关于丢番图方程x~2+27y~2=4p

分类讨论了方程x2 +2 7y2 =4p解的存在性 ,给出其有解的一个充要条件 .     

Security Analysis of Discrete Logarithm Based Cryptosystems

0 IntroductionNowthere are many well known cryptosystems based ondiscrete logarithms , such as the ElGamal cryptosys-tem[1]and the digital signature algorithm(DSA)[2]. Discretelogarithms have many advantages . Breaking the discrete log-arithm modulo pri mepappears to be somewhat harder thanfactoringintegern,and elliptic curve cryptosystems may usemuchsmaller keysizesthan RSA-basedcryptosystems of com-parable security.The discrete logarithmproblemover a group can be bro-ken down into a numb…     

计算机化简逻辑函数的算法研究

针对计算机化简逻辑函数普遍存在操作复杂、存贮容量大、运算速度慢等问题，该文用改进的重复包含算法寻找逻辑函数的质蕴涵，选择极值法求最小覆盖，并对循环函数进行处理。实验表明，这种算法可以减少存储容量、加快运算速度，而且可以增大算法的应用范围。因此，该算法在数字电子设计自动化中具有广泛的应用前景。     

关于M(x)=o(x)的一个初等证明

本文的主要结果为:设μ(n)是M?bius函数,x>0为实数,若M(x)=■,则M(x)=o(x),x→∞.完成了该定理的初等证明.     

对一种筛法的探讨

从筛法的本质出发,深入讨论一种标准筛法的有关性质,寻找其内在规律,最后得出一种差集非空的充分条件和一些比较实用的结论。     

居加猜想的一个等价命题

文章利用数论中的一些简单结果,建立了居加猜想的一个等价命题。     

Flow-induced release of adenosine 5′-triphosphate from endothelial cells of the rat mesenteric arterial bed

Adenosine 5-triphosphate (ATP) was released into the perfusate of rat isolated mesenteric arterial beds during each of two consecutive increases in flow. There was no significant difference between the amounts of ATP released on each occasion. Substance P was also released into the perfusate by increased flow, although its release was more variable. Removal of the endothelium of the mesenteric vessels with sodium deoxycholate led to a significant reduction (74%) in the amount of ATP released compared with the release before the endothelium had been removed. This suggests that the ATP released into the mesenteric arterial perfusate during increased flow arises from endothelial cells.     

Determination of erythrocyte pyrimidine 5′-nucleotidase activity by31P nuclear magnetic resonance: Comparison of normal controls and multiple sclerosis patients

Summary A technique to assay erythrocyte pyrimidine 5-nucleotidase activity in situ using³¹P nuclear magnetic resonance spectroscopy is presented. The assay is chemically specific, simple and applicable to untreated lysates. A comparison of enzyme levels in normal controls and in multiple sclerosis patients employing the assay yielded no significant differences between both groups. Difficulties encountered in the quantitative analysis of the assay using¹H-NMR spectroscopy are briefly discussed.