• Korean Journal of Mathematics
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• 제27권2호
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• pp.437-444
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• 2019

For c > -1, let ${\nu}_c$ denote a weighted radial measure on ${\mathbb{C}}$ normalized so that ${\nu}_c(D)=1$. For $c_1,c_2>-1$ and $f{\in}L^1(D^2,\;{\nu}_{c_1}{\times}{\nu}_{c_2})$, we define the weighted Berezin transform $B_{c_1,c_2}f$ on $D^2$ by $$(B_{c_1,c_2})f(z,w)={\displaystyle{\smashmargin2{\int\nolimits_D}{\int\nolimits_D}}}f({\varphi}_z(x),\;{\varphi}_w(y))\;d{\nu}_{c_1}(x)d{\upsilon}_{c_2}(y)$$. This paper is about the space $M^p_{c_1,c_2}$ of function $f{\in}L^p(D^2,\;{\nu}_{c_1}{\times}{\nu}_{c_2})$ ) satisfying $B_{c_1,c_2}f=f$ for $1{\leq}p<{\infty}$. We find the identity operator on $M^p_{c_1,c_2}$ by using invariant Laplacians and we characterize some special type of functions in $M^p_{c_1,c_2}$.

• 대한가정학회지
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• 제28권4호
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• pp.1.1-13
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• 1990

Authors have performed the sensory evaluation tests according to each given items after selecting various lines in order to assess the visual effects by the lines in cloth designing. The evaluations were done by means of ranking tests followed by paired comparison tests. The results obtained were as follows : 1. In the item in than "Shoulder width looks wide", the design C3 showed the best visual effect, and then B1, F8, and A5 comes in order. In "Shoulder width looks narrow", they were A2, F5, F7, and B2 in order. 2. In "Bust looks big", the effect was best in F9, and then B1, F5, C3, and A5 and order. "Bust looks small" item showed A3, C1, and F1 in order. 3. In "Waist looks thick", they were B2, D1, and F7 while in "Waist looks thin", they were B3, F8, and D6 in order. 4. In the item in that "Hip looks big", the best effect was in F9, and then E3, C2, and B4 in order. In "Hip looks small", the best one was C1, and then comes. E1, F6, and F8. 5. In "Upper body looks thick", they were D2, D4, F8, C3 and A5 in order whild in "Upper body looks thin", they were A1, F5, and D7 in order. 6. In the item "Lower body lookds thick", they were F9, C2, E3, B3, and D3 in order. In "Lower body looks thin", the best one was C1, and then D1, E2, F6, and F8 comes in order. 7. In "whole body looks thick", they were F9, F3, D3, and A5, and in "Whole body looks thin", they were F5, A1, C1, and D6 in order. 8. In "Height looks tall", the effects were in order of A4, D6, E1, and F7 while in "Height looks short", they were E3, F9, B4, D2, and D1. 8. In "Height looks tall", the effects were in order of A4, D6, E1, and F7 while in "Height looks short", they were E3, F9, B4, D2, and D1. F9, B4, D2, and D1.

• Korean Journal of Mathematics
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• 제19권1호
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• pp.17-24
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• 2011

Let X, Y be vector spaces. It is shown that if an even mapping $f:X{\rightarrow}Y$ satisfies f(0) = 0, and $$2(_{2d-2}C_{d-1}-_{2d-2}C_d)f\({\sum_{j=1}^{2d}}x_j\)+{\sum_{{\iota}(j)=0,1,{{\small\sum}_{j=1}^{2d}}{\iota}(j)=d}}\;f\({\sum_{j=1}^{2d}}(-1)^{{\iota}(j)}x_j\)=2(_{2d-1}C_d+_{2d-2}C_{d-1}-_{2d-2}C_d){\sum_{j=1}^{2d}}f(x_j)$$ for all $x_1$, ${\cdots}$, $x_{2d}{\in}X$, then the even mapping $f:X{\rightarrow}Y$ is quadratic. Furthermore, we prove the Hyers-Ulam stability of the above functional equation in Banach spaces.

• Journal of Microbiology and Biotechnology
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• 제27권11호
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• pp.2060-2069
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• 2017

Newcastle disease is a serious infectious disease in the poultry industry. The commercial vaccines can only offer limited protection and some of them are expensive and need adjuvants. At present, DNA vaccines are widely used. However, the immune responses induced by DNA vaccines are too slow and low. Here, we constructed the transfer vectors with a different number of C3d as molecular adjuvants (n = 1, 2, 4, or 6), and the vectors were cloned into the optimal eukaryotic expression plasmid (pVAXI-optiF) that expressed the F gene of Newcastle disease virus (NDV), and named pVAXI-F(o)-C3d1, pVAXI -F(o)-C3d2, pVAXI-F(o)-C3d4, and pVAXI-F(o)-C3d6, respectively. Cell transfection test indicated that pVAXI-F(o)-C3d6 showed the highest expression. In vivo immunization showed that the chickens immunized with pVAXI-F(o)-C3d6 intramuscularly induced better immune responses than the chickens immunized with the other plasmids. The protective efficacy of pVAXI-F(o)-C3d6 was 80% after challenge with the highly virulent NDV strain F48E9. The results in this study showed that C3d6 could be used as a molecular adjuvant to quickly induce an effective immune response to control NDV.

