• Title/Summary/Keyword: $T_{1/2}$

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OSCILLATION THEOREMS FOR SECOND-ORDER MIXED-TYPE NEUTRAL DYNAMIC EQUATIONS ON SOME TIME SCALES

  • Sun, Jing
    • Journal of applied mathematics & informatics
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    • v.30 no.1_2
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    • pp.15-26
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    • 2012
  • Some oscillation results are presented for the second-order neutral dynamic equation of mixed type on a time scale unbounded above $$\(r(t)[x(t)+p_1(t)x(t-{\tau}_1)+p_2(t)x(t+{\tau}_2)]^{\Delta}\)^{\Delta}+q_1(t)x(t-{\tau}_3)+q_2(t)x(t+{\tau}_4)=0.$$ These criteria can be applied when $\mathbb{T}=\mathbb{R}$, $\mathbb{T}=h{\mathbb{Z}}$ and $\mathbb{T}=\mathbb{P}_{a,b}$. Two examples are also provided to illustrate the main results.

Effects of Caprylic Acid and Cyclodextrin Complex on In vitro Fermentation Characteristics and Methane Production (Caprylic Acid와 Cyclodextrin 복합물이 In vitro 반추위 발효성상 및 메탄 생성에 미치는 영향)

  • Kim, K.H.;Seol, Y.J.;Lee, S.S.;Oh, Y.G.;Nam, I.S.;Kim, D.H.;Choi, C.W.
    • Journal of Animal Science and Technology
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    • v.49 no.5
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    • pp.657-666
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    • 2007
  • This study was conducted to evaluate the effects of dietary addition of caprylic acid(CA)-cyclodextrin (CD) complex on in vitro fermentation characteristics, total gas and methane production. Experiment was done with six treatment groups; 1) no CA-CD complex(control), 2) CA 20 mg(T1), 3) CD 830 mg(T2), 4) CA-CD complex 425 mg(T3), CA-CD complex 850mg(T4), CA-CD complex 1,700 mg(T5). Ruminal pH, ammonia and total VFA concentrations of T2, T3, T4 and T5 were lower(P<0.05) than those of control and T1 for the 12h incubation. The increase in molar percentage of propionate was observed in T4 and T5 compared with control and T2 for the 8h incubation(P<0.05), however, the ratio of acetate to propionate was unchanged in all treatments. Total gas of T1 was lower than that of control, but T2, T3, T4 and T5 were higher compared with control for 12h incubation(P<0.05). If the methane ratio (as %) to total gas for all treatments was compared, T3, T4 and T5(CA-CD supplemented groups) averaged 2.7% whereas control, T1 and T2 showed 3.4, 2.8 and 5.1%, respectively. Therefore, according to these results, it might be concluded that supplementation of CA-CD complex could reduce methane production without disrupting ruminal fermentation.

The Formation of Trans Fatty Acids with Heat Treatment and Storage of Fats and Oils (II) -The contents and the kinds of Trans fatty acids- (유지의 가열 및 저장에 따른 Trans지방산 생성에 관한 연구 -제2보 ; Trans지방산 함량 및 조성 변화를 중심으로-)

