• Title/Summary/Keyword: $T^3$

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WEAK AND STRONG CONVERGENCE TO COMMON FIXED POINTS OF NON-SELF NONEXPANSIVE MAPPINGS

  • Su, Yongfu;Qin, Xiaolong
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.437-448
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    • 2007
  • Suppose K is a nonempty closed convex nonexpansive retract of a real uniformly convex Banach space E with P as a nonexpansive retraction. Let $T_1,\;T_2\;and\;T_3\;:\;K{\rightarrow}E$ be nonexpansive mappings with nonempty common fixed points set. Let $\{\alpha_n\},\;\{\beta_n\},\;\{\gamma_n\},\;\{\alpha'_n\},\;\{\beta'_n\},\;\{\gamma'_n\},\;\{\alpha'_n\},\;\{\beta'_n\}\;and\;\{\gamma'_n\}$ be real sequences in [0, 1] such that ${\alpha}_n+{\beta}_n+{\gamma}_n={\alpha}'_n+{\beta'_n+\gamma}'_n={\alpha}'_n+{\beta}'_n+{\gamma}'_n=1$, starting from arbitrary $x_1{\in}K$, define the sequence $\{x_n\}$ by $$\{zn=P({\alpha}'_nT_1x_n+{\beta}'_nx_n+{\gamma}'_nw_n)\;yn=P({\alpha}'_nT_2z_n+{\beta}'_nx_n+{\gamma}'_nv_n)\;x_{n+1}=P({\alpha}_nT_3y_n+{\beta}_nx_n+{\gamma}_nu_n)$$ with the restrictions $\sum^\infty_{n=1}{\gamma}_n<\infty,\;\sum^\infty_{n=1}{\gamma}'_n<\infty,\; \sum^\infty_{n=1}{\gamma}'_n<\infty$. (i) If the dual $E^*$ of E has the Kadec-Klee property, then weak convergence of a $\{x_n\}$ to some $x^*{\in}F(T_1){\cap}{F}(T_2){\cap}(T_3)$ is proved; (ii) If $T_1,\;T_2\;and\;T_3$ satisfy condition(A'), then strong convergence of $\{x_n\}$ to some $x^*{\in}F(T_1){\cap}{F}(T_2){\cap}(T_3)$ is obtained.

Effects of TDN/CP Ratio on Nutrient Intake, Body Weight Gain, Blood Characteristics of Dairy Heifers from 12 to 14 Months of Age (TDN/CP 비율이 젖소 12~14개월령 육성우 영양소 섭취량, 증체량 및 혈액성상에 미치는 영향)

  • Kim, Gyeom-Heon;Hwang, Won-Uk;Kim, Hyun-Jin;Kim, Soo-Ki
    • Journal of The Korean Society of Grassland and Forage Science
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    • v.36 no.2
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    • pp.115-123
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    • 2016
  • In this study, the effect of energy and protein ratio on the nutrient availability and body weight gain was determined to find the proper nutrient level for the stage of replacement dairy heifers before fertilization at approximately 12~24 months old after birth. Dry matter intake showed that the TDN/CP rate of T1 (5.0:1), T2 (4.5:1) and T3 (4.0:1) resulted in similar values. Among feces, the ash content of T1 was 11.07%, which was significantly (p < 0.05) higher than that of T3 (9.69%). It was also significantly (p < 0.05) higher than that of T2 (10.32%). When the TDN/CP rate was increased, the ash content in the feces was also increased. Regardless of the initial weight, weight gain was increased significantly as the CP rate in the feed was increased on the $30^{th}$ day. On the $60^{th}$ day, T2 showed the highest rate of gain (p < 0.05). As the TDN rate was decreased or the protein rate was increased, weight gain was significantly (p < 0.05) increased. Regarding GPT level in the blood after finishing the test, T1 and T3 (112.6, 88.3 u/l) showed significantly (p < 0.05) higher value than T2 (50.9 u/l). For phosphorus level, T1 (46.3 mg/dl) showed significantly (p < 0.05) higher value than other treatments. For HDL cholesterol level, T2 (145.2 mg/dl) had significantly (p < 0.05) higher level than T1 (121.0 mg/dl) or T3 (132.3 mg/dl). For triglyceride levels, T3 (40.6 mg/dl) had significantly (p < 0.05) higher value than T1 (20.7 mg/dl) and T2 (29.0 mg/dl). For other blood parameters including BUN concentration, there were no significant (p > 0.05) difference among treatments. As a result, although feed intake and weight gain with TDN/CP rate of 4:1 showed best results, considering the excess body fat accumulation possibilities or blood metabolism, it seems 4.5:1 ratio is most appropriate.

