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It is also shown that on the nilmanifold $\Gamma\backslash (H^3\times H^3)$ the balanced condition is not stable under small deformations.


For $\gamma\in\mathbb{R}$ let $C(\gamma)$ be the set of all $f\in{\mathcal S}^\prime$ for which$\sum_{n=0}^{\infty}\,(f,h_n)\,(n+1)^{\gamma}>amp;lt;\infty$, where $(h_n)_{n=0,1,\dots}$ is the orthonormal base of Hermite functions.


We show that $C(\gamma)\subset S_0$ if and only if $\gamma\geq\frac{1}{4}$ and that $S_0\subset C(\gamma)$ if and only if $\gamma\leq{}\frac{1}{4}$.


Using these results we give an explicit solution of the problem of optimal reconstruction of functions from Sobolev's classes $W^{\gamma}_{p}(M^{d})$ in $L_{q}(M^{d}), 1 \leq q \leq p \leq \infty$.


This result generalizes the characterization of Fourier series of distributions with a distributional point value given in [5] by $\lim_{x\rightarrow\infty}\sum_{x\leq n\leq ax}a_{n}e^{inx_{0}}=\gamma\ (\mathrm{C},k)\,$.

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 The imfluence of BHA and VB on the carcinogenic effect of AFT were investigated for the study of chemoprevention of AFT. 200 male wistar rats were divided into 4 groups of 50 animals each: (1) AFT group, (2) AFT + VB2 group, (3) AFT+BHA group, (4) controlled group. AFT was dissolved in DMSO (40 ug/0.1ml) and injected intraceritoneally to the rats of the 3 experimental groups twice a week in the same close. VB2 was dissolved in drinking water (50 ppm), BHA was incorporated into the basic diet (2.55g/kg) and... The imfluence of BHA and VB on the carcinogenic effect of AFT were investigated for the study of chemoprevention of AFT. 200 male wistar rats were divided into 4 groups of 50 animals each: (1) AFT group, (2) AFT + VB2 group, (3) AFT+BHA group, (4) controlled group. AFT was dissolved in DMSO (40 ug/0.1ml) and injected intraceritoneally to the rats of the 3 experimental groups twice a week in the same close. VB2 was dissolved in drinking water (50 ppm), BHA was incorporated into the basic diet (2.55g/kg) and fed to the rats ad libitum. The rats of comtrolled group were given (i.p.) the same volume of DMSO only.In a period of 2 years, 73 tumors were found in 57 rats of the 3 experimental groups. The comtrolled froup showed no tumor. In the AFT + BHA group, the incidence of hepatocellular carcinoma (HCC) (13.33%) was much lower than that in the AFT group (56,25%)(P< 0.05), the frequency (27,08%) and size (0.08±0.24mm2/cm2) of the precanceraus hepatocytehyperplastic lesions were much lower than those in the AFT group (45.71% 2.45 ± 7.66mm2/ cm2) (P<0.05). the activity of gammaglutarnyl transpeptidase (rGT) in liver tissue of group (2.62±0.46 u/g) was somewhat lower than that of the AFT group (3.84±0.56) (P>0.05). On the contrary, the above parameters in AFT + VB2 group were higher than those in the AFT group (p>0.05). The incidence of tumors other