  • Kim, Duk-Sook;Koo, Bon-Soon;Ahn, Myung-Soo
    • Korean journal of food and cookery science
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    • v.6 no.3 s.12
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    • pp.25-32
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    • 1990
  • In this study, the cis to trans isomerization of unsaturated fatty acids were investigated about Soybean oil (SBO), Corn germ oil (CGO), Cottonseed oil (CSO), Margarine (MG), Shortening (ST) incubated at $40{\pm}2^{\circ}C$ for 35 days and heated at $185{\pm}2^{\circ}C$ for 24 hours. The contents and kinds of trans fatty acids in each sample were determined by GLC after seperating by HPLC. The results were obtained as follows; 1. When samples were incubated at $40{\pm}2^{\circ}C$ for 35 days, the contents of total trans fatty acids were increased from $0.5{\sim}12.3%$ to $0.8{\sim}20.5%$. The kinds of trans fatty acids found were $t-C_{18:1},\;t,c-C_{18:2},\;t,t-C_{18:2},\;t,c,c-C_{18:3}$ in $SBO,\;t-C_{18:1},\;t,c-C_{18:2}$ in $CGO,\;t-C_{16:1},\;t-C_{18:1},\;t,c-C_{18:2},\;t,t-C_{18:2}$ in CSO. Processed oil such as MG and ST showed more complicated composition of trans fatty acids than SBO, CGO and CSO. $t-C_{18:1},\;t,c-C_{18:2},\;t,t-C_{18:2},\;t,c,t-C_{18:3},\;t-C_{20:1}$ were detected in ST. 2. In the case of heating at $185{\pm}2^{\circ}C$ for 24 hours, the contents of total trans fatty acid were $1.6{\sim}37%$. 2% in all samples. Heating made more remarkable isomerization than incubation $(40{\pm}2^{\circ}C)$. Specially, $c,c,t-C_{18:3}$ in $SBO,\;t,t,t-C_{18:3}$ in $MG,\;t,c,t-C_{18:3},\;t,t,t-C_{18:3}$ in ST were detected. 3. The total contents of trans fatty acids of processed oil were higher than vegetable oils. During incubation, trans fatty acids increased in the order of MG>ST>CGO>SBO>CSO, and during heat treatment, MG>ST>SBO>CGO>CSO.

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Benign versus Malignant Soft-Tissue Tumors: Differentiation with 3T Magnetic Resonance Image Textural Analysis Including Diffusion-Weighted Imaging

  • Lee, Youngjun;Jee, Won-Hee;Whang, Yoon Sub;Jung, Chan Kwon;Chung, Yang-Guk;Lee, So-Yeon
    • Investigative Magnetic Resonance Imaging
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    • v.25 no.2
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    • pp.118-128
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    • 2021
  • Purpose: To investigate the value of MR textural analysis, including use of diffusion-weighted imaging (DWI) to differentiate malignant from benign soft-tissue tumors on 3T MRI. Materials and Methods: We enrolled 69 patients (25 men, 44 women, ages 18 to 84 years) with pathologically confirmed soft-tissue tumors (29 benign, 40 malignant) who underwent pre-treatment 3T-MRI. We calculated MR texture, including mean, standard deviation (SD), skewness, kurtosis, mean of positive pixels (MPP), and entropy, according to different spatial-scale factors (SSF, 0, 2, 4, 6) on axial T1- and T2-weighted images (T1WI, T2WI), contrast-enhanced T1WI (CE-T1WI), high b-value DWI (800 sec/mm2), and apparent diffusion coefficient (ADC) map. We used the Mann-Whitney U test, logistic regression, and area under the receiver operating characteristic curve (AUC) for statistical analysis. Results: Malignant soft-tissue tumors had significantly lower mean values of DWI, ADC, T2WI and CE-T1WI, MPP of ADC, and CE-T1WI, but significantly higher kurtosis of DWI, T1WI, and CE-T1WI, and entropy of DWI, ADC, and T2WI than did benign tumors (P < 0.050). In multivariate logistic regression, the mean ADC value (SSF, 6) and kurtosis of CE-T1WI (SSF, 4) were independently associated with malignancy (P ≤ 0.009). A multivariate model of MR features worked well for diagnosis of malignant soft-tissue tumors (AUC, 0.909). Conclusion: Accurate diagnosis could be obtained using MR textural analysis with DWI and CE-T1WI in differentiating benign from malignant soft-tissue tumors.