Evaluation of MR Safety of Breast Expander on 1.5T and 3.0T MRI (유방 조직 확장기의 1.5T와 3.0T MRI 환경 내 안정성 평가)

  • Jung, Dong-Il;Kim, Jae-Seok
    • Journal of the Korean Society of Radiology
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    • v.14 no.4
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    • pp.361-366
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    • 2020
  • The purpose of this study is to evaluate the safety of the breast tissue expander implanted patients who require MRI examination. Torques were 0ml, 150 ml, 300 ml, 450 ml at 1.5 Tesla forward direction, 4, 3, 3, and 2 respectively, and 1.5 Tesla reverse direction at 4, 4, 4, 3 respectively. In the 3.0 T environment, 4 was shown in all conditions. In the overturning experiment, no overturning occurred in more than 300 ml in the 1.5Tesla environment, and most of the overturning occurred in the 3.0 Tesla environment. In terms of safety, MRI scans of patients with breast tissue expanders should be avoided at 3.0 Tesla and conditionally at 1.5 Tesla.

Influence of various concentrations of aflatoxin B1 on in vitro rumen fermentation of a buffalo diet

  • Singh, Ram;Park, Sungkwon;Koo, Jin Su;Balasubramanian, Balamuralikrishnan
    • Korean Journal of Agricultural Science
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    • v.47 no.1
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    • pp.131-138
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    • 2020
  • The aim of this study was to evaluate the effect of aflatoxin B1 (AFB1) on in vitro rumen fermentation at various dose levels of 0 (T1), 100 (T2), 200 (T3), and 300 (T4) ppb in a wheat straw-based buffalo diet. The results show that the truly degradable dry matter, truly degradable organic matter, gas production, microbial biomass production and partitioning factor values in the control group (T1) were higher (p < 0.05) than those of the T2, T3, and T4 groups. The total volatile fatty acids, acetate, propionate, and butyrate values in the control group (T1) were higher (p < 0.05) than those of the T2, T3, and T4 groups. The partitioning factor value in the control group (T1) was higher (p < 0.05) than those of the T2, T3, and T4 groups. The partitioning factor values of the T2 and T3 groups were higher (p < 0.05) than that of the T4 group. There was no significant variation in the partitioning factor value between the T2 and T3 group. The acetate : propionate (A : P) ratio in the control group (T1) was lower (p < 0.05) than those of the T2, T3, and T4 groups. The A : P ratio in the T2 group was lower (p < 0.05) than those of the T3 and T4 groups. It was concluded that different levels of AFB1 contamination in feed significantly affect the in vitro rumen fermentation characteristics. Thus, these findings could help to determine the influences of AFB1 in a wheat straw-based buffalo diet. Additionally, it is necessary to manage AFB1 contamination in ruminants.

Effect of Italian Ryegrass(Lolium multiflorum) and Kentucky Bluegrass(Poa pratensis) Planted Singly or in Combination with Other Forage Species on Suppressing Weeds (단파 또는 혼파초지에서 Italian ryegrass와 Kentucky bluegrass의 잡초억제 효과)

