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On the Gauss Map of Tubular Surfaces in Pseudo Galilean 3-Space

  • Tuncer, Yilmaz;Karacan, Murat Kemal;Yoon, Dae Won
    • Kyungpook Mathematical Journal
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    • v.62 no.3
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    • pp.497-507
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    • 2022
  • In this study, we define tubular surfaces in Pseudo Galilean 3-space as type-1 or type-2. Using the X(s, t) position vectors of the surfaces and G(s, t) Gaussian transformations, we obtain equations for the two types of tubular surfaces that satisfy the conditions ∆X(s, t) = 0, ∆X(s, t) = AX(s, t), ∆X(s, t) = λX(s, t), ∆X(s, t) = ∆G(s, t), ∆G(s, t) = 0, ∆G(s, t) = AG(s, t) and ∆G(s, t) = λG(s, t).

Resolution of the Triacylglycerols Containing Conjugate Trienoic Acids into Their Molecular Species by HPLC in the Reversed-phase and Silver Ion Mode (Reversed-phase 및 $Ag^{+}$-HPLC에 의한 Conjugate Trienoic Acid 함유(含有) Triacylglycerol 분자종(分子種)의 상호분리(相互分離))

  • Kim, Seong-Jin;Woo, Hyo-Kyeng;Joh, Yong-Goe
    • Journal of the Korean Applied Science and Technology
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    • v.18 no.3
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    • pp.197-213
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    • 2001
  • Conjugate trienoic acids (CTA) occurred in triacylglycerols (TGs) of the seed oils of Trichosanthes kirilowii, Momordica charantia and Aleurites fordii, and they were easily converted to their methyl esters in a mixture of sodium methoxide-methanol without any structural destruction. The main fatty acids in triacylglycerol (TG) fraction of the seed oils of Trichosanthes kirilowii are $C_{18:2{\omega}6}$ (32.2 mol %), $C_{18:3{\;}9c.11t,13c}$ (38.0 mol %) and $C_{18:1{\omega}9}$ (11.8 mol %), followed with $C_{16:0}$ (4.8 mol %) and $C_{18:0}$ (3.1 mol %). The TG fraction was resolved into 20 TG molecular species according to the partition number (PN) by reversed-phase (RP)-HPLC. The main TG species were $DT_{c2}$, $MDT_{c}$ and $D_{2}T_{c}$, of which amounts reached 63 mol % of total TG molecular species. The TG sample was fractionated into 11 fractions according to the number of double bond in the molecule by $Ag^{+}-HPLC$ and the species of $DT_{c2}$, $MDT_{c}$ and $D_{2}T_{c}$ were also eluted as main components. The TG species containing CTA showed unusual behaviours in the order of elution by HPLC ; first, TG moleular species of $DT_{c2}$ (D; dienoic acid, $T_{c}$; punicic acid, $T_{ci}$; ${\alpha}-eleostearic$ acid, M ; monoenoic acid, $S_{t}$; stearic acid) was eluted earlier than $Mt_{c2}$, although they have the same PN number of 40, and, secondly, the species of $DT_{ci2}$ with eight double bonds was eluted earlier than that of $D_2T_{ci}$ with seven double bonds. Intact TG of the seed oils of Momordica charantia contained mainly fatty acids such as $C_{18:3{\omega}9c,11t,13t}$ (57.7 mol %), $C_{18:1{\omega}9}$ (17.4 mol %), $C_{18:0}$ (12.3 mol %) and $C_{18:2{\omega}6}$ (10.6 mol %), and was classified into 13 fractions by RP-HPLC. The main TG species were as follows ; $MT_{ci2}$ [$(C_{18:1{\omega}9})(C_{18:3\;9c,11t,13t})_{2}$, 39.1 mol %] and $S_{t}T_{ci2}$ [$(C_{18:0})(C_{18:3\;9c,11t,13t})_2$, 33.9 mol %] comprising about 73 mol % of total TG species, accompanied by $DT_{ci2}$ [$(C_{18:2{\omega}6})(C_{18:3\;9c,11t,13t})_{2}$, 7.3 mol %], $D_{2}T_{ci}$ [$ (C_{18:2{\omega}6})_{2}(C_{18:3\;9c,11t,13t})$, 3.6 mol %] and $MDT_{ci}$ [$(C_{18:1{\omega}9})(C_{18:2{\omega}6})(C_{18:3\;9c,11t,13t})$, 3.5 mol %]. Simple TG species of $T_{ci3}$ [$(C_{18:3\;9c,11t,13t})_3]$ was present in a small amount of 1.4 mol %, but other simple TG species were not detected. The TG was also resolved into 11 fractions according to the number of double bond by $Ag^{+}-HPLC$, and the species were mainly occupied by $MT_{ci2}$ [$(C_{18:1{\omega}9})(C_{18:3\;9c,11t,13t})_{2}$, 39.4 mol %] and $S_tT-{ci2}$ [$(C_{18:0})(C_{18:3\;9c,11t,13t})_{2}$, 35.4 mol %] $DT_{ci2}$ species with eight double bonds was also developed faster than $D_2T_{ci}$ one with seven double bonds as indicated in the analysis of TG of the seed oils of T. kirilowii, and $MT_{ci2}$ species with cis, trans, trans-configurated double bond was eluted earlier than $MT_{c2}$ species with cis, trans, cis-configurated double bond. The main components of fatty acid in total TG fraction isolated from the seed oils of of Aleurites fordii were in the following order ; $C_{18:3\;9c,11t,13t}$ (81.2 mol %)> $C_{18:2{\omega}6}$ (8.5 mol %)> $C_{18:1{\omega}9}$ (5.4 mol %)$. With resolution of the TG by RP-HPLC, eight fractions such as $T_{ci3}$, $Dt_{ci2}$, $D_{2}T_{ci}$, $MT_{ci2}$, $PT_{ci2}$ (P; palmitic acid), $PMT_{ci}$, $PDT_{ci}$ and $S_{t}T_{ci2}$ ($S_{t}$; stearic acid) were isolated, respectively. TG species of $T_{ci3}$ [$(C_{18:3\;9c,11t,13t})_{3}$, 54.2 mol %], $DT_{ci2}$ [$(C_{18:2{\omega}6})(C_{18:3\;9c,11t,13t})_{2}$, 15.0 mol %] and $MT_{ci2}$ [$(C_{18:1{\omega}9})(C_{18:3 9c,11t,13t})_{2}$, 14.8 mol %] were present as main species.

