• 한국식품과학회지
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• 제16권2호
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• pp.179-181
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• 1984

잣기름을 TLC에 의하여 트리 - 글리세리드를 분리하고, HPLC에 의하여 PN별(別)로 트리 - 글러세리드를 분획(分劃)하여 분취(分取)하였다. 분취(分取)한 각획분(各劃分)을 GLC 에 의하여 아실탄소수별(炭素數別)로 재분획(再分劃)하는 한편, 각획분(各劃分)의 지방산조성(脂肪酸組成)을 분석(分析)하였다. 주요(主要) 트리 - 글리세리드를 들면 다음과 같다. $(C_{18:2},\;C_{18:2},\;C_{18:3},\;34.9%)$, $(C_{18:1},\;C_{18:2},\;C_{18:3}\;;\;10.8%)$, $(C_{18:1},\;C_{18:1},\;C_{18:2}\;;\;9.9%)$, $(C_{18:1},\;C_{18:1},\;C_{18:1}\;;\;6.5%)$, $(C_{18:1},\;C_{18:1},\;C_{18:2}\;;\;6.3%)$, $(C_{18:1},\;C_{18:1},\;C_{18:3}\;;\;4.8%)$, $(C_{16:0},\;C_{18:2},\;C_{18:3}\;;\;3.3%)$, $(C_{18:0},\;C_{18:1},\;C_{18:2}\;;\;2.7%)$, $(C_{16:0},\;C_{18:1},\;C_{18:2}\;;\;2.6%)$, $(C_{16:0},\;C_{18:2},\;C_{18:2}\;;\;2.2%)$, $(C_{16:0},\;C_{18:1},\;C_{18:3}\;;\;1.9%)$, $(C_{16:0},\;C_{18:2},\;C_{18:2}\;;\;1.7%)$, $(C_{16:0},\;C_{18:1},\;C_{18:1}\;;\;1.7%)$, $(C_{18:1},\;C_{18:3},\;C_{18:3}\;;\;1.5%)$.

• 한국식품과학회지
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• 제14권3호
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• pp.226-231
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• 1982

주요 식물유(植物油)의 트리-글리세리드 조성(組成)을 구명(究明)하기 위하여 옥수수유(油)를 시료로 하여 TLC로서 트리-글리세리드를 분리하고 HPLC에 의하여 PN별(別)로 분획(分劃)하였으며, 각 획분(劃分)을 분취(分取)하여 GLC로 acyl탄소수별(炭素水別)로 분획(分劃) 하였다. 또 PN별(別) 획분(劃分)을 GLC로 지방산 조성을 분석하였다. 위의 3가지 방법으로부터 트리-글리세리드 조성(組成)을 산정한 종류는 36종류이었다. 시료유(試料油)의 주요 트리-글리세리드를 들면 다음과 같다. 21.5%$(C_{18:2},\;C_{18:2},\;C_{18:1})$, 17.4%$(C_{18:1},\;C_{18:2},\;C_{18:1})$, 15.4%$(C_{18:1},\;C_{18:2},\;C_{16:0})$, 11.1%$(C_{16:0},\;C_{18:2},\;C_{18:2})$, 9.0%$(C_{18:1},\;C_{18:1},\;C_{18:1})$, 8.0%$(C_{18:2},\;C_{18:2},\;C_{18:2})$, 5.7%$(C_{18:1},\;C_{18:1},\;C_{16:0})$, 2.2%$(C_{16:0},\;C_{16:0},\;C_{18:2})$, 1.6%$(C_{18:2},\;C_{18:2},\;C_{18:2})$, 1.1%$(C_{18:2},\;C_{18:0},\;C_{16:0})$, 1.1%$(C_{16:0},\;C_{16:0},\;C_{18:1})$이었다.

