Clarke导数与Dinin导数

本文讨论了Ｃｌａｒｋｅ导数与Ｄｉｎｉ导数的关系，这一结果为利用Ｃｌａｒｋｅ导数研究函数性质提供了新方法．     

一类参数设计问题的最优性条件

考虑协调多个半独立子系统的中心系统的参数设计问题，基于Ｃｌａｒｋｅ意义下的非光滑分析理论，对中心系统为非光滑多目标的一般情形，给出其非迭解的最优性条件，并对若干特例进行了讨论。     

严格预拟不变凸函数与严格不变拟单调映射

讨论了集值映射的严格不变拟单调性与Clarke次微分意义下不可微函数的严格预拟不变凸性.     

珠三角地区稻田周边杂草的群落分析

 对珠三角地区的中山、东莞、珠海和广州市的稻田周边杂草群落进行研究,调查群落的多样性和均匀度。结果显示,珠三角地区稻 田周边生境共有杂草25科,57种;中山稻田周边杂草多样性最低,均匀度最高,广州稻田周边杂草的多样性最高,但均匀度最低; 各地之间的群落结构存在显著差异。研究表明,稻田周边杂草群落多样性受工业化和农业集约化的影响;工业化和农业集约化程度 高,杂草群落多样性越低。     

Farkas引理的一个推广及应用

给出Farkas引理的一种推广，并将其用于不可微数学规划最优性条件的描述。     

关于局部Lipschitz函数的第一形变引理的一个注记

本文对弱P.S.条件的局部Lipschitz函数建立了伪梯度向量场和证明了第一形变引理,推广了[1、2]的部分结果。     

Leibniz and the post-Copernican universe. Koyré revisited

This paper employs the revised conception of Leibniz emerging from recent research to reassess critically the ‘radical spiritual revolution’ which, according to Alexandre Koyré’s landmark book, From the closed world to the infinite universe (1957) was precipitated in the seventeenth century by the revolutions in physics, astronomy, and cosmology. While conceding that the cosmological revolution necessitated a reassessment of the place of value-concepts within cosmology, it argues that this reassessment did not entail a spiritual revolution of the kind assumed by Koyré, in which ‘value-concepts, such as perfection, harmony, meaning and aim’ were shed from the conception of the structure of the universe altogether. On the contrary, thanks to his pioneering intuition of the distinction between physical and metaphysical levels of explanation, Leibniz saw with great clarity that a scientific explanation of the universe which rejected the ‘closed world’ typical of Aristotelian cosmology did not necessarily require the abandonment of key metaphysical doctrines underlying the Aristotelian conception of the universe. Indeed the canon of value-concepts mentioned by Koyré—meaning, aim, perfection and harmony—reads like a list of the most important concepts underlying the Leibnizian conception of the metaphysical structure of the universe. Moreover, Leibniz’s universe, far from being a universe without God—because, as Clarke insinuated, it does not need intervention from God—is a universe which in its deepest ontological fabric is interwoven with the presence of God.     

APPROXIMATE SUBDIFFERENTIALS AND NONSMOOTH ANALYSIS FINITE DIMENSIONS

Ioffe's approximate subdifferentials are reviewed and some of his resultsare generalized.An extension of the calculus of the approximate subdifferentials forthe sums to any finite number of functions is provided along with a generalizationof the Dubovitzkii-Milyutin theorem.The presentation also indicates some of thelimitations of nonsmooth analysis and optimization.Restriction to the class offunction which is suitable for most of the purposes in nonsmooth optimization issuggested.     

集值映射g(x)+Ω(x)切锥、法锥表示及calmness充分条件

给出一般集值映射M-1(.)=g(.)+Ω(.)的Clarke切锥、法锥及Bouligand切锥通过Ω(.)的相应切锥及法锥的表达式,讨论M-1的subsmooth及L-subsmooth性.最后利用它们给出集值映射M在给定点(y珋,x珋)处是calm的一个充分条件.     

新疆5种蒿属植物的脂肪酸成分研究

采用气相色谱法首次对新疆5种蒿属植物脂肪酸成分进行了分析．结果表明，湿地蒿含21种脂肪酸(鉴定了其中18种)；黄花蒿含21种脂肪酸(鉴定了其中19种)；龙蒿含19种脂肪酸(鉴定了其中17种)；白叶蒿含22种脂肪酸(鉴定了其中19种)；北艾蒿含19种脂肪酸(鉴定了其中17种)．多不饱和脂肪酸(PUFA)与饱和脂肪酸(SFA)相对含量比值显示，5种蒿的油脂都具有降血脂的功能．5种蒿所含脂肪酸中，人体必需亚油酸亚麻酸含量较高．探讨了5种蒿属植物脂肪酸成分的异同及可利用性．