Selection of Legume Crop by Intercropping with Sorghum $\times$ Sudangrass Hybrid (Sorghum $\times$ Sudangrass 교잡종과 간작에 의한 청예 두과작물 선발)

  • 이상무;전병태
    • Journal of The Korean Society of Grassland and Forage Science
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    • v.16 no.2
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    • pp.93-104
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    • 1996
  • A field experiment was conducted in Chungju and Jungwon to evaluate growth characteristics, dry matter yield, protein yield and palatability of intercropping comparing with monocropping forage crops by the use of sorghum $\times$ sudangrass hybrid(S.S.H.), five forage soybeans and two forage cowpeas of superior to selected experiment of varieties. All eight treatment plots were replicated three times and cutting date were cut July 6 and September 9. 1. The mean leaf number of S.S.H. in intercropping T2 treatment showed high compared to T1 treatment in all treatment except for Hwangkeum treatment, but T3 treatment was lower than the other treatments. In the leaf number of soybean, Jangbaek treatment was the highest as 47 leaves per plant, cowpea treatments showed high above 50 leaves. The stem diameter of S.S.H. in Jangyeob treatment of T2 treatment was 9.6mm. In legume, cowpea of T3 treatment was high as ranged from 7.9mm to 8.2mm. In stem hardiness of S.S.H., TI treatment was the lower than the other treatments, while Jangbaek treatment of T2 treatment was the highest as $2.0kg/cm^2$. In legume crops, Jangbaek and Baekun treatment were the highest as $1.6kg/cm^2$, but T3 treatment was very low as $0.3~0.6kg/cm^2$. 2. In the mean leaf ratio of S.S.H., T1 treatment was higher than T2 and T3 treatment as 34.9%. In the legume crops, Togyu treatment was the highest as 40.9%. In the mean tiller number of S.S.H., T2 treatment showed high compared to TI treatment, but T3 treatment of was rather decrease than The tiller number of S.S.H. in Jangyeob treatment of T2 treatment was the highest as 4.6 per plant. The dead stubble of S.S.H. was high in order to T3>T1>T2 treatment>, T3 treatment was highly about 2 times compared to T2 treatment. 3. S.S.H. as T3 treatment was resistant to lodging, but T3 and T1 treatment showed highly lodging. In the legums, T3 treatment was resistant to lodging, but T2 treatment showed highly lodging. In the S.S.H. of T2 treatment, the leaf of summer depression was not occurrence, but T3 treatment was higher than the other treatments. 4. The palatability of domestic animals was high in order of T2>Tl>T3, especially Togyu treatment of T2 treatment was the highest at the holstein and deer, and Jangyeob treatment of T2 treatment was the highest in the Korean native cattle. But T3 treatment was lower than other treatments in the holstein and Korean native cattle. 5. Fresh yield of monocropping(T1) was the highest as 94, 650kg/ha, while dry matter yield in Jangyeob treatment of T2 treatment was the highest as 15, 575/ha But fresh yield and dry matter yield of T3 treatment were the lowest(P<0.05). 6. Protein yield in T2 treatment was high, especially Jangyeob treatment of T2 treatment was the highest as 1, 605.5 kg/ha T3 treatment was low in spite of high protein content, because dry matter yield was lower than the other treatments. In conclusion, among T1, T2 and T3 treatment, Jangyeob, Togyu and Baekun treatments of T2 treatment showed optimum varieties for intercropping with S.S.H., because they showed high Dry matter yield, protein yield and palatability.

