For Riemannian manifolds with a measure, we study the gradient estimates for positive smooth f-harmonic functions when the ∞-Bakry-Emery Ricci tensor and Ricci tensor are bounded from below, generalizing the classica...For Riemannian manifolds with a measure, we study the gradient estimates for positive smooth f-harmonic functions when the ∞-Bakry-Emery Ricci tensor and Ricci tensor are bounded from below, generalizing the classical ones of Yau (i.e., when : is constant).展开更多
Selective functionalization of C-F bonds in trifluoromethyl groups has recently received a growing interest, as it offers atom- and step-economic pathways to access highly valuable mono- and difluoroalkyl-substituted ...Selective functionalization of C-F bonds in trifluoromethyl groups has recently received a growing interest, as it offers atom- and step-economic pathways to access highly valuable mono- and difluoroalkyl-substituted organic molecules using simple and inexpensive trifluoromethyl sources as the starting materials. In this regard, impressive progress has been made on the defluorinative functionalization reactions that proceed via radical intermediates. Nevertheless, it is still a great challenge to precisely control the defluorination process, due to the continuous decrease of the C-F bond strength after the replacement of one or two fluorine atoms with various functionalities. This review article is aimed to provide a brief overview of recently reported methods used to functionalize C-F bonds of CF_(3) groups via radical intermediates. An emphasis is placed on the discussion of mechanistic aspects and synthetic applications.展开更多
A new maximal function is introduced in the dual spaces of test function spaces on spaces of homogeneous type. Using this maximal function, we get new characterization of atomic H^p spaces.
Attention deficit and hyperactivity disorder(ADHD) is a disorder characterized by behavioral symptoms including hyperactivity/impulsivity among children,adolescents,and adults.These ADHD related symptoms are influen...Attention deficit and hyperactivity disorder(ADHD) is a disorder characterized by behavioral symptoms including hyperactivity/impulsivity among children,adolescents,and adults.These ADHD related symptoms are influenced by the complex interaction of brain networks which were under explored.We explored age-related brain network differences between ADHD patients and typically developing(TD) subjects using resting state f MRI(rs-f MRI) for three age groups of children,adolescents,and adults.We collected rs-f MRI data from 184 individuals(27 ADHD children and 31 TD children;32 ADHD adolescents and 32 TD adolescents;and 31 ADHD adults and 31 TD adults).The Brainnetome Atlas was used to define nodes in the network analysis.We compared three age groups of ADHD and TD subjects to identify the distinct regions that could explain age-related brain network differences based on degree centrality,a well-known measure of nodal centrality.The left middle temporal gyrus showed significant interaction effects between disease status(i.e.,ADHD or TD) and age(i.e.,child,adolescent,or adult)(P 0.001).Additional regions were identified at a relaxed threshold(P 0.05).Many of the identified regions(the left inferior frontal gyrus,the left middle temporal gyrus,and the left insular gyrus) were related to cognitive function.The results of our study suggest that aberrant development in cognitive brain regions might be associated with age-related brain network changes in ADHD patients.These findings contribute to better understand how brain function influences the symptoms of ADHD.展开更多
This paper is sequel to the authors paper [18]. By using the generalized Burchnall-Chaundy operator method, the authors are aiming at deriving certain decomposition formulas for some interesting special cases of Kampe...This paper is sequel to the authors paper [18]. By using the generalized Burchnall-Chaundy operator method, the authors are aiming at deriving certain decomposition formulas for some interesting special cases of Kampe de Feriets series of double hypergeometric series F;.展开更多
Very recently Atash and Al-Gonah [1] derived two extension formulas for Lauricella’s function of the second kind of several variables and . Now in this research paper we derive two families of transformation formulas...Very recently Atash and Al-Gonah [1] derived two extension formulas for Lauricella’s function of the second kind of several variables and . Now in this research paper we derive two families of transformation formulas for the first kind of Lauricella’s function of several variables and with the help of generalized Dixon’s theorem on the sum of the series obtained earlier by Lavoie et al. [2]. Some new and known results are also deduced as applications of our main formulas.展开更多
In recent years Copper-64 in the chemical form of copper chloride ([64Cu]CuCl2) has been identified as a potential agent for PET imaging and radionuclide therapy. The aim of this research was to determine the biodistr...In recent years Copper-64 in the chemical form of copper chloride ([64Cu]CuCl2) has been identified as a potential agent for PET imaging and radionuclide therapy. The aim of this research was to determine the biodistribution and the labeling of radio nanoparticle with 64CuCl2, the nanoparticles Cu(acac)2/F-TiO2 were mixed with 64CuCl2 (20-37 MBq), then the final solution was used to injected healthy Wistar rats to probe the absorption of nanoparticle inside tissue trough of the groups OH that are formed during the functionalization of the Cu(acac)2/F-TiO2. The “in vivo” evaluation after realize the images study in micro PET equipment, uptake of the radio-nanoparticle was observed in the digestive system in the healthy Wistar rats.展开更多
基于目前基站空间分布无固定规律性这一现状,为了探究基站空间分布特性,提出一套测量方案,结合F函数(empty space function)及包络函数理论分别对英国3种不同区域的实际基站分布数据进行了分析并对比。当F函数自变量r足够小或足够大时,...基于目前基站空间分布无固定规律性这一现状,为了探究基站空间分布特性,提出一套测量方案,结合F函数(empty space function)及包络函数理论分别对英国3种不同区域的实际基站分布数据进行了分析并对比。当F函数自变量r足够小或足够大时,3个区域基站分布均接近较理想的泊松分布状态,当r分别达到一定数值时基站分布呈现聚集性的特点。同时,不同区域基站的聚集程度由其特有的地理环境和人口分布决定,基站分布密度与人口密度成正相关。两市区基站技术选型配比近似,郊区基站中涉及第3代移动通信技术的基站占主导。展开更多
文摘For Riemannian manifolds with a measure, we study the gradient estimates for positive smooth f-harmonic functions when the ∞-Bakry-Emery Ricci tensor and Ricci tensor are bounded from below, generalizing the classical ones of Yau (i.e., when : is constant).
