一个包含Smarandache函数的方程

对于任意正整数n,我们用S(n)表示Smarandache函数,即S(n)=min{m:n|m!}.本文的主要目的是运用初等方法研究方程∑_(d|n)S(d)=n的可解性,并给出它的所有正整数解.     

沉积物中壬基苯酚类雌性激素化合物的加速溶剂提取方法研究

为了同时提取和检测沉积物中的雌性激素化合物对壬基苯酚(NP)、对壬基苯酚一乙氧醚(NP1EO)和对壬基苯酚二乙氧醚(NP2EO),对加速溶剂提取体系的各种条件和对壬基苯酚类化合物的硅烷基化反应条件等进行了优化。在丙酮和丙酮-二氯甲烷混合液(丙酮含量≥60%)介质中,这些化合物的硅烷基化反应很快达到反应终点。加速溶剂提取体系的最佳提取条件是120℃、8.4MPa、两次循环提取;最佳提取溶剂是二氯甲烷。与索氏提取和酸化悬浮液液提取比较,明显提高了提取率、重现性和准确性。平均添标回收率在89.3%~95.7%之间,相对标准偏差为2.3%~13.4%。本方法对壬基苯酚、对壬基苯酚一乙氧醚和对壬基苯酚二乙氧醚化合物的检出限分别为10、30、35ng/gdw(干重)。     

Isolation and Structure Elucidation of Nortriterpenoids from Schisandra rubriflora

Seven new highly oxygenated nortriterpenoids, rubriflorins D–J ( 1 – 7 ), were isolated from the leaves and stems of Schisandra rubriflora, and their structures were elucidated on the basis of extensive analysis of spectroscopic data. These new compounds feature the opening of ring A compared with related known nortriterpenoids isolated from the genus Schisandra and showed weak activity against HIV‐1.     

Mean Value on the Difference Between a Quadratic Residue and Its Inverse Modulo p

The main purpose of this paper is to use the generalized Bernoulli numbers, Gauss sums and the mean value theorems of Dirichlet L-functions between a quadratic residue and its inverse modulo p value formula. to study the asymptotic property of the difference （a prime）, and to give an interesting hybrid mean     

Poly[[diaqua(N,N‐dimethylformamide‐κO)manganese(II)]‐μ3‐sulfato]

In the title complex, [Mn(SO₄)(C₃H₇NO)(H₂O)₂]_n, each Mn^II ion has a distorted octahedral geometry formed by three O atoms of three different sulfate groups, one O atom of a dimethylformamide ligand and two water molecules. The sulfate groups act as tridentate bridging ligands connecting the Mn^II ions into a two‐dimensional layer structure which can be regraded as a 4.8² network.     

约束系统量子化中Dirac方法与Faddeev-Jackiw方法的等价性

对约束系统量子化中Dirac方法和 Faddeev-Jackiw方法进行了讨论，并对它们的运动方程、正则量子化的等价性进行证明.找出了两种方法中约束的对应关系. 关键词： Faddeev-Jackiw方法 Dirac方法 约束系统 正则量子化