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The introduction involves the development state of Assyriology, and tells the basic material and the season for this dissertation topic.

在引言中,简单的介绍了亚述学的发展状况、本文所采用的基本材料以及选题的缘由。

Theintroduction involves the development state of Assyriology, and tells the basic material andthe season for this dissertation topic.

在引言中,简单的介绍了亚述学的发展状况、本文所采用的基本材料以及选题的缘由。

The originalities of this dissertation are as follows:(1) Based on astigmatic method, a new 3-D profile parallel detecting method is proposed.

该检测方法利用微透镜阵列和像散元件构成并行像散光路,实现了对测量表面的全场同步检测。

The subject of the dissertation is Asymmetric Information problems analysis of insurance market in China.

本论文的选题是中国保险市场的非对称信息问题研究,因此论文的论述是紧紧围绕着这个论题展开的。

Using the game theory, this dissertation focuses on some asymmetrical information issues on the insurance markets.

本文运用博弈理论研究了保险市场上的若干非对称信息问题。

Though comparing Canny operator and center B spline dyadic wavelet, the following conclusion is proven in this dissertation: a Center B spline function has tight support and Canny operator hasn't. b Center B spline function asymptotic convergence to Gaussian function and the derivative of Center B spline function asymptotic convergence to Canny operator. c The derivative of fourth order center spline B function is more suitable as a optimal edge detector than Canny operator. d Center B spline function can balance the smoothing and approximation of original data, and the fourth center B spline function is the only optimal solution of two order smoothing problem. e The error between the valve of time-frequency uncertainty of the fourth center B spline function and the lower bound of time-frequency uncertainty does not exceed 0.143% of the lower bound. f The derivative of center spline B function can construct a stability dyadic wavelet and can give a fast algorithm for multiscale edge detection, but Canny operator can do neither.

作者给出了Canny算子与中心B样条二进小波严格的比较证明,得出如下结论:a中心B样条函数具有紧支集,Canny算子不具有紧支集。b中心B样条函数的极限收敛于高斯函数,中心B样条函数的导数收敛于Canny算子。c四阶中心B样条函数的导数比Canny算子更接近最佳边缘检测滤波器。d中心B样条函数比高斯函数更能兼顾对原函数平滑和逼近的折中要求,并且四阶中心B样条函数是二阶逼近问题的唯一最优解。e四阶中心B样条函数的时频测不准关系值与时频测不准关系下界的逼近误差不超过0.143%。f中心B样条函数的导数可以构成稳定的二进小波,存在快速的多尺度算法;而Canny算子不构成稳定的二进小波,无法给出快速的多尺度算法。

This dissertation is concerned with some problems regarding the asymptotic property of nearest-neighbor density estimator for α—mixing and nagetive quadrant dependent samples. The results extend the corresponding theorems in i.i.d.

本文主要考虑了最近邻密度估计在α—混合序列和两两NQD混合序列情形下的大样本性质,推广了独立同分布和其它相依情形下最近邻密度估计的大样本性质,如相合性、渐近正态性等。

Algorithm application of neural networks.Ⅲ Implementation of neuro-computers. The main contribution of the dissertation can be summarized as follows: 1 Hopf bifurcation of three kind of neural networks are discussed in detail, including type of discrete time delay, type of time delay with weak kernel and strong kernel as well as the proof of existence of bifurcation. Other problems such as asymptotic stability of bifurcation periodic solution, algorithm of determining the bifurcation direction, asymptotic stability and style of periodic solution are also studied. The average time delay is chosen as the bifurcation parameter, phenomena pertinent to system states of the continuous time delay network with strong kernel evolving from stable to oscillating, then back to stable again are observed.

论文的主要创新之处可以归纳如下: 1)针对目前国内外对神经网络的分岔研究较少的情况,论文中详细讨论了带离散时延神经网络、带弱核的连续时延神经网络、带连续分布时延且具有强核的神经网络的Hopf分岔现象,从理论上证明了Hopf分岔的存在性,并研究了分岔周期解的渐近稳定性,得到了确定周期解的渐近稳定性、分岔方向、周期解的渐近形式的算法;用平均时延作为分岔参数,发现带强核的连续时延神经网络中存在着系统的状态由稳定变化到振荡现象,当继续增加平均时延参数时,又从振荡变为稳定这一特殊的动力学现象。

This dissertation shows each unstable asymptotic equilibrium point is just the pattern that refuses to be recognized by combining the idea about constraint and projection with the continuous network LSSM and the discrete network BSB, eliminates some shortcomings of LSSM and BSB in the distribution of attraction domain. LSSM and BSB are then improved to be ideal associative memory and can be implemented by circuit.

将约束投影思想与连续神经网络LSSM和离散神经网络BSB相结合,说明了不渐近稳定的平衡点恰是实际中拒识模式,根除了LSSM和BSB在吸引域分布等方面的一些缺点,将它们完善成为理想的联想记忆器,并且它可用电路实现。

In this dissertation, we study the mean value problems of some special number theory functions, relation with some important functions and a series of asymptotic formulas about some hybrid functions.

本文研究了一些特殊数论函数的均值估计问题,以及它们与一些重要函数之间的联系,有关和式的一系列加权均值。

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