甘氨酸在麦芽糖水和乳糖水溶剂中的体积性质

利用精密数字密度计在等电点下测定了甘氨酸分别在不同组成的麦芽糖-水和乳糖-水混合溶剂中的密度．计算了甘氨酸的表观摩尔体积、极限摩尔体积和理论水化数．根据结构水合作用模型讨论了迁移偏摩尔体积的变化规律，并与葡萄糖-纯水和蔗糖-纯水体系做了比较．结果表明，在等电点时甘氨酸分子在糖-水混合溶剂中体积效应的大小与三者的相对比例紧密相关，但最重要影响因素是等电点下的疏水相互作用。     

A STACKELBERG DIFFERENTIAL GAMES SOLUTION TO A PROBLEM OF OPTIMAL INTERTEMPORAL INVESTMENT AND TAX RATE DESIGN

Using the Stackelberg differential games(SDG) theory, we quantitatively study a problem of optimal intertemporal investment and tax rate design. Under some appropriate assumptions, the open-loop Stackelberg equilibrium solutions are obtained. Equilibrium solutions show that: 1. The optimal strategies derived from differential game and unilateral optimal control approaches are different; 2. It is not always the best strategy for the government to use a constant tax rate over the whole time period; 3. The admissible size of tax rate adjustment may have great effect on the government's optimal strategy; 4. SDG approach has no significant effect on the firm's optimal investment strategy.     

一种汇率模型的波动分析

讨论一种受到一般随机干扰的汇率模型,介绍随机循环的含义及定理,使用随机李雅普诺夫函数得到了在一定的条件下受到各种随机干扰的实际汇率的波动范围。     

数学模型的一个应用

构造了两个数学模型，一个是摸球模型，另一个是搬砖模型。应用了这两个数学模型，对重复组合公式给出了一个新的证法。这种证法的特点是：直观、易懂、形象。比文献[1]给出的证法更简明。     

Characteristic absorption peak of the human blood measured with differential photoacoustic spectroscopy

A new highly sensitive spectroscopy technique- differential photoacoustic spectroscopy (PAS) is presented in this paper. The blood samples from 3 healthy persons, patients with leukemia, patients with pregnancy-induced hypertension (PIH), and 40 patients with nasopharyngeal carcinoma were measured by the PAS technique. The normalized, the first order, and the second order differential photoacoustic spectroscopy of the blood were gained. The results show that (ⅰ) weak absorption peaks or shoulder peaks, which could not be found using conventional photoacoustic spectroscopy, were determined by the first order and the second order differential photoacoustic spectroscopy which significantly improve the sensitivity of detection; and (ii) that two characteristic absorption peaks were found at the wavelength of 637 and 664 nm in all persons' blood samples by the differential photoacoustic spectroscopy technique. This experiment concludes that the differential photoacoustic spectroscopy technique is superior to the conventional photoacoustic spectroscopy technique in detecting photoacoustic spectroscopy of biological samples.     

基于模糊结构元的一阶模糊微分方程

研究了一阶单参数模糊微分方程和一阶微分方程模糊初值问题,利用刻画方程的解与刻画参数的关系给出了模糊微分方程解的存在条件,并利用模糊分析学的模糊结构元表述理论,给出了一阶模糊微分方程解的模糊结构元表达形式.     

一类非线性算子方程的迭代求解

利用锥理论和半序理论研究Banach空间中的非线性算子方程解的存在惟一性问题．改进和推广了某些已知结果．     

曲面的微分向量与面积微元——基于向量代数的启发性推导

本文引入微分向量的概念.进而用向量代数的方法简化了古典微积分中关于面积元素及体积元素计算公式的推导.并且给出曲面的面积元素的混合积形式等.     

一个单叶性判别法的推广

本文给出一个判别形如 f(x)=z/(1-a_2z+φz))的解析函数的单叶性判别法,推广了最近由 M.Nunkawa,M.Obradovi′和 S.O_(wa)所得到的结果.     

一类并行隐式Runge-Kutta公式

本文针对多处理机系统构造了一类并行隐式Runge-Kutta公式,对2级Runge-Kutta公式给出具有4阶精度的公式族,并证明了它们的收敛性,进行稳定性分析。数值例子表明,该公式可以有效地数值求解较广泛类型的常微分方程初值问题。