• 제목/요약/키워드: $J_c$

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SOME RESULTS ON UNIQUENESS OF MEROMORPHIC SOLUTIONS OF DIFFERENCE EQUATIONS

  • Gao, Zong Sheng;Wang, Xiao Ming
    • 대한수학회논문집
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    • 제32권4호
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    • pp.959-970
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    • 2017
  • In this paper, we investigate the transcendental meromorphic solutions with finite order of two different types of difference equations $${\sum\limits_{j=1}^{n}}a_jf(z+c_j)={\frac{P(z,f)}{Q(z,f)}}={\frac{{\sum_{k=0}^{p}}b_kf^k}{{\sum_{l=0}^{q}}d_lf^l}}$$ and $${\prod\limits_{j=1}^{n}}f(z+c_j)={\frac{P(z,f)}{Q(z,f)}={\frac{{\sum_{k=0}^{p}}b_kf^k}{{\sum_{l=0}^{q}}d_lf^l}}$$ that share three distinct values with another meromorphic function. Here $a_j$, $b_k$, $d_l$ are small functions of f and $a_j{\not{\equiv}}(j=1,2,{\ldots},n)$, $b_p{\not{\equiv}}0$, $d_q{\not{\equiv}}0$. $c_j{\neq}0$ are pairwise distinct constants. p, q, n are non-negative integers. P(z, f) and Q(z, f) are two mutually prime polynomials in f.

$^{13}C-^{1}H$ Coupling Constant as a Criterion for the Presence of $\pi$ Bridging in Substituted 9-Benzonorbornenyl Cation

  • Gweon-Young Ryu;Jung-Hyu Shin
    • Bulletin of the Korean Chemical Society
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    • 제14권5호
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    • pp.546-548
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    • 1993
  • The discrete structure of substituted 9-benzonorbornenyl cation 3a and 3c was studied using the empirical ${\Delta}$J equation which was developed by Kelly and coworker$^5$. The ${\Delta}$J values of substituted 9-benzonorbornenyl cations were obtained from p-methyl-6,7-dimethyl benzonorbornen-9-yl (3a) and 9-methyl-6,7-dimethyl benzonorbonen-9-yl (3c) cations under stable ion conditions, and were compared with those of the corresponding ketone analog; these cations were generated by dissolving the corresponding carbinols in superacid at -120$^{\circ}$C and the nmr spectra taken at -60$^{\circ}$C~-90$^{\circ}$C. The ${\Delta}$J values are 8.7 Hz for the bridgehead carbons in cation 3c and 3.1 Hz for cation 3b. The ${\Delta}$J values at C5,8 in fused benzene ring are 14.3 Hz for cation 3c and 8.7 Hz for cation 3a. The excellent correlation of the ${\Delta}$J values with 1$^9F$ chemical shifts of p-fluorophenyl-6,7-dimethylbenzonorbornenyl cation (3d) indicate that ${\Delta}$J value is a reliable probe to charge density at adjacent cationic carbon. These NMR parameters strongly support that the symmetrically ${\pi}$-bridged nonclassical structure (type 2) of substituted 9-benzonorbornenyl cations in stable ion conditions.

LBB 평가를 위한 J-R 파괴인성시험 결과에 미치는 시편 형상과 측면 홈의 영향 (Effects of Specimen Size and Side-groove on the Results of J-R Fracture Toughness Test for LBB Evaluation)

  • 김진원;최명락;오영진;박흥배;김경수
    • 대한기계학회논문집A
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    • 제39권7호
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    • pp.729-736
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    • 2015
  • 본 논문에서는 파단전누설 평가를 위한 J-R 파괴인성시험에 미치는 시편 크기와 측면 홈의 영향을 분석하였다. 이를 위해서 SA508 Gr.1a 배관재에서 채취된 측면 홈이 가공되거나 가공되지 않은 크기가 다른 3종류의 CT 시편(12.7mm 두께의 1T-CT, 25.4mm 두께의 1T-CT, 25.4mm 두께의 2T-CT)을 이용하여 상온과 $316^{\circ}C$에서 J-R 시험을 수행하였다. 시험 결과, 시편 두께에 관계없이 측면 홈이 가공된 시편은 측면 홈이 없는 시편에 비해 낮은 J-R 곡선을 보였으며, 상온에 비해 $316^{\circ}C$에서 측면 홈의 영향이 더욱 뚜렷하였다. 상온에서는 시편의 두께가 감소하고 폭이 증가함에 따라 J-R 곡선이 약간씩 감소하는 경향을 보였으나, $316^{\circ}C$에서는 시편의 두께가 감소하고 폭이 증가됨에 따라 J-R 곡선이 증가하였다. 그러나 SA508 Gr.1a 배관재에서 전체적으로 시편의 폭과 두께에 따른 J-R 곡선의 변화는 크지 않았다.

