• Title/Summary/Keyword: $I_c$-B

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UNITARILY INVARIANT NORM INEQUALITIES INVOLVING G1 OPERATORS

  • Bakherad, Mojtaba
    • Communications of the Korean Mathematical Society
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    • v.33 no.3
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    • pp.889-899
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    • 2018
  • In this paper, we present some upper bounds for unitarily invariant norms inequalities. Among other inequalities, we show some upper bounds for the Hilbert-Schmidt norm. In particular, we prove $${\parallel}f(A)Xg(B){\pm}g(B)Xf(A){\parallel}_2{\leq}{\Large{\parallel}}{\frac{(I+{\mid}A{\mid})X(I+{\mid}B{\mid})+(I+{\mid}B{\mid})X(I+{\mid}A{\mid})}{^dA^dB}}{\Large{\parallel}}_2$$, where A, B, $X{\in}{\mathbb{M}}_n$ such that A, B are Hermitian with ${\sigma}(A){\cup}{\sigma}(B){\subset}{\mathbb{D}}$ and f, g are analytic on the complex unit disk ${\mathbb{D}}$, g(0) = f(0) = 1, Re(f) > 0 and Re(g) > 0.

Properties of $MgB_2$ Intragrain Nanobridges ($MgB_2$ 결정립 나노브릿지 특성에 관한 연구)

  • Hong, Sung-Hak;Lee, Soon-Gul;Seong, Won-Kyung;Kang, Won-Nam;Kim, Dong-Ho;Kim, Young-Kuk;Chung, Kook-Chae
    • Progress in Superconductivity
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    • v.10 no.2
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    • pp.74-78
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    • 2009
  • Inter-grain nanobridges of the $MgB_2$ superconductor have been fabricated by focused-ion-beam(FIB) and their electrical transport properties were studied. The $MgB_2$ film was prepatterned into microbridges by a standard argon ion milling technique and then FIB-patterned into 100 nm$\times$100 nm bridges. Current-voltage characteristics showed a strong flux-flow type behavior at all temperatures with a trait of Josephson coupling near $T_c$. At low temperatures, the curves showed a two-step resistance-doubled transition with occasional hysteresis. The resistance-doubling transition is believed to be due to a two-channel flux-flow effect. The temperature-dependent critical current data showed $I_c(T){\propto}(1-T/T_c)^2$ near $T_c$, same as a normal barrier junction, and $I_c(T){\propto}(1-T/T_c)^{1.2}$ at low temperatures, similar to that of a film.

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Characteristics of Fermentation and Aging by Different Adding of Brewing Water in Korean Traditional Cheongju (가수량을 달리한 전통 청주의 발효 및 숙성 특성 연구)

  • Moon, Jin-Seok;Kong, Tae-In;Cheong, Chul
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.8
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    • pp.5468-5475
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    • 2015
  • This present work was aimed to analyse characteristics of fermentation and aging of Korean traditional cheongju prepared by adding of different brewing water. The three different mashes were used for fermentation and maturation. The cheongju(A) was prepared without adding of brewing water in two stage mashing. Cheongju(B) and cheongju(C) were made with adding of 1 liter and 2 liter brewing water in two stage mashing respectively whereas the cheongju(B) and cheongju(C) showed higher fermentation ability than that of cheongju(A) regarding to pH, ethanol, specific gravity and sugar concentration(brix). In terms of volatile compounds content after six months aging, cheongju(A and B) prepared by adding brewing water showed the higher content of ethyl acetate than that of cheong(C) and the concentrations were maintained during the aging period. In addition, the content of fusel oil(n-propanol, i-butanol, n-butanol, i-bmyl alcohol, n-bmyl alcohol)indicated similar pattern as ethyl acetate. The organic acid of cheongju B(4873.46 mg/l) and C(4963.12 mg/l) also indicated the higher content than that of cheongju A(4661.47 mg/l). In conclusion, cheongju B and C prepared by adding brewing water in two stage mashing showed better quality and taste than that of cheongju A.

