机器更新决策规划中的强最优问题

在本文中，主要研究马尔科夫决策规划机器更新过程的平均目标“弱最优”“准强最优”“强最优”问题。文中把按数学期望意义下“平均”，总报酬的最优问题称为“弱最优”．同时，定义了“准强最优”“强最优”等标准。在以上三个最优的标准下，对于非齐次马尔科夫决策规划机器更新问题，提出并解决了“弱最优”，“准强最优”，“强最优”在全体马氏策略类Πｍ上相互等价。     

语言族的L-替换性与L-强替换性

本文定义了语言族的 L-替换性与 L-强替换性,并运用语言族 L-积分这一工具对 L-替换性及 L-强替换性进行刻划,分别得到了充要条件。     

Q-紧性与强T_2分离性

在不分明拓扑学中,紧性是被普遍关心的问题,而且作了较为深入的研究,得到了一系列较好的结果,如文献[1—5],本文目的是在文献[6]中提出的拓扑分子格理论的框架下,首先是借助于完全分配格中元的成分概念把不分明拓扑空间中的Q-紧性概念推广到拓扑分子格中;其次是对于完全分配格中的不可比分子在拓扑分子格中引入了强T_2分离性概念。     

Fine three-dimensional P-wave velocity structure beneath the capital region and deep environment for the nucleation of strong earthquakes

A detailed 3-D P-wave velocity model of the crust and uppermost mantle under the capitol region is determined with a spatial resolution of 25 km in the horizontal direction and 4-17 km in depth. We used 48750 precise P-wave arrival time data from 2973 events of local crustal earthquakes, controlled seismic explosions and quarry blasts. These events were recorded by 123 seismic stations. The data are analyzed by using a 3-D seismic tomography method. Our tomographic model provides new information on the geological structure and complex seismotectonics of this region. Different patterns of velocity structures show up in the North China Basin, the Taihangshan and the Yanshan Mountainous areas. The velocity images of the upper crust reflect well the surface geological, topographic and lithological features. In the North China Basin, the depression and uplift areas are imaged as slow and fast velocity belts, respectively, which are oriented in NE-SW direction. The trend of velocity anomalies is the same as that of major structure and tectonics. Paleozoic strata and Pre-Cambrian basement rocks outcrop widely in the Taihangshan and Yanshan uplift areas, which exhibit strong and broad high-velocity anomalies in our tomographic images, while the Quaternary intermountain basins show up as small low-velocity anomalies. Most of large earthquakes, such as the 1976 Tangshan earthquake (M 7.8) and the 1679 Sanhe earthquake (M 8.0), generally occurred in high-velocity areas in the upper to middle crust. However, in the lower crust to the uppermost mantle under the source zones of the large earthquakes, low-velocity and high-conductivity anomalies exist, which are considered to be associated with fluids, just like the 1995 Kobe earthquake (M 7.2) and the 2001 Indian Bhuj earthquake (M 7.8). The fluids in the lower crust may cause the weakening of the seismogenic layer in the upper and middle crust and thus contribute to the initiation of the large crustal earthquakes.     

图F_m ▽S_n的边色数和邻强边色数

对图G的一个正常的k边染色法f,若 e∈E(G),e = uv,{f(uw) | uw∈E(G)}≠{f(vw) | vw∈E(G)},则称f为G 的一个k 邻强边染色法,k的最小值称为G 的邻强边色数.V(Fm Sn) = {w}∪{ui | i =1,2,…,m}∪{vij | i =1,2,…,m;j =1,2,…,n},E(Fm Sn) = {wui | i =1,2,…,m}∪{uivij | i =1,2,…,m;j =1,2,…,n}∪{uiui+1 | i =1,2,…,m-1}.　　本文得到了Fm Sn 的边色数和邻强边色数.     

L光滑拓扑空间中弱映射的强形式

在L光滑拓扑空间中给出了L光滑强不定映射、强不定开映射、强不定闭映射及L光滑强半连续映射、强半开闭映射，并讨论了它们的等价刻画和相互关系。     

新时期高校科技产业管理模式的创新

高等学校是实施科教兴国战略的重要生力军,是建立创新体制的基础,是开展重大科技项目研究的重要场所,是高科技产业的源泉。因此,必须深化高校的改革,创新高校科技产业的管理模式,以适应实施科教兴国战略的需要。     

关于一种严格伪压缩映象Mann迭代序列的强收敛性

证明了在H ilbert空间中非空有界闭凸集上的严格伪压缩自映象有不动点,介绍了一种关于严格伪压缩映象的M ann迭代序列并证明了其强收敛于不动点,其结果把非扩展映象推广到严格伪压缩映象,从而推广了近代一些相关结果.     

Hilbert空间中一类变分不等式的近似解

提出了两种与预解算子有关的迭代序列,得到了Hilbert空间中一类变分不等式的近似解,并证明了迭代序列在各自条件下的强收敛性和弱收敛性.     

随机函数的多项式最佳逼近与线性回归模型的非线性推广

将泛函分析的逼近论方法运用于随机函数空间,而在此观点下,给出线性回归模型理论的非线性推广,且得到其回归(最佳逼近)系数与回归(最佳逼近)误差的强相合估计.