than HCC in AFT + BHA group and AFT + VB2 group was the same (41.94%), but it lower than that in the AFT group (60.71%)(P>0.05). Furthermore, the incubation period of the HCC and other tumors was significantly prolonged in the AFT + BHA group.These results showed that BHA has a marked inhibitory effect on the hepatocarcinogenesis of AFT in rats, whereas VB2 seemingly enhances it. They suggest that BHA may be a useful chemoinhibitor for the prophylaxis of HCC in high incidence areas where AFT contamination is severe.  为研究AFT致癌的化学预防,观察了BHA和VB_2对AFT致癌作用的影响。雄性大鼠200只,分4组:AFT组,AFT+VB_2组,AFT+BHA组,对照组,各50只。AFT以二甲基亚砜(DMSO)为溶剂,腹腔注射,三个实验组注射剂量及时间相同。VB_2溶于饮水中,BHA混和于饲料中。对照组只注射DMSO。 二年后,实验组共有57只大鼠发生肿瘤,对照组无肿瘤。BHA组肝癌诱发率(13.33％)明显低于AFT组(56.25％)(P<0.05),癌前肝细胞增生性病变发生率(27.08％)及面积(0.08±0.24mm~2/cm~2)均显著低于AFT组(45.71％,2.45±7.66mm~2/cm~2)(P<0.05),肝组织γGT活力(2.62±0.46单位/g)也略低于AFT组(3.84±0.56)(P>0.05)。反之,VB_2组上述各项指标均略高于AFT组(P>0.05)。其他肿瘤诱发率,BHA组与VB_2组相同(41.94％)而低于AFT组(60.71％)(P>0.05)。此外,肝癌及其他肿瘤的发生时间,BHA组明显推迟。 以上表明,BHA对AFT致癌有显著抑制作用,可能成为有效的化学预防剂。  Using the agar diffusion chamber (ADC) for colony formation of lymphocytic leukemic cells L7712, we compared the survival curves of the cells irradiated by three kindsof low LET radiations200kV xrays, ~(60)Co gamma rays and 20 MeV electron beamin two rates (0 35Gy/min and 1 0Gy/min). The cells grew well in ADC both in the peritoneums of 615 inbred mice andKumming white mice. The relationship between the number of cells implanted to eachchamber and the number of colonies formed was shown to be linear.... Using the agar diffusion chamber (ADC) for colony formation of lymphocytic leukemic cells L7712, we compared the survival curves of the cells irradiated by three kindsof low LET radiations200kV xrays, ~(60)Co gamma rays and 20 MeV electron beamin two rates (0 35Gy/min and 1 0Gy/min). The cells grew well in ADC both in the peritoneums of 615 inbred mice andKumming white mice. The relationship between the number of cells implanted to eachchamber and the number of colonies formed was shown to be linear. There was no significant difference between the two sets of data. 200kV xrays irradiation to cells was studied. The survival curve for a dose rate of0.35Gy/min had a D_0 of 1.55(1.45～1.67)Gy, n of 0 94(0.88～1.03) and correlationcoefficient r=0.88; while with a dose rate of 1 0Gy/min they were 1.39(1.301.54)Gy, 0.90(0.82～1.0) and0.85 respectively. The D_0, n and r for survival curve after~(60)Co irradiation (0.35Gy/min) were 1.76(1.60～1.90)Gy, 0.96(0.87～1.07) and0.82. The RBE of ~(60)Co gamma rays as compared with 200kV xrays was 0.88. Thesurvival curve for 20MeV electron beam (1.0Gy/min) had a D_0 of 1.96(1.87～2.07)Gyand n of 0.99 (0.94～1.05), r=0.93. Its RBE as compared with 200kV xrayswas 0 71.  运用琼脂扩散盒(ADC)培养细胞集落的方法,我们比较了用三种低LET射线——200kVX射线、~(60)Coγ射线和20MeV电子束,在两个剂量率(0.35Gy/min和1Gy/min)下,照射淋巴型白血病细胞L7712得到的存活曲线。 细胞在615近交系小鼠和昆明种小白鼠腹腔中的扩散盒中均生长良好。每个扩散盒中植入的细胞数,和细胞集落数的关系呈线性,在两组数据中无明显差异。 