风积砂路用性能试验研究

我国西部地区沙漠分布广泛．富产风积砂，本文通过室内击实试验研究了风积砂的最佳含水量和最大干密度；且通过静载荷试验，对风积砂的压实特性进行了研究．该试验结果将对风积砂的工程应用提供了一定的理论依据．本文还通过试验分析了风积砂与土工格栅的界面摩擦特性．为风积砂在加筋工程中的应用提供了一定的依据。     

Banach空间中非线性脉冲Volterra积分方程解集的紧性与连通性

研究了Banach空间中的非线性脉冲Volterra积分方程的Lploc解的紧性与连通性.     

R~2上完备性定理的等价性循环证明

给出了R2上五个完备性定理的循环证明,从理论上更详细地说明了定理之间的等价性.     

砂砾回填台背压实度标准试验研究

通过理论分析及现场试验研究得出了砂砾回填料压实度与变形模量、压实度与碾压遍数之间的关系．从而为合理确定砂砾回填台背的压实度标准提供了可靠的依据．经实体工程验证所建议的压实度标准合理可行．为减小砂砾回填桥台背沉降提供了参考．     

L~1中的极小化问题

本文用新的方法克服Ｌ１非自反带来的困难，证明了Ｌ１［０，１］中极小化问题的存在性。     

Banach空间中非线性脉冲Volterta积分方程的实例

给出了Banach空间中的非线性脉冲Volterra积分方程的一个实例,证明了它存在Lploc解,并且具备紧性与连通性.     

风积砂回填台背压实度标准试验研究

通过理论分析及现场试验研究得出了风积砂回填料压实度与变形模量、压实度与填料干密度之间的关系，从而为合理确定风积砂回填台背的压实度标准提供了可靠的依据．经实体工程验证所建议的压实度标准合理可行．可为我国西部地区风积砂筑路提供参考．     

目标流形为Heisenberg群映射的紧性问题

设W1,p(Ω,Rn)表示由目标流形为Heisenberg群映射构成的Sobolev空间,通常W1,p(Ω,Rn)没有紧性.研究W1,p(Ω,Rn)的弱紧性,首先在W1,p(Ω,Rn)中建立准范数,并证明准范数的存在性;其次证明在此准范数意义下W1,p(Ω,Rn)中的一致有界序列具有弱紧性.     

Geographic compactness vs. race/ethnic compactness and other criteria in the delineation of legislative districts

Several criteria have evolved in law and tradition to constrain the delineation of Congressional and State and local legislative districts, such as population equality, geographic compactness, race/ethnic compactness, and integrity of political boundaries. Among the various criteria, I focus on compactness, and in particular, the legal and mensural aspects. Following the passage of the Voting Rights Act in 1965, racial compactness has been employed more and more frequently as a primary criterion, and with reduced restraint compared with other criteria, except perhaps for population equality. In Thornburg v. Gingles (1986), the Supreme Court recognized racial/ethnic compactness and polarization in voting practices as prerequisites for newly established majority-minority districts. In Shaw v. Reno (1993), the Court reaffirmed the principle of geographic compactness as against racial compactness by noting that the shape of Cong. Dist. 12 of North Carolina was bizarre and that it was drawn solely on racial grounds. With this decision, race/ethnic compactness and, by extension, the broad interpretation of the Voting Rights Act have been put in conflict with geographic compactness as criteria. More recently, in Miller v. Johnson (1995), use of race as a predominant factor in district delineation, apart from compactness, was rejected. These developments should renew interest in and support for formal statistical guidelines in evaluating geographic compactness in redistricting plans. Many formulas for measuring compactness have been proposed and tested. Here the commonly used perimeter/circle measure and the circumscribed area/circle measure are compared by an examination of some simple geometric figures and 1990-Census-based C.D.'s. Some problems with these measures are noted, and a new measure, the CV/radii measure (the complement of the coefficient of variation of the radii of the district), is proposed and illustratively applied.     

I-FUZZY拓扑空间中半开集的性质

本文引入了拓扑空间的半开集、半邻域、半内部和半闭包,同时给出了连续性和几种紧性的定义并讨论了相应性质。