• Title/Summary/Keyword: F2

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Studies on AlF3-(Mg+Sr+Ba)F2-P2O5 Glasses II. Effect of MgF2 Contents (AlF3-(Mg+Sr+Ba)F2-P2O5계 유리에 관한 연구 제2보 : MgF2의 영향)

  • 김정은;이종근
    • Journal of the Korean Ceramic Society
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    • v.24 no.3
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    • pp.277-281
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    • 1987
  • The various contents of MgF2 from 0 to 12.5wt% are studied in the AlF3-(Mg+Sr+Ba)F2-P2O5 system for the effects of various properties in glasses and the atmosphere of melting was controlled by N2 and Ar gas respectively. Density, refractive index, infrared transmission, thermal conductivity and thermal expansion coefficient of glasses are determined. Density, refractive index and thermal conductivity are decreased, micro-hardness and thermal expansion coefficient are increased according to the increasing of MgF2 contents. Infrared transmittance decreases with increasing the MgF2 contents and it slightly dropped by air than N2 and Ar atmosphere. Other properties are not influenced by atmosphere control.

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A NOTE ON THE VALUE DISTRIBUTION OF f2(f')n FOR n≥2

  • Jiang, Yan
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.2
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    • pp.365-371
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    • 2016
  • Let f be a transcendental meromorphic function in the complex plane $\mathbb{C}$, and a be a nonzero constant. We give a quantitative estimate of the characteristic function T(r, f) in terms of $N(r,1/(f^2(f^{\prime})^n-a))$, which states as following inequality, for positive integers $n{\geq}2$, $$T(r,f){\leq}\(3+{\frac{6}{n-1}}\)N\(r,{\frac{1}{af^2(f^{\prime})^n-1}}\)+S(r,f)$$.

Studies on the Inheritance of Quantitative Characters in Rice Ⅵ. Differences of Degree of Heterosis and Gene Distributions for Several Agronomic Characters of Rice in 9-parent Diallel Cross $F_1$ and $F_2$ (수도 양적 형질의 유전에 관한 연구 제 6 보. 이면교잡에 의한 주요형질의 유전분석)

  • Jun, Byeong-Tae;Cho, Soo-Yeon;Chang, Kwon-Yeol
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.30 no.3
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    • pp.287-293
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    • 1985
  • Degree of heterosis and gene distributions of several agronomic characters of rice were studied with F$_1$ and F$_2$ generations of 9-parent partial diallel cross in 1983-1984. Degree of heterosis was greater in F$_1$ hybrids than F$_2$ hybrids for culm length, panicle length and number of panicle and the heterobeltiosis could be observed in culm length and number of panicle from several crosses. Incomplete dominance was exhibited by culm length, panicle length and number of panicle in F$_1$ and F$_2$ generations.

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Studies on Combining Ability and Inheritance of Major Agronomic Characters in Naked Barley (과맥의 주요형질에 대한 조합능력 및 유전에 관한 연구)