A Small group of protostellar objects: L1251C

  • Kim, Jungha;Lee, Jeong-Eun;Choi, Minho
    • 천문학회보
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    • 제38권2호
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    • pp.66.1-66.1
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    • 2013
  • We present various observational results toward a small group of Young Stellar Objects (YSOs), L1251C. Observations by Spitzer Space Telescope legacy program "From Molecular Cores to Planet Forming Disks" (c2d; Evans et al. 2003) revealed that there are three YSOs within ~15" in L1251C: IRS1 (Class I), IRS2 (Class II), and IRS3 (Class II). In order to understand the molecular environment around these YSOs, we carried out the KVN single-dish observations in $HCO^+$ J=1-0, $H^{13}CO^+$ J=1-0, $N_2H^+$ J=1-0 and HCN J=1-0. $^{12}CO$ J=1-0 was also mapped in L1251C with the TRAO 14m telescope. Integrated intensity maps of high density tracers such as $H^{13}CO^+$ J=1-0, $N_2H^+$ J=1-0 and HCN J=1-0 show similar emission distributions, whose peaks are off the positions of YSOs. A compact $HCO^+$ J=1-0 outflow and an extended $^{12}CO$ J=1-0 outflow were observed, but their outflow axes are not cosistent ($HCO^+$: NW-SE, $^{12}CO$: EW). However, the highest velocity component of the $^{12}CO$ J=1-0 outflow shows similar morphology to the $HCO^+$ J=1-0 outflow, and ~ 23 % of $^{12}CO$ outflow momentum flux is loaded onto this high velocity component. Furthermore, continuum emission has been observed at 350, 450, 850 ${\mu}m$, and 1.3mm. With the KVN single dish, the 22 GHz $H_2O$ maser emission has been also monitored toward L1251C to find variations of the systemic velocity and intensity with time.

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압력용기용강의 고온파괴인성에 관한 연구 (A Study on HIGH TEMPERATURE FRACTURE TOUGHNESS of Pressure Vessel Steel SA516 at High Temperature.)

  • 박경동;김정호
    • 대한용접접합학회:학술대회논문집
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    • 대한용접접합학회 2001년도 춘계학술발표대회 개요집
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    • pp.228-231
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    • 2001
  • Elastic-plastic fracture toughness $J_{1c}$ can be used as an effective design criterion in elastic plastic fracture mechanics. Most of these systems are operated at high temperature and $J_{1c}$ values are affected by temperature. therefore, the $J_{1c}$ valuse at high temperature must be determined for use of integrity evaluation and designing of such systems. Elastic-plastic fracture toughness $J_{1c}$ tests were performed on SA516 carbon steel plate and test results were analyzed according to ASTM E 813-8, ASTM 1813-89. Safety and integrity are required for reactor pressure vessels vecause pthey are operated in high temperature. there are single specimen method, which used as evaluation of safety and integrity for reactor pressure vessels. In this study, elastic-plastic fracture toughness$(J_{1c})$ and $J-\Delta{a}$ of SA 516/70 steel used as reactor pressure vessel steel are measured and evaluated at room Temperature, $150^{\circ}C$, $250^{\circ}C$ and $370^{\circ}C$ according to unloading compliance method.

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Inter- and Intra-granular Critical Current in $Bi_{1.4}Pb_{0.6}Sr_2Ca_2Cu_{3.6}O_x$ Superconducting Oxide

  • Choy, Jin-Ho;Kim, Seung-Joo;Park, J.C.;Frohlich, K.;Dordor, P.;Grenier, J.C.
    • Bulletin of the Korean Chemical Society
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    • 제11권6호
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    • pp.560-563
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    • 1990
  • A.c. susceptibility for $Bi_{1.4}Pb_{0.6}Sr_2Ca_2Cu_{3.6}O_x$ superconductor is measured as a function of temperature at different value of a.c. magnetic field amplitude. Two transition steps are attributed to the intergranular and intragranular properties. Based on Bean's critical state model, intergranular critical current density, $J_c^{gb}$ (11 $A/cm^2$ at 77 K) and intragranular critical current density, $J_c^g (7{\times}10^3\;A/cm^2$ at 100 K) are estimated. The low values of $J_c^{gb}$and $J_c^g$ reflect a poor nature of coupling between grains and the low pinning force density of intragrain in $Bi_{1.4}Pb_{0.6}Sr_2Ca_2Cu_{3.6}O_x$ superconductor.

$MgB_2$ Thin Films on SiC Buffer Layers with Enhanced Critical Current Density at High Magnetic Fields

  • Putri, W.B.K.;Tran, D.H.;Kang, B.;Lee, N.H.;Kang, W.N.
    • Progress in Superconductivity
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    • 제14권1호
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    • pp.30-33
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    • 2012
  • We have grown $MgB_2$ superconducting thin films on the SiC buffer layers by means of hybrid physical-chemical vapor deposition (HPCVD) technique. Prior to that, SiC was first deposited on $Al_2O_3$ substrates at various temperatures from room temperature to $600^{\circ}C$ by using the pulsed laser deposition (PLD) method in a vacuum atmosphere of ${\sim}10^{-6}$ Torr pressure. All samples showed a high transition temperature of ~40 K. The grain boundaries of $MgB_2$ samples with SiC layer are greater in amount, compare to that of the pure $MgB_2$ samples. $MgB_2$ with SiC buffer layer samples show interesting change in the critical current density ($J_c$) values. Generally, at both 5 K and 20 K measurements, at lower magnetic field, all $MgB_2$ films deposited on SiC buffer layers have low $J_c$ values, but when they reach higher magnetic fields of nearly 3.5 Tesla, $J_c$ values are enhanced. $MgB_2$ film with SiC grown at $600^{\circ}C$ has the highest $J_c$ enhancement at higher magnetic fields, while all SiC buffer layer samples exhibit higher $J_c$ values than that of the pure $MgB_2$ films. A change in the grain boundary morphologies of $MgB_2$ films due to SiC buffer layer seems to be responsible for $J_c$ enhancements at high magnetic fields.