• Korean Journal of Mathematics
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• 제20권4호
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• pp.371-379
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• 2012

Let D be an integral domain, $\bar{D}$ be the integral closure of D, * be a star operation of finite character on D, $*_w$ be the so-called $*_w$-operation on D induced by *, X be an indeterminate over D, $N_*=\{f{\in}D[X]{\mid}c(f)^*=D\}$, and $Kr(D,*)=\{0\}{\cup}\{\frac{f}{g}{\mid}0{\neq}f,\;g{\in}D[X]$ and there is an $0{\neq}h{\in}D[X]$ such that $(c(f)c(h))^*{\subseteq}(c(g)c(h))^*$}. In this paper, we show that D is a *-quasi-Pr$\ddot{u}$fer domain if and only if $\bar{D}[X]_{N_*}=Kr(D,*_w)$. As a corollary, we recover Fontana-Jara-Santos's result that D is a Pr$\ddot{u}$fer *-multiplication domain if and only if $D[X]_{N_*} = Kr(D,*_w)$.

• Journal of applied mathematics & informatics
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• 제28권5_6호
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• pp.1315-1322
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• 2010

Let D be a plane domain whose boundary consists of n components and $C_1$, $C_2$ two boundary components of D. We consider the family $F_1$ of conformal mappings f satisfying f(D) $\subset$ {1 < |w| < ${\mu}(f)$}, $f(C_1)=\{|w|=1\}$, $f(C_2)=\{|w|={\mu}(f)\}$. There are conformal mappings $g_0$, $g_1({\in}F_1)$ onto a radial and a circular slit annulus respectively. We obtain the following theorem, $$\{{\mu}(f)|f\;{\in}\;F_1\}=\{\mu|\mu(g_1)\;{\leq}\;{\mu}\;{\leq}\;{\mu}(g_0)\}$$. And we consider the family $F_n$ of conformal mappings $\tilde{f}$ from D onto a covering surfaces of the Riemann sphere satisfying some conditions. We obtain the following theorems, {$\mu|1$ < ${\mu}\;{\leq}\;{\mu}(g_1)$} ${\subset}\;\{{\mu}(\tilde{f})|\tilde{f}\;{\in}\;F_2\}\;{\subset}\;\{{\mu}(\tilde{f})|\tilde{f}\;{\in}\;F_n\}$ and ${\mu}(\tilde{f})\;{\leq}\;{\mu}(g_0)^n$.

• 대한화학회지
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• 제43권1호
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• pp.52-57
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• 1999

In($C_6F_5)_3{\cdot}D(D=CH_3CN$, O($C_2H_5)_2$)와 ($CH_3)_3SiC_6F_5$/CsF, $C_6F_5$MgBr 또는 Cd($C_6F_5)_2$을 반응시켜 [In($C_6F_5)_4$]- 음이온 화합물을 합성하였으나, 이들 indium(III) 음이온 화합물들은 온도에 민감하고 습기에 대해 불안정하다. 안정한 indium(III) 음이온 착물은 PNPCl(PNP=bis(triphenylphosphino)ammonium)과의 양이온 치환반응시켜 얻었으며, 관 크로마토 그래피를 이용하여 분리 정제하였다. 합성된 화합물의 특성은 핵자기 공명 분석법, 적외선 분광분석법, 분자량 측정, DTA/TG 그리고 원소분석법을 이용하여 조사하였다.

• 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.

• 대한수학회보
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• 제34권4호
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• pp.595-601
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• 1997

Let $C_d$ be the rational curve of degree d in $P_k ^3$ given parametrically by $x_0 = u^d, X_1 = u^{d - 1}t, X_2 = ut^{d - 1}, X_3 = t^d (d \geq 4)$. Then the defining ideal of $C_d$ can be minimally generated by d polynomials $F_1, F_2, \ldots, F_d$ such that $degF_1 = 2, degF_2 = \cdots = degF_d = d - 1$ and $C_d$ is a set-theoretically complete intersection on $F_2 = X_1^{d-1} - X_2X_0^{d-2}$ for every field k of characteristic p > 0. For the proofs we will use the notion of Grobner basis.

• 대한수학회지
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• 제34권2호
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• pp.279-284
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• 1997

Let L/F be a finite separable extension of Henselian valued fields with same residue fields $\overline{L} = \overline{F}$. Let D be an inertially split division algebra over L, and let $^cD$ be the underlying division algebra of the corestriction $cor_{L/F} (D)$ of D. We show that the index $ind(^cD) of ^cD$ divides $[Z(\overline{D}) : Z(\overline {^cD})] \cdot ind(D), where Z(\overline{D})$ is the center of the residue division ring $\overline{D}$.