In this article, we prove the following results： （1） A Banach space X is weak midpoint locally k-uniformly rotund if and only if every closed ball of X is an approximatively weakly compact k-Chebyshev set; （2） A ...In this article, we prove the following results： （1） A Banach space X is weak midpoint locally k-uniformly rotund if and only if every closed ball of X is an approximatively weakly compact k-Chebyshev set; （2） A Banach space X is midpoint locally k-uniformly rotund if and only if every closed ball of X is an approximatively compact k-Chebyshev set.展开更多
In this paper, by using the generating function Φ and X the criteria of the rotundity for the Orlicz-Bochner function and sequence spaces endowed with the Luxemburg norm were obtained. And the sufficient and necessar...In this paper, by using the generating function Φ and X the criteria of the rotundity for the Orlicz-Bochner function and sequence spaces endowed with the Luxemburg norm were obtained. And the sufficient and necessary conditions were given for the extreme point of Orlicz-Bochner sequence space and the conditions in part for Orlicz-Bochner function space.展开更多
K-UR,K-LUR and K-R are the generalizations of UR,LUR and R respectively,which are of great significance in Banach space theory.While in Orlicz–Lorentz function spaceΛ_(ϕ,ω)^(◦)[0,γ)equipped with the Orlicz norm,th...K-UR,K-LUR and K-R are the generalizations of UR,LUR and R respectively,which are of great significance in Banach space theory.While in Orlicz–Lorentz function spaceΛ_(ϕ,ω)^(◦)[0,γ)equipped with the Orlicz norm,the research methods of K-UR,K-LUR and K-R are much more complicated than those of UR,LUR and R.In this paper we obtain some criteria of K-UR,K-LUR and K-R ofΛ_(ϕ,ω)^(◦)[0,γ)by means of the norm of dual space and H_(μ)property ofΛ_(ϕ,ω)^(◦)[0,γ).展开更多
Rotundic acid(RA),an ursane-type pentacyclic triterpene acid isolated from the dried barks of Ilex rotunda Thunb.(Aquifoliaceae),possesses diverse bioactivities.To further study its pharmacokinetics,a simple and sensi...Rotundic acid(RA),an ursane-type pentacyclic triterpene acid isolated from the dried barks of Ilex rotunda Thunb.(Aquifoliaceae),possesses diverse bioactivities.To further study its pharmacokinetics,a simple and sensitive liquid chromatography with triple quadrupole mass spectrometry(LC-QqQ-MS/MS)method was developed and validated to quantify RA concentration in rat plasma and tissue using etofesalamide as an internal standard(IS).Plasma and tissue samples were subjected to one-step protein precipitation.Chromatographic separation was achieved on a ZORBAX Eclipse XDB-C_(18) column(4.6mm×50mm,5μm)under gradient conditions with eluents of methanol:acetonitrile(1:1,V/V)and 5mM ammonium formate:methanol(9:1,V/V)at 0.5mL/min.Multiple reaction monitoring transitions were performed at m/z 487.30→437.30 for RA and m/z 256.10→227.10 for IS in the negative mode.The developed LC-QqQ-MS/MS method exhibited good linearity(2-500 ng/mL)and was fully validated in accordance with U.S.Food and Drug Administration bioanalytical guidelines.Dose proportionality and bioavailability in rats were determined by comparing pharmacokinetic data after single oral(10,20,and 40mg/kg)and intravenous(10mg/kg)administration of RA.Tissue distribution was studied following oral administration at 20mg/kg.The results showed that the absolute bioavailability of RA after administration at different doses ranged from 16.1%to 19.4%.RA showed good dose proportionality over a dose range of 10-40 mg/kg.RA was rapidly absorbed in a dose-dependent manner and highly distributed in the liver.In conclusion,this study is the first to systematically elucidate the absorption and distribution characteristics of RA in rats,which can provide additional information for further development and evaluation of RA in drug metabolism and pharmacokinetic studies.展开更多
Three characteristics of the very rotund space ape proved and the relationships between the very rotund space and the geometrical properties of Banach space are discussed. Also connection between the weakly exposed po...Three characteristics of the very rotund space ape proved and the relationships between the very rotund space and the geometrical properties of Banach space are discussed. Also connection between the weakly exposed points and Radon Nikodym-property is established.展开更多
基金supported by the National Natural Science Foundation of China(11671252)supported by the National Natural Science Foundation of China(11771278)
文摘In this article, we prove the following results： （1） A Banach space X is weak midpoint locally k-uniformly rotund if and only if every closed ball of X is an approximatively weakly compact k-Chebyshev set; （2） A Banach space X is midpoint locally k-uniformly rotund if and only if every closed ball of X is an approximatively compact k-Chebyshev set.