• 한국식품과학회지
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• 제14권3호
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• pp.219-225
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• 1982

식물유(植物油)의 트리-글리세리드의 조성(組成)을 밝히기 위하여 목화씨기름을 시료(試料)로 하여 TLC로써 트리-글리세리드를 분리하고 HPLC에 의하여 PN별(別)로 분획(分劃)하였으며, 각 획분(劃分)을 분취(分取)하여 GLC로 acyl탄소수별(別)로 분획(分劃) 하였다. 또한 PN별(別) 분획(分劃)을 GLC로 지방산 조성을 분석하였다. 이들 결과(結果)로부터 트리-글리세리드 조성을 산정하였는데, 목화씨기름에 있어서는 37종류이었다. 시료유(試料油)의 주요(主要) 트리-글리세리드를 들면 목화씨기름에 있어서는 25.8%$(C_{16:0},\;C_{18:2},\;C_{18:2})$, 15.5%$(C_{18:2},\;C_{18:2},\;C_{18:2})$, 13.8%$(C_{16:0},\;C_{18:2},\;C_{16:0})$, 8.3%$(C_{18:2},\;C_{18:1},\;C_{18:2}$), 6.2%($C_{18:2},\;C_{18:1},\;C_{18:1})$, 4.1%$(C_{18:1},\;C_{18:1},\;C_{14:0})$, 3.4%$(C_{16:0},\;C_{18:1},\;C_{16:0})$), 2.3%$(C_{18:1},\;C_{18:2},\;C_{16:0}$), 2.2%($C_{18:1},\;C_{18:1},\;C_{18:1})$, 1.0%$(C_{14:0},\;C_{18:2},\;C_{18:1})$이었다.

• 한국안광학회지
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• 제6권2호
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• pp.65-70
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• 2001

두 개의 토로이드 면이 서로 직각인 토릭렌즈의 두 곡률의 합($C_x+C_y$)는 $$C_x+C_y=\frac{x^2+y^2}{2r_1}+\frac{x^2}{2}(\frac{1}{r_2}-\frac{1}{r_1})$$이며, 사축인 토릭렌즈의 두 곡률의 합 ($C_a+C_b$)은 $$(C_a+C_b)=\frac{x^2cos^2{\alpha}_1}{2r_1}+\frac{x^2cos^2{\alpha}_2}{2r_2}+\frac{y^2sin^2{\alpha}_1}{2r_1}+\frac{y^2sin^2{\alpha}_2}{2r_2}$$이다. $(C_1+C_2)+(C_1+C_2)_{90^{\circ}}$는 구면의 곡률 합$S_{S_1}+S_{S_2}$과 같은 값을 얻었다. 표면 곡률(Cx, Cy) 값을 포함한 사축 토릭렌즈의 합성 굴절력의 parameter S, C, ${\theta}$ 값을 다음과 같다. $$S=(n-1)\[\frac{C_x}{x^2}+\frac{C_y}{y^2}\]-\frac{C}{2},\;C=-\frac{2(n-1)}{sin2{\theta}}\[\frac{C_x}{x^2}+\frac{C_y}{y^2}\]$$ $${\theta}=\frac{1}{2}tan^{-1}\[-\frac{{C_xy^2sin2{\theta}_1}+{C_yx^2sin2{\theta}_2}}{{C_xy^2cos2{\theta}_1}+{C_yx^2cos2{\theta}_2}}\]$$.

• 한국식품과학회지
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• 제19권4호
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• pp.377-381
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• 1987

수박씨기름의 triglyceride에서 산정(算定)가능한 분자종(分子種)은 26종류였으며 주요분자종(主要分子種)은 $C_{18:1}{\cdot}C_{18:2}{\cdot}C_{18:1}$ OLO 6.4%, $C_{18:0}{\cdot}C_{18:2}{\cdot}C_{18:2}$ SLL 7.1%, $C_{18:1}{\cdot}C_{18:2}{\cdot}C_{18:2}$ OLL 16.6%, $C_{16:0}{\cdot}C_{18:2}{\cdot}C_{18:2}$ PLL 19.6% 및 $C_{18:2}{\cdot}C_{18:2}{\cdot}C_{18:2}$ LLL 27.6%의 5종류였으며, 77.3%를 차지하였다.

