极值点

A new adaptive median filter algorithm based on extreme value is presented in the paper. According to whether gray value of arbitrary pixel is its neighborhood extremum, all pixels are divided into doubtful noise pixels and signal pixels.

提出了一种基于极值的自适应中值滤波算法，该算法根据图像中某点是否为邻域极值点将全部像素分为可疑噪声与信号两类。

Leading resistant factor into the necessary condition can also enlarge the quadratic convergence region near optimal solution so that it is very efficient to use the known flash calculations at one condition to iteratively compute another optimal solution at other conditions where pressure, temperature and mole fractions of components are close to known ones respectively.

在极值必要条件式中引入阻尼因子能扩大真解附近的平方收敛域，尤其在利用已知条件下的汽液平衡结果作初值直接用极值条件方程迭代计算压力、温度和组成变化不严重的相邻点的汽液平衡极值解方面效果十分显著，适合于加快组分模型的计算速度。

It introduces normal families, including equicontinuity, Arzela's theorem, Montel's and Marty's theorems, Zalcman's lemma; univalent functions, including Koebe's and de Branges' theorems; quasiconformal mappings, including conformal length, extremal length, geometric, analytic and metric definitions, quasiconformal extension, distortion theorem, quasicircle; iteration of rational functions, including fixed points, the Fatou and Julia sets, periodic points, Siegel disks, the Hausdorff measure and dimension, etc.

具体为：正规族，包括等度连续性、Arzela定理、Montel和Marty正规定则、Zalcman引理；单叶函数，包括Koebe定理和de Branges定理；拟共形映照，包括共形模、极值长度、几何、分析和距离定义、拟共形延拓、偏差定理，拟圆周等；有理函数的迭代，包括不动点、Fatou集和Julia集、周期点、Siegel盘、Hausdorff测度和维数，等等。在教学内容上充分体现综合性、前沿性。

On the basis of analyzing detailedly the correlative conclusions of the extreme value problem of two variable Function , this paper extends the essential condition and sufficient condition to multi-variable function by using the Taylor Formula 、Quadratic Form 、Hesse Matrix and so on,and gives a method to judge the extreme value of point whose vice-derivative doesn't exist by utilizing Lagranges theorem ,so that compensates for the blank above ,which turns idea that solve the extreme value of multi-variable function problem one by one into realities.

摘要本文在对二元函数极值问题的相关结论进行分析的基础上，用泰勒公式、二次型、海赛矩阵作为工具，将二元函数极值的必要条件和充分条件推广到多元函数的情形，而且还利用拉格朗日中值定理找到了一个判别不可导点处极值的方法，从而弥补了多元函数不可导点处极值无法判断的空缺。因而，使得用穷举判断的方法来解决多元函数的极值问题这一思路成为现实。

First it selects a 3×3 neighborhood.According to whether gray value of arbitrary pixel is its neighborhood's extremum,all pixels are divided into doubtful noises pixels and signal pixels.Then it constructs 8 templets of orientation gradient for each doubtful noise,makes the sure of the noises sets according to the magnitude of 8 values of orientation gradient.

该算法首先对含有噪声的图像取3×3邻域，判断某点是否为邻域极值将全部像素点分为可疑噪声与信号点集合；其次对每一个可疑噪声点在其3×3邻域内构造八个方向的梯度算子模板，通过比较8个方向梯度的大小，进一步确定其是否为噪声点；最后对噪声点进行邻域的中值滤波。

Explain how to draw the experimental curves. The advantage of using figure to expression experimental data is clearly,easy to compare, and easy to see the extreme value point and turning point, periodic rate and other properties in the data.

问题补充：说明如何绘制实验曲线实验数据用图形表示的优点是直观清晰，便于比较，容易看出数据中的极值点、转折点、周期性变化率以及其它特性。

Through this method,the integral gain varies with the average phase shift between tip speed ratio and power coefficient.

针对传统最大功率点追踪极值搜索法固定积分增益存在的不足，依据不同积分系数对系统的影响，提出了一种MPPT变增益极值搜索法，使积分增益随叶尖速比和功率系数之间平均相位移的变化而变化。

An equation belonging to this family is an inversediffusion everywhere except at local extrema, where some sta-bilization is introduced.

属于这一系列的方程在极值点以外的地方是一个逆扩散方程，这些在一些站点将被介绍。

The extrema of the seismic data are used to get the modulation function which operated with the original seismic data to get the high frequency part of the reconstruction data to rebuild the wide band data.

该方法利用地震资料极值点得到的调制函数通过与原地震资料的运算得到重建资料的高频部分，保留原地震资料的低频部分，得到重建的高频地震资料。

By whitening the covariance matrix of flat ambiguity, correlation between ambiguity components, the number of local extrema of cost function is reduced.

通过白化处理模糊度，减少模糊度搜索中指标函数的局部极值点，采用适当的编码和遗传操作使得在种群个体较少的情况下避免搜索陷入早熟。

By the time of its fall, most of the prisoners were writers who had written against the corruptions of the government.

到它被攻陷的时候，里面多数的犯人是写了反对政府贪污文章的作家。

The most obvious variation to ovum morphological character was that the color was changed from light green to sepiaceous in embryonic development, and all the ovums were almost hatched after 96h.

在胚胎发育过程中卵的形态特征最明显的变化是颜色从淡绿到深褐色，卵在发育96h后卵基本全部孵化。