  • Kim, M.C.;Kim, J.H.
    • Journal of The Korean Society of Grassland and Forage Science
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    • v.19 no.3
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    • pp.241-250
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    • 1999
  • A field plot experiment was carried out on mixed pasture from October 1995 to October 1997 to examine the effect of weed control as affected by the difference of mixed pasture species, planning with spilt plot design which main plots of 2 treatments (companion crop Italian ryegrass Lolium multiflorum and Kentucky bluegrass Poa pratensis) are divided into subplots of 4 treatments (T1: single companion crop, T2: Tall fescue Festuca arundinasea + Orchardgrass Dactylis glomerata + Ladino clover Trifolium repens, T3 : Perennial ryegrass Lolium perenne + orchardgrass + ladino clover, T4 : orchardgrass + ladino clover). Average 2 year-dry matter yields of companion crops as whole plots, Italian ryegrass and Kentucky bluegrass, were 15,437kg/ha and 14,629kg/ha, respectively and those of T1, T2, T3 and T4 as sub plots were 14,815, 15,407, 14,629 and 15,187kg/ha respectively without statistical1y significant difference(P>0.05). Though there was no significant difference between the dry matter yields of Italian ryegrass and Kentucky bluegrass, as whole plots, at 1st harvest of second year, dry matter yields of T3 and T4, as 4,591kg/ha and 4,816kg/ha respectively, were higher than those of T1, 3,376kg/ha(P<0.05), significantly. There was a significant difference among 2nd year-average DM yields of sub plots(P<0.05), showing highest with T4 15,131kg/ha and least with T1 13,085kg/ha and T3 13,269kg/ha. Italian ryegrass, as the companion crop, was better for the control of weeds in the early spring than Kentucky bluegrass, but reached to the similar botanical composition level with Kentucky bluegrass after summer with rapid decrease of Italian ryegrass. Percentage of Kentucky bluegrass in botanical composition increased slowly, but did'nt become an important factor for the control of weeds at the end of this experiment. Using orchardgrass in mixed pasture such as T2, T3 and T4 made weeds more decreased in mixed pasture than one in single conpanion crop. There was no difference among treatments of whole or sub plots in crude protein contents of pasture taken in this study. Contents of NDF and ADF of companion crop. Italian ryegrass plots harvested in October 1997 were hither than those of Kentucky bluegrass plots(P<0.05). ADF contents of Kentucky blue grass-plots taken in July 1997 has shown to be high significantly as compared to those of Italian ryegrass plots(P<0.01). The results of this study support that the companion crop Italian ryegrass was good for weed controls only in spring of 1st year after sowing and orchardgrass in mixed pastures played good roles for increase of dry matter yield and weed control.

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Reasonable Split Application Method of Nitrogen Fertilizer for Early Dry Seeding Culture of Rice in Honam Plain Area (호남평야지에서 벼 건답직파 조기파종재배에 알맞은 질소 분시방법)

  • Kim, Sang-Su;Choi, Weon-Young;Back, Nam-Hyun;Choi, Min-Gyu;Park, Hong-Kyu
    • Korean Journal of Soil Science and Fertilizer
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    • v.40 no.6
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    • pp.460-464
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    • 2007
  • This study was carried out to elucidate the proper split application method of nitrogen fertilizer for early dry seeding culture of rice in Honam plain area from 1997 to 1998 in Korea. Dongjinbyeo was selected as rice variety for this experiment. The rate of $160kg\;ha^{-1}$ of nitrogen was split as 40-30-30% of total nitrogen at three different application time combination ; T1) basal-5th leaf-panicle formation(PF) stage, T2) 3rd leaf-5th leaf-PF, and T3) 3rd leaf-7th leaf-PF. The content of $NH_4-N$ in soil at 5th leaf stage was higher in top dressing plots(T2, T3) compared with basal application(T1), at 7th leaf stage it was most in top dressed at 3rd leaf and 5th leaf stage, but there was no difference at heading stage. Amount of nitrogen uptake and nitrogen use efficiency was higher in the order of T3, T2 and T1(basal application). Spikelet number per unit area was more in the order of T3, T2 and T1, but rate of ripened grain and 1,000 grain weight were not significantly different among three nitrogen split application methods. Milled rice yields were higher in top dressed plots compared with basal nitrogen application plots. From the results of this experiment, reasonable nitrogen split application method for early dry seeding culture of rice could be 40-30-30% of total nitrogen at 3rd leaf, 7th leaf and panicle formation stage.

An Experimental Study on the Biomechanical Effectiveness of Bone Cement-Augmented Pedicle Screw Fixation with Various Types of Fenestrations

