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GENERALIZED CUBIC MAPPINGS OF r-TYPE IN SEVERAL VARIABLES

  • Kang, Dong Seung
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.1
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    • pp.37-45
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    • 2007
  • Let X, Y be vector spaces. In this paper, we investigate the generalized Hyers-Ulam-Rassias stability problem for a cubic function $f:X{\rightarrow}Y$ satisfies $$r^3f(\frac{\Sigma_{j=1}^{n-1}x_j+2x_n}{r})+r^3f(\frac{\Sigma_{j=1}^{n-1}x_j-2x_n}{r})+8\sum_{j=1}^{n-1}f(x_j)=2f{\sum_{j=1}^{n-1}}x_j)+4{\sum_{j=1}^{n-1}}(f(x_j+x_n)+f(x_j-x_n))$$ for all $x_1,{\cdots},x_n{\in}X$.

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Melt Textured Growth and Superconducting Properties of RE3+ Elements Doped YBCO Superconductors (RE3+원소가 첨가된 YBCO고온초전도체의 용융성장 및 초전도 특성)

  • 김소정
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.16 no.3
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    • pp.231-237
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    • 2003
  • RE(Nd, Sm) elements doped (RE/Y)$_{1.8}$B $a_{2.4}$C $u_{3.4}$$O_{7-x}$ [(RE/Y)1.8] high $T_{c}$ superconductors were directionally grown by Top Seed Melt Growth(TSMG) process in air atmosphere. The (001)melt-textured N $d_{1.8}$B $a_{2.4}$C $u_{3.4}$ $O_{7-X}$(Nd1.8) seed crystals were used for achieving the c-axis alignment large grains perpendicular to surface of the samples. The (RE/Y)1.8 SEM micrographs of the melt-textured (RE/Y)1.8 samples revealed that the nonsuperconducting (RE/Y)211 inclusions are uniformly distributed in the superconducting (RE/Y)123 matrix except the region very close to the Nd seed crystal. The microstructure and superconducting properties were investigated by XRD, SEM, TEM and SQUID magnetometer. The Melt-textured (RE/Y)1.8 samples showed an onset $T_{c}$=91K and sharp superconducting transition. Also, the magnetization value of the (RE/Y)1.8 samples were compared with those of Y1.8 sample at 77 K. 77 K. 77 K. 77 K.K.

Microstructure and Microwave Dielectric Properties of (1-x)Mg4Ta2O9-xTiO2(x=0\sim0.9) Ceramics ((1-x)Mg4Ta2O9-xTiO2(x=0\sim0.9)세라믹스의 미세구조와 마이크로파 유전 특성)

  • 김재식;최의선;이문기;류기원;이영희
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.17 no.8
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    • pp.840-845
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    • 2004
  • The microstructure and microwave dielectric properties of $(1-x){Mg}_4{Ta}_2{O}_9-xTi{O}_2(x=0\sim0.9)$ ceramics were investigated. The specimens were prepared by the conventional mixed oxide method with sintering temperature of 140$0^{\circ}C$∼150$0^{\circ}C$. To improve the quality factor and the temperature coefficient of resonant frequency,$ Ti{O}_2(\varepsilon\Gamma=100, Q\times f_\Gamma=40,000 GHz,\ta_f= +450 ppm\diagup^{\circ}C $ was added in ${Mg}_4{Ta}_2{O}_9$ceramics. The dielectric and structural properties were investigated. According to the XRD patterns, $(1-x){Mg}_4{Ta}_2{O}_9-xTi{O}_2(x=0\sim0.9)$ ceramics had the ${Mg}_4{Ta}_2{O}_9$ phase(hexagonal) and ${MgTi}_2{O}_5$phase(orthorhombic). The dielectric constant($\varepsilon_r$). quality($Qtimes{f}_r$${\tau}_f$) of the $(1-x){Mg}_4{Ta}_2{O}_9-xTi{O}_2(x=0\sim0.9)$ ceramics were 8.12∼18.59, 18,750∼186,410 GHz and -36.02∼+3.46 ppm/$^{\circ}C$, respectively.

ON 𝜃-MODIFICATIONS OF GENERALIZED TOPOLOGIES VIA HEREDITARY CLASSES

  • Al-Omari, Ahmad;Modak, Shyamapada;Noiri, Takashi
    • Communications of the Korean Mathematical Society
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    • v.31 no.4
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    • pp.857-868
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    • 2016
  • Let (X, ${\mu}$) be a generalized topological space (GTS) and $\mathcal{H}$ be a hereditary class on X due to $Cs{\acute{a}}sz{\acute{a}}r$ [8]. In this paper, we define an operator $()^{\circ}:\mathcal{P}(X){\rightarrow}\mathcal{P}(X)$. By setting $c^{\circ}(A)=A{\cup}A^{\circ}$ for every subset A of X, we define the family ${\mu}^{\circ}=\{M{\subseteq}X:X-M=c^{\circ}(X-M)\}$ and show that ${\mu}^{\circ}$ is a GT on X such that ${\mu}({\theta}){\subseteq}{\mu}^{\circ}{\subseteq}{\mu}^*$, where ${\mu}^*$ is a GT in [8]. Moreover, we define and investigate ${\mu}^{\circ}$-codense and strongly ${\mu}^{\circ}$-codense hereditary classes.