• 한국응용과학기술학회지
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• 제18권3호
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• pp.214-232
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• 2001

CTA ester bonds in TG molecules were not attacked by pancreatic lipase and lipases produced by microbes such as Candida cylindracea, Chromobacterium viscosum, Geotricum candidium, Pseudomonas fluorescens, Rhizophus delemar, R. arrhizus and Mucor miehei. An aliquot of total TG of all the seed oils and each TG fraction of the oils collected from HPLC runs were deuterated prior to partial hydrolysis with Grignard reagent, because CTA molecule was destroyed with treatment of Grignard reagent. Deuterated TG (dTG) was hydrolyzed partially to a mixture of deuterated diacylglycerols (dDG), which were subsequently reacted with (S)-(+)-1-(1-naphthyl)ethyl isocyanate to derivatize into dDG-NEUs. Purified dDG-NEUs were resolved into 1, 3-, 1, 2- and 2, 3-dDG-NEU on silica columns in tandem of HPLC using a solvent of 0.4% propan-1-o1 (containing 2% water)-hexane. An aliquot of each dDG-NEU fraction was hydrolyzed and (fatty acid-PFB ester). These derivatives showed a diagnostic carboxylate ion, $(M-1)^{-}$, as parent peak and a minor peak at m/z 196 $(PFB-CH_{3})^{-}$ on NICI mass spectra. In the mass spectra of the fatty acid-PFB esters of dTGs derived from the seed oils of T. kilirowii and M. charantia, peaks at m/z 285, 287, 289 and 317 were observed, which corresponded to $(M-1)^{-}$ of deuterized oleic acid ($d_{2}-C_{18:0}$), linoleic acid ($d_{4}-C_{18:0}$), punicic acid ($d_{6}-C_{18:0}$) and eicosamonoenoic acid ($d_{2}-C_{20:0}$), respectively. Fatty acid compositions of deuterized total TG of each oil measured by relative intensities of $(M-1)^-$ ion peaks were similar with those of intact TG of the oils by GLC. The composition of fatty acid-PFB esters of total dTG derived from the seed oils of T. kilirowii are as follows; $C_{16:0}$, 4.6 mole % (4.8 mole %, intact TG by GLC), $C_{18:0}$, 3.0 mole % (3.1 mole %), $d_{2}C_{18:0}$, 11.9 mole % (12.5 mole %, sum of $C_{18:1{\omega}9}$ and $C_{18:1{\omega}7}$), $d_{4}-C_{18:0}$, 39.3 mole % (38.9 mole %, sum of $C_{18:2{\omega}6}$ and its isomer), $d_{6}-C_{18:0}$, 41.1 mole % (40.5 mole %, sum of $C_{18:3\;9c,11t,13c}$, $C_{18:3\;9c,11t,13r}$ and $C_{18:3\;9t,11t,13c}$), $d_{2}-C_{20:0}$, 0.1 mole % (0.2 mole % of $C_{20:1{\omega}9}$). In total dTG derived from the seed oils of M. charantia, the fatty acid components are $C_{16:0}$, 1.5 mole % (1.8 mole %, intact TG by GLC), $C_{18:0}$, 12.0 mole % (12.3 mole %), $d_{2}-C_{18:0}$, 16.9 mole % (17.4 mole %, sum of $C_{18:1{\omega}9}$), $d_{4}-C_{18:0}$, 11.0 mole % (10.6 mole %, sum of $C_{18:2{\omega}6}$), $d_{6}-C_{18:0}$, 58.6 mole % (57.5 mole %, sum of $C_{18:3\;9c,11t,13t}$ and $C_{18:3\;9c,11t,13c}$). In the case of Aleurites fordii, $C_{16:0}$; 