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An Evaluation of Thyroid Hormones$(T_4,\;T_3\;&\;Free\;T_4)$ Concentrations During Pregnancy (임신중(姙娠中) 유리(遊離)Thyroxine $(T_4)$의 동태(動態))

  • Lee, Kyu-Bo;Kim, Ji-Yeul
    • The Korean Journal of Nuclear Medicine
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    • v.15 no.1
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    • pp.21-25
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    • 1981
  • Serum concentrations of $T_4,\;T_3$, and free $T_4$ were measured by radioimmunoassay in normal pregnant women at each trimesters, in postpartum women, and cord blood of neonates. Total $T_4$ were increased during pregnancy, remarkably high in the first trimester, and also somewhat increased in postpartum, and normal in neonate. Total $T_3$ were in normal range during pregnancy, but increased in postpartum, whereas decreased in neonate. Free $T_4$ were decreased in 2nd and 3rd trimesters of pregnancy, however normal in post partum and neonate.

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Effects of 3,5,3'-triiodo-L-thyronine ($T_3$) on Sex Steroid Levels and Gonadal Development in Black Porgy, Acanthopagrus schlegeli (감성돔, Acanthopagrus schlegeli의 성 스테로이드 및 생식소 발달에 미치는 3,5,3'-triiodo-L-thyronine ($T_3$)의 영향)

  • Min, Byung-Hwa;Noh, Gyoung-Ane;Jeong, Min-Hwan;Chang, Young-Jin
    • Development and Reproduction
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    • v.9 no.1
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    • pp.15-22
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    • 2005
  • The objective of the present study was to investigate changes of sex steroid(testosterone: T and $estradiol-17{\beta}:\;E_2$), cortisol levels and gonadal development following $T_3$ treatment to protandrous black porgy, Acanthopagrus schlegeli. Exogenous $T_3$ was found to significantly stimulate the increase of T levels in plasma of black porgy after 60 days of treatment. However no effects of $T_3$ on $E_2$ levels and oocyte size were found. $T_3$ treatment resulted in stimulated spermatogenesis and testicular development in gonad and prolonged spermiation. Also, the levels of cortisol were significantly increased in the fish treated with $T_3$ as compared to control fish at 60 days. The results showed that exogenous $T_3$ had direct effect on the release of T and cortisol, thus $T_3$ seems to play, either directly or indirectly, an important role in the testis development of functional male black porgy.

