有关边界层问题中一类奇异积分方程新的存在性结果

对边界层理论新结果中出现的一类奇异积分方程w（t）=∫1 t（1-s）（λ＋λs＋s）/w（s）ds＋（1-t）∫t 0s/w（s）ds,t∈（0,1）进行讨论，并得出了上述方程在λ∈（-1/2,0）上正解存在性的新结果。     

关于Diophantine方程的解

对于正整数a ,设S(a)是Smarandache函数。证明了 :方程S(1·2 ) +S(2·3) +… +S(x(x +1) ) =S(x(x +1) (x +2 ) /3)仅有正整数解x =1。     

浅论经济增长与物价水平的关系

从交易方程出发，初步分析了经济增长与物价水平的关系，得到了一些有益的结果。     

对评估勘探设计的数学方法探讨

本文介绍了模糊综合评判的基本原理和数学模型。并给出了在勘探设计评估中因素集、评价集的具体意义及具体的评估过程。最后指出了模糊综合评判在勘探设计评估中的优越性。     

Incorporation of Perception-based Information in Robot Learning Using Fuzzy Reinforcement Learning Agents

Robot learning in unstructured environments has been proved to be an extremely challenging problem, mainly because of many uncertainties always present in the real world. Human beings, on the other hand, seem to cope very well with uncertain and unpredictable environments, often relying on perception-based information. Furthermore, humans beings can also utilize perceptions to guide their learning on those parts of the perception-action space that are actually relevant to the task. Therefore, we conduct a research aimed at improving robot learning through the incorporation of both perceptionbased and measurement-based information. For this reason, a fuzzy reinforcement learning (FRL) agent is proposed in this paper. Based on a neural-fuzzy architecture, different kinds of information can be incorporated into the FRL agent to initialise its action network, critic network and evaluation feedback module so as to accelerate its learning. By making use of the global optimisation capability of GAs (genetic algorithms), a GA-based FRL (GAFRL) agent is presented to solve the local minima problem in traditional actor-critic reinforcement learning. On the other hand, with the prediction capability of the critic network, GAs can perform a more effective global search. Different GAFRL agents are constructed and verified by using the simulation model of a physical biped robot. The simulation analysis shows that the biped learning rate for dynamic balance can be improved by incorporating perception-based information on biped balancing and walking evaluation. The biped robot can find its application in ocean exploration, detection or sea rescue activity, as well as military maritimeac tivity.     

模糊划分矩阵在岩土参数概率分布中的应用

讨论如何在小样本条件下用已有的过程经验与试验资料确定岩土参数概率分布,用模糊划分矩阵与BAYES方法相结合,给出由小样本试验数据确定岩土参数的概率分布。     

寄给天国里的父亲

父亲，今天是女儿的生日，三十二岁。还记得么?三月的天居然渐淅沥沥的下起了小雨，女儿漫无目的的在街上游走，却在不知不觉中走到了咱们的老家。站在油漆剥落的大门外，一时间，模糊了所有的时间和空间，往事却那么执著的涌上心头。     

模糊混合聚类法在农药污染研究的应用

本文综述性地介绍了模糊混合聚类法的基本原理,并用商丘大吴庄均衡试验区的土壤乐果含量的实测资料,具体说明了模糊混合聚类法在农药污染研究中的应用过程。