The Effect of Die Upset and Heat Treatment on the Magnetic Properties of Mechanically Ground Nd-Fe-B Alloys (기계적 분쇄한 Nd-Fe-B 합금의 다이업셋과 열처리가 자기적 특성에 미치는 영향)

  • 정원용;박정덕;곽창섭;양현수
    • Journal of the Korean Magnetics Society
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    • v.4 no.3
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    • pp.233-238
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    • 1994
  • The effect of die upset and heat treatment on the magnetic properties of mechanically ground $Nd_{16}Fe_{78}B_{6}$ alloys has been studied. Although stripe domain patterns parallel to the compression direction were observed after die upset, it was found that crystallographic c-axes of a specimen were not completely aligned along the compression direction' which resulted in the decrease of Br. The average grain size of a die-upset specimen annealed for 5 hours at $1000^{\circ}C$ was about $20\mu\textrm{m}$, resulting in reduced values of Br and $_{i}H_{c}$. The maximum magnetic properties (Br=7.8 kG and $(_{i}H_{c}=14\;kOe) were obtained from the magnet die-upset at $750^{\circ}C$ using the alloy powder ground for 13 hours.

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AN ERDŐS-KO-RADO THEOREM FOR MINIMAL COVERS

  • Ku, Cheng Yeaw;Wong, Kok Bin
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.3
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    • pp.875-894
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    • 2017
  • Let $[n]=\{1,2,{\ldots},n\}$. A set ${\mathbf{A}}=\{A_1,A_2,{\ldots},A_l\}$ is a minimal cover of [n] if ${\cup}_{1{\leq}i{\leq}l}A_i=[n]$ and $$\bigcup_{{1{\leq}i{\leq}l,}\\{i{\neq}j_0}}A_i{\neq}[n]\text{ for all }j_0{\in}[l]$$. Let ${\mathcal{C}}(n)$ denote the collection of all minimal covers of [n], and write $C_n={\mid}{\mathcal{C}}(n){\mid}$. Let ${\mathbf{A}}{\in}{\mathcal{C}}(n)$. An element $u{\in}[n]$ is critical in ${\mathbf{A}}$ if it appears exactly once in ${\mathbf{A}}$. Two minimal covers ${\mathbf{A}},{\mathbf{B}}{\in}{\mathcal{C}}(n)$ are said to be restricted t-intersecting if they share at least t sets each containing an element which is critical in both ${\mathbf{A}}$ and ${\mathbf{B}}$. A family ${\mathcal{A}}{\subseteq}{\mathcal{C}}(n)$ is said to be restricted t-intersecting if every pair of distinct elements in ${\mathcal{A}}$ are restricted t-intersecting. In this paper, we prove that there exists a constant $n_0=n_0(t)$ depending on t, such that for all $n{\geq}n_0$, if ${\mathcal{A}}{\subseteq}{\mathcal{C}}(n)$ is restricted t-intersecting, then ${\mid}{\mathcal{A}}{\mid}{\leq}{\mathcal{C}}_{n-t}$. Moreover, the bound is attained if and only if ${\mathcal{A}}$ is isomorphic to the family ${\mathcal{D}}_0(t)$ consisting of all minimal covers which contain the singleton parts $\{1\},{\ldots},\{t\}$. A similar result also holds for restricted r-cross intersecting families of minimal covers.

The Geometrical Isomerization on Acidification in Hexamolybdoheteropoly Oxometalate. The Crystal Structure of $(NH_{4})_{4.5}[H_{3.5}\alpha-PtMo_{6}O_{24}].\;1.5H_{2}O,\;(NH_{4})_{4}[H_{4}\beta-PtMo_{6}O_{24}].\;1.5H_{2}O,\;and\;K_{3.5}[H_{4.5}\alpha-PtMo_{6}O_{24}].\;3H_{2}O$

