本文研究了具有两个Herman环的有理函数的拓扑性质。之前的研究中,Wang和Zhang从有理函数的拓扑性质入手,提出了构造具有一个Herman环有理函数的方法,结合周弘毅在2023年的研究,可以得到判断有理函数的拓扑等价类中是否有一个Herman环...本文研究了具有两个Herman环的有理函数的拓扑性质。之前的研究中,Wang和Zhang从有理函数的拓扑性质入手,提出了构造具有一个Herman环有理函数的方法,结合周弘毅在2023年的研究,可以得到判断有理函数的拓扑等价类中是否有一个Herman环的充要条件。基于他们的研究,本文进一步给出了具有次数大于或等于2的有理函数拓扑等价于具有两个Herman环的有理函数的必要条件。This paper studies the topological properties of rational functions with two Herman rings. In previous research, Wang and Zhang proposed a method for constructing rational functions with one Herman ring based on the topological properties of rational functions. Combined with Zhou Hongyi’s research in 2023, a necessary and sufficient condition for determining whether there is a Herman ring in the topological equivalence class of rational functions can be obtained. Based on their research, this paper further presents the necessary condition for a rational function with a degree greater than or equal to 2 to be topologically equivalent to a rational function with two Herman rings.展开更多
本文研究了有理函数复动力系统中 Hermmam 环存在的必要条件,次数大于等于 2 的有理函数 f.若存在 Herman 环 H 则 H 在ℂ的两个余集分支中至少有两个临界点 (计重数),并给出存在每个余集分支中恰有两个临界点且临界点落在余集分支的边...本文研究了有理函数复动力系统中 Hermmam 环存在的必要条件,次数大于等于 2 的有理函数 f.若存在 Herman 环 H 则 H 在ℂ的两个余集分支中至少有两个临界点 (计重数),并给出存在每个余集分支中恰有两个临界点且临界点落在余集分支的边界的例子。展开更多
This paper first delivers the similarities between the notion of equivalence as propounded by Eugene Nida and that by Theo Hermans. Then the paper explains the differences of these two notions from many different aspe...This paper first delivers the similarities between the notion of equivalence as propounded by Eugene Nida and that by Theo Hermans. Then the paper explains the differences of these two notions from many different aspects. To discuss both the similarities and differences, the paper aims to provide both translation workers and learners new perspectives in understanding the notion of equivalence more deeply.展开更多
All possible arrangements of cycles of three periodic as well as four periodicHerman rings of transcendental meromorphic functions having at least one omitted value aredetermined. It is shown that if p = 3 or 4, then ...All possible arrangements of cycles of three periodic as well as four periodicHerman rings of transcendental meromorphic functions having at least one omitted value aredetermined. It is shown that if p = 3 or 4, then the number of p-cycles of Herman rings isat most one. We have also proved a result about the non-existence of a 3-cycle and a 4-cycleof Herman rings simultaneously. Finally some examples of functions having no Herman ringare discussed.展开更多
Gene Pharming(一家荷兰公司)在与荷兰National Foundation for the Protection of Animals的法律纠纷中胜诉,后者要求Gene Pharming停止用转基因牛进行繁殖试验。Gene Pharming培育出一头名为Herman的转基因公牛,它含有人lactoferrin...Gene Pharming(一家荷兰公司)在与荷兰National Foundation for the Protection of Animals的法律纠纷中胜诉,后者要求Gene Pharming停止用转基因牛进行繁殖试验。Gene Pharming培育出一头名为Herman的转基因公牛,它含有人lactoferrin基因。展开更多
世界上首例转基因公牛 Herman 已可用于配种。这是荷兰议会在农业部长 Pier Buckman 的提议下决定的。但是,为了获准生产小牛,需改变试验目标。最初,Herman 的生产单位想研究携有外部乳肝褐质基因并在乳汁中表达对乳腺炎发病率的影响。...世界上首例转基因公牛 Herman 已可用于配种。这是荷兰议会在农业部长 Pier Buckman 的提议下决定的。但是,为了获准生产小牛,需改变试验目标。最初,Herman 的生产单位想研究携有外部乳肝褐质基因并在乳汁中表达对乳腺炎发病率的影响。与荷兰政府伦理委员会磋商后,由 Herman 转基因后代母牛所产的所有含人乳肝乳汁均用于治疗常见于艾滋病患者的人类细菌感染如脓毒症和肠道感染。展开更多
周宏毅在论文关于Herman环与临界点中给出了三次有理函数且其临界点严格位于Herman环的边界分支的例子。该构造中主要用到临界点都位于单位圆周且保持单位圆周不动的有理函数的存在性。本文给出了一般的有理函数临界点均在单位圆周且保...周宏毅在论文关于Herman环与临界点中给出了三次有理函数且其临界点严格位于Herman环的边界分支的例子。该构造中主要用到临界点都位于单位圆周且保持单位圆周不动的有理函数的存在性。本文给出了一般的有理函数临界点均在单位圆周且保持单位圆周不动的存在性证明。同时讨论了一般显示构造的方法。In A Note on Herman, Hongyi Zhou gave an example of a cubic rational function whose critical points strictly lie on the boundary of the Herman ring. The construction mainly relies on the existence of rational functions whose critical points are located on the unit circle and keep the unit circle invariant. In this paper, we provide a general proof for the existence of rational functions whose critical points are all on the unit circle and keep the unit circle invariant. Additionally, we discuss the general methods for explicit constructions.展开更多
