高效液相色谱法同时测定环境水体中的双酚A、辛基酚和壬基酚

建立了高效液相色谱-荧光检测法同时测定环境水体中双酚A(BPA)、辛基酚(DP)和壬基酚(NP)的方法。比较了液液萃取(LLE)和固相萃取(SPE)两种前处理方法,并设计了供复杂样品使用的净化柱。水样经萃取后,用轻柔氮气吹干,甲醇溶解,采用Phenomenex Luna C18色谱柱,以乙腈-水为流动相进行梯度洗脱,在激发波长275nm、发射波长300nm下进行荧光检测。结果表明,BPA、NP、OP的仪器检出限(S/N=3)分别为1μg/L、2μg/L和1μg/L。SPE法操作简单快捷,虽然NP、OP的回收率低于LLE法,但仍能满足对环境样品的测定要求。净化柱净化效果较好,能够进一步去除基质干扰,满足特别复杂水样的前处理。方法基于不同样品处理的浓缩倍数不同,三种物质的检出限在0.001～0.004μg/L之间。环境水样中BPA、NP和OP的加标回收率分别为86.2%～104%、61.6%～109%和81.5%～100%,相对标准偏差(RSD)分别为2.9%～6.4%、2.4%～5.6%和2.7%～6.9%。     

基于最大满意度的研究生录取问题

采用了模糊数学的知识和优化方法讨论解决了研究生的录取问题.首先对相关数据进行了合理的量化,然后定义了导师与学生之间的相互满意度,建立了择优录取和双向选择的优化模型,通过求解得到了理想的结果.     

Dynamics of organizational rumor communication on connecting multi-small-world networks

We study the dynamics of an epidemic-like model for the spread of a rumor on a connecting multi-small-world-network (CM-SWN) model, which represents organizational communication in the real world. It has been shown that this model exhibits a transition between regimes of localization and propagation at a finite value of network randomness. Here, by numerical means, we perform a quantitative characterization of the evolution in the three groups under two evolution rules, namely the conformity and obeying principles. The variant of a dynamic CM-SWN, where the quenched disorder of small-world networks is replaced by randomly changing connections between individuals in a single network and stable connection by star nodes between networks, is also analysed in detail and compared with a mean-field approximation.     

封锁嫌疑犯的数学建模方法

本文是对《数学建模及其应用》第一期“问题征解”的题目的一个解答。利用一对一的匹配模型建立了交巡警平台围堵嫌疑犯的基本模型,而对于何时完成有效的围堵,可以通过逐次逼近的方法解决。利用所设计的模型和给出的算法,得到了该问题的最优解。最后给出在具体假设下的一个优化围堵方案。     

基于迭代函数系统和编码空间的数字图像置乱方法研究

针对数字图像的安全保密问题 ,本文介绍了一种基于位置空间的数字图像置乱技术 .首先利用伴随于迭代函数系统 ( IFS)的编码空间对数字图像各像素赋予不同编码 ,然后通过对编码的特定置换使各像素位置改变以达到图像置乱的目的 .本文讨论了置乱变换对原图信息分散的规律以及变换的周期性 .理论和实践表明 ,该方法克服了图像信息量大造成的编码上的困难 ,置乱变换后原图的信息按照特定的规律分散开 ,增强了信息隐藏的不可感知性 .     

Dynamics of organizational rumor communication on connecting multi-small-world networks

We study the dynamics of an epidemic-like model for the spread of a rumor on a connecting multi-small-world-network (CM-SWN) model, which represents organizational communication in the real world. It has been shown that this model exhibits a transition between regimes of localization and propagation at a finite value of network randomness. Here, by numerical means, we perform a quantitative characterization of the evolution in the three groups under two evolution rules, namely the conformity and obeying principles. The variant of a dynamic CM-SWN, where the quenched disorder of small-world networks is replaced by randomly changing connections between individuals in a single network and stable connection by star nodes between networks, is also analysed in detail and compared with a mean-field approximation.