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Studies on the Fishery Biology of Pomfrets, Pampus spp. in the Korean Waters 3. Age and Growth of Korean Pomfret, Pampsu echinogaster, from the East China Sea (한국근해 병어류의 자원생물학적 연구 3. 동지나해산 덕대의 연령과 성장)

  • KANG Yong Joo;LEE Dong Woo;HONG Byung Que;KIM Young Sub
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.22 no.5
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    • pp.281-290
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    • 1989
  • Growth of the Korean pomfret, Pampus echinogaster, captured in the East China Sea from January to December 1987, was estimated by annual rings on the vertebral centrum. The time of annual ring formation was approximately during September and October. Von Ber-talanffy growth equations derived from the mean back-calculated fork length(cm) at each age were as follows: for females, $L_{t}=29.17(1-e xp(-0.3213(t+0.7601)))$, for males, $L_t=28.21(1-e xp(-0.3169(t+0.8284)))$, and for sexes combined, $L_t=29.00(1-e xp(-0.3228(t+0.7361)))$, Seasonal growth equations derived from the mean observed fork length (cm) at age by month were as follows: for females, $L_t=29.2(1-e xp(-0.3458(t+0.8182)+(0.3458/2\pi)sin2\pi(t+0.027)))$, and for males, $L_t=28.2(1-e xp(-0.2789(t+1.5913)+(0.2789/2\pi)sin2\pi(t-0.1062)))$.

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Effects of Planting Density on Growth Characteristics, Dry Matter Yield and Feed Value of Teosinte New Variety, "Geukdong 6" [Zea mays L. subsp. mexicana (Schrad.) H. H. lltis]

  • Lee, Se Ho;Kim, Eun Joong;Lee, Sang Moo
    • Journal of The Korean Society of Grassland and Forage Science
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    • v.42 no.3
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    • pp.162-168
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    • 2022
  • This study was carried out to investigate the effects of planting densities on the growth characteristics, dry matter yield, and feed value of "Geukdong 6" (a new variety of corn for feed). The experimental design was arranged in a randomized block design with three replications. Treatments consisted of six planting densities, 60 cm × 25 cm (T1), 60 cm × 30 cm (T2), 70 cm × 25 cm (T3), 70 cm × 30 cm (T4), 80 cm × 25 cm (T5) and 80 cm × 30 cm (T6). All treatments were sown on May 14, 2021, and the harvest was on October 3 (late flowering). Plant length and the number of tillers were the highest in T5 (p<0.05), but the number of leaves and stem diameter were the highest in T6 than in the other treatments (p<0.05). Leaf length, leaf width, and dead leaf were not significantly different among the treatments. Organic matter was highest in T6, and crude protein was highest in T5 (p<0.05). The ether extract was not significantly different among the treatments. Crude fiber, NDF, and ADF were highest in T2 with relatively higher planting density (p<0.05). Calcium and phosphorus were not significantly different among the treatments. TDN content was the highest in T3 (p<0.05). Sugar degree (Brix), fructose, glucose, dextran, isomerose, and inverted sugar were not significantly different among the treatment. Fresh yield, dry matter yield and TDN yield were higher in order of T6 > T5 > T4 > T3 > T2 > T1 (p<0.05). Relatively feed value was higher in order of T3 > T6 > T5 > T1 > T4 > T2 (p<0.05). Based on the above results, planting density could be recommended from 80 cm × 30 cm for efficient production of "Geukdong 6".

Clinical Experience with 3.0 T MR for Cardiac Imaging in Patients: Comparison to 1.5 T using Individually Optimized Imaging Protocols (장비 별 최적화된 영상 프로토콜을 이용한 환자에서의 3.0T 심장 자기공명영상의 임상경험: 1.5 T 자기공명영상과의 비교)

