A PHRAGMEN－LINDELOF ALTERNATIVE FOR A CLASS OF SECOND ORDER QUASILINEAR EQUATIONS IN R~3

ＡＰＨＲＡＧＭＥＮ－ＬＩＮＤＥＬＯＦＡＬＴＥＲＮＡＴＩＶＥＦＯＲＡＣＬＡＳＳＯＦＳＥＣＯＮＤＯＲＤＥＲＱＵＡＳＩＬＩＮＥＡＲＥＱＵＡＴＩＯＮＳＩＮＲ￣３￥ＬｉｎＣｈａｎｇｈａｏ（林长好）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＳｏｕｔｈＣｈｉｎａＮｏｒｍａｌＵｎ...     

三元相图及坐标变换的单纯形优化法测定铜(Ⅱ)-邻菲啰啉-铬天菁S三元络合物组成

本文用三元相图及坐标变换的单纯形优化法安排实验,测定铜(Ⅱ)-邻菲啰啉(Phen)-铬天菁S(CAS)三元络合物组成。通过两种方法,不同途径所得结果一致,络合比为3:3:2。     

Absolute value programming

We investigate equations, inequalities and mathematical programs involving absolute values of variables such as the equation Ax+B|x| = b, where A and B are arbitrary m× n real matrices. We show that this absolute value equation is NP-hard to solve, and that solving it with B = I solves the general linear complementarity problem. We give sufficient optimality conditions and duality results for absolute value programs as well as theorems of the alternative for absolute value inequalities. We also propose concave minimization formulations for absolute value equations that are solved by a finite succession of linear programs. These algorithms terminate at a local minimum that solves the absolute value equation in almost all solvable random problems tried.     

ON WINTNER TYPE GLOBAL EXISTENCE THEOREMS FOR CERTAIN INTEGRODIFFERENTIAL EQUATIONS

ＯＮＷＩＮＴＮＥＲＴＹＰＥＧＬＯＢＡＬＥＸＩＳＴＥＮＣＥＴＨＥＯＲＥＭＳＦＯＲＣＥＲＴＡＩＮＩＮＴＥＧＲＯＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＢ．Ｇ．Ｐａｃｈｐａｔｔｅ（ＭａｒａｔｈｗａｄａＵｎｉｖｅｒｓｉｔｙ，Ａｕｒａｎｇａｂａｄ４３１００４...     

The coradical of a Jordan (alternative) coalgebra and the quasiregular radical of its dual algebra

It is proved that the orthogonal complement to the coradical of a Jordan (alternative) coalgebra coincides with the quasiregular radical of the dual algebra.     

碳氢化合物与R152a的混合物替代R12的理论研究

碳氢化合物与Ｒ１５２ａ的混合物替代Ｒ１２的理论研究吴之春，马一太，吕灿仁，陈东（天津大学热能研究所天津３０００７２）关键词：碳氢化合物，制冷系统，混合替代工质一、引言随着ＣＦＣ替代工质研究的不断深入，人们逐步发现Ｒ１２的替代物Ｒ１３４ａ存在着许多不足...     

Testing the Gumbel Hypothesis Via the Pot-Method

We consider an i.i.d. sample, generated by some distribution function, which belongs to the domain of attraction of an extreme value distribution with unknown shape and scale parameters. We treat the scale parameter as a nuisance parameter and establish for the hypothesis of Gumbel domain of attraction an asymptotically optimal test based on those observations among the sample, which exceed a given threshold sequence. Asymptotic optimality is achieved along certain contiguous extreme value alternatives within the concept of local asymptotic normality (LAN). Adaptive test procedures exist under restrictive assumptions. The finite sample size behavior of the proposed test is studied by simulations and it is compared to that of a test based on the sample coefficient of variation.     

一种非共沸混合工质的循环特性分析

本文首先利用CSD方程进行了理论分析,得到了R290/R123/R600a物系的COP值、单位容积制冷量、冷凝和蒸发压力的相图;然后,在小型压缩式热泵实验台上进行了实际工况运行分析,发现该工质可以在较大的温度范围高效循环,这也是目前其它工质所不具备的特点。     

化学概念理解水平的确定与测查研究——以酸碱反应概念理解测查工具的开发为例

为测量学生酸碱反应概念的理解水平,并诊断学生的相异构想,基于RASCH模型开发了酸碱反应概念理解的测查工具。使用该测查工具对752名高中生进行测试,分析显示测试结果有一定的信度和效度。研究还表明,中学生对酸碱反应概念的理解水平随年级升高而提高,但在不同的理解水平上学生均存在较多的相异构想。