• 대한수학회지
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• 제32권1호
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• pp.51-60
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• 1995

Let $(M,g_M,F)$ be a (p+q)-dimensional connected Riemannian manifold with a foliation $F$ of codimension q and a complete bundle-like metric $g_M$ with respect to $F$. Let $Ric_D$ be the transverse Ricci field of $F$ with respect to the transverse Riemannian connection D which is a torsion-free and $g_Q$-metrical connection on the normal bundle Q of $F$. We consider transverse confomal (or, projective) fields of $F$. It is clear that a tranverse Killing field s of $F$ preserves the transverse Ricci field of $F$, that is, $\Theta(s)Ric_D = 0$, where $\Theta(s)$ denotes the transverse Lie differentiation with respect to s.

• Kyungpook Mathematical Journal
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• 제50권1호
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• pp.37-47
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• 2010

In this present work, the authors obtain Fekete-Szeg$\ddot{o}$ inequality for certain normalized analytic function f(z) defined on the open unit disk for which $\frac{(1-{\alpha})z(D^m_{{\lambda},{\mu}}f(z))'+{\alpha}z(D^{m+1}_{{\lambda},{\mu}}f(z))'}{(1-{\alpha})D^m_{{\lambda},{\mu}}f(z)+{\alpha}D^{m+1}_{{\lambda},{\mu}}f(z)}$ ${\alpha}{\geq}0$) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by Hadamard product (or convolution) are given. As a special case of this result, Fekete-Szeg$\ddot{o}$ inequality for a class of functions defined through fractional derivatives is obtained. The motivation of this paper is to generalize the Fekete-Szeg$\ddot{o}$ inequalities obtained by Srivastava et al., Orhan et al. and Shanmugam et al., by making use of the generalized differential operator $D^m_{{\lambda},{\mu}}$.

• 한국염색가공학회지
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• 제25권3호
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• pp.223-231
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• 2013

This research has a main focus on providing fundamental data for on-the-spot industrial fields by comparing and contrasting physical properties of fluffy spun-like material. The fluffy spun-like yarn is developed as fluffy yarn similar to natural spun-like yarn by treating polyester(FDY and + type shaped DTY) with ATY machine. In this experiment, using ATY machine for raw material texturing, we produced two fluffy yarns: (i) + type shaped(50d/36f, DTY) as core yarn and 100d/192f FDY as effect yarn[ATY(D)], (ii) FDY(75/36) as core yarn and 100d/192f FDY [ATY(F)] as effect yarn. After producing thous yarns, we twisted them with 500T/M, 700T/M, 1000T/M, respectively. produced yarns through this process were used as the samples for this experiment. Even though the shrinkage of fluffy yarn ATY(F) and ATY(D) becomes high as treated temperature rises and treated time lengthens, it is more affected by treated temperature then by treated time. In this experiment, produced fluffy yarn[ATY(D)] shows a little high values for temperature, but almost same values for higher temperatures. When we compare ATY(F) with ATY(D) fluffy yarn shows more natural fluffy yarn surface structure like natural cotton. The shrinkage of 700T/M twisted ATY(D) fluffy yarn show about 11% under treated temperature $180^{\circ}C$ and treated time 30min, and about 7% under $120^{\circ}C$ and 30min, respectively. But the shrinkage of 1000T/M fluffy yarn shoes about 9% and 6% under same conditions. Regarding treated time, tenacity and initial modulus of ATY(D) fluffy yarn rise high until 30min, but do not show much increase above 30min. Regarding treated temperature, tenacity and initial modulus of it rise high aboyer $140^{\circ}C$.

• 대한수학회보
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• 제50권6호
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• pp.1905-1914
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• 2013

Let D be an integral domain with quotient field K, M a torsion-free D-module, X an indeterminate, and $N_v=\{f{\in}D[X]|c(f)_v=D\}$. Let $q(M)=M{\otimes}_D\;K$ and $M_{w_D}$={$x{\in}q(M)|xJ{\subseteq}M$ for a nonzero finitely generated ideal J of D with $J_v$ = D}. In this paper, we show that $M_{w_D}=M[X]_{N_v}{\cap}q(M)$ and $(M[X])_{w_{D[X]}}{\cap}q(M)[X]=M_{w_D}[X]=M[X]_{N_v}{\cap}q(M)[X]$. Using these results, we prove that M is a strong Mori D-module if and only if M[X] is a strong Mori D[X]-module if and only if $M[X]_{N_v}$ is a Noetherian $D[X]_{N_v}$-module. This is a generalization of the fact that D is a strong Mori domain if and only if D[X] is a strong Mori domain if and only if $D[X]_{N_v}$ is a Noetherian domain.