  • Ko, Jeong Min;Jung, Jung Im;Lee, Bae Young
    • Investigative Magnetic Resonance Imaging
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    • v.17 no.2
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    • pp.83-90
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    • 2013
  • Purpose : To report our clinical experience with cardiac 3.0 T MRI in patients compared with 1.5 T using individually optimized imaging protocols. Materials and Methods: We retrospectively reviewed 30 consecutive patients and 20 consecutive patients who underwent 1.5 T and 3 T cardiac MRI within 10 months. A comparison study was performed by measuring the signal-to-noise ratio (SNR), the contrast-to-noise ratio (CNR) and the image quality (by grading each sequence on a 5-point scale, regarding the presence of artifacts). Results: In morphologic and viability studies, the use of 3.0 T provided increase of the baseline SNRs and CNRs, respectively (T1: SNR 29%, p < 0.001, CNR 37%, p < 0.001; T2-SPAIR: SNR 13%, p = 0.068, CNR 18%, p = 0.059; viability imaging: SNR 45%, p = 0.017, CNR 37%, p = 0.135) without significant impairment of the image quality (T1: $3.8{\pm}0.9$ vs. $3.9{\pm}0.7$, p = 0.438; T2-SPAIR: $3.8{\pm}0.9$ vs. $3.9{\pm}0.5$, p = 0.744; viability imaging: $4.5{\pm}0.8$ vs. $4.7{\pm}0.6$, p = 0.254). Although the image qualities of 3.0 T functional cine images were slightly lower than those of 1.5 T images ($3.6{\pm}0.7$ vs. $4.2{\pm}0.6$, p < 0.001), the mean SNR and CNR at 3.0 T were significantly improved (SNR 143% increase, CNR 108% increase, p < 0.001). With our imaging protocol for 3.0 T perfusion imaging, there was an insignificant decrease in the SNR (11% decrease, p = 0.172) and CNR (7% decrease, p = 0.638). However, the overall image quality was significantly improved ($4.6{\pm}0.5$ vs. $4.0{\pm}0.8$, p = 0.006). Conclusion: With our experience, 3.0 T MRI was shown to be feasible for the routine assessment of cardiac imaging.

Improvement of Growth and Survival Rate in Larval and Juvenile Rockfish (Sebastes schlogeli) from Mother Fish in Vitellogenesis Injected with 3,5,35-triiodo-L-thyronine($T_3$) (난황형성기 모체내 3,5,35-triiodo-L-thyronine ($T_3$) 주사에 의한 조피볼락 자치어의 성장과 생존율 향상)

  • 강덕영;장영진
    • Journal of Aquaculture
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    • v.11 no.3
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    • pp.303-310
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    • 1998
  • The growth and survival rate of larvae and juveniles from female rockfish (Sebastes schlegeli) broodstock in vitellogenesis by injection of 3,5,3'-triiodo-L-thyronine $T_3$ with a dose of 20 mg/kg fish wt. were examined for 30 days and compared with sham-control fish injected dime-thyl sulfoxide and control fish. Larvae were fed with rotifers for first 5 days after parturition, rotifers and Artemia nauplii for next 10 days. And then, they were fed with Artemia nauplii and commercial diet. Growth of larvae and juveniles from maternal $T_3$injection was significantly faster than that of two controls, nevertheless, the condition factor was lower than that of controls. The whole body proximate analyses indicated that there were significant effects of $T_3$ injection on protein and lipid, but no significant on moisture and ash contents. Survival rate of the fish from maternal $T_3$injection was significantly higher than that of fish from the two controls. These results indicate that thyroid hormone supplements appear to confer a distinct advantage to larval and juvenile rockfish in early, fragile development stage.

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Maternal Injection of 3,5,3'-triiodo-L-thyronine ($T_3$) Causes Changes of Thyroid Hormone Levels in Plasma, Eggs and Yolk-sac Larvae in Female Rockfish (Sebastes schlegeli) (3,5,3'-triiodo-L-thyronine ($T_3$) 모체주사에 의한 조피볼락 (Sebastes schlegeli) 혈중, 알 및 난황낭 자어의 갑상선 호르몬 농도 변화)

  • CHANG Young Sin;KANG Duk Young
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.31 no.5
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    • pp.721-726
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    • 1998
  • The changes of thyroid hormone levels in plasma, eggs and yolk-sac larvae in female rockfish (Sebastes schiegeli) were examined after maternal injection of 3,5,3'-triiodo-L-thyronine ($T_3$) with a dose of 20 mg/kg fish wt. There were no differences of L-thyronine ($T_4$) level in maternal plasma and yolk-sac larvae between $T_3$ injection and vehicle-injected control. The significant decrease of $T_4$ level was found in eggs from the $T_3$ injected mother fish compared with that of control. $T_3$ levels in maternal plasma, eggs, and yolk-sac larvae were significantly elevated by $T_3$ injection. Therefore $T_4$ and $T_3$ in maternal circulation may be transferred into oocytes and subsequently into the yolk-sac larvae. These findings suggest that thyroid hormones may play some roles on physiological metabolism during early larval development of rockfish.

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