• Title/Summary/Keyword: m-semi-$T_2$

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A Semi-empirical Mass-loss Rate in Short-period CVs

  • Kim, Woong-Tae;Sirotkin, Fedir V.
    • The Bulletin of The Korean Astronomical Society
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    • v.35 no.2
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    • pp.76.2-76.2
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    • 2010
  • We present the final results of our study on the mass-loss rate of donor stars in cataclysmic variables (CVs). Observed donors are oversized in comparison with those of isolated single stars of the same mass, which is thought to be a consequence of the mass loss. Using the empirical mass-radius relation of CVs and the homologous approximation for changes in effective temperature T2, orbital period P, and luminosity of the donor with the stellar radius, we find the semi-empirical mass-loss rate M2dot of CVs as a function of P. The derived M2dot is at ~10-9.5-10-10 $M\odot$/yr and depends weakly on P when P > 90 min, while it declines very rapidly towards the minimum period when P < 90 min. The semi-empirical M2dot is significantly different from, and has a less-pronounced turnaround behavior with P than suggested by previous numerical models. The semi-empirical P-M2dot relation is consistent with the angular momentum loss due to gravitational wave emission, and strongly suggests that CV secondaries with 0.075 $M\odot$ < M2 < 0.2 $M\odot$ are less than 2 Gyrs old. When applied to selected eclipsing CVs, our semi-empirical mass-loss rates are in good agreement with the accretion rates derived from the effective temperatures T1 of white dwarfs. Based on the semi-empirical M2dot, SDSS 1501 and 1433 systems that were previously identified as post-bounce CVs have yet to reach the minimal period.

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Weak Separation Axioms in Generalized Topological Spaces

  • Renukadevi, V.;Sivaraj, D.
    • Kyungpook Mathematical Journal
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    • v.54 no.3
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    • pp.387-399
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    • 2014
  • We show that in quasi-topological spaces, separation axiom $T_2$ is equivalent to ${\alpha}-T_2$, $T_0$ is equivalent to semi - $T_0$, and semi - $T_{\frac{1}{2}}$ is equivalent to semi - $T_D$. Also, we give characterizations for ${\alpha}-T_1$, semi - $T_1$ and semi - $T_{\frac{1}{2}}$ generalized topological spaces.

Segregation Mode of Plant Height in Crosses of Rice Cultivars Ⅸ. Crosses between Semi-dwarf Japonicas and Semi-dwarf(d-t) gene Testers (수도 품종간 교잡에 있어서 간장의 유전분리 Ⅸ. 단간 Japonica 품종과 Semi-dwarf (d-t) gene 검정친과의 조합)

  • Kim, Yong-Kwon;Kim, Hong-Yeol;Nam, Yeong-Woo;Park, Sun-Zik;Heu, Mun-Hue
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.30 no.4
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    • pp.449-454
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    • 1985
  • In order to search for the semi-dwarf japonica varieties allelic to the semi-dwarf rice cultivar which is controlled by d-t gene, seven dwarf japonica varieties. Reimei, Hoyoku. Shiranui, Kokumasari, M 7. S.224 and S.295 were crossed to the semi-dwarf cultivar, wx 817. wx 817 is known to have semi-dwarf gene d-t. Their F$_1$, F$_2$ and F$_3$ were grown in 1984 and 1985 and culm lengths were measured at harvest. The results are summarized as follows. 1. The F$_2$s of all 7 cross combinations showed normal distribution and no segregation. 2. The range of culm length variation in the F$_3$ was variable depending on the cross combination, but the general pattern was similar in the all 7 crosses. 3. The mean of F$_3$ and parental F$_2$ mean which were selected into short, medium and tall groups were similar and showed no segregation, implying the selection efficiency in F$_2$. 4. From the results of F$_2$ and F$_3$ segregations, it is concluded that the culm length of the 7 semi-dwarf japonicas tested here are controlled by the same major gene d-t although they are modified by different minor genes.

