The standard method to construct a finite field requires a primitive irreducible polynomial of a given degree. Therefore, it is difficult to apply for the construction of huge finite fields. To avoid this problem, we ...The standard method to construct a finite field requires a primitive irreducible polynomial of a given degree. Therefore, it is difficult to apply for the construction of huge finite fields. To avoid this problem, we propose a new method to construct huge finite fields with the characteristic p = 5 by using an Artin-Schreier tower. Utilizing the recursive basis of the Artin-Schreier tower, we define a nmltiplication algorithm The algorithm can explicitly calculate the multiplication of two elements on the top finite field of this tower, without any primitive element. We also define a linear recurrence equation as an application, which produces a sequence of numbers, and call the new pseudorandom number generator Abstract Syntax Tree （AST） for p = 5. The experircental results show that our new pseudorandom number generator can produce a sequence of numbers with a long period.展开更多
分布形态学(Distributed Morphology,DM)与主流最简方案(Minimalist Program,MP)对语言机能的内容、词项设计、语法架构设计有不同看法。本文从生物语言学三大核心课题——后成、界面和原子——的角度讨论MP的问题和DM的相对优势。DM更...分布形态学(Distributed Morphology,DM)与主流最简方案(Minimalist Program,MP)对语言机能的内容、词项设计、语法架构设计有不同看法。本文从生物语言学三大核心课题——后成、界面和原子——的角度讨论MP的问题和DM的相对优势。DM更侧重计算向界面的移交问题,有完整的外化方案,是真正的实现主义理论,其核心设计——抽象语素——导致词库论词项(vocabulary item,VI)三分与词项延插,使形态成为串联各模块,分配和调度各类任务、信息的架构性模块。而MP坚持的词库论词项因其生物性与社会性的矛盾,不可能是递归合并的项或狭义语言机能(Faculty of Language in the narrow sense,FLN)内容,并令句法计算沦为“按预设程序展开词项信息”的过程。DM的两类抽象语素词根和特征均是纯形式的句法原子,它们的合并既是无限的,也受界面读解的制约;抽象与具体语素的联系是计算与界面及行为系统的后成性联系。相反,MP固守句法中心论,不仅导致计算与界面的分裂和句法的外化成为无趣的陈述性关系,也拒绝了基因天赋与后成天赋统一的可能。总之,DM关于词项和架构的设计更能代表生物语言学的方向。展开更多
基金supported by Overseas Scholars Research Fund of Heilongjiang Provinicial Education Department
文摘The standard method to construct a finite field requires a primitive irreducible polynomial of a given degree. Therefore, it is difficult to apply for the construction of huge finite fields. To avoid this problem, we propose a new method to construct huge finite fields with the characteristic p = 5 by using an Artin-Schreier tower. Utilizing the recursive basis of the Artin-Schreier tower, we define a nmltiplication algorithm The algorithm can explicitly calculate the multiplication of two elements on the top finite field of this tower, without any primitive element. We also define a linear recurrence equation as an application, which produces a sequence of numbers, and call the new pseudorandom number generator Abstract Syntax Tree （AST） for p = 5. The experircental results show that our new pseudorandom number generator can produce a sequence of numbers with a long period.
文摘分布形态学(Distributed Morphology,DM)与主流最简方案(Minimalist Program,MP)对语言机能的内容、词项设计、语法架构设计有不同看法。本文从生物语言学三大核心课题——后成、界面和原子——的角度讨论MP的问题和DM的相对优势。DM更侧重计算向界面的移交问题,有完整的外化方案,是真正的实现主义理论,其核心设计——抽象语素——导致词库论词项(vocabulary item,VI)三分与词项延插,使形态成为串联各模块,分配和调度各类任务、信息的架构性模块。而MP坚持的词库论词项因其生物性与社会性的矛盾,不可能是递归合并的项或狭义语言机能(Faculty of Language in the narrow sense,FLN)内容,并令句法计算沦为“按预设程序展开词项信息”的过程。DM的两类抽象语素词根和特征均是纯形式的句法原子,它们的合并既是无限的,也受界面读解的制约;抽象与具体语素的联系是计算与界面及行为系统的后成性联系。相反,MP固守句法中心论,不仅导致计算与界面的分裂和句法的外化成为无趣的陈述性关系,也拒绝了基因天赋与后成天赋统一的可能。总之,DM关于词项和架构的设计更能代表生物语言学的方向。