基金National Natural Science Foundation of China (No.21971226)the Fundamental Research Funds for the Central Universities (No. WK2060000017) for financial support。
文摘Selective functionalization of C-F bonds in trifluoromethyl groups has recently received a growing interest, as it offers atom- and step-economic pathways to access highly valuable mono- and difluoroalkyl-substituted organic molecules using simple and inexpensive trifluoromethyl sources as the starting materials. In this regard, impressive progress has been made on the defluorinative functionalization reactions that proceed via radical intermediates. Nevertheless, it is still a great challenge to precisely control the defluorination process, due to the continuous decrease of the C-F bond strength after the replacement of one or two fluorine atoms with various functionalities. This review article is aimed to provide a brief overview of recently reported methods used to functionalize C-F bonds of CF_(3) groups via radical intermediates. An emphasis is placed on the discussion of mechanistic aspects and synthetic applications.
文摘A new maximal function is introduced in the dual spaces of test function spaces on spaces of homogeneous type. Using this maximal function, we get new characterization of atomic H^p spaces.
基金supported by the Institute for Basic Science[grant No.IBS-R015-D1]the National Research Foundation of Korea(grant No.NRF-2016R1A2B4008545)
文摘Attention deficit and hyperactivity disorder(ADHD) is a disorder characterized by behavioral symptoms including hyperactivity/impulsivity among children,adolescents,and adults.These ADHD related symptoms are influenced by the complex interaction of brain networks which were under explored.We explored age-related brain network differences between ADHD patients and typically developing(TD) subjects using resting state f MRI(rs-f MRI) for three age groups of children,adolescents,and adults.We collected rs-f MRI data from 184 individuals(27 ADHD children and 31 TD children;32 ADHD adolescents and 32 TD adolescents;and 31 ADHD adults and 31 TD adults).The Brainnetome Atlas was used to define nodes in the network analysis.We compared three age groups of ADHD and TD subjects to identify the distinct regions that could explain age-related brain network differences based on degree centrality,a well-known measure of nodal centrality.The left middle temporal gyrus showed significant interaction effects between disease status(i.e.,ADHD or TD) and age(i.e.,child,adolescent,or adult)(P 0.001).Additional regions were identified at a relaxed threshold(P 0.05).Many of the identified regions(the left inferior frontal gyrus,the left middle temporal gyrus,and the left insular gyrus) were related to cognitive function.The results of our study suggest that aberrant development in cognitive brain regions might be associated with age-related brain network changes in ADHD patients.These findings contribute to better understand how brain function influences the symptoms of ADHD.
文摘This paper is sequel to the authors paper [18]. By using the generalized Burchnall-Chaundy operator method, the authors are aiming at deriving certain decomposition formulas for some interesting special cases of Kampe de Feriets series of double hypergeometric series F;.
文摘Very recently Atash and Al-Gonah [1] derived two extension formulas for Lauricella’s function of the second kind of several variables and . Now in this research paper we derive two families of transformation formulas for the first kind of Lauricella’s function of several variables and with the help of generalized Dixon’s theorem on the sum of the series obtained earlier by Lavoie et al. [2]. Some new and known results are also deduced as applications of our main formulas.
文摘In recent years Copper-64 in the chemical form of copper chloride ([64Cu]CuCl2) has been identified as a potential agent for PET imaging and radionuclide therapy. The aim of this research was to determine the biodistribution and the labeling of radio nanoparticle with 64CuCl2, the nanoparticles Cu(acac)2/F-TiO2 were mixed with 64CuCl2 (20-37 MBq), then the final solution was used to injected healthy Wistar rats to probe the absorption of nanoparticle inside tissue trough of the groups OH that are formed during the functionalization of the Cu(acac)2/F-TiO2. The “in vivo” evaluation after realize the images study in micro PET equipment, uptake of the radio-nanoparticle was observed in the digestive system in the healthy Wistar rats.
文摘基于目前基站空间分布无固定规律性这一现状,为了探究基站空间分布特性,提出一套测量方案,结合F函数(empty space function)及包络函数理论分别对英国3种不同区域的实际基站分布数据进行了分析并对比。当F函数自变量r足够小或足够大时,3个区域基站分布均接近较理想的泊松分布状态,当r分别达到一定数值时基站分布呈现聚集性的特点。同时,不同区域基站的聚集程度由其特有的地理环境和人口分布决定,基站分布密度与人口密度成正相关。两市区基站技术选型配比近似,郊区基站中涉及第3代移动通信技术的基站占主导。