研究了200kVX射线对细胞的辐照效应。剂量率为0.35Gy/min时,存活曲线的D_01.55(1.45～1.67)Gy,n为0.94(0.88～1.03),相关系数r=0.88。而剂量率在1.0Gy/min时,D_0和n分别为1.39(1.30～1.54)Gy和0.90(0.82～1.0),相关系数r=0.85。受~(60)Coγ射线(0.35y/min)照射后,D_0、n和r分别为1.76(1.60～1.90)Gy,0.96(0.87～1.07)和0.82。~(60)Coγ射线和200kVX射线相比得到的相对生物学效应(RBE)为0.88。20MeV电子束(1.0Gy/min)照后的存活曲线,其D_0和n分别为1.96(1... 运用琼脂扩散盒(ADC)培养细胞集落的方法,我们比较了用三种低LET射线——200kVX射线、~(60)Coγ射线和20MeV电子束,在两个剂量率(0.35Gy/min和1Gy/min)下,照射淋巴型白血病细胞L7712得到的存活曲线。 细胞在615近交系小鼠和昆明种小白鼠腹腔中的扩散盒中均生长良好。每个扩散盒中植入的细胞数,和细胞集落数的关系呈线性,在两组数据中无明显差异。 研究了200kVX射线对细胞的辐照效应。剂量率为0.35Gy/min时,存活曲线的D_01.55(1.45～1.67)Gy,n为0.94(0.88～1.03),相关系数r=0.88。而剂量率在1.0Gy/min时,D_0和n分别为1.39(1.30～1.54)Gy和0.90(0.82～1.0),相关系数r=0.85。受~(60)Coγ射线(0.35y/min)照射后,D_0、n和r分别为1.76(1.60～1.90)Gy,0.96(0.87～1.07)和0.82。~(60)Coγ射线和200kVX射线相比得到的相对生物学效应(RBE)为0.88。20MeV电子束(1.0Gy/min)照后的存活曲线,其D_0和n分别为1.96(1.87～2.07)Gy,0.99(0.94～1.05),r=0.93。与200kVX射线相比,RBE等于0.71。  Various types of mice (or rat) transplantable tumor cells were tested for 125IdUrd incorporation rate. The tumors used were: Hep A,EAC,S180,U14 and W256(rat).2× 107 tumor cells were incubated with 8μCi of 125IdUrd, 2μg of 5FdUrd in 20 ml RPMI 1640 medium supplemented with 10% FCS and antibiotics under 5% CO2 at 37℃ for 6,18 and 24 hours respectively. The cells were then washed with Hanks' balance solution, among, the tested cells U14 showed the highest incorporation rate and EAC the least.It was shown that... Various types of mice (or rat) transplantable tumor cells were tested for 125IdUrd incorporation rate. The tumors used were: Hep A,EAC,S180,U14 and W256(rat).2× 107 tumor cells were incubated with 8μCi of 125IdUrd, 2μg of 5FdUrd in 20 ml RPMI 1640 medium supplemented with 10% FCS and antibiotics under 5% CO2 at 37℃ for 6,18 and 24 hours respectively. The cells were then washed with Hanks' balance solution, among, the tested cells U14 showed the highest incorporation rate and EAC the least.It was shown that the highest incorporation was observed at 18 hour incubation. The rate of survival was 87.7% as tested by dye exclusion method. Tumors grew well when the labelled cells were inoculated to receipt mice.The spontaneous release of I25IdUrd fromU14 cells was very low. No more release occurred after two washes. 1 × 106/0.5ml of labelled cells were administered intravenously to groups of 56 mice of approximately the same age and body weight. The treated mice were killed after 1,2 and 4 hour treatment respectively. The percentage of recoveries of radioactivities of spleen, liver and lung were estimated by gamma scintillation counter. The highest recovery rate was noticed at the first hour (82%), but decreased rapidly at the 2nd and 4th hour, indicating the labelled tumor cells were rapidly cleared up in vivo.  用国产~(125)碘——脱氧尿嘧啶核甙标记小鼠移植性肿瘤,以比较各种移植性肿瘤对~(125)碘——脱氧尿嘧啶的摄取率、体外孵育时间、细胞存活率、标记物自然释放率从而确定何者宜用作体内自然杀伤靶细胞。实验结果表明,小鼠移植性肿瘤U_(14)可作为体内自然杀伤靶细胞。   << 更多相关文摘 
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