• Title/Summary/Keyword: (L, N)-structure

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STRUCTURE OF STABLE MINIMAL HYPERSURFACES IN A RIEMANNIAN MANIFOLD OF NONNEGATIVE RICCI CURVATURE

  • Kim, Jeong-Jin;Yun, Gabjin
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.4
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    • pp.1201-1207
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    • 2013
  • Let N be a complete Riemannian manifold with nonnegative Ricci curvature and let M be a complete noncompact oriented stable minimal hypersurface in N. We prove that if M has at least two ends and ${\int}_M{\mid}A{\mid}^2\;dv={\infty}$, then M admits a nonconstant harmonic function with finite Dirichlet integral, where A is the second fundamental form of M. We also show that the space of $L^2$ harmonic 1-forms on such a stable minimal hypersurface is not trivial. Our result is a generalization of one of main results in [12] because if N has nonnegative sectional curvature, then M admits no nonconstant harmonic functions with finite Dirichlet integral. And our result recovers a main theorem in [3] as a corollary.

Synthesis and Hydroxyl Radicals Scavenging Activity of 2-Pyridine-acetyl-N-trimethyl Chitosan Chloride

  • Li, Rongchun
    • Journal of the Korean Chemical Society
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    • v.56 no.4
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    • pp.464-467
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    • 2012
  • A novel chitosan derivative with double quaternary ammonium salt-2-pyridine-acetyl-N-trimethyl chitosan chloride (PATMCS) was synthesized and the antioxidant activity of PATMCS against hydroxyl radicals was assessed. The results indicated that PATMCS had potent hydroxyl scavenging activity. The $IC_{50}$ of PATMCS was 0.13 mg/mL. PATMCS showed 100% scavenging effect at a dose of 0.8 mg/mL which markedly better than that of N-trimethyl chitosan chloride (TMCS). It was confirmed that quaternary chitosan derivatives showed potent antioxidant activity. PATMCS has double quaternary ammonium salt structure in the molecules. Therefore, the antioxidant activity of PATMCS was better than TMCS. The above results are theoretically fundamental for further development and making use of chitosan resources to prepare new antioxidants.

On the Syllabic Consonants in Present-Day English

  • Oda, Toshihiro
    • Proceedings of the KSPS conference
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    • 2000.07a
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    • pp.189-198
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    • 2000
  • /$t{\partial}n$/, /$d{\partial}n$/, /$t{\partial}l$/ and /d{\partial}l$/, on the one hand, are the typical phonemes of syllabic consonants. On the other hand, /${\int}{\partial}n$/ most plausibly gives rise to the syllabic consonants. /$t{\partial}r$/ and /$d{\partial}r/ can he syllabic. However, because lip-rounded consonants strengthen the character of consonantal phonemes, they are not so appropriate. Apart from phonemes, some familiar words also could be almost always syllabic. From the historical perspective, we can say that the position of syllabic consonants is typically the second syllables of two-syllabic words and 1.hat the underlying schwa does not always exist. In terms of the syllable structure, the syllables which include syllabic consonants are totally different from both stressed syllables and the other unstressed syllables.

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Aluminium-Pilland Bentonites with Amphoteric Surfactant as a Novel Organoclay for Phosphate Removal (양쪽성 계면 활성제로 치환된 알루미늄 층간가교 유기 벤토나이트를 이용한 수중 인산염 제거)

  • Kim, Soo-Hong;Kim, Ja-Keun;Park, Jae-Woo
    • Journal of Korean Society on Water Environment
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    • v.23 no.6
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    • pp.966-972
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    • 2007
  • A novel organoclay has been developed with aluminium-pillared clay modified with an amphoteric surfactant, N-Dodecyl-N,N-dimethyl-3-ammonio-1-propanesulfonate (DDAPS). This novel organoclay is expected to have phosphorus removal capacity as well as organic and inorganic contaminant removal capacity, due to aluminum inside the clay structure. It also exhibited less surfactant desorption than conventional cation surfactant-based organoclays. Phosphorus in water can be decreased from 0.2 mg/L to 0.0012 mg/L in 27 hours with this organoclay. Also, cadmium could removed from water using this proposed organo-clay. Experiments were performed under various pHs and amphoteric surfactants sorption capability was the highest at pH 5 when more of the amphoteric surfactant head group took on positive charges.

Molecular Networks via Coordination Polymerization. Synthesis and Characterization of 2-D Polymeric Cobalt(II) Compounds Containing 3,3'-Dipyridyl Ether Series

  • Jeong, Ok Sang;Kim, Yun Ju;Lee, Yeong A;Lee, Jae Gyeong;Yu, Gyeong Ho
    • Bulletin of the Korean Chemical Society
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    • v.21 no.1
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    • pp.39-43
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    • 2000
  • New coordination polymers of general form, $$[CoL_2X_2]_n$$ (L = 3,3'-oxybis(pyridine) (obp), 1,4-bis(3-pyri-doxy) benzene (bpob); X = Cl, NCS), have been prepared via a slow diffusion method. The reaction of the present linkers with cobalt(II) ion affords infinite 2-dimensional sheet products. For $[Co(obp) $_2Cl_2]_n$$, the local geometry of the cobalt center is an octahedral arrangement with four nitrogen donors and two chlorine ions in trans positions. $$[Co(bpob)_2(NCS)_2]_n$$ has provided a similar structure: the local geometry of the cobalt atom is an octahedral arrangement with four pyridine units and two NCS groups in transpositions. The obp and bpob linkers connect two cobalt(II) ions defining the edges of 40- and 60-membered $[Co(II)]_4$ ring, respectively. Thermal analyses of the coordination polymers show significant thermal behavior associated with the characteristic structures.

