有序拓扑向量空间中有效点的存在性定理

1980年,H.W.Cordy引进K-半紧概念,深入地讨论了Banach空间中有效点的存在性.本文将K-半紧性推广到K-仿紧性,从而在较弱条件下获得一般有序拓扑向量空间中的有效点存在性定理.     

齐次群上的平均振荡问题

本文通过构造ｋ－容许覆盖，定义了齐次群上平均振荡空间，并得到该函数空间上的若干等价范数刻划，拓广了文［４］中的结果。     

空间光通信指令传输的抗干扰设计

设计一种用归零码及多重相关解调技术的传输方案，并给了所需的几种抗干扰单元电路，最后结合实验说明了此方案可提高不良环境下传输数据的置信率。     

STRONG DERIVATIVE AND ITS CONSEQUENCES

We introduce strong derivative, the corresponding Z-integrable and other related concepts. Also, we give an improved version of the fundamental theorem of calculus.     

K—半分层空间是闭映射的不变量

本文证明了：若Ｘ是Ｋ－半分层空间，ｆ是闭映射，则ｆ（Ｘ）是Ｋ－半分层空间，这一结果推广改进了Ｌｕｔｚｅｒ与高国士的有关结果。     

区域资源空间分配的数学原理

文章根据经济学的择扰分配原理和区域经济地理学的区划思想，提出资源在地域空间上合理配置的数学规划方法，并指出了应用此方法的有关问题及解决办法。在探讨方法论的同时，文章也得出如下结论：资源的空间分配法则不是域均衡，而是边际收益的空间统一。     

关于非平凡的黎斯算子

讨论一般巴拿赫空间上非紧的黎斯算子存在问题,说明各经典巴拿赫空间上确有这种非平凡的黎斯算子,给出一类空间,其上的根算子理想与严格奇异算子理想是不重合的。     

Spatial interpolation of HRTFs and signal mixing for multichannel surround sound

From the point of spatial sampling, spatial interpolation of HRTFs (head-related transfer functions) and signal mixing for multichannel (surround) sound are analyzed. First, it is proved that they are mathematically equivalent. Different methods for HRTFs interpolation are equivalent to different signal mixing methods for multichannel sound. Then, a stricter derivation for the signal mixing of multichannel sound and the law of sine for stereophonic sound is given. It is pointed out that trying to reconstruct lateral HRTFs by adjacent linear interpolation is wrong. And for accurate sound image localization, the conventional equation of adjacent linear interpolation of HRTFs is revised. At last, it is also pointed out that some methods used in the analysis of HRTFs and multichannel sound can be used for reference mutually.