Let k be a positive integer,let h(z)■0 be a holomorphic functions in a domain D,and let F be a family of zero-free meromorphic functions in D,all of whose poles have order at least l.If,for each f∈P(f)(z)-h(z) has a...Let k be a positive integer,let h(z)■0 be a holomorphic functions in a domain D,and let F be a family of zero-free meromorphic functions in D,all of whose poles have order at least l.If,for each f∈P(f)(z)-h(z) has at most k+l-1 distinct zeros(ignoring multiplicity) in D,where P(f)(z)=f(k)(z)+a1(z)f((k-1)(z)+…+ak(z)f(z) is a differential polynomial of f and aj(z)(j=1,2,···,k) are holomorphic functions in D,then F is normal in D.展开更多
以稻壳和FeCl_(3)为原料,一步法制得生物炭(BC)负载纳米零价铁(BC@nZVI),并对其结构、形貌等进行了表征。以环丙沙星(CIP)为目标污染物,考察了BC@nZVI制备条件、BC@nZVI投加量、初始溶液pH、反应温度和无机阴离子等对BC@nZVI活化过硫酸...以稻壳和FeCl_(3)为原料,一步法制得生物炭(BC)负载纳米零价铁(BC@nZVI),并对其结构、形貌等进行了表征。以环丙沙星(CIP)为目标污染物,考察了BC@nZVI制备条件、BC@nZVI投加量、初始溶液pH、反应温度和无机阴离子等对BC@nZVI活化过硫酸盐(PS)去除CIP效果的影响,并探究了体系中起主要作用的自由基种类。结果表明,在热解温度为900℃、FeCl_(3)浓度为1.5 mmol/L、BC@nZVI投加量为0.4 g/L、反应温度为45℃、初始溶液pH约为6.2(未调整溶液pH)的优化条件下,反应180 min BC@nZVI活化PS对CIP的去除率高达98.53%。在该体系中加入SO_(4)^(2-)使CIP去除率明显下降,加入NO_(3)^(-)和Cl-对CIP去除率影响稍小。体系中存在SO_(4)^(-)·和·OH自由基,且SO_(4)^(-)·起主要作用。展开更多
In this paper we prove a zero-free region for L-functions LG(z,Х). As an application, an abstract prime number theorem with sharp error-term for formations is established.
文摘Let k be a positive integer,let h(z)■0 be a holomorphic functions in a domain D,and let F be a family of zero-free meromorphic functions in D,all of whose poles have order at least l.If,for each f∈P(f)(z)-h(z) has at most k+l-1 distinct zeros(ignoring multiplicity) in D,where P(f)(z)=f(k)(z)+a1(z)f((k-1)(z)+…+ak(z)f(z) is a differential polynomial of f and aj(z)(j=1,2,···,k) are holomorphic functions in D,then F is normal in D.
文摘以稻壳和FeCl_(3)为原料,一步法制得生物炭(BC)负载纳米零价铁(BC@nZVI),并对其结构、形貌等进行了表征。以环丙沙星(CIP)为目标污染物,考察了BC@nZVI制备条件、BC@nZVI投加量、初始溶液pH、反应温度和无机阴离子等对BC@nZVI活化过硫酸盐(PS)去除CIP效果的影响,并探究了体系中起主要作用的自由基种类。结果表明,在热解温度为900℃、FeCl_(3)浓度为1.5 mmol/L、BC@nZVI投加量为0.4 g/L、反应温度为45℃、初始溶液pH约为6.2(未调整溶液pH)的优化条件下,反应180 min BC@nZVI活化PS对CIP的去除率高达98.53%。在该体系中加入SO_(4)^(2-)使CIP去除率明显下降,加入NO_(3)^(-)和Cl-对CIP去除率影响稍小。体系中存在SO_(4)^(-)·和·OH自由基,且SO_(4)^(-)·起主要作用。
文摘In this paper we prove a zero-free region for L-functions LG(z,Х). As an application, an abstract prime number theorem with sharp error-term for formations is established.