  • Yoon, Sang Hoon;Lee, Sang Hyung;Jahng, Tae-Ahn
    • Journal of Korean Neurosurgical Society
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    • v.65 no.6
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    • pp.779-789
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    • 2022
  • Objective : To analyze the effects of the number and shape of fenestrations on the mechanical strength of pedicle screws and the effects of bone cement augmentation (BCA) on the pull-out strength (POS) of screws used in conventional BCA. Methods : For the control group, a conventional screw was defined as C1, a screw with cannulated end-holes was defined as C2, a C2 screw with six pinholes was defined as C3, and the control group type was set. Among the experimental screws, T1 was designed using symmetrically placed thru-hole type fenestrations with an elliptical shape, while T2 was designed with half-moon (HM)-shaped asymmetrical fenestrations. T3 and T4 were designed with single HM-shaped fenestrations covering three pitches and five pitches, respectively. T5 and T6 were designed with 0.6-mm and 1-mm wider fenestrations than T3. BCA was performed by injecting 3 mL of commercial bone cement in the screw, and mechanical strength and POS tests were performed according to ASTM F1717 and ASTM F543 standards. Synthetic bone (model #1522-505) made of polyurethane foam was used as a model of osteoporotic bone, and radiographic examinations were performed using computed tomography and fluoroscopy. Results : In the fatigue test, at 75% ultimate load, fractures occurred 7781 and 9189 times; at 50%, they occurred 36122 and 82067 times; and at 25%, no fractures occurred. The mean ultimate load for each screw type was 219.1±52.39 N for T1, 234.74±15.9 N for T2, 220.70±59.23 N for T3, 216.45±32.4 N for T4, 181.55±54.78 N for T5, and 216.47±29.25 N for T6. In comparison with C1, T1, T2, T3, T4, and T6 showed significantly different ultimate load values (p<0.05). However, when the values for C2 and the fenestrated screws were evaluated with an unpaired t test, the ultimate load value of C2 significantly differed only from that of T2 (p=0.025). The ultimate load value of C3 differed significantly from those of T1 and T2 (C3 vs. T1 : p=0.048; C3 vs. T2 : p<0.001). Linear correlation analysis revealed a significant correlation between the fenestration area and the volume of bone cement (Pearson's correlation coefficient r=0.288, p=0.036). The bone cement volume and ultimate load significantly correlated with each other in linear correlation analysis (r=0.403, p=0.003). Conclusion : Fenestration yielded a superior ultimate load in comparison with standard BCA using a conventional screw. In T2 screws with asymmetrical two-way fenestrations showed the maximal increase in ultimate load. The fenestrated screws can be expected to show a stable position for the formation of the cement mass.

Effect of Dietary Copper Sources (Cupric Sulfate and Cupric Methionate) and Concentrations on Performance and Fecal Characteristics in Growing Pigs

  • Huang, Y.;Zhou, T.X.;Lee, J.H.;Jang, H.D.;Park, J.C.;Kim, I.H.
    • Asian-Australasian Journal of Animal Sciences
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    • v.23 no.6
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    • pp.757-761
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    • 2010
  • This study was conducted to assess the effects of organic and inorganic copper on performance in growing pigs. A total of 100 pigs, average age 63 d and initial body weight 21.46${\pm}$1.13 kg, were assigned to five treatment groups. Dietary treatments included i) CON (basal diet, 0 ppm Cu), ii) T1 (basal diet with 67 ppm Cu as cupric sulfate, $CuSO_4$), iii) T2 (basal diet with 134 ppm Cu as $CuSO_4$), iv) T3 (basal diet with 67 ppm Cu as cupric methionate, CuMet) and v) T4 (basal diet with 134 ppm Cu as CuMet). Throughout the entire experimental period, ADG (average daily gain), ADFI (average daily feed intake) and G/F (gain: feed) ratios showed no significant differences. The dry matter digestibility was improved in the T1, T2, T3, and T4 treatments (p<0.05), as compared with CON. Nitrogen digestibility was improved in the T3 treatment group as compared with CON (p<0.05). As compared with the T1 treatment group, fecal pH values were improved in the CON, T3, and T4 treatment groups (p<0.05). Fecal Cu concentrations were significantly lower in the CON, T3, and T4 treatment groups than in T1 and T2 (p<0.05). The incidence of diarrhea was reduced when the pigs were fed on the T2, T3, and T4 diets as compared with CON. In conclusion, diets supplemented with 67 or 134 ppm Cu as CuMet may prove effective in improving nutrient digestibility and fecal pH value in growing pigs, and fecal Cu concentrations may be reduced by CuMet supplementation.