우모를 이용한 taurine 강화 계란 생산

  • 이승민;임희석;백인기
    • Proceedings of the Korea Society of Poultry Science Conference
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    • 2003.11a
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    • pp.119-120
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    • 2003
  • The experiments were conducted to investigate the effects of supplementary feather meal(FM) and its digest on the taurine content and performance of laying hens. Feeding trial was conducted with 810 78-wk-old ISA-Brown layers for 5wk. The experiment consisted of nine dietary treatments ; T1 ; control(basal diet), T2;Tl + feather meal(FM) 6 % diet, T3;T2 + pyridoxin(21 mg/kg) supplemented diet, T4; T1 + H$_2$O$_2$treated FM 6%, T5; T4 + pyridoxin(21 mg/kg) supplemented diet, T6; T1 + cystine(0.25 %) supplemented diet, T7; T6 + pyridoxin(21 mg/kg) supplemented diet, T8; T1 + synthetic taurine supplemented(0.25%) diet, T9; T1 + synthetic taurine supplemented(0.5 %) diet. Diets were formulated to be iso-caloric and to meet NRC(1994) requirements of essential nutriente. Birds in treatments T3 showed significantly higher(P<0.01) egg production, feed intake, feed conversion ratio, egg weight, haugh unit and eggshell strength than those fed other treatments. Supplementation of FM. H$_2$O$_2$treated FM and cystine with or without pyridoxin did not significantly affected taurine content of egg yolk. Only synthetic taurine supplemented diets(T8 and T9) linearly increased(P<0.01) taurine content of egg yolk.

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Changes of Vacuum Packed Pork Quality during Storage after Aging with Korean Traditional Sauces

  • Moon, Sung-Sil;Jin, Sang-Keun;Kim, Il-Suk;Park, Ki-Hoon;Hah, Kyung-Hee
    • Food Science of Animal Resources
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    • v.26 no.3
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    • pp.315-321
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    • 2006
  • Sixteen somimembranosus muscles were seamed out from sixteen left carcasses. They were cut into $7{\times}10{\times}2cm$ pieces and mixed randomly. Samples were assigned to four treatments: (T1) soy-based sauce; (T2) Kimchi-based sauce; (T3) pickled shrimp-based sauce; and (T4) onion-based sauce. Each treatment was aged in plastic box at $1^{\circ}C$ for 10 days. These samples were vacuum-packaged after treatment with sauces and held in a chill at $1^{\circ}C$ for 28 days. The pH of aged port in general, was decreased significantly (p<0.05) with storage in all treatments. Its falling rate was the slowest in T4 of all treatments, while it was faster in T2 and T3 than in T4. The salinity of aged pork was decreased (p<0.05) for T2 with increased storage days, but increased (p<0.05) for T1. The salinity showed T2 to be significantly higher (p<0.05) than T1 and T4 on 1 day, but to be lower(p<0.05) than T1 on 28 day. The saccharinity of T3 was significantly higher (p<0.05) on 1 day than those of T1 and T4, but decreased (p<0.05) on 14 and 28 day. While saccharinity of T1 was significantly the lowest(p<0.05) of all treatments on 1 day and increased (p<0.05) with increased storage days. For T1 and T2, the WHC (water holding capacity) results showed higher (p<0.05) on 14 day than on 1 and 28 day. On 28 day, the WHC result showed T4 to be the highest(p<0.05) of all treatments, but T2 to be the lowest (p<0.05). On 28 day, the shear force results showed a big difference (p<0.05) among treatments, being in order of T4>T3>T2>T1. Panelists rated T1 as having higher(p<0.05) aroma, flavor and overall acceptability than other treatments.

A Study on the Characteristic of Ship`s Magnetic Distribution of M. S. KAYA by the Varies of Artificial Local Disturbance (인위적 지방자기 변동에 의한 가야호의 선체자기 분포특성에 관한 연구)

