图灵机设计问题解法的优化

图灵机设计问题的常规解法一般有多个状态和较复杂的δ映像函数．给出了三种优化的解题方法，与常规方法相比用较少的状态数优化了图灵机的设计，达到减少状态的冗余和简化δ映像函数的目的．     

关于Grzegorczyk第九问题

本文通过引进二重递归函数类的一种分层{Y_n}_(n∈∞),证明了借助于本原函数(后继函数、零函数和投影函数)以及原始递归和复合运算,如果仅增加有限多个二重递归函数作为开始函数,则不足以产生全体二重递归函数。     

基于有限递归和μ-算子的α-递归论

根据Ｂｌｕｍ，Ｓｈｕｂ和Ｓｍａｌｅ定义实数环上的计算模型中将递归和μ－算子限制在自然数上这一特点，提出了基于自然数上的递归定义和μ－算子。研究了在可允许序数α－上定义的可计算函数－弱α－递归函数的弱α－递归论的基本性质及其与α－递归论的差别，证明了每个弱α－递归函数是以自然数为参量关于取值α上的变量的多项式函数，并且每个弱α－递归可枚举集与自然数集的交集是递归可枚举的。     

λ－可定义函数的构造性解

λ－可定义函数的构造性解朱一清（东南大学计算机科学与工程系，南京２１００１８）根据Ｋｌｅｅｎｅ定理，凡λ－可定义的数论函数均是递归函数，反之亦然．因此，常借助于递归函数和递归定义来描述一个λ－可定义函数．一个λ－可定义的函数是λ－项所组成的集合中的一...     

有限制的通用模糊图灵机研究

给出了模糊图灵机的几种等价形式,包括具有分明转移函数的模糊图灵机(FNTMc)、模糊图灵机(FNTM)以及模糊多带图灵机.利用模糊图灵机,定义了模糊递归枚举语言与模糊递归语言,并给出它们的层次刻画,证明了不存在通用模糊图灵机;如果限制模糊集的隶属函数为单位区间[0,1]的固定有限子集D,对应的模糊图灵机称为限制型模糊图灵机,则存在通用的限制型模糊图灵机,而且这类图灵机可以以任意给定精度模拟其他模糊图灵机,从而通用模糊图灵机在逼近意义下是存在的.     

λ定义可计算函数时不动点算子的不必要性

λ-演算这种计算模型,是一种良好的数学工具,与递归函数密切相关.λ-演算中的不动点算子,增强了系统的表达能力,表达了递归函数中递归的性质,但同时也略有不足,因为常见不动点算子,都没有β-范式.介绍了一种方法,可以不借助不动点算子,利用Church数字系统的特点,用β-范式定义所有可计算函数.     

浅谈C语言函数的递归调用

函数的递归调用可以简化复杂的问题,使程序结构清晰,可读性强,本文通过具体实例并利用图示对递归函数进行分析和讲解,使学生能够很好地理解和掌握递归函数的使用方法。     

递归函数浅析

介绍了递归函数和函数的递归调用概念，分析了汉诺塔问题函数的递归调用过程，并对递归和迭代进行了简要的比较     

基于分子重组技术的DNA计算

DNA计算是计算科学和分子生物学相结合的新领域。目前关于DNA计算的研究主要是抽象的计算模型和简单的原理性试验。DNA剪接计算模型是以生物DNA分子重组技术为基础的文法系统。本文主要介绍DNA剪接计算模型的文法结构及计算方法,证明了DNA剪接模型可以计算所有图灵机可计算函数。     

一种图灵机识别语言算法的进一步描述

图灵机是作为一种可计算性的数学模型提出的，为计算机的发展奠定了理论基础。该文针对计算理论导引教材中一个图灵机算法实例的描述中不够完善的地方加以改进，从而保证了该图灵机描述的严谨性与可靠性。     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with     

Journal of Donghua University ( English Edition) Contents of Volume 31

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Brief Introduction to “Journal of Jilin University( Science Edition) ”

<正>"Journal of Jilin University(Science Edition)"is a comprehensive academic journal in the fields of science sponsored by Jilin University and administrated by the Ministry of Education of the Peoples Republic of China.The journal started publication in 1955.The original name at starting publication was"Journal of Natural Science of Northeast People University",which was changed into"Acta Scientiarum Naturalium Universitatis Jilinensis"in 1958 owing to the name change of the university.The present journal name has