• Title/Summary/Keyword: H-Spectrum

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ON BROWDER'S THEOREM

  • Lee, Dong Hark
    • Korean Journal of Mathematics
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    • v.10 no.1
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    • pp.11-17
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    • 2002
  • In this paper we give several necessary and sufficient conditions for an operator on the Hilbert space to obey Browder's theorem. And it is shown that if S has totally finite ascent and $T{\prec}S$ then $f(T)$ obeys Browder's theorem for every $f{\in}H({\sigma}(T))$, where $H({\sigma}(T))$ denotes the set of all analytic functions on an open neighborhood of ${\sigma}(T)$.

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COMPLEX SYMMETRIC WEIGHTED COMPOSITION-DIFFERENTIATION OPERATORS ON H2

  • Lian Hu;Songxiao Li;Rong Yang
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.5
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    • pp.1141-1154
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    • 2023
  • In this paper, we study the complex symmetric weighted composition-differentiation operator D𝜓,𝜙 with respect to the conjugation JW𝜉,𝜏 on the Hardy space H2. As an application, we characterize the necessary and sufficient conditions for such an operator to be normal under some mild conditions. Finally, the spectrum of D𝜓,𝜙 is also investigated.

ESR spectrum change for the a-C : H films exposed in the atmosphere (공기 중에 노출된 a-C : H 박막의 ESR 스펙트럼 변화)

  • 윤원주;이정근
    • Journal of the Korean Vacuum Society
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    • v.13 no.2
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    • pp.65-71
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    • 2004
  • ESR spectrum change has been investigated for the PECVD deposited a-C : H films exposed in the atmosphere. Though depending on the deposition conditions, it was observed that generally ESR signal height decreased and linewidth increased as the exposure time increased. The spin density decreased down to 40-80% depending on samples. The decrease of spin density of the a-C : H films in the air was attributed to permeation of moisture into the films and subsequent migration and redistribution of hydrogens. And the ESR signal height increased again and the linewidth decreased when the a-C : H samples were placed again in the vacuum, which was attributed to oxygens extracted from the samples. Consequently, the ESR spectrum change for the a-C : H films exposed in the air was regarded to be associated with the decrease of spin density as well as the permeation of oxygens into films.

Layout of Long-pass-edge Filter Correspond with the Optical Transmission in Crystalline (수정체 광투과에 대응하는 LPE Filter 설계)

  • Kim, YongGeun
    • Journal of Korean Ophthalmic Optics Society
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    • v.4 no.2
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    • pp.57-63
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    • 1999
  • The optical absorption and transmittance of cow' crystalline were measured by spectrophotometer in the 200~800nm wavelength regions. The optical absorptions of crystalline composed of a high absorption band in the UV-A, UV-B, and appeared the light transmittance edge in the 400nm wavelength region, and completely transmitted without the absorption in the high wavelength regions than 400nm. Also, the optical absorption and transmittance had no temperature dependence. The optical transmittance spectrum of crystalline concord with the thin film structure of $n_0/(0.5H)L(LH)^6(0.5H)/n_s$ and $n_0{\mid}(0.5LH0.5L)^kL/1.25{\mid}4.0$ of long-pass edge filter form. In the artificial crystalline and inter lens layout, long-pass edge filter layout can UV cut off.

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Saturated absorption spectroscopy of 13C2H2 in the 1550 nm region (1550 nm 영역에서 아세틸렌 분자의 포화흡수분광)

  • 문한섭;이원규;서호성
    • Korean Journal of Optics and Photonics
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    • v.15 no.2
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    • pp.177-182
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    • 2004
  • We have observed the saturated absorption spectrum of the P(16) line of the V$_1$+V$_3$ band of $^{13}$ C$_2$H$_2$ molecule by using the external cavity spectroscopy method. The frequency of laser has been stabilized to the saturated absorption spectrum. The relative contrast of the saturation spectrum is about 7 % with respect to the linear absorption and the linewidth is about 1.8 MHz. The frequency fluctuation of the stabilized LD is about $\pm$20 KHz during the sampling time 100 S.