2.2 mole % (2.4 mole %, intact TG by GLC), $C_{18:0}$; 1.7 mole % (1.7 mole %), $d_{2}-C_{18:0}$; 5.5 mole % (5.4 mole %, sum of $C_{18:1{\omega}9}$), $d_{4}-C_{18:0}$ ; 8.3 mole % (8.5 mole %, sum of $C_{18:2{\omega}6}$), $d_{6}-C_{18:0}$; 82.0 mole % (81.2 mole %, sum of $C_{18:3\;9c,11t,13t}$ and $C_{18:3 9c,11t,13c})$. In the stereospecific analysis of fatty acid distribution in the TG species of the seed oils of T. kilirowii, $C_{18:3\;9c,11t,13r}$ and $C_{18:2{\omega}6}$ were mainly located at sn-2 and sn-3 position, while saturated acids were usually present at sn-1 position. And the major molecular species of $(C_{18:2{\omega}6})(C_{18:3\;9c,11t,13c})_{2}$ and $(C_{18:1{\omega}9})(C_{18:2{\omega}6})(C_{18:3\;9c,11t,13c})$ were predominantly composed of the stereoisomer of $sn-1-C_{18:2{\omega}6}$, $sn-2-C_{18:3\;9c,11t,13c}$, $sn-3-C_{18:3\;9c,11t,13c}$, and $sn-1-C_{18:1{\omega}9}$, $sn-2-C_{18:2{\omega}6}$, $sn-3-C_{18:3\;9c,11t,13c}$, respectively, and the minor TG species of $(C_{18:2{\omega}6})_{2}(C_{18:3\;9c,11t,13c})$ and $ (C_{16:0})(C_{18:3\;9c,11t,13c})_{2}$ mainly comprised the stereoisomer of $sn-1-C_{18:2{\omega}6}$, $sn-2-C_{18:2{\omega}6}$, $sn-3-C_{18:3\;9c,11t,13c}$ and $sn-1-C_{16:0}$, $sn-2-C_{18:3\;9c,11t,13c}$, $sn-3-C_{18:3\;9c,11t,13c}$. The TG of the seed oils of Momordica charantia showed that most of CTA, $C_{18:3\;9c,11t,13r}$, occurred at sn-3 position, and $C_{18:2{\omega}6}$ was concentrated at sn-1 and sn-2 compared to sn-3. Main TG species of $(C_{18:1{\omega}9})(C_{18:3\;9c,11t,13t})_{2}$ and $(C_{18:0})(C_{18:3\;9c,11t,13t})_{2}$ were consisted of the stereoisomer of $sn-1-C_{18:1{\omega}9}$, $sn-2-C_{18:3\;9c,11t,13t}$, $sn-3-C_{18:3\;9c,11t,13t}$ and $sn-1-C_{18:0}$, $sn-2-C_{18:3\;9c,11t,13t}$, $sn-3-C_{18:3\;9c,11t,13t}$, respectively, and minor TG species of $(C_{18:2{\omega}6})(C_{18:3\;9c,11t,13c})_{2}$ and $(C_{18:1{\omega}9})(C_{18:2{\omega}6})(C_{18:3\;9c,11t,13c})$ contained mostly $sn-1-C_{18:2{\omega6}$, $sn-2-C_{18:3\;9c,11t,13t}$, $sn-3-C_{18:3\;9c,11t,13t}$ and $sn-1-C_{18:1{\omega}9}$, $sn-2-C_{18:2{\omega}6}$, $sn-3-C_{18:3\;9c,11t,13t}$. The TG fraction of the seed oils of Aleurites fordii was mostly occupied with simple TG species of $(C_{18:3\;9c,11t,13t})_{3}$, along with minor species of $(C_{18:2{\omega}6})(C_{18:3\;9c,11t,13t})_{2}$, $(C_{18:1{\omega}9})(C_{18:3\;9c,11t,13t})_{2}$ and $(C_{16:0})(C_{18:3\;9c,11t,13t})$. The sterospecific species of $sn-1-C_{18:2{\omega}6}$, $sn-2-C_{18:3\;9c,11t,13t}$, sn-3-C_{18:3\;9c,11t,13t}$, $sn-1-C_{18:1{\omega}9}$, $sn-2-C_{18:3\;9c,11t,13t}$, $sn-3-C_{18:3\;9c,11t,13t}$ and $sn-1-C_{16;0}$, $sn-2-C_{18:3\;9c,11t,13t}$, $sn-3-C_{18:3\;9c,11t,13t}$ are the main stereoisomers for the species of $(C_{18:2{\omega}6})(C_{18:3\;9c,11t,13t})_2$, $(C_{18:1{\omega}9})(C_{18:3\;9c,11t,13t})_{2}$ and $(C_{16:0})(C_{18:3\;9c,11t,13t})$, respectively.