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STRUCTURE JACOBI OPERATORS OF SEMI-INVARINAT SUBMANIFOLDS IN A COMPLEX SPACE FORM II

  • Ki, U-Hang;Kim, Soo Jin
    • East Asian mathematical journal
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    • v.38 no.1
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    • pp.43-63
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    • 2022
  • Let M be a semi-invariant submanifold of codimension 3 with almost contact metric structure (φ, ξ, η, g) in a complex space form Mn+1(c). We denote by Rξ the structure Jacobi operator with respect to the structure vector field ξ and by ${\bar{r}}$ the scalar curvature of M. Suppose that Rξ is φ∇ξξ-parallel and at the same time the third fundamental form t satisfies dt(X, Y) = 2θg(φX, Y) for a scalar θ(≠ 2c) and any vector fields X and Y on M. In this paper, we prove that if it satisfies Rξφ = φRξ, then M is a Hopf hypersurface of type (A) in Mn+1(c) provided that ${\bar{r}-2(n-1)c}$ ≤ 0.

COMMUTING STRUCTURE JACOBI OPERATOR FOR SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 IN COMPLEX SPACE FORMS

  • KI, U-Hang;SONG, Hyunjung
    • East Asian mathematical journal
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    • v.38 no.5
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    • pp.549-581
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    • 2022
  • Let M be a semi-invariant submanifold with almost contact metric structure (𝜙, 𝜉, 𝜂, g) of codimension 3 in a complex space form Mn+1(c), c≠ 0. We denote by S and R𝜉 be the Ricci tensor of M and the structure Jacobi operator in the direction of the structure vector 𝜉, respectively. Suppose that the third fundamental form t satisfies dt(X, Y) = 2𝜃g(𝜙X, Y) for a certain scalar 𝜃(≠ 2c) and any vector fields X and Y on M. In this paper, we prove that M satisfies R𝜉S = SR𝜉 and at the same time R𝜉𝜙 = 𝜙R𝜉, then M is a Hopf hypersurface of type (A) provided that the scalar curvature s of M holds s - 2(n - 1)c ≤ 0.

A Study on Deep Levels in Rapid Thermal Annealed PICTS Semi-Insulating InP(100) by PICTS (PICTS 방법에 의한 급속열처리시킨 반절연성 InP(100)에서 깊은준위에 관한 연구)

  • 김종수;김인수;이철욱;이정열;배인호
    • Electrical & Electronic Materials
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    • v.10 no.8
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    • pp.800-806
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    • 1997
  • The behavior of de levels in rapid thermal annealed Fe-doped semi-insulating InP(100) was studied by photoinduced current transient spectrocopy(PICTS). In bulk InP, T2(Ec-0.24 eV), T3(Ec-0.30 eV) and T5(Ec-0.62 eV) traps were observed. After annealing the T2 trap was annihilated at 20$0^{\circ}C$ and recreated at 35$0^{\circ}C$. T3 trap was not affected below 40$0^{\circ}C$. With increasing temperature the concentration of T5 trap reduced and it was annihilated at 30$0^{\circ}C$. However the T1(Ec-0.16 eV) and T4(Ec-0.42 eV) traps were began to appear at 40$0^{\circ}C$and these concentrations were increased with annealing temperature. The T1 and T4 traps seem to be related to the isolated phosphorus vacancy( $V_{p}$) and $V_{p}$-indium antisite( $V_{p}$- $P_{in}$ ) or $V_{p}$-indium interstitial( $V_{p}$-I $n_{I}$) respectiely.respectiely.

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STRUCTURE JACOBI OPERATOR OF SEMI-INVARINAT SUBMANIFOLDS IN COMPLEX SPACE FORMS

  • KI, U-HANG;KIM, SOO JIN
    • East Asian mathematical journal
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    • v.36 no.3
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    • pp.389-415
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    • 2020
  • Let M be a semi-invariant submanifold of codimension 3 with almost contact metric structure (𝜙, ξ, η, g) in a complex space form Mn+1(c), c ≠ 0. We denote by Rξ and R'X be the structure Jacobi operator with respect to the structure vector ξ and be R'X = (∇XR)(·, X)X for any unit vector field X on M, respectively. Suppose that the third fundamental form t satisfies dt(X, Y) = 2𝜃g(𝜙X, Y) for a scalar 𝜃(≠ 2c) and any vector fields X and Y on M. In this paper, we prove that if it satisfies Rξ𝜙 = 𝜙Rξ and at the same time R'ξ = 0, then M is a Hopf real hypersurfaces of type (A), provided that the scalar curvature ${\bar{r}}$ of M holds ${\bar{r}}-2(n-1)c{\leq}0$.