang
    • 대한수학회보
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    • 제54권6호
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    • pp.2001-2011
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    • 2017
  • In 1997, H. Li [12] proposed a conjecture: if $M^n(n{\geqslant}3)$ is a complete spacelike hypersurface in de Sitter space $S^{n+1}_1(1)$ with constant normalized scalar curvature R satisfying $\frac{n-2}{n}{\leqslant}R{\leqslant}1$, then is $M^n$ totally umbilical? Recently, F. E. C. Camargo et al. ([5]) partially proved the conjecture. In this paper, from a different viewpoint, we study closed convex spacelike hypersurface $M^n$ in locally symmetric Lorentz space $L^{n+1}_1$ and also prove that $M^n$ is totally umbilical if the square of length of second fundamental form of the closed convex spacelike hypersurface $M^n$ is constant, i.e., Theorem 1. On the other hand, we obtain that if the sectional curvature of the closed convex spacelike hypersurface $M^n$ in locally symmetric Lorentz space $L^{n+1}_1$ satisfies $K(M^n)$ > 0, then $M^n$ is totally umbilical, i.e., Theorem 2.