• Korean Journal of Food Science and Technology
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• v.16 no.2
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• pp.179-181
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• 1984

The present study was directed to define the triglyceride composition of pine nut oil. The triglycerides were separated from pine nut oil by thin layer chromatography, and fractionated by high performance liquid chromatography on the basis of partition numbers. Each of these collected fractions were fractionated again by gas liquid chromatography (GLC) according to the acyl carbon number of the triglyceride, and fatty acid composition of the triglyceride was also analyzed by GLC. The pine nut oil consisted of thirty two kinds of triglycerides, and the major triglycerides of pine nut oil were those of $(C_{18:2},\;C_{18:2},\;C_{18:3}\;;\;34.9%)$, $(C_{18:1},\;C_{18:2},\;C_{18:3}\;;\;10.8%)$, $(C_{18:1},\;C_{18:1},\;C_{18:2}\;;\;9.9%)$, $(C_{18:1},\;C_{18:1},\;C_{18:1}\;;\;6.5%)$, $(C_{18:1},\;C_{18:1},\;C_{18:2}\;;\;6.3%)$, $(C_{18:1},\;C_{18:1},\;C_{18:3}\;;\;4.8%)$, $(C_{16:0},\;C_{18:2},\;C_{18:3}\;;\;3.3%)$, $(C_{18:0},\;C_{18:1},\;C_{18:2}\;;\;2.7%)$, $(C_{16:0},\;C_{18:1},\;C_{18:2}\;;\;2.6%)$, $(C_{16:0},\;C_{18:2},\;C_{18:2}\;;\;2.2%)$, $(C_{16:0},\;C_{18:1},\;C_{18:3}\;;\;1.9%)$, $(C_{16:0},\;C_{18:2},\;C_{18:2}\;;\;1.7%)$, $(C_{16:0},\;C_{18:1},\;C_{18:1}\;;\;1.7%)$, $(C_{18:1},\;C_{18:3},\;C_{18:3}\;;\;1.5%)$.

• Journal of Korean Ophthalmic Optics Society
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• v.6 no.2
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• pp.65-70
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• 2001

We obtained the sum of two curvature ($C_x+C_y$) in toric lens which two toroidal surface is the right angle each other. $$C_x+C_y=\frac{x^2+y^2}{2r_1}+\frac{x^2}{2}(\frac{1}{r_2}-\frac{1}{r_1})$$ and the sum of two curvature ($C_a+C_b$) in toric lens about the cross angle. $$(C_a+C_b)=\frac{x^2cos^2{\alpha}_1}{2r_1}+\frac{x^2cos^2{\alpha}_2}{2r_2}+\frac{y^2sin^2{\alpha}_1}{2r_1}+\frac{y^2sin^2{\alpha}_2}{2r_2}$$ and claculated the parameter S, C, ${\theta}$ of a combination power in toric lens of the cross angle including surface curvature ($C_x$, $C_y$) values. $$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}\[-\frac{{C_xy^2sin2{\theta}_1}+{C_yx^2sin2{\theta}_2}}{{C_xy^2cos2{\theta}_1}+{C_yx^2cos2{\theta}_2}}\]$$.

• Korean Journal of Food Science and Technology
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• v.14 no.3
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• pp.226-231
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• 1982

In order to define triglyceride compositions in fat and oil triglycerides were separated by thin layer chromatography (TLC) from corn oil, and the separated triglycerides were graduated according to each partition number(PN) by high performance liquid chromatography (HPLC) using column of ${\mu}-Bondapack\;C_{18}$ and each graduation was graduated again according to acylcarbon number by gas liquid chromatography(GLC). Fatty acid compositions were analyzed by GLC after their graduation were methylated in according to PN. The triglyceride compositions were estimated by synthesizing the above three results. The estimated triglycerides consisted of 36 kinds in corn oil. The major triglyceride compositions of sample oil were as follows: 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%$(C_{16:0},\;C_{16:0},\;C_{18:1})$.

• Korean Journal of Food Science and Technology
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• v.14 no.3
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• pp.219-225
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• 1982

Triglycerides of cottonseed oil were separated by thin layer chromatography (TLC), and fractionated by high-performance liquid chromatography (HPLC) on the basis of partition numbers. From each fraction, it was fractionated again on the basis of acyl carbon numbers using gas liquid chromatography (GLC). The fatty acids of triglyceride for each partition number group were analyzed by GLC. From, these results, triglyceride constituents of cotton seed oil were estimated to be 37 kinds of triglycerides. The major triglycerides and their contents in cotton seed oil were as follows: 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%$(C_{14:0},\;C_{18:2},\;C_{18:1})$.

