帝相斗争的分析——基于公共选择视角简

作为中国古代重要政治制度的丞相制度在中国政治历史上占据重要地位,尽管这一制度横跨将近两千年,且在各个朝代的称谓、职权、人员组成等方面各不相同,但是比较不同时期的丞相制度以及相权与皇权的相互关系,还是可以从中找到很多同一的东西,结合公共选择学派的知识,能从漫长的历史长河中窥探出皇权与相权斗争的一丝规律。     

关于 Diophantine 方程 x3±64＝2 Py2的整数解

利用初等方法得出了Diophantine方程 x3±64＝2 Py2无正整数解的两个充分条件。     

Hilbert''''s Sixteenth Problem and Its Generalization

1　Ｉｎｔｒｏｄｕｃｔｉｏｎ　ＤａｖｉｄＨｉｌｂｅｒｔｐｏｓｅｄｔｗｅｎｔｙｔｈｒｅｅｐｒｏｂｌｅｍｓｉｎｈｉｓｓｐｅｅｃｈａｔｔｈｅＩｎｔｅｒｎａｔｉｏｎａｌＣｏｎｇｒｅｓｓｏｆＭａｔｈｅｍａｔｉ ｃｉａｎｓｉｎＰａｒｉｓｉｎ 190 0 .ＡｔｒａｎｓｌａｔｉｏｎｏｆｔｈｅｔｅｘｔｏｆＨｉｌｂｅｒｔｐｒｏｂｌｅｍｓａｓｐｕｂｌｉｓｈｅｄｉｎｔｈｅＢｕｌｌｅｔｉｎｏｆｔｈｅＡｍｅｒｉｃａｎＭａｔｈｅｍａｔｉｃａｌＳｏｃｉｅｔｙｏｆ 190 3ｗａｓｒｅｓｔａｔｅｄｉｎＰｒｏｃｅｅｄｉｎｇｏｆｔｈｅＳｙｍｐｏｓ…     

Bear半单纯环的中心元与交换性

bear半单纯环(半质环)的交换性问题是结合环的交换性理论的一个主要内容．本对满足二元恒等式的半质环进行了讨论，在假定其中一个变量固定的情况下，给出了环中的元属于中心的几个条件，推广了献中的结果．     

整数环的某些扩环上的一些丢番图方程

本文用模型论和数论方法讨论整数环的某些扩环上一些丢番图方程素元解的问题.这里讨论的丢番图方程有三类:1、Pell方程x~2-dy~2=1,d是不等于零的有理整数.2、Mordell方程x~3+y~2=6.3、Fermat万程x~n+y~n=Z~n.证明了它们中某些具有素元解,有些不具有素元解,本文说明用模型论来讨论整数环的扩环具有一定的意义.本文所用的模型论方面的知识主要是超积的概念及一些基本性质,可参考文献〔1〕.     

矩阵变换在多项式中的应用

本文根据矩阵的理论 ,定义了矩阵的一种新变换 .通过对由多项式的系数所组成的矩阵进行这种变换 ,可使多项式的除法运算和两个多项式最大公因式的求法变得简单方便 ,并且还给出了两多项式整除和互质的充要条件     

天地元声:诗的原初生命形态

人类诗性意识原生于一种天赋的诗性创造力,原始思维特性决定原始人类的感觉力、想象力和情感性,是最早的诗性元素.在人类艺术思维成熟之前,诗的情感、意念曾寄身舞、乐、图腾等原始艺术,诗的话语方式也因最早是宗教礼仪活动的祭祀颂祷言辞,而与歌、谣等专裁情感的有韵文体来源不同.诗的这一文化身份对理解诗何以被奉为儒家人格修养的起点颇有启发,诗也因此拥有了自己相对完整的艺术身份.     

The Riemann hypothesis

This article introduces one of the outstanding problems of today-a legacy of Bernhard Riemann     

Role of pump prime in the etiology of cardio-pulmonary bypass associated acidosis

The development of metabolic acidosis during cardio-pulmonary bypass (CPB) is a well recognized but poorly explained phenomenon. It has been hypothesized that it is purely a development after the delivery of pump prime. A retrospective study was conducted at our hospital on 68 patients who underwent elective coronary artery bypass grafting (CABG). Sampling of arterial blood was performed at three time intervals: (T₁) Baseline, prior to induction; (T₂) 5 minutes after initiation of CPB and prior to administration of cardioplegia solution; (T3) during rewarming prior to weaning the patient off CPB. Measurements of Na⁺, K⁺, Cl⁻, pH, pCO₂, HCO₃ ⁻, Base excess, Anion gap, Strong ion difference at each collection point were performed. Results were analyzed in a quantitative manner. On delivery of pump prime, all patients' developed metabolic acidosis. However, it is very important to distinguish the metabolic acidosis as their management varies. Anion gap has been found to be useful in managing peri-operative metabolic acidosis.     

大偶数表为两个素数之和（下）

In the paper: the representation of large even integer as a sum of two primes is proved to be right independently by each of W-progression ∑∞n=1(1)/((n+1)(n-1)!)of the discovery and the prime theorem. It is induced as two following problems which are solved for getting results of ration: Is there a function of f(2n) to be only dependent upon 2n or not? And it can express a number of group of prime solutions on representation of even integer as a sum of two primes. In one－dimensional space, the prime theorem is led into odd sequence integer to find P(G)～(2 )/(log n).P(G) is regarded as a data handling tool for setting a mathematical model of random sampling, get: P2n(1，1)n＞22n-P2=P1=f(2n)～(2nlogn/2)/(log2nlog2n)(2n→∞). The prime theorem π(x) is generalized to the two-dimensional space: π(x,y). A mathematical model of average values is set up by π(x,y), get: P2n(1，1)2n＞22n=P1+P2=f(2n)2～(2n)/(log22n)(2n→∞). But for expressing a number of group of prime solutions of even integer，the laws of values of principal steps of the two different functions f(2n) and f(2n)2 are unanimous. Thus, the proof of different ways lead to the same result and determines a forceful declaration: Goldbach’s conjecture is proved to be a right theorem.