复亚半正定矩阵

给出了复亚半正定矩阵的概念，研究了它的基本性质及行列式理论，将Hermite阵的Schur定理，华罗庚定理，Minkowski不等式，凸性不等式，Ostrowski-Taussky不等式推广到了较广泛的复矩阵类，扩大了Minkowski不等式的指数范围，削弱了华罗庚不等式的条件。     

混合型一阶微分不等式的振动性

研究混合型微分不等式和混合型微分方程给出了(A)没有最终正解,(B)没有最终负解,(C)只有振动解的充分条件.并对常系数的(A)、(B)、(C)给出了相应问题的充要条件,     

Women's Changing Attitudes Toward Divorce, 1974–2002: Evidence for an Educational Crossover

This article examines trends in divorce attitudes of young adult women in the United States by educational attainment from 1974 to 2002. Women with 4‐year college degrees, who previously had the most permissive attitudes toward divorce, have become more restrictive in their attitudes toward divorce than high school graduates and women with some college education, whereas women with no high school diplomas have increasingly permissive attitudes toward divorce. We examine this educational crossover in divorce attitudes in the context of variables correlated with women's educational attainment, including family attitudes and religion, income and occupational prestige, and family structure. We conclude that the educational crossover in divorce attitudes is associated most strongly with work and family structure variables.     

柯西不等式的改进

对柯西不等式的一个改进下界作了进一步推广 ,并给出了它的若干应用例子     

THE PARTICIPATION DIVIDE: Content creation and sharing in the digital age

This paper looks at the prevalence of creative activity and sharing in an age when the barriers to disseminating material have been considerably lowered compared with earlier times. The authors use unique data to explore the extent to which young adults create video, music, writing and artistic photography, as well as the prevalence of sharing such material online. Findings suggest that despite new opportunities to engage in such distribution of content, relatively few people are taking advantage of these recent developments. Moreover, neither creation nor sharing is randomly distributed among a diverse group of young adults. Consistent with existing literature, creative activity is related to a person's socioeconomic status as measured by parental schooling. The novel act of sharing online, however, is considerably different by gender with men much more likely to engage in it. However, once internet user skill is controlled for, men and women are equally likely to post their materials on the Web.     

基于拥挤收费的动态出发时间选择

针对动态交通分配领域中往往假定所有车辆的出发时间是固定的不正确假设，探讨基于拥挤收费的出发时间选择问题的负效用函数，建立动态出发时间选择问题的变分不等式模型．结果表明，建立的变分不等式模型等价于动态用户最优出发时间选择问题.     

Jensen不等式在导出和证明几何不等式中的应用

本文给出 Jensen 不等式在导出和证明几何不等式中的应用,揭示出一些几何不等式的来历及寻求证明的技巧。     

Dimensions of occupational inequality and Duncan's socioeconomic index

Using the original 1962 Blau and Duncan data for white males, I compare relative amounts of inequality in the distributions of occupational prestige, earnings, autonomy, and job skills. Also assessed are the degree of status rigidity (or intercorrelations) among these four dimensions of occupational inequality and the simultaneous relations among these four dimensions in a father-to-son occupational mobility model. These findings are compared to those obtained with Duncan's socioeconomic index to determine whether additional information can be obtained when using independent measures representing the multiple dimensions of occupational inequality versus using the SEI alone. Only minor discrepancies are found, and these relate to autonomy and earnings.An earlier version of this paper was presented at the 1985 Pacific Sociological Association meetings.     

基于主体不平等的跨国界河流水资源分配的破产博弈研究

基于破产理论和讨价还价博弈,构建水资源分配的破产博弈模型。借鉴国际水法,构建主体在水资源分配谈判中的议价能力评价指标体系,将议价能力运用到破产博弈模型中,突出主体在水资源分配中的不平等性,减少水资源分配量与贡献、需求量和对水资源依赖程度的非对称性;结合主体的谈判破裂点,根据主体满意度函数的联动函数寻找水资源分配的最优解,使分配能同时满足个体理性和集体理性,并对澜沧江-湄公河流域进行实例研究。