• 생명과학회지
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• 제15권6호
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• pp.972-978
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• 2005

제주말의 혈통보존을 위한 기초자료를 마련할 목적으로 국내에서 사육중인 제주말 102두를 대상으로 적혈구항원형 및 혈액단백질형의 유전적 다형성을 조사한 결과는 다음과 같다. 적혈구항원형의 표현형 빈도는 $A^{af}$28두($27.45\%),\;C^{a}$ 101두 ($99.02\%),\;K^{-}$ 99두 ($97.06\%),\;U^{a}$ 64두 ($62.75\%),\;P^{b}$ 37두 ($36.27\%),\;Q^{c}$ 48두 ($47.06\%$)에서 높은 빈도를 나타냈으며, D시스템의 31개의 대립유전자 중 $D^{cgm/dghm}$ 14두($13.73\%),\;D^{adn/cgm}$ 10두($9.80\%),\;D^{ad/cgm}$ 9두($8.82\%),\;D^{dghm/dghm}$ 8두($7.84\%),\;D^{cgm/cgm}$ 8두($7.84\%$)에서 높은 빈도의 유전자형이 관찰되었다. 또한 null allele로 추정되는 $D^{ad/c(e)fgm}\;D^{adn/c(e)fgm}\;D^{c(d)fgm/dghm}$대립유전자가 4두에서 관찰되었다. 혈액단백질형은 $AL^{B}$ 49두($48.04\%),\;GC^{F}$ 101두($99.02\%),\;AlB^{K}$ 99두($97.06\%),\;ES^{FI}$ 37두($36.27\%),\;TF^{F2}$ 26두($25.49\%),\;HB^{B1}$ 46두($45.10\%$), and $PGD^{F}$ 88두($86.27\%$)로 높은 빈도를 보였으며, $HB^{A2B1}$ 4두($3.92\%),\;HB^{AB1}$ 2두($1.96\%),\;HB^{AB2}$ 1두($0.98\%),\;PGD^{D}$ 1두($0.98\%$가 특이하게 관찰되었다. 유전자 빈도는 $A^{af}$ (0.3726), $A^{C}$ (0.2647), $C^{-}$ (0.5050), $K^{-}$ (0.9853), $U^{-}$ (0.6863), $P^{b}$ (0.4657), $Q^{c}$ (0.5294), $D^{cgm}$ (0.3039), $HB^{B1}$(0.6863), $PGD^{F}$ (0.9265), $AL^{B}$ (0.6912), $ALB^{K}$ (0.9852), $GC^{F}$ (0.9950), $ES^{I}$ (0.5000) and $TF^{F2}$ (0.4950) 대립유전자가 가장 높은 빈도를 나타내었고 $D^{cgm(f)}$ (0.0196), $HB^{A}$ (0.0147), $HB^{A2}$ (0.0196), $ES^{G}$ (0.0441), $ES^{H}$ (0.0098), $TF^{E}$TF'(0.0246), $TF^{H2}$ (0.0049) and $PGD^{D}$ (0.0098)의 대립유전자가 제주말 에서 특이하게 관찰되었다. 결론적으로 혈액형에 의한 제주말의 유전적 다형은 $A^{af},\;A^{c},\;C^{-},\;K^{-},\;U^{-},\;P^{b},\;Q^{c},\;D^{cgm},\;D^{dghm},\;D^{adn},\;HB^{B1}$, $PGD^{F},\;AL^{B},\;A1B^{K},\;GC^{F},\;ES^{I},\;TF^{F2},\;AL^{B}$, 대립유전자의 빈도가 비교적 높은 것으로 관찰되었고 $A^{ab},\;A^{abf},\;D^{cgm(f)},\;(D^{cfg(k)m}$ 혹은$D^{c(e)fgm}),\;HB^{A},\;HB^{A2},\;ES^{H},\;TF^{E},\;TF^{H2},\;PGD^{D},\;AL^{B}$의 대립유전자가 제주말에서 특이하게 관찰되었다.

• 공업화학
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• 제9권3호
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• pp.372-376
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• 1998

Pd를 지지체에 담지시킨 촉매($Pd/AlF_3$, $Pd/{\gamma}-Al_2O_3$)와 고체산촉매(${\gamma}-Al_2O_3$, ${\alpha}-Al_2O_3$, $AlF_3$)를 제조한 후 수소분위기에서 HCFC-142b(1-chloro-1,1-difluoroethane)의 탈염소반응을 수행하여 반응온도, 수소/HCFC-142b의 공급비(r) 및 Pd담지량 변화가 HFC-143a(1,1,1-trifluoroethane)와 HFC-152a(1,1-difluoroethane)로의 선택도에 미치는 영향을 조사하였다. 실험결과 $Pd/AlF_3$와 $Pd/{\gamma}-Al_2O_3$촉매에 의한 전환율은 각각 60%와 92%였고, 생성가스 중에서 HFC-143a로의 선택도는 각각 58%와 64%였다. 이때 최적반응조건은 반응온도, $200^{\circ}C$, 공간시간 1.05s, 수소/HCFC-142b의 공급비가 3이었다. 한편, 동일 조건하에서 ${\gamma}-Al_2O_3$와 ${\alpha}-Al_2O_3$, 그리고 $AlF_3$촉매에 의한 HCFC-142b의 생성가스로의 전환율은 각각 12%, 8%와 7%였고, 생성가스중 HFC-152a로의 선택도는 각각 94%, 92%와 90%였다.

