Resolution and identification of the acidic fraction of a petroleum ether extract ofRadix Rehmanniae Preparata by an evolving chemometric approach

Summary An evolving approach is described for analyzing the acidic components of a petroleum ether extract of Radix Rehmanniae Preparata. The latter was extracted, separated and derivatized. The subsequent separation of the individual components was characterized by GC-MS. The two-way data were resolved into a pure chromatogram and a mass spectrum of each chemical component. The reliability and accuracy of the qualitative results were greatly improved and the degree of the chromatographic separation could be enhanced to a certain extent. This enabled the analysis of complicated practical systems by hyphenated instruments and these advanced methods.     

Global Existence for a Parabolic-hyperbolic Free Boundary Problem Modelling Tumor Growth

In this paper we study a free boundary problem modelling tumor growth, proposed by A. Friedman in 2004. This free boundary problem involves a nonlinear second-order parabolic equation describing the diffusion of nutrient in the tumor, and three nonlinear first-order hyperbolic equations describing the evolution of proliferative cells, quiescent cells and dead cells, respectively. By applying Lp theory of parabolic equations, the characteristic theory of hyperbolic equations, and the Banach fixed point theorem, we prove that this problem has a unique global classical solution.     

Mössbauer spectroscopic study on nanocrystalline LaFeO3 materials

Perovskite-type nanocrystalline materials LaFeO₃ with different crystal size were synthesized. These samples with different compacted pressure were investigated by Mössbauer spectroscopy at room temperature. The results showed that the LaFeO₃ crystal in size of 70nm possessed an antiferromagnetic structure, that of 12nm was the superposition of the weaker antiferromagnetic structure and the stronger superparamagnetic structure. The rate of interface atoms to crystal atoms and the hyperfine field in nanocrystals varied with the compacted pressure.     

用乒乓球化解浮力教学中的两个难点

1 实验:浮力方向总是竖直向上的 在初中物理浮力的教学中,浮力的方向总是竖直向上的,教材中没有专门的实验直观显示,学生虽能理解浮力的方向是向上的.但理解浮力方向总是竖直向上的就有一定困难.     

木耳高产栽培配方的数学模型及优化研究

崔文善，闫培生，张金政．木耳高产栽培配方的数学模型及优化研究．数理统计与管理，１９９７，１６（４），８～１１．本文采用回归正交设计方法，研究了泡桐木屑栽培木耳的配方组合与产量之间关系，并建立了数学模型。结果表明，以泡桐木屑为主料，各组分的适宜用量，以及它们之间合理组合，可显著提高木耳产量，降低生产成本，并具有较好的稳定性；其配方的优化方案为：泡桐木屑７７．６～８０．２％，麦夫１２．５～１４．８％，石灰２．４～２．７％，ＭｇＳＯ４１．３％，ＫＨ２ＰＯ４２．６％，糖１．０％。     

Criteria for monotonicity properties of Musielak-Orlicz spaces equipped with the Amemiya norm

Criteria for strict monotonicity, lower local uniform monotonicity, upper local uniform monotonicity, and uniform monotonicity of Musielak-Orlicz spaces over any σ-finite and complete measure space, endowed with the Amemiya norm are given. The fact that the spaces are considered over arbitrary σ-finite measure space is essential because, as it is shown in Example 3, the Musielak-Orlicz spaces need not be strictly monotone even if their restrictions to the nonatomic part and the purely atomic part are strictly monotone.     

拟圆的三个充要条件

设D是R2中的Jordan域,D*=R2＼D是D的外部,本文证明了拟圆的下面三个充要条件:(1)D是拟圆当且仅当D和D*都是弱拟凸域;(2)D是拟圆当且仅当D和D*都是弱Cigar域;(3)D是拟圆当且仅当D是弱一致域.     

由对苯二酚合成2,5—二甲氧基对苯二苄氯锍盐

以对苯二酚为基本原料，通过改进的甲氧基化、氯甲基化、锍化３个反应合成，得到（２，５－二甲氧基对苯乙炔）单体双锍盐２，５－二甲氧基对苯二苄氯锍盐，且产率达８４％，并对每步反应的合成条件及原因进行了解释，运用色谱／质谱联用仪和核磁共振仪对每步产物进行了表征     

Study on eight-pass dual-frequency laser interferometer with nanometer precision

A new dual-frequency laser displacement measurement interferometer with nanometer precision has been developed. An eight-pass optical subdivision technology is proposed to improve resolution based on commercial interferometers. A static positioning error measuring method has been used to examine the precision and repeatability of the laser interferometer. An optical resolution of 1.24 nm and an accuracy of nanometer scale have been achieved.     

Quasisolutions and dynamics of time-periodic nonquasimonotone reaction-diffusion systems

In this paper, using the upper-lower solution method, we investigate the properties of periodic quasisolutions for time-periodic nonquasimonotone reaction-diffusion systems, and present some existence, asymptotic behavior results for two ecological models.