关于广义四元数代数上矩阵的迹的一个等式

众所周知,相似矩阵的迹相等对于非交换代数和环上的矩阵不一定成立,有趣的问题是给定一个条件使得相似矩阵的迹相等对于非交换代数或非交换环上的矩阵成立。本文对于特征不是2的任意域F上定义的广义四元数代数上的两个矩阵A和B,给出如果A和B相似并且它们的主对角线上的元素在F中,那么它们的迹相等。     

Thermal behaviour of acidic salts of mixed tetravalent metals

The results of investigations on intercalated crystalline zirconium phosphate are described in the literature. The behaviour of crystalline phosphates containing both zirconium and titanium metal ions has not been investigated previously. Within these investigations, the thermal behaviour of such materials has been studied in the temperature interval 25–1000 °C by simultaneous recording of TG, DTG and DTA curves. The results are presented in this paper.

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Zusammenfassung Ergebnisse über Untersuchungen an in Schichten eingelagerten kristallinen Zirkoniumphosphat sind in der Literatur beschrieben. Das Verhalten kristalliner Phosphate, die sowohl Zirkoniumals auch Titanmetallionen enthalten, wurde bis jetzt nicht untersucht. Als Teil dieser Untersuchungen wurde das thermische Verhalten solcher Materialien im Temperaturbereich 25–1000 °C durch simultanes Registrieren der TG-, DTG- und DTA-Kurven näher bestimmt, dessen Ergebnisse hier dargelegt werden.

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完备非紧具非负曲率流形之拓扑结构

本文给出完备非紧具非负曲率的Ｒｉｅｍａｎｎ流形具有限拓扑型的一个简单证明     

关于C0半群的渐近展开

本文得到具有实际背景的一类Ｃ₀半群的渐近展开，它仅要求予解式满足一定条件．     

Ultrasound-assisted preparation of ACE inhibitory peptide from milk protein and establishment of its in-situ real-time infrared monitoring model

A scheme for preparing milk ACE inhibitory peptides by in vitro proteolysis and simulated gastrointestinal digestion was constructed. The ultrasonic assisted pretreatment was used to improve the enzymolysis of milk protein. The in-situ real-time infrared was used to establish monitoring model of enzymatic process. Results showed that under the conditions of single frequency 28 kHz, ultrasound time 40 min, ultrasound power density 20 W/L, milk protein concentration 34 g/L, batch ratio 2:4 and initial temperature 30 °C, the ACE inhibition rate of gastric digestion of enzymatic hydrolysate reached 67.20%, which was 22.87% higher than that of non-ultrasound samples. The results of secondary structure studies of proteins showed that after the ultrasonic treatment, the content of α-helix and β-corner reduced, and the content of β-folding and random coil increased. Compared with the control group, the ultrasonic treatment increased surface hydrophobicity and the content of SH while reduced the content of SS in milk protein, thus improving the ACE inhibitory activity of enzymatic hydrolysates. Furthermore, three quantitative prediction models of PLS, iPLS and Si-PLS for ACE inhibition rate of milk protease hydrolysates were established. And all these three different in-situ real-time prediction models had good predictive effect on the ACE inhibition rate of milk proteolysis products and gastrointestinal simulated digestion products.     

Improved sorting-based procedure for integer programming

Recently, Cornuéjols and Dawande have considered a special class of 0-1 programs that turns out to be hard for existing IP solvers. One of them is a sorting-based algorithm, based on an idea of Wolsey. In this paper, we show how to improve both the running time and the space requirements of this algorithm. The drastic reduction of space needed allows us to solve much larger instances than was possible before using this technique. Received: November 10, 1999 / Accepted: July 6, 2001?Published online March 27, 2002     

Thermal behaviour of acidic salts of mixed tetravalent metals

Mixed zirconium-titanium phosphate samples were irradiated in a gamma-radiation facility with a Co-60 source. The adsorbed dose was 10⁶ Gy. At this dose, a change in thermal bahaviour was found only for the samples intercalated withn-butylamine orn-propylamine. Further, it was found that the titanium catalysed the decomposition and the loss of organic molecules.

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Zusammenfassung Gemischte Zirkonium-Titanphosphatproben wurden in einer Gammabestrahlungskammer mit einer Co-60-Quelle bestrahlt. Die adsorbierte Dosis betrug 10⁶ Gy. Bei dieser Dosis konnte eine Veränderung im thermischen Verhalten nur für Proben mit eingelagertemn-Butylamin odern-Propylamin festgestellt werden. Weiterhin wurde gefunden, daß Titan die Zersetzung und die Abgabe der organischen Moleküle katalysiert.

     

一类浮游生物植化相克时滞抛物方程的稳态解

本文研究了水生生态系统中种群间能产生抑制毒素的Volterra竞争模型,用上下解的方法讨论了稳态解的渐近行为,得到了系统存在唯一全局稳定正稳态解的充分条件.     

空间杆系结构内力与变位的一种新解析法

本文以有限元法的思想为基础,引用Diracδ函数和Heaviside step函数,将梁的弯曲问题的初参数法推广应用到杆系结构,并据此改进超静定结构分析中的混合法,提出空间杆系结构内力与变位分析的一种新方法.采用本文提供的新方法分析杆系结构的内力与变位的问题,可使整个推导过程与所得解答更加简洁精确.