• 대한수학회논문집
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• 제29권1호
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• pp.65-74
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• 2014

The well known quadratic transformation formula due to Gauss: $$(1-x)^{-2a}{_2F_1}\[{{a,b;}\\\hfill{21}{2b;}}\;-\frac{4x}{(1-x)^2}\]={_2F_1}\[{{a,a-b+\frac{1}{2};}\\\hfill{65}{b+\frac{1}{2};}}\;x^2\]$$ plays an important role in the theory of (generalized) hypergeometric series. In 2001, Rathie and Kim have obtained two results closely related to the above quadratic transformation for $_2F_1$. Our main objective of this paper is to deduce some interesting known or new results for the series $_2F_1(x)$ by using the above Gauss's quadratic transformation and its contiguous relations and then apply our results to provide a list of a large number of integrals involving confluent hypergeometric functions, some of which are (presumably) new. The results established here are (potentially) useful in mathematics, physics, statistics, engineering, and so on.

• Korean Journal of Mathematics
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• 제26권1호
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• pp.75-85
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• 2018

In this paper, we study nonconstant warping functions on an Einstein warped product manifold $M=B{\times}_{f^2}F$ with a warped product metric $g=g_B+f(t)^2g_F$. And we consider a 2-dimensional base manifold B with a metric $g_B=dt^2+(f^{\prime}(t))^2du^2$. As a result, we prove the following: if M is an Einstein warped product manifold with a 2-dimensional base, then there exist generally nonconstant warping functions f(t).

• Journal of applied mathematics & informatics
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• 제27권5_6호
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• pp.1157-1163
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• 2009

Let G be a graph with vertex set V(G) and let f be a nonnegative integer-valued function defined on V(G). A spanning subgraph F of G is called a fractional f-factor if $d^h_G$(x)=f(x) for all x $\in$ for all x $\in$ V (G), where $d^h_G$ (x) = ${\Sigma}_{e{\in}E_x}$ h(e) is the fractional degree of x $\in$ V(F) with $E_x$ = {e : e = xy $\in$ E|G|}. In this paper it is proved that if ${\delta}(G){\geq}{\frac{b^2(k-1)}{a}},\;n>\frac{(a+b)(k(a+b)-2)}{a}$ and $|N_G(x_1){\cup}N_G(x_2){\cup}{\cdots}{\cup}N_G(x_k)|{\geq}\frac{bn}{a+b}$ for any independent subset ${x_1,x_2,...,x_k}$ of V(G), then G has a fractional f-factor. Where k $\geq$ 2 be a positive integer not larger than the independence number of G, a and b are integers such that 1 $\leq$ a $\leq$ f(x) $\leq$ b for every x $\in$ V(G). Furthermore, we show that the result is best possible in some sense.

• 한국의류산업학회지
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• 제13권5호
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• pp.661-671
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• 2011

This study was designed to produce rounded belt pattern and tight-skirt pattern drafting method using 3D body scan data. Subjects were thirty women in their early twenties. In order to figure out the optimum cutting points, namely, where darts are made, using CAD program, curve ratio inflection points on the horizontal curve of waist, abdomen, and hip to find 1 point in the front, two points in the back part. The average length from center front point to maximum curve ratio was 7.7 cm(46.3%) on the waist curve; 7.9 cm(39.4%) on the abdomen curve. And the average length from center back point to maximum curve ratio point was 6.9 cm(39.0%) for first dart and 11.2 cm(63.3%) for second dart on the waist curve; 8.9 cm(35.8%) for first dart and 15.7 cm(63.3%) for second dart on the hip curve respectively. The cutting lines from were made up by connecting curve inflection points. After divided using cutting lines, each patch was flattened onto the plane and all the technical design factors related with patternmaking were measured, such as dart amount, lifting amount of side waist point, etc. Based on the results of correlation analysis among these factors, regression analysis was done to produce equations to estimate the variables necessary to draw up pattern draft method; F1=F8+1.1, $F4=2.5{\times}F2+0.9$, $F5=0.9{\times}F4+1.0$, $F6=0.3{\times}F4+0.4$, $B1=0.9{\times}B8+2.3$, $B4=2.1{\times}B2+1.3$, $B5=0.9{\times}B4+3.5$, and $B6=0.3{\times}B4+0.4$.

• 충청수학회지
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• 제31권1호
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• pp.29-42
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• 2018

In this paper, we investigate the stability of two functional equations f(ax+by + cz) - abf(x + y) - bcf(y + z) - acf(x + z) + bcf(y) - a(a - b - c)f(x) - b(b - a)f(-y) - c(c - a - b)f(z) = 0, f(ax+by + cz) + abf(x - y) + bcf(y - z) + acf(x - z) - a(a + b + c)f(x) - b(a + b + c)f(y) - c(a + b + c)f(z) = 0 by applying the direct method in the sense of Hyers and Ulam.

