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Firstly, by constructing the Lyapunov function with a special structure, a prior estimate is obtained. Secondly, with the help of Green\'s function, the original problem is transformed into an equivalent operator equation, and the fixed point theory of contraction mapping in a Banach space guarantees the existence and uniqueness of the global solution.

首先,构造具有特殊结构的Lyapunov函数,得到解的先验估计;其次,借助Green函数将原方程等价变换成算子方程,Banach压缩映射的不动点定理保证了全局解的存在唯一性;最后通过常微分方程的定解,证明了主要结论,即平凡解全局渐近稳定。

There is no fixed point in this ceaseless fluctuation other than the eternal aprioristic categories of action.

在这不停的变动中,除掉行为的一些先验元范是永恒的以外,没有任何固定的要点。

Under some moderate conditions, the prior estimate of the solutions of the system is obtained. Making use of constructing Picard iterative sequence, Doob martingale inequality, Gronwall inequality, Borel-Cantelli lemma and some fundamental inequalities, together with the uniform Lipschitz conditions, the existence and uniqueness of the solution for stochastic functional differential equations with infinite delay is derived on the interval t0,∞.

在适当的条件下,得到了随机泛函微分方程的解的先验估计;再结合一致Lipschitz条件,通过构造Picard迭代序列,利用Doob较不等式、Gronwall不等式、Borel-Cantelli引理及一些基本不等式,得到该方程的解在区间[t0,∞]上是存在且唯一的。

This paper advances that Bayesian methods can be used to analyze small sample or single replication simulation output data, and presents some Bayesian methods and estimating method of confidence interval of Gamma distribution.

提出用Bayes方法对小样本或单次运行的仿真输出进行分析,给出了几种条件下的Bayes方法和伽玛分布置信区间的估计方法,提出了Bayes方法中先验分布的确定方法和准则。

This paper proposed a new algorithm for eyes detection in the images. First, in a known face image, the homomorphic filter was used to enhance the contrast of the image and the iterative thresh choosing algorithm changed the gray images into binary ones. According to certain priori knowledge, it could get the candidate field of the eyes.

提出了一种新的图像中人眼检测算法,在一幅已知的人脸图像中首先采用同态滤波算法增强图像的对比度,然后利用迭代式阈值选择法对图像进行二值化处理,根据传统的先验知识获得眼睛的候选区域。

Then it cuts roughly the face picture into a rectangle outline by using horizontal projection method and transcendent knowledge of human face. Finally, it standardizes face image.

文中先通过垂直投影得到人脸的左右边界,再根据水平投影得到人脸额头的粗位置,并结合人脸的长宽比例的先验知识粗定位人脸矩形区域,最后标准化人脸图像。

We have to carry the analysis so far only as is indispensably necessary in order to comprehend, in their whole extent, the principles of a priori synthesis, with which alone we are called upon to deal.

我们只有在需要它来更好得理解先验归纳的知识的时候才运用分析的方法。我们需要专注于归纳类的知识。

Chapter 4, consider the periodic initial value problem of a dissipative gen-eralized KdV equations. In section 4.2, the existence of global smooth solution of this problem is proved and the existence of the global attractors is obtained.

第三章,考虑高维的非齐次GBBM方程的初边值问题,建立与时间t无关的一致先验估计,证明了整体光滑解和整体吸引子的存在性。

The inverse of condition number is recommended as a good prior criterion for choosing response positions in least squares approach.

条件数的倒数在最小二乘法响应点的选取时可作为优选的先验判据,归一化残差可作为估算质量的后验判据。

The inverse of condition number is recommended as a good a priori criterion for choosing response positions in least squares approach.

条件数的倒数在最小二乘法响应点的选取时可作为优选的先验判据,归一化残差可作为估算质量的后验判据。

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