The studies of systems of variational inclusions problems and variational disclusions problems with applications

In this paper, we study existence theorems of solutions for systems of variational inclusions problems and systems of variational disclusions problems. From these existence results, we establish existence theorems of solutions for systems of generalized vector quasiequilibrium problems and systems of quasioptimization problems.     

L─fts中的导集和导算子

本文首先讨论了Ｌ─ｆｔｓ中ＬＦ集的聚点的分布；其次讨论了ＬＦ集的导集的一些性质，并给出了一般的Ｌ─ｆｔｓ中类似于杨忠道定理的结果；本文最后引进了导算子的概念，并用其刻划一般的Ｌ─ｆｔｓ．     

Filters,Antichains and Towers in Topological Spaces and the Axiom of Choice

We find some characterizations of the Axiom of Choice (AC) in terms of certain families of open sets in T₁ spaces.     

Existence theorems of systems of variational inclusion problems with applications

In this paper, we study the existence theorems of systems of variational inclusions problems. As consequences of our results, we study existence theorems of systems of generalized vector quasi-equilibrium problems, mathematical program with systems of variational inclusion constraints, bilevel problem with systems of constraints.     

Fuzzy半群中的Fuzzy素理想

探讨Fuzzy半群中Fuzzy素理想,Fuzzy 完全理想与Fuzzy理想的根的一些代数性质,证明Fuzzy半群中每一个Fuzzy理想是Fuzzy完全半素理想当且仅当它可表为一族Fuzzy完全素理想之交。     

理想完全互溶双液系相图的数学解析

理想完全互溶双液系是两个组分都严格遵守Raoult定律的体系，从数学角度看，其平面相图有着确定的函数关系。本文以Clausius-Clapeyron方程为基础，推导了该类理想体系的p-x、T-x及p-T相图的函数解析式。     

Problems of shock temperature measurements for metals by using optical radiometry method

Abstract

Several problems encountered in shock temperature measurements for metals using optical radiometry were discussed in detail. The influences of the driver/film gap upon the observed interface temperature history were formulated analytically, and the temperature relaxation behaviors at the film/window interface were also characterized. We found that the energy deposition at the driver/film gap would influence to varied degrees the film/window interface temperature profile unless the film deposited on the window can be regarded to have an infinite thickness. Modeling calculations showed that at shock pressures of a few megabars, the observed interface temperature of iron would be at least 300–600 K higher, relative to the prediction from the Grover model, provided that the gap and film were both 1 ～ 2 pm thick. Additionally, a metal-plate sample was used to measure a reliable shock temperature based on one-dimensional heat conduction model for the plate-sample(driver)/ pm-gap/window setup we proposed. Preliminary measured results for a meteoritic iron sample (kamacite, with Fe 93.65 wt.% and Ni 6.35 wt.%) using a disc sample showed that this method was practical and effective. Finally, the “heat-resistance model” proposed by Tang et al., and the experimental measurement of the heat conductivity for a transparent window (sapphire or LiF crystal) at megabar shock pressures were discussed and commented on as well.     

几乎伪补格的核理想与W-理想

讨论几乎伪补格的核理想与W-理想的一些性质.