  • Lee, Uk;Yukiyoshi Sasaki
    • Bulletin of the Korean Chemical Society
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    • v.15 no.1
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    • pp.37-45
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    • 1994
  • $(NH_4)_{4.5}[H_{3.5}{\alpha}-PtMo_6O_{24}]{\cdot}1.5\;H_2O(A),\;(NH_4)_4[H_4{\beta}-PtMo_6O_{24}]{\cdot}1.5\;H_2O(B),\;and\;K_{3.5}[H_{4.5}{\alpha}-PtMo_6O_{24}]{\cdot}3\;H_2O(C)$ have been synthesized and their molecular structures have been also determined by single-crystal X-ray diffraction technique. The space groups, unit cell parameters, and R factors are as follows: Compound A, monoclinic, $A_{2/a}$, a= 19.074 (3), b=21.490 (3), c=15.183 (2) ${\AA};\;{\beta}$=109.67 (1) ${\AA}$; z=8; R=0.075($IF_0I>4{\sigma}(IF_0I);$ Compound B, triclinic, P$bar{1}$, a=10.776 (2), b=15.174 (4), c=10.697 (3) ${\AA};\;{\alpha}$ =126.29 (2), ${\beta}$=111.55 (2), ${\gamma}$=93.18 (2) ${\AA}$; Z=2; R=0.046($IF_0I>3{\sigma}(IF_0I);$): Compound C, triclinic, Pl, a=12.426 (2), b=13.884 (2), c=10.089 (1) ${\AA}$; ${\alpha}$=102.59 (2), ${\beta}$=110.73 (1), ${\gamma}$=53.93 (1) ${\AA}$; Z=2; R=0.074 ($IF_0I>3{\sigma}(IF_0I)$. Compounds A and C contain the well-known Anderson structure (planar structure) heteropoly oxometalate having approximate $bar{3}_m(D_{3d})$ symmetry, while compound B contains the bent structure heteropoly oxometalate having appproximate $2_{mm}(C2_v)$ symmetry. The bent structure and the planar one are geometrical isomers. These compounds are rot only novel heteroply molybdates containing platinate(IV) but also the first example of geometrical isomerism in the hexamolybdoheteropoly oxometalates. That isomerization surprisingly occurred because of the change of only 0.5 non-acidic hydrogen atom attached to the polyanion such as $[H_{3.5}{\alpha} -PtMo_6O_{24}]^{4.5-}{\to}[H_4{\beta}-PtMo_6O_{24}]^{4-}{\to}[H_{4.5}{\alpha} -PtMo_6O_{24}]^{3.5-}$. It seems that the gradual protonation of the polyanion plays an important role in that isomerism. These heteropolyanions form dimers by strong hydrogen bonds between two heteropolyanions in the respective crystal system.

Studies on the Effects of Injected Amount of I131 in Uptake and Release Rate by Thyroid in Guinea Pigs 1. On the Influence of Injected Amount of Redioiodine-131 in Uptake and Release Rate by Thyroid in Male Guinea Pigs (방사성옥도(放射性沃度)(I131)의 주입량(注入量)이 기니픽 갑상선(甲狀腺)에의 섭취(攝取) 및 방출률(放出率)에 미치는 영향(影響)에 관(關)한 연구(硏究) 제(第)1보(報) 방사성옥도(放射性沃度)(I131)의 주입량(注入量)이 웅(雄)기니픽 갑상선(甲狀腺)에서의 섭취(攝取) 및 방출률(放出率)에 미치는 영향(影響))

  • Chung, Yung Chai;Shim, Sang Chil;Lee, Heung Shik
    • Korean Journal of Veterinary Research
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    • v.6 no.1
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    • pp.24-30
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    • 1966
  • In order to observe the effect of the injected radioactive iodine-$I^{131}$ on the uptake in thyroid of normal male guinea pigs and P.B.$I^{131}$ conversion ratio of $I^{131}$ in serum, 24 matured male guinea pigs were divided in 4 groups and $35{\mu}c$, $70{\mu}c$, $140{\mu}c$ and $280{\mu}c$ per kg of body weight respectively were injected subcutaneously. 1. The uptake rates of radioactveiodine-$I^{131}$ by external counts of thyroidal uptake reached the maximum level of uptake in 24 hours after injection. 2. As the injected amount increases, the uptake rates of maximum levels and release rate were increased. 3. Uptake rate in the removed thyroid have shown no statistical in the $35{\mu}c$ and $70{\mu}c$ groups of injected guinea pigs. 4. There was no statistical significance in $140{\mu}c$ and $280{\mu}c$ groups of injected guinea pigs. 5. P.B.$I^{131}$ conversion ratio of $I^{131}$ in serum was not in proportion to injected amounts: 61.0%(35), 70.2%(70), 75.3%(140) and 64.8%(280).

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Magnetic Properties of NdFeB Powders Prepared by Mechanical Alloying (기계적합금법으로 제조한 NdFeB계 분말의 자기적 성질)

  • Kim, Taek-Soo;Hwang, Yeon;Lee, Hyo-Sook
    • Journal of the Korean Magnetics Society
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    • v.8 no.4
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    • pp.210-215
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    • 1998
  • $Nd_{15}Fe_{77}B_8$ and $Nd_{16}Fe_{76}B_8$ powders were prepared by mechanical alloying in Ar atmosphere, and their phases and magnetic properties were investigated with as a function of the annealing temperature. It was found that the mechanical alloyed $Nd_{16}Fe_{76}B_8$ powder for 450 hours was amorphous phase with a part of $\alpha$-Fe crystallites. The obtained powders at 700 $^{\circ}C$ for 30 minute resulted in two phase of $Nd_2Fe_{14}B$ and $NdB_6$ by the solid-state reaction. The mechanical alloyed $Nd_{16}Fe_{76}B_8$ powder for 450 hour and annealed at 700 $^{\circ}C$ for 30 minute was showed $_iH_c\;of\;9.91\;kOe,\; B_{max}\;of\;12.93\;kG,\;Br\;of\;7.6\;kG\;and\;(BH)_{max}\;10.1\;MGOe$.