文摘In this paper, by using the generating function Φ and X the criteria of the rotundity for the Orlicz-Bochner function and sequence spaces endowed with the Luxemburg norm were obtained. And the sufficient and necessary conditions were given for the extreme point of Orlicz-Bochner sequence space and the conditions in part for Orlicz-Bochner function space.
基金Supported by NSFC(Grant No.11771273)National Science Research Project of Anhui Educational Department(Grant No.KJ2019A0487)。
文摘K-UR,K-LUR and K-R are the generalizations of UR,LUR and R respectively,which are of great significance in Banach space theory.While in Orlicz–Lorentz function spaceΛ_(ϕ,ω)^(◦)[0,γ)equipped with the Orlicz norm,the research methods of K-UR,K-LUR and K-R are much more complicated than those of UR,LUR and R.In this paper we obtain some criteria of K-UR,K-LUR and K-R ofΛ_(ϕ,ω)^(◦)[0,γ)by means of the norm of dual space and H_(μ)property ofΛ_(ϕ,ω)^(◦)[0,γ).
基金supported by CAMS Innovation Fund for Medical Sciences(Grant No.:2019-I2M-5e020)the National Natural Science Foundation of China(Grant No.:81503154)the National Major Scientific and Technological Special Project for Significant New Drugs Development(Grant No.:2017ZX09101002-001-005).
文摘Rotundic acid(RA),an ursane-type pentacyclic triterpene acid isolated from the dried barks of Ilex rotunda Thunb.(Aquifoliaceae),possesses diverse bioactivities.To further study its pharmacokinetics,a simple and sensitive liquid chromatography with triple quadrupole mass spectrometry(LC-QqQ-MS/MS)method was developed and validated to quantify RA concentration in rat plasma and tissue using etofesalamide as an internal standard(IS).Plasma and tissue samples were subjected to one-step protein precipitation.Chromatographic separation was achieved on a ZORBAX Eclipse XDB-C_(18) column(4.6mm×50mm,5μm)under gradient conditions with eluents of methanol:acetonitrile(1:1,V/V)and 5mM ammonium formate:methanol(9:1,V/V)at 0.5mL/min.Multiple reaction monitoring transitions were performed at m/z 487.30→437.30 for RA and m/z 256.10→227.10 for IS in the negative mode.The developed LC-QqQ-MS/MS method exhibited good linearity(2-500 ng/mL)and was fully validated in accordance with U.S.Food and Drug Administration bioanalytical guidelines.Dose proportionality and bioavailability in rats were determined by comparing pharmacokinetic data after single oral(10,20,and 40mg/kg)and intravenous(10mg/kg)administration of RA.Tissue distribution was studied following oral administration at 20mg/kg.The results showed that the absolute bioavailability of RA after administration at different doses ranged from 16.1%to 19.4%.RA showed good dose proportionality over a dose range of 10-40 mg/kg.RA was rapidly absorbed in a dose-dependent manner and highly distributed in the liver.In conclusion,this study is the first to systematically elucidate the absorption and distribution characteristics of RA in rats,which can provide additional information for further development and evaluation of RA in drug metabolism and pharmacokinetic studies.
文摘Three characteristics of the very rotund space ape proved and the relationships between the very rotund space and the geometrical properties of Banach space are discussed. Also connection between the weakly exposed points and Radon Nikodym-property is established.
文摘传统主元分析(Principal component analysis,PCA)方法因忽视量纲对系统的影响,从而使选取的主元难以具有代表性;而在进行量纲标准化后,又因得到的特征值常常是近似相等的而无法进行有效的主元提取.针对这一主要问题,本文通过引入相对化变换(Relative transform,RT)、相对主元(Relative principal components,RPCs)和分布"均匀"等概念,建立起一种相对主元分析(Relative principal component analysis,RPCA)的新方法.该方法首先对系统各分量进行量纲标准化;其次再根据系统的先验信息分析和确定各分量的重要程度;然后在系统能量守恒的准则下,赋以系统各分量相应的权值;最后利用已建立起的相对主元模型,对系统实施RPCA.同时运用数值例子,开展了RPCA在数据压缩和系统故障诊断中的应用研究.理论分析和仿真实验均表明,采用RPCA方法选取出的主元更具代表性和显著几何意义,加之选取主元的灵活性,将使新方法具有更广泛的应用前景。