  • Kyung-Soo Min
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.23 no.2
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    • pp.1-24
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    • 1978
  • To obtain basic information on the breeding of early maturing, short culm naked-barley varieties, the following 10 varieties, Ehime # 1, Shikoku #42, Yamate hadaka, Eijo hadaka, Kagawa # 1, Jangjubaeggwa, Baegdong, Cheongmaeg, Seto-hadaka and Mokpo #42 were used in diallel crosses in 1974. Heading date, culm length and grain yield per plant for the parents, $F_1's$ and $F_2's$ of the 10X10 partial diallel crosses were measured in 1976 for analysis of their combining ability, heritability and inheritance. The results obtained are summarized below; 1. Heritabilities in broad sense for heading date, culm length and grain yield per plant were 0.7831, 0.7599 and 0.6161, respectively. Narrow sense heritabilities for heading date were 0.3972 in $F_1$ and 0.7789 in $F_2$ and for culm length 0.6567 in $F_1$ and 0.6414 in $F_2.$ These values suggest that earliness and culm length could be successfully selected for in the early generations. Narrow sense heritability for grain yield was 0.3775 in $F_1$ and 0.4170 in $F_2.$ 2. GCA effects of the $F_1$ and $F_2$ generations for days to heading were high in the early direction for early-heading varieties, while for late-heading varieties the GCA effects were high in the late direction. Absolute values for GCA effects in $F_1$ were higher than in $F_2.$ SCA effects of the $F_1$ and $F_2$ generations were high in the early-heading direction for Shikoku # 42 x Mokpo # 42, Ehime # 1 x Yamate hadaka, Shikoku # 42 x Yamate hadaka and Shikoku #42 x Eijo hadaka. 3. The GCA effects for culm length in the $F_1$ and $F_2$ generations for tall varieties were high in the tall direction while short varieties were high in the short direction. Absolute values for the GCA effects in $F_1$ were higher than in $F_2.$ SCA effects were high in the short direction for the combinations of Mokpo # 42 with Ehime # 1, Yamate had aka and Eijo hadaka. 4. The GCA effects for grain yields per plant in the $F_1$ and $F_2$ generations for varieties with high yields per plant were high in the high yielding direction, while varieties with low yields per plant were high in the low yielding direction. Absolute values of the $F_1$ GCA effects were higher than the $F_2$ effects. The combinations with high SCA effects were Mokpo # 42 x Shikoku # 42, Mokpo # 42 x Seto hadaka and Mokpo # 42 x Cheongmaeg. 5. Mean heading dates of the $F_1$ and $F_2$ generations were earlier than those of mean mid-parent. Mean heading date of the $F_1$ generation was earlier than the $F_2$ generation. Crosses involving early-heading varieties showed a greater $F_1, $ mid-parent difference than crosses involving late-heading varieties. 6. Heading date was controlled by a partial dominance effect. Nine varieties excluding Mokpo # 42 showed allelic gene action. Ehime # 1, Shikoku # 42, Kagawa # 1 and Mokpo # 42 were recessive to the other tested varieties. 7. The $F_2$ segregations of the 45 crosses for days to heading showed that 33 cosses were of such complexity that they could not be explained by simple genetic inheritance. One cross showed a 3 : 1 ratio where earliness was dominant. Another cross showed a 3 : 1 ratio where lateness was dominant. Four other crosses showed a 9 : 7 ratio for earliness while six crosses showed a 9 : 7 ratio for lateness. 8. Many transgressive segregants for earliness were found in the following crosses; Eijo hadaka x Baegdong, Ehime # 1 x Seto hadaka, Yamate had aka x Kagawa # 1, Kagawa # 1 x Sato hadaka, Shikoku # 42 x Kagawa # 1, Ehime # 1 x Kagawa # 1, Ehime # 1 x Shikoku # 42, Ehime # 1 x Eijo hadaka. 9. Mean culm length of the F, and F. generations were usually taller than the mid-parent where tall parent were used. These trends were high in the short varieties, but low in the tall varieties. 10. Culm length was controlled by partial dominace which was gonverned by allelic gene(s). Culm length showed a high degree of control by additive genes. Mokpo # 42 was recessive while Baegdong was dominant. 11. The F_2 frequency for culm length was in large part normally distributed around the midparent value. However, some combinations showed transgressive segregation for either tall or short culm length. From combinations between medium tall varieties, Ehime # 1, Shikoku # 42, Eijo hadaka and Seto hadaka, many short segregants could be found. 12. Mean grain yields per plant of the F_1 and F_2 generations were 6% and 5% higher than those of mid-parents, respectively. The varieties with high yields per plant showed a low rate of yield increase in their F_1's and F_2's while the varieties with low yields per plant showed a high rate of yield increase in their F_1's and F_1's. 13. Grain yields per plant showed over-dominnee effects, governed by non-allelic genes. Mokpo # 42 showed recessive genetic control of grain yield per plant. It remains difficult to clarify the inheritance of grain yields per plant from these data.