  • 조현정
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.34 no.2
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    • pp.144-158
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    • 1998
  • In order to study basic information on the developed electro-magnetic compass, experiments were carried out on board M. S. KAYA at the pier of Dong Kuk Steel Mill in Pusan and the Korean southern sea using a three-axis magnetic sensor from Jan. 21, 1995 to Feb. 14, 1996. The obtained results were as follows : 1. The amount of old metal on the pier was about 27,290tons~57,440tons with an average of 40,560tons, the artificial local disturbance at the pier was min. 27.1$\mu$T, max. 66.5$\mu$T, ave. 433$\mu$T for the horizontal component and min. -27.0$\mu$T, max. 45.1$\mu$T, ave. 3.7$\mu$T for the vertical component. Its direction of horizontal component was 305$^{\circ}$ with the ship's head up bearing at 225$^{\circ}$. 2. The ship's magnetic distribution on the starboard side on berthing at the pier was 17.4$\mu$T for the horizontal component and -6.2$\mu$T for the vertical component. On the ship's port side, it was 19.8$\mu$T for the horizontal component and 4.1$\mu$T for the vertical component. On the ship's starboard side at sea, the ship's magnetic distribution was 19.2$\mu$T for the horizontal component and 3.2$\mu$T for the vertical component. On the ship's port side, the readings were 22.0$\mu$T for the horizontal component and -1.8$\mu$T for the vertical component. The directions of these readings were nearly starboard side. 3. On the pier, the secular change of the artificial local disturbance decreased 8.3$\mu$T from 61.0$\mu$T to 52.7$\mu$T for the horizontal component and decreased 7.1$\mu$T from 8.9$\mu$T M 1.8$\mu$T for the vertical component. On the starboard side from its berth, the ship, s magnetic distribution increased 2.6$\mu$T from 14.8$\mu$T to 17.4$\mu$T for the horizontal component and increased -0.1$\mu$T from -6.1$\mu$T to -6.2$\mu$T for the vertical component. On the ship's port side from its berth, it increased 7.1$\mu$T from 12.7$\mu$T to 19.8$\mu$T for the horizontal component and increased 10.2$\mu$T from -6.1$\mu$T to 4.1$\mu$T for the vertical component. 4. While at sea, on the ship's starboard side, the Secular change of the ship's magnetic distribution increased 3.9$\mu$T from 15.3$\mu$T to 19.2$\mu$T for the horizontal component and increased 2.0$\mu$T from -5.2$\mu$T to -3.2$\mu$T for the vertical component. On the port side, the changes increased 11.4$\mu$T from 10.6$\mu$T to 22.0$\mu$T for the horizontal component and increased 4.9$\mu$T from -6.7$\mu$T to -1.8$\mu$T for the vertical component. Upon berthing at the pier, the deviation of the secular change increased westerly 1 degree W~ 2.5$^{\circ}$ W from 3.5$^{\circ}$ W~ 5$^{\circ}$ W M 6W with the ship's head up bearing at 225$^{\circ}$. While at sea, these increased westerly 2$^{\circ}$ ~ 3$^{\circ}$ from the Northeast to the South and increased easterly 1$^{\circ}$ ~ 8$^{\circ}$ from the Southwest to the North. 5. While at port, within 1 mile between the ship and berth of the pier, as we approached the pier, the westerly deviation increased and when we departed the pier easterly deviation increased. When approaching the pier, the deviation was smaller than the deviation when the ship was departing from the pier. When approaching the bearing at 225$^{\circ}$ with the ship's head up bearing, the varies of deviation was smaller than the varies when the ship's head up bearing was departing from it.

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Effects of the Order of Material Addition on the Quality Characteristics of Emulsification Sausage (원부재료의 투입 순서가 유화형 소시지의 품질 특성에 미치는 영향)

  • Jin, Sang-Keun;Kim, Il-Suk;Nam, Young-Wook;Cho, Ju-Hyun;Hur, Sun-Jin;Kang, Suk-Nam
    • Food Science of Animal Resources
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    • v.27 no.2
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    • pp.157-162
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    • 2007
  • Emulsification sausages were prepared in 3 different ways: T1: fat added after ice, T2: fat added before ice, T3: all ingredients added together. Each sample was ground for 4.5 min by a silent cutter at $15^{\circ}C$ and emulsified batters were stuffed into fibrous casing and then cooked for 40 min at $78^{\circ}C$ to determine the effect of the order of ingredient addition on the qualities of emulsion type sausage. The pH of T1 sausage was significantly higher, whereas the pH of T3 was significantly lower compared with the other samples(p<0.05). The shear force was significantly higher in T1 sausage, however the hardness and gumminess were significantly lower in T1 sausage compared with other two types(p<0.05). With regard to sensory evaluation, the relative amounts of flavor can be summarized as T2>T1>T3, and the color was significantly higher in T1 and T2 compared with T3(p<0.05). There was no significant difference among the test sausages with regard to aroma, juiciness, tenderness and overall acceptability(p>0.05). There were no significant differences in free moisture, water holding capacity(WHC), meat color and texture properties such as brittleness, cohesiveness, springiness and chewiness. As a result of this study, the sausage were much for sausage prepared by adding the fat after the ice(T1) than the other sausage samples in which fat was added after ice to make emulsion type sausages.