• Kyungpook Mathematical Journal
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• 제51권4호
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• pp.395-410
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• 2011

In this paper we give a non-existence theorem for Hopf hypersurfaces M in complex two-plane Grassmannians $G_2(\mathbb{C}^{m+2})$ whose normal Jacobi operator $\bar{R}_N$ is parallel on the distribution F defined by $F=[{\xi}]{\cup}D^{\bot}$, where [${\xi}$] = Span{${\xi}$}, $D^{\bot}$ = Span {${\xi}_1$, ${\xi}_2$, ${\xi}_3$} and $T_xM=D{\oplus}D^{\bot}$, $x{\in}M$.

• 대한수학회지
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• 제23권2호
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• pp.109-116
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• 1986

• 한국수산과학회지
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• 제8권1호
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• pp.7-10
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• 1975

제주도 고등어 자망어업의 주어기인 1974년 5월 28일부터 8월 31일까지 서귀포와 비양도근해어장에서 고등어 자망어구의 이망율에 관한 시험조업결과는 다음과 같다. 1. $X^2$ t 검정에 의하면 고등어 nylon-monofilament 자망 B형이 nylon-multifilament 자망 A형보다 이망성능이 우위하고 나망율비는 $m_A:m_B=1:1.8$이다. 2. 망목 75mm인 nylon-monofilament 자망 C형, D형이 망목 85mm인 nylon-monofilament 자망 E형 F형 보다 이망성능이 우위하고 이망율비는 $m_E{\cdot}F:m_C{\cdot}D=1:2.8$이다. 3. 망계 굵기가 120tex와 75tex이고 망목이 75m 및 85mm인 C, D, E, F, 형에서는 상호간의 우위는 모두 확인할 수 없었다.

• 대한수학회지
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• 제45권6호
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• pp.1613-1622
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• 2008

Let G be a graph with vertex set V(G) and edge set E(G), and let g, f be two nonnegative integer-valued functions defined on V(G) such that $g(x)\;{\leq}\;f(x)$ for every vertex x of V(G). We use $d_G(x)$ to denote the degree of a vertex x of G. A (g, f)-factor of G is a spanning subgraph F of G such that $g(x)\;{\leq}\;d_F(x)\;{\leq}\;f(x)$ for every vertex x of V(F). In particular, G is called a (g, f)-graph if G itself is a (g, f)-factor. A (g, f)-factorization of G is a partition of E(G) into edge-disjoint (g, f)-factors. Let F = {$F_1$, $F_2$, ..., $F_m$} be a factorization of G and H be a subgraph of G with mr edges. If $F_i$, $1\;{\leq}\;i\;{\leq}\;m$, has exactly r edges in common with H, we say that F is r-orthogonal to H. If for any partition {$A_1$, $A_2$, ..., $A_m$} of E(H) with $|A_i|=r$ there is a (g, f)-factorization F = {$F_1$, $F_2$, ..., $F_m$} of G such that $A_i\;{\subseteq}E(F_i)$, $1\;{\leq}\;i\;{\leq}\;m$, then we say that G has (g, f)-factorizations randomly r-orthogonal to H. In this paper it is proved that every (0, mf - (m - 1)r)-graph has (0, f)-factorizations randomly r-orthogonal to any given subgraph with mr edges if $f(x)\;{\geq}\;3r\;-\;1$ for any $x\;{\in}\;V(G)$.

• 대한수학회논문집
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• 제29권2호
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• pp.285-293
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• 2014

Let M be a closed, symplectic connected Riemannian manifold and f a symplectomorphism on M. We prove that if f is $C^1$-stably weak shadowable on M, then the whole manifold M admits a partially hyperbolic splitting.

• 한국전자파학회논문지
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• 제17권7호
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• pp.659-664
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• 2006

본 논문에서는 $0.12{\mu}m$ 게이트 전극을 가진 metamorphic InAIAs/InGaAs high electron-mobility transistors (mHEMT)를 이용하여 제작된 60 GHz push-push 발진기의 특성을 고찰하였다. 전극 길이가 $0.12{\mu}m$ 인 mHEMT는 700 mA/mm의 최대 전류, 600 mS/mm의 최대 전달정수, 170 GHz $f_T$, 그리고 300 GHz 이상의 $f_{MAX}$ 등 우수한 특성을 나타내었다. 두 개의 $6{\times}50{\mu}m$ 크기를 가지는 mHEMT 를 이용하여 제작된 발진기는 59.5 GHz 에서 6.3 dBm의 출력 전력과 -35 dBc 이상의 기저 주파수 억압도를 나타내었다. 페이즈 노이즈 (phase noise)는 발진 주파수의 1 MHz 오프셋에서 -81.2 dBc/Hz 의 특성을 나타내었다. 본 연구 결과는 60 GHz 대역에서 mHEMT를 이용하여 제작된 push-push 발진기로는 최대 출력을 나타낸 결과이며, 이 연구 결과는 상용화와 저가격에 InP HEMT 보다 유리한 mHEMT를 이용하여 고출력 발진기 특성을 얻을 수 있음을 보여준다.