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Cytogenetic and Molecular Genetic Studies on Duchenne Muscular Dystrophy (Duchenne Muscular Dystrophy에 관한 세포유전학 및 분자유전학적 연구)

  • Hong, Hea-Sook
    • Journal of Korean Biological Nursing Science
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    • v.7 no.1
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    • pp.29-46
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    • 2005
  • Purpose ; 본 연구는 X-염색체와 관련된 장애 중에서 가장 흔하고 심한 Duchenne Muscular Dystrophy(DMD)의 세포유전학 및 분자유전학적 특성을 설명하기 위해서 DMD에 영향을 받고 있는 두 가계의 13명을 대상으로 가계도 분석과 염색체 분석 및 DNA 분석을 하였다. Method ; DNA분석은 DNA probe을 이용한 Southern blotting method로써 RFLPs와 DMD유전자 부위의 exon소실 유무를 조사하여 아래와 같은 결과를 얻었다. Conclusion ; A 염색체 분석 : 말초혈액과 양수를 표본으로 High-Resolution GTG염색에서 A가계와 B가계의 염색체 분석에서 12명의 염색체는 정상 X-염색체였으나 B가계의 I-2(DMD여성)에서 46, x,-x,+t(2:x)(q 21.1 : p21.2)로 나타난다. B. DNA분석3 : 1) RFLPs의 분석 J66,XJ-1.1,754-11로써 B가계의 RELPs(Restriction Fragment Length Polymorphisms)에서 J66/Pst I은 1.7hb(E), 1.6kb(e)을 보여 주었고 XJ-1.1/Taq I은 3.6kb(F), 3.0kb(f), 754-11/EoR I은 4.2kb(G), 2.0kb(g)의 대립인자를 나타내었다. 이상의 결과를 바탕으로 영향을 받고 있는 남자 (II-2)의 haplotype는 보인자인 어머니의 한쪽 인자를 받았으며 어머니와 딸은 보인자이고 임산부의 태아는 남아였고 태아의 인자들은 그의 할아버지로부터 물려받아 DMD에 영향을 받지 않은 것으로 진단되었다. 2) DMD 유전자의 exon 소실에 대한 분석 cDNA probe 8과 cDNA probe 2b-3으로써 소실에 대한 진단은 영향을 받은 남자(II-2)는 cDNA probe 8에서 12, 7.3, 6.6, 4.2kb에 소실이 있고 cDNA 2b-3은 1.7kb에 소실에 나타났다.

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Microstructure and Superconducting Properties of (Bi,Pb)-Sr-Ca-Cu-O-(Ag, Au, Mg) Composites ((Bi,Pb)-Sr-Ca-Cu-O-(Ag, Au, Mg) 복합체의 미세구조와 초전도 특성)

  • 이민수
    • Journal of the Korean Ceramic Society
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    • v.40 no.5
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    • pp.447-454
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    • 2003
  • Samples were prepared by the solid-state reaction method. The nominal composition of the samples was B $i_{1.84}$P $b_{0.34}$S $r_{1.91}$C $a_{2.03}$C $u_{3.06}$ $O_{10+{delta}$ prepared from powder of B $i_2$ $O_3$, PbO, SrC $O_3$, CaC $O_3$, and CuO. They were pulverized, mixed with AgO, A $u_2$ $O_3$and MgO of 50 wt%. Finally, they were sintered at 820 to 85$0^{\circ}C$ in air. The structural characteristics, the microstructure of surface and the critical temperature with respect to the each samples were analyzed by XRD, $T_{c}$, SEM and EDS respectively. It was found that the the critical temperature of the silver oxide additive samples (99.58 K) is higher than those of gold or magnesium oxides additive samples, but all those values are lower than that of pure Bi-2223 phase. The microstructure of surface showed the tendency which the AgO additive samples become more minuteness than A $u_2$ $O_3$ and MgO additive samples.s.samples.s.