Weak Separation Axioms in Generalized Topological Spaces

  • Renukadevi, V.;Sivaraj, D.
    • Kyungpook Mathematical Journal
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    • v.54 no.3
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    • pp.387-399
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    • 2014
  • We show that in quasi-topological spaces, separation axiom $T_2$ is equivalent to ${\alpha}-T_2$, $T_0$ is equivalent to semi - $T_0$, and semi - $T_{\frac{1}{2}}$ is equivalent to semi - $T_D$. Also, we give characterizations for ${\alpha}-T_1$, semi - $T_1$ and semi - $T_{\frac{1}{2}}$ generalized topological spaces.

동시획득 $T_{1}T_{2}^{*}$ 강조 경사 자장 펄스열을 사용한 관류량과 투과도 측정

  • 김은주;김대홍;이희조;허용민;이상훈;이삼현;서진석
    • Proceedings of the KSMRM Conference
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    • 2002.11a
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    • pp.103-103
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    • 2002
  • 목적:자화율 대조법을 사용한 관류 영상에서 동시획득 $T_{1}T_{2}^{*}$ 강조 경사 자장 펄스열을 사용하여 Gd-DTPA에 의한 $T_{1}T_{2}^{*}$ 감소 효과를 동시에 획득하여 종양의 치료 효과, 판정에 중요한 기준을 제시할 수 있는 정확한 관류 정보를 얻고자 한다. 대상 및 방법: Gd-DTPA에 의한 $T_{1}T_{2}^{*}$ 감소 효과를 동시에 획득하기 위하여 기존의 이중 경사자장 펄스열을 수정, 동시획득 $T_{1}T_{2}^{*}$ 강조 경사자장 펄스열을 개발하였고, 시간 해상도를 높이기 위하여 key-hole 방법을 사용하였다. 고정 phantom으로 Sephadex를 다양한 농도의 Gd-DTPA 용액에 swelling하여 사용하였고, 관류 phantom으로는 Sephadex와 Dialyzer를 사용하였다. Sephadex는 swelling 하였을 때 $T_1$, $T_2$값이 생체 조직의 값과 비슷하고, 물을 관류시킬 수 있어 생체 모형에 적합한 phantom이다 .관류 phantom은 정량 펌프에 연결하여 사용하였다. Sephadex 관류 phantom에서는 분당 약 4$m\ell$ 속도로 관류시키면서 25 mM Gd-DTPA을 0.1$m\ell$ 일시 주입하여 관류 방향에 수직인 coronal 영상을 약 15분 동안 얻었다. 투과도를 구하기 위한 phantom으로는 hollow fiber type Dialyzer를 사용하였고, in vivo에서 1차 관류 이후에 현관 밖에서의 Gd농도가 높고 혈관 내부의 농도가 낮은 상태를 만들기 위하여 fiber 바깥쪽으로 500 mM Gd-DTPA 2 ml를 미리 넣어두고 fiber 내부로 이보다 낮은 농도의 Gd 용액을 관류시키면서 약 1시간동안 영상을 얻었다. 관류 영상에서 $T_1$/$T_{2}^{*}$ 감소 효과를 구분하여 구한 $\DeltaR_1$, $\DeltaR_2$ 곡선의 적분값으로부터 관류량을 구하고, 2 구획 모델을 적용하여 투과도를 구했다.

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