• Title/Summary/Keyword: H-Spectrum

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On the Fine Spectrum of the Lower Triangular Matrix B(r, s) over the Hahn Sequence Space

  • Das, Rituparna
    • Kyungpook Mathematical Journal
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    • v.57 no.3
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    • pp.441-455
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    • 2017
  • In this article we have determined the spectrum and fine spectrum of the lower triangular matrix B(r, s) on the Hahn sequence space h. We have also determined the approximate point spectrum, the defect spectrum and the compression spectrum of the operator B(r, s) on the sequence space h.

Quantitative Comparison of 1H-MRS Spectra Depending on the Paramagnetic Gadolinium Contrast Agent(GBCA) Injection (가돌리늄 조영제 주입에 따른 1H-MRS spectrum의 정량적 비교)

  • Choi, Kwan-Woo;Son, Soon-Yong;Yoo, Beong-Gyu
    • Journal of the Korean Society of Radiology
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    • v.11 no.7
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    • pp.589-595
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    • 2017
  • This study evaluated the effect of gadolinium contrast agents on the spectrum of metabolites during $^1H-MRS$ of brain and to investigate whether the contrast agents injected before MR spectroscopy significantly affect the estimated peaks of MRS. From January to May 2017, brain MR spectroscopy was performed on 30 patients to compare the spectrum before and after contrast injection of the brain white matter tissue. As a result, the spectrum of metabolites decreased after the paramagnetic contrast agents injected. However, it was not statistically significant which indicated that the use of contrast agent did not meaningfully affect the spectrum of metabolites. In conclusion, the use of the paramagnetic contrast before the acquisition of the spectroscopy may aid voxel positioning especially when it is difficult to determine the exact location of the lesion or the contrast is low.

ON p-HYPONORMAL OPERATORS ON A HILBERT SPACE

  • Cha, Hyung-Koo
    • The Pure and Applied Mathematics
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    • v.5 no.2
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    • pp.109-114
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    • 1998
  • Let H be a separable complex H be a space and let (equation omitted)(H) be the *-algebra of all bounded linear operators on H. An operator T in (equation omitted)(H) is said to be p-hyponormal if ($T^{\ast}T)^p - (TT^{\ast})^{p}\geq$ 0 for 0 < p < 1. If p = 1, T is hyponormal and if p = $\frac{1}{2}$, T is semi-hyponormal. In this paper, by using a technique introduced by S. K. Berberian, we show that the approximate point spectrum $\sigma_{\alpha p}(T) of a pure p-hyponormal operator T is empty, and obtains the compact perturbation of T.

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Analysis of naturally Dyed Textile Fabrics by using Aronia Extract (아로니아 추출물에 의한 직물의 천연염색과 염액의 Spectrum 분석)

  • Won, Ah Young;Kim, Jongjun
    • Journal of Fashion Business
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    • v.22 no.1
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    • pp.124-134
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    • 2018
  • This study examined the dyeing characteristics and spectrum of cotton and silk by using dyeing solution extracted from aronia. The value $L^{\ast}$ which indicates the brightness of cotton regardless of mordant increases with increasing pH from pH 3.5 to pH 10.5. The color difference value(${\Delta}E$) of the cotton was generally high in pH 3.5 regardless of mordant existence. The silk showed the highest ${\Delta}E$ value in pH 3.5 dye solution as cotton did. On the other hand, the silk with mordant dyed showed the highest ${\Delta}E$ value in pH 7. Silk fabrics dyed with Aronia solution turns out red in pH 3.5, blue in pH 7 and yellow in pH 10.5. This is because of the amino acid, one of the silk ingredients, combines with a part of anthocyanin to show blue. As the result of the spectrum measurement, the maximum absorption wavelength of Aronia solution was increased in the order of pH 10.5, pH 3.5 and pH 7, regardless of extraction temperature and mordant. The measurement results of color fastness to washing and color fastness to light are generally low. Therefore, there is a need for further study to improve color fatness in the future.

LARGE-SCALE CLUSTERING OF GALAXIES IN THE CFA SURVEY

  • Park, Chang-Bom
    • Publications of The Korean Astronomical Society
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    • v.7 no.1
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    • pp.9-17
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    • 1992
  • The power spectrum of the galaxy distribution is accurately measured up to wavelengths over $100\;h^{-1}$ Mpc from the CfA 1 and 2 catalogs. We find that our results agree with power spectra calculated by others from smaller samples of optical, radio and infrared galaxies. The power spectrum of an open CDM model (${\Omega}h$ = 0.2 and ${\delta}_8$ = 1; see below for definitions) best approximates the observed power spectrum. The power spectrum of the standard COM model (${\Omega}h$ = 0.5 and ${\delta}_8$ = 1) is inconsistent with the observed one at the 99% confidence level. Our best estimation of the corresponding correlation function in real space is ${\xi}(r)\;=\;(r/6.2h^{-1}Mpc)^{-1.8}$ for r < $20h^{-1}$ Mpc.

