应用地理信息系统技术的地貌气候单位线汇流模型

本文基于地貌气候单位线理论，结合地理信息系统的特点和优势，在计算机上根据地形图进行流域沟系图的绘制，并自动提取各种地貌参数，推导出一种地貌气候单位线汇流模型。经实例验证，本汇流模型算得的流域出口流量与实际观测值较为吻合。     

Feature of Iteration Convergence in Concurrent Design

A parameter, proportion of all work on every task in each stage, is introduced to build a new WTM. Based on this new WTM, this paper deeply analyzes the relationships between the eigenvalue and the convergence rate of the total work, and the relationships between the eigenvector and the total work. By comparative analysis between the existing WTM and new WTM, it is investigated that this parameter causes the increasing total work and decreasing convergence rate, and the existing WTM is just a speciality when this parameter becomes the maximum. Finally, the generality of the new WTM is tested by the design process of the camera.     

Qualitative Analysis of an Exponential Dynamic Neural Networks

The exponential dynamic neural network proposed.by T.D.Chiuch and R.M.Goodman in 1988 is investigated. A concise sufficient condition for the given standard patterns to bestable is presented. A one-step conversence radius of such a stable state is obtained. It is also shownthat there do not exist sporious stable states in the probabilistic sense.     

Feed-forward Neural Network Based onGaussNewton-NL2SOL Algorithm and Its Application

Though the feed forward neural network based on GaussNewton algorithm and its derivation will converge with order two, it is only effective toward little residual problem. In order to solve the little and large residual problems at the same time, NL2SOL algorithm is introduced and combined with the GaussNewton algorithm so as to form a feed forward neural network based on GaussNewton-NL2SOL algorithm. The application shows that this neural network can solve the residual problem properly and the convergence and stability of it performs well.     

Effective Method to the Renormalized Finite Quantity of the Meson Loop Propagator (I)

By using the Lorentz invariable coupling model of interaction between neutral meson and nucleon (antinucleon), Feynman convergence integral method is often used to deal with the finite quantity of one-loop correction scheme. On the basis of analyzing, discussing and researching the method, a new method is found. That is the large momentum integral limitation method. With the effective method, we obtain the integral convergence formulation for the finite quantity, by deducting-dimensionally calculating the finite quantity gained after renormalizing the meson loop propagator.     

维数分别为45和46的对称群的新刻画

利用有限群的阶和它的度数型分别对对称群S45和S46进行了刻画,得到了:对称群S45和S46均可3-重OD-刻画.     

一个P R P型共轭梯度法的收敛性

在PRP型共轭梯度法的基础上给出一个谱共轭梯度形式的算法,它不依赖于任何线搜索而具有充分下降性,并证明了算法在标准Armijo线搜索下全局收敛.     

鄂东南一次农业致灾暴雨的成因分析

利用常规观测和物理量场资料,从环流背景、水汽条件、动力条件和不稳定机制等方面对2010年4月21日鄂东南出现的农业致灾暴雨进行分析,结果表明,此次暴雨过程是在高空低槽、西南低涡、切变线、低空急流和地面暖倒槽的共同作用下发生的。低层充沛的水汽和源源不断的水汽输送为暴雨发生发展提供了有利的水汽条件;低层辐合、高层辐散和强烈的垂直上升运动为暴雨发生提供了有利的动力条件。850 hPa的温度露点差(T-Td)≤4℃的区域能提前12 h预告暴雨落区;1 000和925 hPa流场的中尺度辐合线能较好地预报出未来6 h强降水的落区。     

实数完备性六大基本定理的等价性证明

利用有限覆盖定理作为公理,按照A(有限覆盖定理)→B(聚点定理)→C(区间套定理)→D(单调有界定理)→E(柯西收敛准则)→F(确界原理)→A顺序来证明实数完备性六大基本定理之间的等价性,从而更加真实地体现实数完备性六大基本定理之间的相互依存关系。