• Korean Journal of Food Science and Technology
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• v.19 no.4
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• pp.377-381
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• 1987

From the profiles of triglyceride composition and the fatty acid at ${\beta}-position$ of glycerol, triglyceride molecular species were found to be 26 kinds in watermelon seed oil. The major triglyceride molecular species in watermelon seed oil were $C_{18:1}{\cdot}C_{18:2}{\cdot}C_{18:1}$ 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% and $C_{18:2}{\cdot}C_{18:2}{\cdot}C_{18:2}$ LLL; 27.6%, Triglyceride molecular species of watermelon seed oil characterized that LLL species existed more than 27% of the total triglyceride molecular species.

• Korean Journal of Mathematics
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• v.27 no.2
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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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• v.34 no.2
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• pp.81-85
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• 1991

Lipids in dry peas were extracted by the mixture of chloroform-methanol-water, and from the extracted lipids triacylglycerols(TG) were separated by thin layer chromatography. TG were separated into different fractions according to partition numbers by HPLC. Each of these collected fractions was analyzed on the basis of acyl carbon number by GLC, and their fatty acid compositions were also analyzed by GLC. From these results, the possible fatty acid combinations of TG in dry peas were estimated to be thirty three kinds and the major kinds were as follows $C_{16:0}C_{18:2}C_{18:2}(13.4%),\;C_{18:1}C_{18:2}C_{18:3}(9.3%),\;C_{18:1}C_{18:2}C_{18:2}(9.2%),\;C_{18:2}C_{18:2}C_{18:2}(8.1%),\;C_{18:2}C_{18:2}C_{18:3}(6.4%),\;and\;C_{18:0}C_{18:1}C_{18:2}(5.4%)$.

• Journal of the Korean Applied Science and Technology
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• v.18 no.3
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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.

• Journal of Plant Biology
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• v.11 no.1
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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, $C. indicum{\times}C. zawadskii 2n=28, C. zawadskii{\times}C. indicum-1 2n=28, C. zawadskii{\times}C. indicum-2 2n=28, C. zawadskii{\times}C. indicum-3 2n=28, C. zawadskii{\times}C. indicum-4 2n=28, C. zawadskii{\times}C. indicum-5 2n=28, C. zawadskii {\times}C. lavandulaefolium-1 2n=26, C. zawadskii{\times}C. lavandulaefolium-2 2n=26.$

• Applied Biological Chemistry
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• v.27 no.4
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• pp.278-284
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• 1984

The triglyceride compositions of peach kernel and apricot kernel oil have been investigated by a combination of high performance liquid chromatography (HPLC) and gas liquid chromatography(GLC). The triglycerides of peach kernel and apricot kernel oil were first separated by thin layer chromatography(TLC), and fractionated on the basis of their partition number(PN) by HPLC on a C-18 ${\mu}-Bondapak$ column with methanol-chloroform solvent mixture. Each of these fractionated groups was purely collected and analyzed by GLC according to acyl carbon number(CN) of triglyceride. Also the fatty acid compositions of these triglycerides were determined by GLC. From the consecutive analyses of these three chromatography techniques, the possible triglyceride compositions of peach kernel and apricot kernel oil were combinated into fifteen and thirteen kinds of triglycerides, respectively. The major triglycerides of peach ternel oil were those of $(3{\times}C_{18:1}\;30.9%)$, $(2{\times}C_{18:1},\;C_{18:2},\;21.2%)$, $(C_{18:1},\;2{\times}C_{18:2}\;10.6%)$, $(3{\times}C_{18:2}\;3.8%)$, $(C_{18:0},\;2{\times}C_{18:1},\;1.8%)$, $(C_{16:0},\;C_{18:1},\;C_{18:2},\;1.5%)$, $(C_{18:0},\;C_{18:1},\;C_{18:2},\;1.1%)$ and those of apricot kernel oil were $(3{\times}C_{18:1},\;39.5%)$, $(2{\times}C_{18:1},\;C_{18:2},\;24.5%)$, $(C_{18:0},\;2{\times}C_{18:2},\;14.2%)$, $(3{\times}C_{18:2},\;2.0%)$.