Effects of Feeding Patterns of Concentrate on Growth Performance, Blood Parameters and Carcass Characteristics in Fattening Hanwoo Cows (한우 암소 비육시 배합사료 급여형태가 발육, 혈액성상 및 도체특성에 미치는 영향)

  • Lee, Sang Min;Chang, Sun Sik;Jung, Ki Yong;Kim, Hyeong Cheol;Choi, Sun Ho;Kwon, Eung Gi;Park, Byung Ki;Yang, Boh Suk;Lee, Sung Sill;Cho, Young Moo
    • Journal of Animal Science and Technology
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    • v.55 no.1
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    • pp.33-39
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    • 2013
  • This study was conducted to investigate the effects of feeding patterns of concentrates on growth performance, blood parameters and carcass characteristics in Hanwoo cows. Randomly-allocated groups, restricted concentrate feeding (T1), restricted concentrate feeding for 6 months and ad libitum 2 months (T2), restricted concentrate feeding for 4 months and ad libitum 4 months (T3), were contained with 9 animals. According to feeding patterns of concentrate, growth performance was not significantly different among the treatment groups. However, ADG tended to be higher in T2 group (0.75 kg/d) compared to the other groups (T1: 0.62 kg/d, T3: 0.72 kg/d). DMI was not significantly different among the treatment groups, interestingly, rice straw intake was significantly higher in T1 group compared with others (p<0.05). There were significant difference among feed conversion ratio, which are 17.8, 12.8, and 14.1 kg for T1, T2, and T3 (p<0.05), respectively. The serum level of albumin, triglyceride, glucose and GPT were greater in T3 group compared to other groups at fattening 6 to 8 months (p<0.05). The results of yield traits, carcass weight, back fat thickness and rib eye area were not differ among treatment groups, but yield index was significantly greater in T2 group compared to T1 group (p<0.05). The 'A' appearance rate (%) of meat yield grade was highest in T2 group for 78%. The marbling score, meat color, fat color, texture and maturity in quality traits were not differ among the treatment groups. However, marbling score and appearance rate (%) of over 1st meat quality grade were tend to be increased at T3 rather (4.0, 56%) group compared with other groups (T1: 3.4, 56%; T2: 3.6, 33%). Thus, the present study suggested that restricted concentrate feeding (1.6% of BW) for 4 months during early fattening periods and ad libitum feeding for 4 months during late fattening periods are recommendable.

Molecular Identification of Trichogramma (Hymenoptera: Trichogrammatidae) Egg Parasitoids of the Asian Corn Borer Ostrinia furnacalis, Based on ITS2 rDNA Sequence Analysis (ITS2 rDNA 염기서열 분석을 통한 Trichogramma 속(벌목: 알벌과)의 조명나방 알기생벌에 대한 종 추정)

  • Seo, Bo Yoon;Jung, Jin Kyo;Park, Ki Jin;Cho, Jum Rae;Lee, Gwan-Seok;Jung, Chung Ryul
    • Korean journal of applied entomology
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    • v.53 no.3
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    • pp.247-260
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    • 2014
  • To identify the species of Trichogramma occurring in the corn fields of Korea as egg parasitoids of Ostrinia furnacalis, we sequenced the full-length of ITS2 nuclear rDNA from 112 parasitoids collected during this study. As a reference to distinguish species, we also retrieved full-length ITS2 sequences of 60 Trichogramma species from the NCBI GenBank database. On the basis of the size and 3'terminal sequence pattern of the ITS2 sequences, the Trichogramma samples collected in this study were divided into three groups (K-1, -2, and -3). Evolutionary distances (d) within and between groups based on ITS2 sequences were estimated to be ${\leq}0.005$ and ${\geq}0.080$, respectively. In the net average distance between groups or species, the d value between K-1 and T. ostriniae, K-2 and T. dendrolimi, and K-3 and T. confusum was the lowest, with values of 0.016, 0.001, and 0.002, respectively. In the phylogenetic tree, K-1 and K-2 were clustered with T. ostriniae and T. dendrolimi, respectively. However, K-3 was clustered with three different species, namely, T. confusum, T. chilonis, and T. bilingensis. NCBI BLAST results revealed that parasitoids belonging to K-1 and K-2 showed 99% identity with T. ostriniae and T. dendrolimi, respectively. Parasitoids in K-3 collected from Hongcheon showed 99-100% identity with T. confusum and T. chilonis, and one parasitoid in K-3 collected from Gochang had 98% identity with T. bilingensis, T. confusum, and T. chilonis. On the basis of these results, we infer that the species of Trichogramma collected in this study are closely related to T. ostriniae (K-1) and T. dendrolimi (K-2). However, it was not possible to distinguish species of K-3 using the ITS2 sequence alone.