• Kyungpook Mathematical Journal
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• 제13권2호
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• pp.235-240
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• 1973

A k-dimensional vector bundle is a bundle ${\xi}=(E,P,B,F^k)$ with fibre $F^k$ satisfying the local triviality, where F is the field of real numbers R or complex numbers C ([1], [2] and [3]). Let $Vect_k(X)$ be the set consisting of all isomorphism classes of k-dimensional vector bundles over the topological space X. Then $Vect_F(X)=\{Vect_k(X)\}_{k=0,1,{\cdots}}$ is a semigroup with Whitney sum (${\S}1$). For a pair (X, A) of topological spaces, a difference isomorphism over (X, A) is a vector bundle morphism ([2], [3]) ${\alpha}:{\xi}_0{\rightarrow}{\xi}_1$ such that the restriction ${\alpha}:{\xi}_0{\mid}A{\longrightarrow}{\xi}_1{\mid}A$ is an isomorphism. Let $S_k(X,A)$ be the set of all difference isomorphism classes over (X, A) of k-dimensional vector bundles over X with fibre $F^k$. Then $S_F(X,A)=\{S_k(X,A)\}_{k=0,1,{\cdots}}$, is a semigroup with Whitney Sum (${\S}2$). In this paper, we shall prove a relation between $Vect_F(X)$ and $S_F(X,A)$ under some conditions (Theorem 2, which is the main theorem of this paper). We shall use the following theorem in the paper. THEOREM 1. Let ${\xi}=(E,P,B)$ be a locally trivial bundle with fibre F, where (B, A) is a relative CW-complex. Then all cross sections S of ${\xi}{\mid}A$ prolong to a cross section $S^*$ of ${\xi}$ under either of the following hypothesis: (H1) The space F is (m-1)-connected for each $m{\leq}dim$ B. (H2) There is a relative CW-complex (Y, X) such that $B=Y{\times}I$ and $A=(X{\times}I)$ ${\cap}(Y{\times}O)$, where I=[0, 1]. (For proof see p.21 [2]).

• 폴리머
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• 제31권6호
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• pp.497-504
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• 2007

길이가 다른 폴리메틸렌 다리로 연결된 이핵 CGC(Constrained geometry catalyst) $[Zr({\eta}^5\;:\;{\eta}^1-C_9H_5-SiMe_2NCMe_3)Me_2]_2\;[(CH_2)_n]$ [n=6(4), 9(5), 12(6)]를 2 당량의 MeLi과 대응되는 염소화합물을 반응시켜 합성하고 이들의 구조를 확인하였다. 합성된 이핵메탈로센의 중합 특성을 에틸렌과 1-hexene의 공중합을 통해 조사하였다. 이때에 사용된 조촉매로는 일반 조촉매 $Ph_3C^+[B(C_6F_5)_4]^-\;(B_1)$과 $(B(C_6F_5)_5)_3\;(B_3)$ 그리고 이핵조촉매 $Ph_3C^+[(C_6F_5)_3B-C_6F_4-B(C_6F_5)_3]^{2-}\;(B_2)$을 이용하였다. 중합 결과 촉매의 활성은 이핵메탈로센에서는 다리길이가 길수록 크게 나타났으며, 조촉매에서는 이핵조촉매가 가장 낮은 활성을 보였다. 조촉매의 특성은 공중합체에 존재하는 가지의 함량에서 잘 나타났다. 이핵조촉매($B_2$)를 사용하면 가장 가지수가 작은 고분자가 생성되었고, 조촉매 $B_3$에서 가장 많은 가지를 가진 공중합체가 생성되었다.

• Journal of applied mathematics & informatics
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• 제25권1_2호
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• pp.17-33
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• 2007

Suppose F is an arbitrary field. Let ${\mid}F{\mid}$ be the number of the elements of F. Let $T_{n}(F)$ be the space of all $n{\times}n$ upper-triangular matrices over F. A map ${\Psi}\;:\;T_{n}(F)\;{\rightarrow}\;T_{n}(F)$ is said to preserve idempotence if $A-{\lambda}B$ is idempotent if and only if ${\Psi}(A)-{\lambda}{\Psi}(B)$ is idempotent for any $A,\;B\;{\in}\;T_{n}(F)$ and ${\lambda}\;{\in}\;F$. It is shown that: when the characteristic of F is not 2, ${\mid}F{\mid}\;>\;3$ and $n\;{\geq}\;3,\;{\Psi}\;:\;T_{n}(F)\;{\rightarrow}\;T_{n}(F)$ is a map preserving idempotence if and only if there exists an invertible matrix $P\;{\in}\;T_{n}(F)$ such that either ${\Phi}(A)\;=\;PAP^{-1}$ for every $A\;{\in}\;T_{n}(F)\;or\;{\Psi}(A)=PJA^{t}JP^{-1}$ for every $P\;{\in}\;T_{n}(F)$, where $J\;=\;{\sum}^{n}_{i-1}\;E_{i,n+1-i}\;and\;E_{ij}$ is the matrix with 1 in the (i,j)th entry and 0 elsewhere.