• 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 $M^p_{c_1,c_2}$.

• Applied Biological Chemistry
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• 제34권2호
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• pp.81-85
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• 1991

완두의 트리아실글리세롤의 조성을 구명하기 위하여 TLC로 트리아실글리세롤을 분리 한 후 HPLC를 이용하여 PN별로 분획하고 GLC로 분석 하였다. 이들 결과를 종합하여 트리아실글리세롤의 조성을 추정한 결과 건조된 완두의 트리아실글리세롤은 33종류였으며 주요 트리아실글리세롤은 $C_{16:0}C_{18:2}C_{18:2}(13.4%),\;C_{18:1}C_{18:2}C_{18:3}(9.3%),\;C_{18:1}C_{18:2}C_{18:2}(9.2%),\;C_{18:2}C_{18:2}C_{18:2}(8.1%),\;C_{18:2}C_{18:2}C_{18:3}(6.4%)$ 및 $C_{18:0}C_{18:1}C_{18:2}(5.4%)$이었다.

• Journal of Plant Biology
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• 제11권1호
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• pp.33-37
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• 1968

Present investigation was carried out in order to make clear the fertility, morphological characters, and chromosome numbers of interspecific hybrids of Chrysanthemum Zauadskii, C. indicum, and C. lavandulaefolium. 1. Hybrids were not self-pollinated. When sib-crossed the fertility was 1.3~19.3%. 2. F2 individuals were variable in their morphological Characters. 3. Chromosome numbers of three putative parents were different from those reported previously: C. zawadskii 2n=36, C. indicum 2n=20, C. lavandulaefolium 2n=16, $C. indicum{\times}C. zawadskii 2n=28, C. zawadskii{\times}C. indicum-1 2n=28, C. zawadskii{\times}C. indicum-2 2n=28, C. zawadskii{\times}C. indicum-3 2n=28, C. zawadskii{\times}C. indicum-4 2n=28, C. zawadskii{\times}C. indicum-5 2n=28, C. zawadskii {\times}C. lavandulaefolium-1 2n=26, C. zawadskii{\times}C. lavandulaefolium-2 2n=26.$

• 한국식품과학회지
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• 제15권2호
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• pp.164-169
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• 1983

들깨기름의 트리-글리세리드조성(組成)을 밝히기 위하여 TLC에 의하여 시료유(試料油)로부터 트리-글리세리드를 분리하고, 이것을 ${\mu}-Bondapak\;C_{18}$ column을 사용한 HPLC에 걸어 PN별(別)로 트리-글리세리드를 분획(分劃)하였으며, 각획분(各劃分)을 분취(分取)하여 GLC로 아실 탄소수별(炭素數別)로 분획(分劃)하였다. 또한 PN별(別) 획분(劃分)의 지방산조성(脂肪酸組成)을 GLC에 의하여 분석하였다. 이들 분석 결과로부터 들깨기름을 구성하는 트리-글리세리드조성(組成)을 산정(算定)하였는데 그 수(數)는 15종류이며, 그 중 주요(主要)한 트리-글리세리드 및 그 비율은 다음과 같다. 즉, $(C_{18:3},\;C_{18:3},\;C_{18:3},\;68.0%)$, $(C_{18:2},\;C_{18:3},\;C_{18:3},\;6.7%)$, $(C_{18:1},\;C_{18:2},\;C_{18:3},\;5.9%)$, $(C_{16:0},\;C_{18:3},\;C_{18:3},\;4.3%)$, $(C_{18:1},\;C_{18:2},\;C_{18:3},\;3.8%)$, $(C_{18:1},\;C_{18:1},\;C_{18:3},\;3.2%)$, ($C_{16:0},\;C_{18:2},\;C_{18:3},\;2.0%)$, $(C_{18:2},\;C_{18:2},\;C_{18:3},\;1.5%)$ 및 $(C_{16:0},\;C_{18:1},\;C_{18:3},\;1.0%)$ 등이다.