($^{11}$B NMR study of vortex dynamics in LuNi$_2$B$_2$C

  • Lee, K.H.;Seo, S.W.;Kim, D.H.;Khang, K.H.;Seo, H.S.;Hwang, C.S.;Cho, B.K.;Lee, Moo-Hee
    • 한국초전도학회:학술대회논문집
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    • v.10
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    • pp.107-110
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    • 2000
  • ($^{11}$B NMR measurements have been performed on single crystals of LuNi$_2$B$_2$C superconductor to investigate vortex lattice structures and dynamical behavior. The spectrum in the superconducting state is significantly broadened by local field inhomogeneity due to the vortex lattice and the peak point of the spectrum shifts toward low magnetic field due to the imperfect field penetration. The linewidth of the spectrum reflecting local field variation is much smaller than expected for conventional vortex lattices and shows peculiar increase at low temperature. Furthermore, the transverse relaxation rate, 1/T$_2$, probing the slow motion of vortices, exhibits a single peak as temperature decreases. These prominent results highlight significant fluctuation of vortices even for this low T$_c$, and nearly isotropic 3D superconductor.

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One-pot Synthesis of 5,7-Diaryl-3,4,6-trihydronaphthalen-2-ones (5,7-Diaryl-3,4,6-trihydronaphthalen-2-ones의 One-pot 합성)

  • Gopalakrishnan, M.;Manikandan, H.;Sureshkumar, P.;Thanusu, J.;Kanagarajan, V.
    • Journal of the Korean Chemical Society
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    • v.51 no.4
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    • pp.356-360
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    • 2007
  • 5,7-Diaryl-3,4,6-trihydronaphthalen-2-ones have been synthesized from 3,5-diaryl-cyclohex-2-en-1- ones and methyl vinyl ketone in the presence of sodium ethoxide. The products were characterized by IR, UV-Visible, 1H-NMR, 13C-NMR and mass spectral techniques. To confirm 1H and 13C signals, HSQC spectrum was recorded and analyzed.

A study on the implementation of optical absorption spectrum analyzer for detecting gases in OF power cable (OF 케이블 Gas 검출을 위한 광흡수 스펙트럼 분석장치 구현에 관한 연구)

  • Oh, S.K.;Kang, D.S.;Kim, Y.H.;Kang, U.;Ryoo, H.S.;Park, H.S.;Roh, J.D.
    • Proceedings of the KIEE Conference
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    • 1999.07e
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    • pp.2450-2452
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    • 1999
  • Presently, it is now developing the optical remote gas sensor system which can measure combustible gases such as $CH_4$ and $C_2H_2$ generating by partial discharges inside the cable and connection parts to detect thermal deterioration of Oil-Filled (OF) power cable at the appropriate time. It is the most important parameter to select central wavelength of laser diode (LD) by analyzing the absorption bend of measuring gases in the infrared region. In this research, we proposed the optical spectrum analyzer to absorption band of $CH_4$ and $C_2H_2$ for the preliminary research of optical fiber gas detecting system.

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PARAMETER ESTIMATION AND SPECTRUM OF FRACTIONAL ARIMA PROCESS

  • Kim, Joo-Mok;Kim, Yun-Kyong
    • Journal of applied mathematics & informatics
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    • v.33 no.1_2
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    • pp.203-210
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    • 2015
  • We consider fractional Brownian motion and FARIMA process with Gaussian innovations and show that the suitably scaled distributions of the FARIMA processes converge to fractional Brownian motion in the sense of finite dimensional distributions. We figure out ACF function and estimate the self-similarity parameter H of FARIMA(0, d, 0) by using R/S method. Finally, we display power spectrum density of FARIMA process.

Effect of Sensing Time on the Spectrum Sensing Performance of Energy Detector with Verification in Cognitive Radio System (인지 무선 시스템에서 확인 과정을 가지는 에너지 검출기의 스펙트럼 센싱 성능에 센싱 시간이 미치는 영향)

  • Baek, Jun-Ho;Hwang, Seung-Hoon
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.46 no.1
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    • pp.89-93
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    • 2009
  • In this paper, we investigated effect of sensing time on the performance of enhanced spectrum sensing method, which is the energy detector with multiples of verification using time delay, under Suzuki channel. We assumed that SNR is 1dB, $P_{FA}=0.1$ and various mobile speed such as 3, 60, 110 km/h. The performance is investigated by simulation and compared to that of conventional energy detector.