奇异积分算子对p幂可积函数的逼近常数的上界估计

本文探讨由正偶核确定的奇异积分算子对连续函数的逼近常数与对p幂可积函数的逼近常数之间的关系,并由此得到Fejér算子、Jackson算子和Vallee-Poussin算子对p幂可积函数逼近常数的上界。     

从数字观点看光的本性

本文从统计数学和模糊数学两个领域对光的本性进行了定性定量的综合分析，从而说明光波是光子随机运动规律分布的几率波，光的波粒二象反映了光的模糊性。     

治疗癌症的重粒子加速装置

重粒子是指1个原子核或者几个的介子,同电子、中子和质子相比,质量更大,所以称为重粒子,也叫作重子。所使用的重粒子是氦、碳、氖、硅和氩等已被离子化的原子核。 灭癌是人类的宏愿,过去在寻找治病的方法中,除了早期切除和服抗癌药物之外,还研究了BRM(生物反应修改)、温热疗法、X射线—γ射线辐照等     

掺杂离子导体的粒子交叠广义晶格模型及其电导的粒子尺度效应

提出了一种掺杂离子导体（ＤＩＣ）的粒子交叠广义晶格模型，由此模型，推导随机－电阻－网络（ＲＲＮ）理论中３种导电键各自组分的几率，并采用有效介质近似（ＥＭＡ）计算了ＤＩＣ系统的电导及其粒子尺度效应。     

Mn_2O_3超微粒子的制备及其光学非线性

本文合成了表面修饰的Mn2O3，超微粒子（UFP）有机溶胶，并采用简并的四波混频（DFWM）手段研究了Mn2O3有机溶胶的三阶非线性光学特性，得到了较大的非线性极化率X3．最后讨论了Mn2O3超微粒子的三阶非线性产生机制．     

Hydrostatic settling velocity of sediments

The settling of sediments is an accelerative process in which the concentration of the main sediments zone will heavily influence settling velocity, but the explicit relationship between the concentration and settling velocity has not been reported in literature. Here a theoretical function was built for the time dependent concentration and time dependent settling velocity of sediments ; then the entire settling process reflecting concentration was shown on the basis of sediments instant-settlement theory and mathematical method. Agreement of computed results and experimental data was found. Several governing parameters, including particle size,particle density,inltial suspended sediments concentration and suspension height, were discussed with a series of calculated velocity curves. The research indicated that (1) the presented concentration-velocity time relationship is rational, (2) settling process of the sediments group with variation of concentration consists of acceleration stage, uniform motion stage and deceleration stage, and (3) particle size, particle density and initial suspended sediments concentration have more influence on the settling velocity than the suspension height and water temperature.     

广义Morrey空间中奇异积分算子和极大算子的加权不等式

证明了广义极大算子和奇异积分算子在广义Merrey空间中的加权不等式，并且还得到了极大算子无权不等式的特征。