Antioxidant Activities of Flavonoids from the Leaves of Smilax china Linne (청미래덩굴 잎의 항산화 활성 성분)

  • Cha, Bae-Cheon;Lee, Eun-Hee
    • Korean Journal of Pharmacognosy
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    • v.38 no.1
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    • pp.31-36
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    • 2007
  • In this study, we have investigated the antioxidant activities of the leaves of Smilax china Linne in order to find the antioxidant substances which has an scavenging effect of reactive oxygen species (ROS) from natural products. As a result, EtOAc and n-BuOH extracts of the leaves of Smilax china Linne exhibited potent antioxidant effect on various antioxidant experiment. The major components of antioxidant activity were isolated from EtOAc and n-BuOH extracts of the leaves of Smilax china Linne. Their structure of compounds were identified as kaempferol-7-O-${\alpha}$-L-rhamnopyranoside and kaempferol-3,7-O-${\alpha}$-L-dirhamnopyranoside by spectroscopic evidence, respectively. Antioxidant activities were observed in kaempferrol-7-O-${\alpha}$-L-rhamnopyranoside at 23 ${\mu}g$ and in kaempferol-3,7-O-${\alpha}$-L-dirhamnopyranoside at 27 ${\mu}g$ as concentration of DPPH 50% reduction.

THE STRUCTURE OF THE REGULAR LEVEL SETS

  • Hwang, Seung-Su
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.6
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    • pp.1245-1252
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    • 2011
  • Consider the $L^2$-adjoint $s_g^{'*}$ of the linearization of the scalar curvature $s_g$. If ker $s_g^{'*}{\neq}0$ on an n-dimensional compact manifold, it is well known that the scalar curvature $s_g$ is a non-negative constant. In this paper, we study the structure of the level set ${\varphi}^{-1}$(0) and find the behavior of Ricci tensor when ker $s_g^{'*}{\neq}0$ with $s_g$ > 0. Also for a nontrivial solution (g, f) of $z=s_g^{'*}(f)$ on an n-dimensional compact manifold, we analyze the structure of the regular level set $f^{-1}$(-1). These results give a good understanding of the given manifolds.

I-V characteristics of resonant interband tunneling diodes with single quantum well structure (단일 양자 우물 구조로 된 밴드간 공명 터널링 다이오드의 전류-전압 특성)

  • 김성진;박영석
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.34D no.4
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    • pp.27-32
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    • 1997
  • In resonant tunneling diodes with the quantum well structure showing the negative differential resistance (NDR), it is essential to increase both the peak-to-valley current ratio (PVCR) and the peak current desnity ( $J_{p}$) for the accurate digital switching operation and the high output of the device. In this work, a resonant interband tunneling diode (RITD) with single quantum well structure, which is composed of I $n_{0.47}$As/I $n_{0.52}$A $l_{0.48}$As heterojunction on the InP substrate, is fabricated ot improve PVCR and JP, and then the dependence of I-V charcteristics on the width of the quantum well was investigated.d.ted.d.

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Liquid viscosities of binary mixtures and some hydrocarbons in the high pressure range with applications of the significant structure theory

  • Jun Su Bhang;Sang Joon Hahn;Mu Shik Jhon
    • Journal of the Korean Chemical Society
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    • v.14 no.2
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    • pp.193-199
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    • 1970
  • Further validity of the significant structure theory has been tested by calculating the viscosities of binary mixtures-three pairs of $C_6H_6(1)+C_6H_{12}\;(2),\;CCI_4\;(1)+C_6H_6{2}and\l;CCI_4(1)+C_6H_{12}(2)$-and also by calculating the viscosities of n-$C_5H_{12}\;and\;n-C_6H_{14}$ in the pressure range of 1 bar to 4000 bars. The results are quite satisfactory for both cases and provide another evidence for the validity of the significan structure theory.

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A study on the Empirical Design of EMI Filters for Power Supply Noise Reduction in Electronic Devices (전자기기의 전원 노이즈 저감을 위한 EMI 필터 경험적 설계에 관한 연구)

  • Yun-Min Lee;Jin-Seob, Shin
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.23 no.4
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    • pp.59-64
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    • 2023
  • In this paper, It is proposed through the empirical design of a Conducted EMI filter for noise reduction of power used in electronic devices. For the proposed structure, A-type, B-type, C-type, and D-type structures were designed, and conductive noise reduction was confirmed by using an LC network with various X-capacitors, Y-capacitors, and Air-inductors. 10 [μH] was used for L1 and L2, and 4.7 [nF] was used for C1 and C2. L3 for common mode used 13[μH], and C5, C6, C7 were designed using 10[nF]. The measured insertion loss values of the designed EMI filter were -74.4[dB] at 3.2MHz, -75.4[dB] at 4MHz, and -75.3[dB] at 13.56MHz. Therefore, the proposed EMI filter will be able to reduce power supply noise used in various electronic devices.