单值映射对与集值映射对的公共不动点

在度量空间中,引进了单值映射对与集值映射对的调和概念,对调和单值映射对与集值映射对建立了公共不动点定理及相应的随机公共不动点定理。     

空间群O_h~7O~4T~2母分系数的计算

在群链G G_1 G_2中,把两个子群的IR(不可约表示)基相乘,然后把乘积基耦合成IR基,耦合系数我们称之为母分系数。本文把陈金全创立的本征函数法用于计算空间群的群链O_h~7 O~4 T~2的母分系数,计算的结果显示母分系数是满足正交关系,同时也说明此方法是适用的。     

下方图度量下的非紧模糊数空间

证明了非紧模糊数空间E^～在下方图度量下关于模糊数的序是可逼近的。本文给出的证明方法是构造性的，从而说明了模糊数值积分如M-积分和G-积分等是可计算的。最后给出了E^～中关于下方图度量的一些分析性质。     

非线性算子的若干性质及一类积分方程的正解

文中给出了非线性算子的若干性质，并利用其讨论了一类积分方程正解的存在唯一性。     

赋Orlicz范数的Musielak Orlicz序列空间的Gateaux可微点

该文给出赋Orlicz 范数的Musielak Orlicz序列空间中Gateaux可微点（光滑点）与Frechet可微点（强光滑点）的判定准则.在此基础上推出了该空间具有光滑性或强光滑性的充分必要条件.      

关于模糊预度量空间中的三角不等式

在L，R为一般三角模时，给出在模糊预一度量空间中三角不等式成立的一个必要条件，并用其给出模糊度量空间的一个不动点定理。     

L-拓扑空间的强拟半开集

在L-拓扑空间给出了强拟半开集和强拟半闭集的概念,并且讨论了它们的一些性质.     

空间应用的低温工质

介绍了低温流体在低温低压近临界区以及稀薄状态下的特殊性质,并详细介绍了几种低温工质的特点以及它们在空间技术中的应用。     

Boundednes of Singular Integral Operators On Some Atom Spaces

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Evaluating shielding effectiveness for reducing space radiation cancer risks

We discuss calculations of probability distribution functions (PDF) representing uncertainties in projecting fatal cancer risk from galactic cosmic rays (GCR) and solar particle events (SPE). The PDFs are used in significance tests for evaluating the effectiveness of potential radiation shielding approaches. Uncertainties in risk coefficients determined from epidemiology data, dose and dose–rate reduction factors, quality factors, and physics models of radiation environments are considered in models of cancer risk PDFs. Competing mortality risks and functional correlations in radiation quality factor uncertainties are included in the calculations. We show that the cancer risk uncertainty, defined as the ratio of the upper value of 95% confidence interval (CI) to the point estimate is about 4-fold for lunar and Mars mission risk projections. For short-stay lunar missions (), SPEs present the most significant risk, however one that is mitigated effectively by shielding, especially for carbon composites structures with high hydrogen content. In contrast, for long duration lunar () or Mars missions, GCR risks may exceed radiation risk limits that are based on acceptable levels of risk. For example, the upper 95% CI exceeding 10% fatal risk for males and females on a Mars mission. For reducing GCR cancer risks, shielding materials are marginally effective because of the penetrating nature of GCR and secondary radiation produced in tissue by relativistic particles. At the present time, polyethylene or carbon composite shielding cannot be shown to significantly reduce risk compared to aluminum shielding based on a significance test that accounts for radiobiology uncertainties in GCR risk projection.