• 호남수학학술지
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• 제1권1호
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• pp.11-14
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• 1979

S^{**}를 S의 subclass로서$f(z)=z+a_zz^2+{\cdots}\;{\cdots}\;{\cdots}\;{\cdots}$가 $Re\{zf^'(z)[f(z)-f(-z)]^{-1}\}$>0, ${\left|z\right|}$<1을 만족하는 함수족(函數族)이라 하자. M.S. Robertson은 1961년에 subordination의 원리를 이용하여 $f(z)=z+a_zz^2+{\cdots}\;{\cdots}\;{\cdots}$가 S^{**}에 속하기 위한 충분조건을 구하였다. 본(本) 논문(論文)은 Robertson의 조건에 약간의 수정을 가해서 f(Z)가 S^{**}에 속하기 위한 필요 충분 조건을 만들고, 그것을 증명하였다.

• 한국복합재료학회:학술대회논문집
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• 한국복합재료학회 2003년도 춘계학술발표대회 논문집
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• pp.113-116
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• 2003

The investigation of delamination growth behavior in hybrid composite material such as FRMLs should be considered delamination growth rate, dA_D/da$ using the delamination shape factor, $f_S$ instead of traditional fracture mechanics parameters. The main objective of this study is to evaluate the relationship between delamination element (i. e. delamination width, b, delamination contour, c, delamination shape factor, $f_S$ and delamination growth rate, dA_D/da$) and delamination growth in FRMLs under cyclic bending moment. The delamination shape formed along the fatigue crack between aluminum layer and glass fiber/epoxy layer are measured by scanning method. The details of study are as follow : ⅰ) Relationship between crack length, a and delamination width, b. ⅱ) Variation of delamination growth rate, dA_D/da$ was attendant on delamination shape factors, $f_{S1}$, $f_{S2}$, $f_{S3}$. The test result indicated the delamination growth behavior depends in delamination element such as delamination width, b, delamination shape factors, $f_{S1}$, $f_{S2}$, $f_{S3}$.

• 대한수학회논문집
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• 제30권4호
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• pp.349-361
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• 2015

A fence is an ordered set that the order forms a path with alternating orientation. Let F = (F;${\leq}$) be a fence and let OT(F) be the semigroup of all order-preserving self-mappings of F. We prove that OT(F) is coregular if and only if ${\mid}F{\mid}{\leq}2$. We characterize all coregular elements in OT(F) when F is finite. For any subfence S of F, we show that the set COTS(F) of all order-preserving self-mappings in OT(F) having S as their range forms a coregular subsemigroup of OT(F). Under some conditions, we show that a union of COTS(F)'s forms a coregular subsemigroup of OT(F).

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제19권1호
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• pp.43-57
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• 2012

By simply splitting the hypergeometric Saran function $F_E$ into eight parts, we show how some useful and generalized relations between $F_E$ and Srivas- tava's hypergeometric function $F^{(3)}$ can be obtained. These main results are shown to be specialized to yield certain relations between functions $_0F_1$, $_1F_1$, $_0F_3$, ${\Psi}_2$, and their products including different combinations with different values of parameters and signs of variables.

• 한국작물학회지
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• 제30권3호
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• pp.287-293
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• 1985

수도 9개 품종을 이용하여 이면교잡에 의한 36개 조합의 F$_1$ 및 F$_2$세대에서 간장, 수장, 수수에 관여하는 잡종강세 정도와 유전자분포상태를 검정하였던 바 그 결과를 요약하면 다음과 같다. 1. 간장의 잡종강세 정도는 F$_2$세대보다는 F$_1$세대에서 크고, SR7796-9, SR7796-44품종이 교배친으로 되어 있는 조합에서는 간장이 긴 쪽으로 현저한 Heterobeltiosis를 나타낸 조합이 많았다. 2. 수장에 있어서도 Heterosis와 Heterobeltiosis의 정도는 F$_1$세대에서 F$_2$세대보다 크고, ZLAYN, Arborio 품종이 교친으로 되어 있는 조합에서 수장이 긴 쪽으로 Heterobeltiosis를 나타낸 조합이 많았다. 3. 수수에 있어서도 F$_1$세대의 Heterosis 정도가 F$_2$세대보다 현저히 높았고, IR 747B$_2$-6, SR8234-17, SR8772-29품종이 교배친으로 되어있는 조합에서 Heterobeltiosis가 나타난 조합이 많았다. 4. 간장은 F$_1$, F$_2$세대 모두 불완전우성을 나타내었으며, 장간은 단간에 비하여 우성을 나타내었으나IR747B$_2$-6는 단간이 우성을 나타내었다. 5. 수장은 세대에서 불완전우성을 나타내었으며 품종에 따라 우열의 정도가 달랐다. 6. 수수에 있어서도 F$_1$, F$_2$세대 모두 불완전우성을 나타내었고, 대체적으로 수수가 적은 것이 많은 것에 비하여 우성이었다.

• 대한수학회논문집
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• 제12권4호
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• pp.851-854
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• 1997

In this paper we will show that the pure subring R of F-rational ring S is F-rational when R is a one-dimensional ring, or S is a Gorenstein ring. And we will give a condition that a pure subring of an F-rational ring is to be F-rational.

• 한국초전도학회:학술대회논문집
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• 한국초전도학회 2007년도 High Temperature Superconductivity Vol.XVII
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• pp.30-30
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• 2007

• Journal of applied mathematics & informatics
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• 제14권1_2호
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• pp.115-122
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• 2004

We characterize the additive operators preserving rank-additivity on symmetry matrix spaces. Let $S_{n}(F)$ be the space of all $n\;\times\;n$ symmetry matrices over a field F with 2, $3\;\in\;F^{*}$, then T is an additive injective operator preserving rank-additivity on $S_{n}(F)$ if and only if there exists an invertible matrix $U\;\in\;M_n(F)$ and an injective field homomorphism $\phi$ of F to itself such that $T(X)\;=\;cUX{\phi}U^{T},\;\forallX\;=\;(x_{ij)\;\in\;S_n(F)$ where $c\;\in;F^{*},\;X^{\phi}\;=\;(\phi(x_{ij}))$. As applications, we determine the additive operators preserving minus-order on $S_{n}(F)$ over the field F.

• 충청수학회지
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• 제31권2호
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• pp.231-237
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• 2018

Hardy's inequality is refined non-trivially as the form $${\int_{0}^{{\infty}}}\{{\frac{1}{x}}{\int_{0}^{x}}f(t)dt\}^pdx{\leq}Q_f{\times}({\frac{p}{p-1}})^p{\int_{0}^{x}}f^p(x)dx$$ for some $Q_f:0{\leq}Q_f{\leq}1$. $P{\acute{o}}lya$-Knopp's inequality is also refined by the similar form.

• 한국광학회:학술대회논문집
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• 한국광학회 1991년도 제6회 파동 및 레이저 학술발표회 Prodeedings of 6th Conference on Waves and Lasers
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• pp.98-101
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• 1991

The As2S3 thin film has a characteristics of optical modulation in both amplitude and phase. Since the As2S3 thin film can be used as a real-time reconfigurable optical filter, the fSDF filter can be optically fabricated on it. According to the modulation characteristics of the As2S3, the optimal fSDF filter recorded on this thin plate has the form of continuous amplitude and binary phase. Computer simulation and optical experiments on the optical pattern classification show that the As2S3 is suitable for the optical fSDF filter.