根据交通流有序与无序运动交替出现的特性,提出通过混沌现象,研究跟驰模型的适用范围。用Matlab软件编制Gazis Herman Potts模型,以产生交通流,当敏感度取不同值时,研究交通流车队中前五辆车之间的车头间距变化过程,给出了相关的仿真结...根据交通流有序与无序运动交替出现的特性,提出通过混沌现象,研究跟驰模型的适用范围。用Matlab软件编制Gazis Herman Potts模型,以产生交通流,当敏感度取不同值时,研究交通流车队中前五辆车之间的车头间距变化过程,给出了相关的仿真结果。分析车头间距的仿真曲线及最大Lyapunov指数,得出当敏感度取值较大时,采用Gazis HermanPotts模型仿真车队运动,需要对其加以适当修正的结论。展开更多
文摘本文研究了具有两个Herman环的有理函数的拓扑性质。之前的研究中,Wang和Zhang从有理函数的拓扑性质入手,提出了构造具有一个Herman环有理函数的方法,结合周弘毅在2023年的研究,可以得到判断有理函数的拓扑等价类中是否有一个Herman环的充要条件。基于他们的研究,本文进一步给出了具有次数大于或等于2的有理函数拓扑等价于具有两个Herman环的有理函数的必要条件。This paper studies the topological properties of rational functions with two Herman rings. In previous research, Wang and Zhang proposed a method for constructing rational functions with one Herman ring based on the topological properties of rational functions. Combined with Zhou Hongyi’s research in 2023, a necessary and sufficient condition for determining whether there is a Herman ring in the topological equivalence class of rational functions can be obtained. Based on their research, this paper further presents the necessary condition for a rational function with a degree greater than or equal to 2 to be topologically equivalent to a rational function with two Herman rings.
文摘This paper first delivers the similarities between the notion of equivalence as propounded by Eugene Nida and that by Theo Hermans. Then the paper explains the differences of these two notions from many different aspects. To discuss both the similarities and differences, the paper aims to provide both translation workers and learners new perspectives in understanding the notion of equivalence more deeply.
基金supported by NSFC(Nos.11601422,11871394)NSF of Education Department of Shaanxi Provincial Government(No.18JK0770)Natural Science Basic Research Plan in Shaanxi Province of China(No.2019JM-419)
基金supported by CSIRDepartment of Science and Technology,Goverment of India through a Fast Track Project(SR-FTP-MS019-2011)respectively
文摘All possible arrangements of cycles of three periodic as well as four periodicHerman rings of transcendental meromorphic functions having at least one omitted value aredetermined. It is shown that if p = 3 or 4, then the number of p-cycles of Herman rings isat most one. We have also proved a result about the non-existence of a 3-cycle and a 4-cycleof Herman rings simultaneously. Finally some examples of functions having no Herman ringare discussed.
文摘Gene Pharming(一家荷兰公司)在与荷兰National Foundation for the Protection of Animals的法律纠纷中胜诉,后者要求Gene Pharming停止用转基因牛进行繁殖试验。Gene Pharming培育出一头名为Herman的转基因公牛,它含有人lactoferrin基因。
文摘世界上首例转基因公牛 Herman 已可用于配种。这是荷兰议会在农业部长 Pier Buckman 的提议下决定的。但是,为了获准生产小牛,需改变试验目标。最初,Herman 的生产单位想研究携有外部乳肝褐质基因并在乳汁中表达对乳腺炎发病率的影响。与荷兰政府伦理委员会磋商后,由 Herman 转基因后代母牛所产的所有含人乳肝乳汁均用于治疗常见于艾滋病患者的人类细菌感染如脓毒症和肠道感染。
文摘周宏毅在论文关于Herman环与临界点中给出了三次有理函数且其临界点严格位于Herman环的边界分支的例子。该构造中主要用到临界点都位于单位圆周且保持单位圆周不动的有理函数的存在性。本文给出了一般的有理函数临界点均在单位圆周且保持单位圆周不动的存在性证明。同时讨论了一般显示构造的方法。In A Note on Herman, Hongyi Zhou gave an example of a cubic rational function whose critical points strictly lie on the boundary of the Herman ring. The construction mainly relies on the existence of rational functions whose critical points are located on the unit circle and keep the unit circle invariant. In this paper, we provide a general proof for the existence of rational functions whose critical points are all on the unit circle and keep the unit circle invariant. Additionally, we discuss the general methods for explicit constructions.
文摘根据交通流有序与无序运动交替出现的特性,提出通过混沌现象,研究跟驰模型的适用范围。用Matlab软件编制Gazis Herman Potts模型,以产生交通流,当敏感度取不同值时,研究交通流车队中前五辆车之间的车头间距变化过程,给出了相关的仿真结果。分析车头间距的仿真曲线及最大Lyapunov指数,得出当敏感度取值较大时,采用Gazis HermanPotts模型仿真车队运动,需要对其加以适当修正的结论。
