查询词典 existence of extremum

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。

The unsaturated and compacted soil triaxial test result under constant suction describes the unsaturated soil critical state surface in p-q-s three dimensional space: in p - q plane, the slope M of critical state line is independent of suction; the cross line of LC yield surface and critical state surface is a curve with extremum in three dimensional stress space, and its projection in p-s plane is located in quadrant 1 in triaxial compression state; its projection in q-s plane has asymptote, and there should also be asymptote in respect of the curve that stands for the function relationship between cohesive and suction.

基于局部变形测量的常吸力非饱和压实土三轴剪切试验结果，全面描述了非饱和土p—g—s三维应力空间中临界状态面的合理形态：在p—q平面，临界状态线斜率M是与吸力无关的物理量；临界状态面与LC屈服面交线在三维应力空间中是一条存在极值的曲线；该交线在p—s平面的投影曲线在三轴压缩应力状态下应位于第一象限；该交线在q—s平面的投影曲线应存在渐近线；反映凝聚力与吸力关系的函数曲线也应存在渐近线。

The homogenization method uses the asymptotic expansion of small parameters, and the effective properties of composite materials are extremum, which are different from the real properties of composite materials.

事实上，多孔材料物性参数测试结果与均匀化计算结果均存在一定差异，这种差异就是材料的尺度效应。

The analysis shows that the influence of plasma frequency on the attenuation constant of MPCA is increasing, and an extremum point is appeared.

结果表明，强磁场时等离子体频率对天线衰减常数影响增大，且有一极值出现。

A new adaptive threshold method is proposed ,which combines the extremum method with the threshold and the barycenter method .

又讨论了常用的各种光刀提取法的基础上，提出了一种光刀中心自适应阈值提取法。

Firstly, according to this character, primacy central point is detected by the exploring extremum method in the windows of 3×3 pixels. Then, basing on this central point, approximate normal line at ±45°、0°and 90°angle are drew.if the minimums of normal line is at central point and the difference between the minimums and the maximum in the normal line is more than the threshold, this point is considered to the edge point of image.

首先，在3×3象素的窗口中，如果中心值为最小值，则以该点为基础，以±45°、0°和90°方向作为近似法线带，然后判断该法线上的象素最小值是否在切点上（即是否在法线的中心点上），再通过检验切点与轮廓法线上亮度极大值的差值是否超过阈值，来判断切点是否为边缘轮廓上的点。

The compound pendulum of alterable centroid has extremum of period which can be searched for by the golden section method and the Fibonacci method under laboratory condition.

钟摆式复摆的质心可以变化，因此具有极小周期点位置，在实验室条件下，这个极值点可以采用黄金分割法和Fibonacci法来搜索。

Chapter 4 establishes the theory of convex fuzzy mappings: The concepts, such as Jensen's inequality, positively homogeneous, infimal convolution, right scalar multiplication and convex hull are introduced. The corresponding theorems are demonstrated by using the parametric representations of fuzzy numbers. In anti-fuzzy number space, the conjugate mapping of convex fuzzy mapping is concerned, and convexities of conjugate set and conjugate mapping of convex fuzzy mapping are proved. The notions of subgradient, subdifferential, differential with respect to convex fuzzy mappings are investigated, which provides the basis of the theory of fuzzy extremum problems.

在第4章中，建立了有关凸模糊映射的理论：建立了关于凸模糊映射的Jensen不等式、模糊正齐次映射、凸模糊映射的下卷积、右数乘和凸包等概念，利用模糊数的参数化表示，给出了相应的定理；在反模糊数空间，对凸模糊映射的共轭也作了探讨，证明了凸模糊映射的共轭集合和共轭映射都是凸的；最后对凸模糊映射的次梯度、次微分和微分等概念进行了研究，为模糊极值理论打下了基础。

First, We discuss the relationship between the width integral of convex body and dual quermassintegrals when i∈R, and we obtain Some inequalities and extremum properties.

我们获得了凸体i—次宽度积分的Blaschke-Santalo不等式，并建立了凸体i—次宽度积分Aleksandrov-Fenchel不等式的局部形式。

It rotates the point set and calculates the extremum of X coordinate, and finally gets the Convex Hull of the point set.

它充分利用了成熟的数据库技术，能够在比较短的时间内计算出海量平面点集的近似凸壳。

But this is impossible, as long as it is engaging in a market economy, there are risks in any operation.

但是，这是不可能的，只要是搞市场经济，是有风险的任何行动。

We're on the same wavelength.

我们是同道中人。