三次系统指标为正的奇点个数

本文证明了平面动力体系ｄｘ／ｄｔ＝Ｐｎ（ｘ，ｙ），ｄｙ／ｄｔ＝Ｑ２（ｘ，ｙ） （ｎ≥２）的有限远奇点中指标为正的 个数最多有（ｎ＋１）个，而系统ｄｘ／ｄｔ＝Ｐｎ（ｘ，ｙ），ｄｙ／ｄｔ＝Ｑ３（ｘ，ｙ） （ｎ≥３）的有限远奇点中指标为正的 个数最多不超过（３ｎ＋１）／２ ＋２个（ｎ≥３为奇数）或不超过 （ｎ为偶数）．进而得出系统Ｅ３：ｄｘ／ｄｔ＝Ｐ３（ｘ，ｙ），ｄｙ／ｄｔ＝Ｑ３（ｘ，ｙ） 的有限远奇点中指标为正的个数最多不超过７个．     

关于矩阵条件数的一些结论

本文讨论了一些矩阵范数达到极小的充要条件,其主要结果如下:1.设?为m×n实矩阵,且具有n个线性无关的列,则求?广义逆谱条件数等于1的充要条件为?=cI,其中c为正常数.2.设?为n阶非异实矩阵,则矩阵A的求逆p-范数条件数等于1的充要条件为A=cpσ,其中c为正常数,σ是置换阵,其对角元都等于 1或-1.3.设?为n阶非异实矩阵,则矩阵4的求逆F-范数条件数等于1的充要条件为?=cU,其中c为正常数,U为正交阵.     

非对称度量空间上不动点定理

提出建立在非对称度量空间之间的上收缩映射和下收缩映射的概念.考虑到非对称度量的不对称性,进一步定义了非对称度量空间到自身映射的左不动点和右不动点.最后,给出了非对称度量空间上的两个不动点定理.     

Der Einfluß der Nebenniere auf die Kreislaufwirkung des Adrenalins

Summary Traces of nor-adrenaline restore the vascular action of adrenaline altered in epinephrectomized dogs to the reaction of the normal animal. Therefore it is claimed that the adrenals discharge one or several substances into the blood stream, which are necessary for the usual peripheral vascular action of adrenaline. Further investigations are in progress.     

国家自然科学基金面上项目资助额的地区分布规律

本文讨论了国家自然科学基金面上项目资助额的地区分布特点,发现基金面上项目资助额的地区分布与博士生人数的地区分布有很大的相关性,从而可以看出国家自然科学基金的资助在很大程度上取决于申请者所在地区具有的科研和教育水平。     

The crystal-like anatomical uniformity of the striate cortex

The visual field is topographically mapped onto the primary visual cortex (V1), forming a retinotopic map which is far more detailed for the foveal regions than for the periphery. We found that receptive field (RF) size in monkey V1 increases with eccentricity, and that a 1—2 m² V1 region contains roughly a complete set of machinery necessary to analyze a visual-field area whose size is about that of the RFs of the cells. This allows V1 to be anatomically uniform, and is in sharp contrast with the retina.     

Elaboration and Properties of Nanocomposite Structures Based on Crown Modified Platinum Nanoparticles

1 Results This paper presents the development of platinum nanocomposites structures based on organically modified c.a.2 nm core platinum nanoparticles.The chemical modification of the 4-mercaptoaniline functionalized particles by various in coming molecules is evidenced and precisely quantified.The particles can be dissolved like molecules in various solvents depending on the features of the new crown and X-rays shows that the interparticle distance is affected by the crown modification.These platinum n...