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Magnetic Susceptibility of the Single Crystal MnF2(1.5% EuF3) (단결정 MnF2(1.5% EuF3)의 자기 감수율)

  • Lee, Jun-Young;Nahm, Kyun;Kim, Chul-Koo
    • Journal of the Korean Magnetics Society
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    • v.16 no.5
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    • pp.261-263
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    • 2006
  • In order to investigate the magnetic properties of Eu ions in the single crystal $MnF_2$, the temperature dependent magnetic susceptibilities of the antiferromagnetic $MnF_2$ and the single crystal $MnF_2$(1.5% $EuF_3$) with the rutile structures were measured in the temperature range from 4K to 300K. The detailed analysis of the measured susceptibilities showed that the magnetic susceptibility by the doping of the small amount $EuF_3$ in the antiferromagnetic single crystal $MnF_2$ follows the antiferromagnetic Curie-Weiss law with the negative paramagnetic Curie temperature similarly as in $MnF_2$. It was also found that Eu ion has +3 valence. This solves the long standing discrepancy on this problem.

QUADRATIC (ρ1, ρ2)-FUNCTIONAL INEQUALITY IN FUZZY BANACH SPACES

  • Park, Junha;Jo, Younghun;Kim, Jaemin;Kim, Taekseung
    • The Pure and Applied Mathematics
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    • v.24 no.3
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    • pp.179-190
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    • 2017
  • In this paper, we introduce and solve the following quadratic (${\rho}_1$, ${\rho}_2$)-functional inequality (0.1) $$N\left(2f({\frac{x+y}{2}})+2f({\frac{x-y}{2}})-f(x)-f(y),t\right){\leq}min\left(N({\rho}_1(f(x+y)+f(x-y)-2f(x)-2f(y)),t),\;N({\rho}_2(4f(\frac{x+y}{2})+f(x-y)-2f(x)-2f(y)),t)\right)$$ in fuzzy normed spaces, where ${\rho}_1$ and ${\rho}_2$ are fixed nonzero real numbers with ${{\frac{1}{{4\left|{\rho}_1\right|}}+{{\frac{1}{{4\left|{\rho}_2\right|}}$ < 1, and f(0) = 0. Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic (${\rho}_1$, ${\rho}_2$)-functional inequality (0.1) in fuzzy Banach spaces.

Crossability, Germination Rate, and Pollen Fertility of Progeny Drived from Cross between Hexaploid Triticale(X Triticosecale Wittmack) and Wheat(Triticum aestivum L.) (6배체 트리티케일과 밀의 잡종초기세대의 교잡 친화성, 교잡종자의 발엽율 및 화분임성)

  • 황종진;이홍석;하용웅
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.36 no.3
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    • pp.226-235
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    • 1991
  • This experiment was carried out to obtain the information on the crossability, germination rate, and pollen viability of the progeny from the cross between hexaploid triticale cv. Sinkihomil and five hexaploid wheat varieties. The results are summarized as follows. Seed set was 28.8 to 41.8% (ave-raged 34.1%) in the cross between triticale and wheat, which resulted in 3.61% in F$_2$(selfed F$_1$), 3.99% in F$_1$/P$_1$ 21. 9% in F$_1$/P$_2$ respectively. However, seed set was extremely low in reciprocal crosses when triticale was used as male. In the backcross, crossability was higher in F$_1$/wheat and triticale/F$_1$ than that in wheat/F$_1$ and F$_1$/triticale, respectively. Germination rate of the crossed seed was 95% in F$_1$ 66.3% in F$_2$ (selfed F$_1$), 62.0% in F$_1$/P$_1$ and 81.0% in F$_1$/P$_2$ from the cross between triticale and wheat, respectively. When triticale cv. Sinkihomil was used as male, seeds were degenerated because of the failure of endorsperm development. This might be caused by AAABBBDDR genome constitution in the cytoplasm from a hexaploid wheat. Pollen fertility of F, plant was averaged 34.1% in the cross between triticale and wheat. Significant positive correlation between the pollen fertility and seed set rate in the cross between triticale and wheat were detected.

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