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Epr Spectra of $\alpha$-1,2,3-$[H_{n}PV(IV)V_{2}W_{9}O_{40}]^{(7-n)-}$(n = 1, 2 or 3). The Effects of Protonation on the Electron Transfer Rate

  • Lee, Chul-Wee;So, Hyun-Soo;Lee, Kyu-Ryong
    • Bulletin of the Korean Chemical Society
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    • v.7 no.2
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    • pp.108-110
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    • 1986
  • The solution epr spectra of ${\alpha}-1,2,3-[H_nPV(IV)V_2W_9O_{40}]^{(7-n)-}$were measured at various pH and three protonated species have been identified. The spectrum of $H_3PV(IV)Ⅴ_2$ consisting of 8 lines indicates that the V-OH-V bridge prevents effectively the electron transfer between the vanadium atoms. The spectrum of $H_2PV(IV)V_2$ consisting of 15 lines can be interpreted by assuming that the electron is hopping fast between the two vanadium atoms in the V-O-V sequence. The multi-line spectrum of $HPV(IV)V_2$ is interpreted as a poorly resolved 43-line spectrum which originates from the electron hopping among the three vanadium atoms with the forward and backward transition probabilities of 4:1 in the OH-V-O-V sequence.

Raw Spectrum Analysis of operated UHF-Wind Profiler Radar in South Korea (국내 운용 UHF-윈드프로파일러 레이더의 원시 스펙트럼 분석)

  • Lee, Kyung-Hun;Kwon, Byung-Hyuk;Kim, Yu-Jin;Lee, Geon-Myeong
    • The Journal of the Korea institute of electronic communication sciences
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    • v.17 no.5
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    • pp.767-774
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    • 2022
  • In this paper raw spectrum data were analyzed to suggest the moving forward of performance evaluation and quality control of wind profilers of four manufacturers operating in South Korea. For the analysis, the profile of the spectrum averaged by season and the profile of four statistical values (minimum, average, median, and maximum) calculated by Power Spectrum Density (PSD) were used. The quality of spectrum data was the best for LAP-3000, followed by YKJ3, PCL-1300, and CLC-11-H. In Cheorwon and Chupungnyeong, where PCL-1300 was installed, the variability of the spectrum due to ground clutter and non-meteorological signals was large, so ground clutter removal and signal processing such as moving average and multi-peak were required. In Gunsan and Paju, where CLC-11-H was installed, DC (Direct Current) bias and propagation folding were found, so it is necessary to remove the DC bias and limit the effective altitude for observation.

An extension of new laser pulse atom-probe construction and time-of-flight mass spectrum of $H_2$ and He gas (A new laser pulse atom-probe 제작 및 $H_2$ 가스와 He 가스의 time-of-flight mass spectrum)

  • 송순달;홍남관
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.7 no.3
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    • pp.465-472
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    • 1997
  • An extension of new test methods for surfaces with an apparatus based on photon-induced desorption and ionisation in the electric field, is constructed and tested, It also investigates how to show the efficiency of the arrangement adsorbates $H_2$ and He on W(110). The field emitter temperature was 80 K. The wavelength of light used was 193 nm with field strengths between 10 and 50 V/nm. Many ion fragments($CO^+, He^+, H_2^^+, H_2O^+, W^{3+}\; and\; W^{2+}$) were produced by an electronic stimulation of the adsorbate with the help of a photon energy of 6.4 eV at He and $H_2$/W(110). A transient recorder enables the registration of the entire mass spectrum.

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ON WEIGHTED WEYL SPECTRUM, II

  • Arora Subhash Chander;Dharmarha Preeti
    • Bulletin of the Korean Mathematical Society
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    • v.43 no.4
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    • pp.715-722
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    • 2006
  • In this paper, we show that if T is a hyponormal operator on a non-separable Hilbert space H, then $Re\;{\omega}^0_{\alpha}(T)\;{\subset}\;{\omega}^0_{\alpha}(Re\;T)$, where ${\omega}^0_{\alpha}(T)$ is the weighted Weyl spectrum of weight a with ${\alpha}\;with\;{\aleph}_0{\leq}{\alpha}{\leq}h:=dim\;H$. We also give some conditions under which the product of two ${\alpha}-Weyl$ operators is ${\alpha}-Weyl$ and its converse implication holds, too. Finally, we show that the weighted Weyl spectrum of a hyponormal operator satisfies the spectral mapping theorem for analytic functions under certain conditions.

ESTIMATION OF HURST PARAMETER AND MINIMUM VARIANCE SPECTRUM

  • Kim, Joo-Mok
    • Korean Journal of Mathematics
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    • v.26 no.2
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    • pp.155-166
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    • 2018
  • Consider FARIMA time series with innovations that have infinite variances. We are interested in the estimation of self-similarities $H_n$ of FARIMA(0, d, 0) by using modified R/S statistic. We can confirm that the $H_n$ converges to Hurst parameter $H=d+\frac{1}{2}$. Finally, we figure out ARMA and minimum variance power spectrum density of FARIMA processes.