A Study on the Stability $Te_{100-x}Ge_x$ Thin Films for Optical Recording (광기록을 위한 Te-Ge 박막의 안정도에 관한 연구)

  • Chung, Hong-Bay;Lee, Young-Jong;Im, Sook
    • Proceedings of the KIEE Conference
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    • 1996.11a
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    • pp.229-231
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    • 1996
  • We are studied the stability of amorphous and crystalline $Te_{100-x}Ge_x$ (x=10, 15. 25, 40, 50, 60 at.%) thin films by observing the degradation in 8O%RH/$66^{\circ}C$ environment and the reflectance ratio. The degradation was observed with the transmittance and reflectance, the reflectance was measured at 780nm in the wavelength range of diode laser. In amorphous $Te_{100-x}Ge_x$ thin films of below x=4O at.%, the degradation was observed, the thin film of x=10 at.% was shown the degradation degree of 12.5%. In crystalline $Te_{100-x}Ge_x$ thin films of x=10, 40 at.%, the degradation degree were 12.8%, 13%, respectively. The reflectance ratio were shown above 20% in. all composition ratio. Therefore, we are expected that $Te_{100-x}Ge_x$ thin films of x=50, 60 at.% has the long life for the optical recording media.

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Luminescent Characteristics of Eu2+- Doped Ca3MgSi2O8:Eu2+ White Phosphors for LED (백색 LED용 Ca3MgSi2O8:Eu2+ 백색 형광체의 발광특성)

  • Yu, Il
    • Korean Journal of Materials Research
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    • v.28 no.8
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    • pp.474-477
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    • 2018
  • $Ca_3MgSi_2O_8:Eu^{2+}$(x = 0.003, 0.005, 0.007, 0.01, 0.03 mol) white phosphors for Light Emitting Diodes(LED) are synthesized with different concentrations of $Eu^{2+}$ ions using a solid state reaction method. The crystal structures, surface and optical properties of the phosphors are investigated using X-Ray Diffraction(XRD), Scanning Electron Microscope(SEM) and photoluminescence(PL). The X-Ray Diffraction results reveals that the crystal structure of the $Ca_3MgSi_2O_8:Eu^{2+}$ is a monoclinic system. The particle size of $Ca_3MgSi_2O_8:Eu^{2+}$ white phosphors is about $1{\sim}5{\mu}m$, as confirmed by SEM images. The maximum emission spectra of the phosphors are observed at 0.01 mol $Eu^{2+}$ concentration. The decrease in PL intensity in the $Ca_3MgSi_2O_8:Eu^{2+}$ white phosphors with $Eu^{2+}$ concentration is interpreted by concentration quenching. The International Commission on Illumination(CIE) coordinate of 0.01 mol Eu doped $Ca_3MgSi_2O_8$ is X = 0.2136, Y = 0.3771.

Karyotype Analysis of Five Species of Genus Pulsatilla (할미꽃속 식물 5종의 핵형 분석)

  • Lee, Woo-Kyu;Choi, Hae-Woon;Bang, Jae-Wook
    • Korean Journal of Medicinal Crop Science
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    • v.12 no.6
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    • pp.490-493
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    • 2004
  • Karyotypes were established in five Pulsatilla species from Korea : P. cernua, P. davurica, P. koreana, P. chinensis and P. tongkangensis. The somatic chromosome numbers of five species were all 2n=2x=16 with the basic number of x=8. The chromosome complement of P. cernua consisted of 5 pairs of metacentric, 1 pair of submetacentric and 2 pairs of subtelocentric. P. davurica, P. koreana and P. chinensis consisted of 5 pairs of metacentric and 3 pairs of subtelocentric. P. tongkangensis consisted of 5 pairs of metacentric, 2 pairs of submetacentric, and 1 pair of subtelocentric. Karyotype formulas of P. davurica, P. koreana, and P. chinensis were the same as K (2n) = 2x = 16 = 10m + 6st, while those of P. cernua was K (2n) = 2x = 16 = 10m + 2sm + 4st and P. tongkangensis was K (2n) = 2x = 16 = 10m + 4sm + 2st, respectively.

Effect of X-537A on Hydrogen Ion Concentration in Sperm Washed Solution and Sperm Acrosome Reacton in Bovine (X-537A가 정자세척액내 수소이온농도와 소 정자의 첨모반응에 미치는 영향)

  • 박영식;임경순
    • Korean Journal of Animal Reproduction
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    • v.15 no.3
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    • pp.189-193
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    • 1991
  • This study was carried out ot investigate effects of X-537A on hydrogen ion concentration insperm washed solution and sperm acrosome reaction. The results obtained were as follows. 1. When bovine sperm was twice washed with SHP solutions of pH 6.8 and 7.4 and again washed with SHP solution containing 4$\mu$M of X-537A, in case of pH 6.8 the sperm washed with 4$\mu$M of X-537A showed signifciantly(p<0.01) higher hydrogen ion concentration in sperm washed solution than the sperm washed without X-537A. 2. When the sperm was twice washed with SHP solution and then washed with SHP solution containing 4$\mu$M of X-537A, sperm acrosome rection rate was signifciantly(p<0.01) increased from 12min after incubation in the sperm washed without X-537A, but was signifciantly(p<0.01) increased from 8 min after incubation in the sperm washed with 4$\mu$M of X-537A. 3. When the sperm was twice washed with SHP solution and then washed with SHP solution containing 0, 4 and 40$\mu$M of X-537A, and then incubated in m-TALP for 120 min, sperm acrosome reaction rate was significantly(p<0.01) increased from 15 min after incubation in 0, 4 and 40$\mu$m OF X-537A. However at 60 min incubation 40$\mu$M of X-537A showed significantly(p<0.01) higher sperm acrosome reaction rate than 0 and 4$\mu$M and at 120 min incubation 4 and 40$\mu$M of X-537A showed signifciantly(p<0.01) higher acrosome reaction rate than 0$\mu$M of X-537A.

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