查询词典 extremum

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。

Convexity has been increasingly important in recent years in the study of extremum problems in many areas of applied mathematics.

近年来，凸性在许多应用数学领域的极值问题研究中已越来越重要。

In the early stage of the genetic algorithms, the three genetic mechanisms are used both in integer part and decimal part, so that the genetic algorithms have stronger global search ability, keep the population diversity efficiently and avoid falling into local extremum. In the later stage of the genetic algorithms, the three genetic operators are used in decimal part, so the genetic algorithms have stronger local search ability and fast convergence ability.

在遗传算法开始阶段，该编码算子进行整数部分和小数部分的遗传操作，使得遗传算法在早期具有很强的全局搜索能力，避免陷人局部极值；在后期进行小数部分的遗传操作，使得遗传在后期具有很强的局部搜索能力，能够很快地搜索到全局极值。

In this paper, a new edge detection method——method using extremum of first directional derivative is proposed, based upon a general gradient edge model.

文中通过傅里叶变换，在频率域，通过求垂直于边缘的一阶方向导数，并检测其极值点来确定边缘。

Edge detection ; first directional derivative ; extremum ; Fourier transform

边缘检测；一阶方向导数；极值；傅里叶变换

Edge lines are extracted automatically from image, by acquiring points of extremum of first directional derivative vertical with edge line with Fourier transform in frequency domain.

同时，参考一阶方向导数的数值来排除一些非边缘点（一阶方向导数的数值为常数者，零也为常数）。

Since the B-spline is a locally supported function, the smoothing formula can be strictly limited in a neighborhood of each point. The smoothing surface defined by the smoothing formula has the same convexity as that of the original image. Secondly, the edge points are detected by either computing the local extremum points of the directional derivative or computing zero-crossing of the second-order directional derivative of the smoothing surface. Finally, an example of an edge detector is given.

针对反卷积视觉模型的病态性，增加了适当的约束，给出了基于低松弛迭代格式的快速自适应滤波算法，对于一个N×N输入图象，由于变换核的局部支撑性质以及低松弛迭代格式的引入，使得快速自适应滤波算法的计算复杂度降为象素个数N〓的线性量阶N〓，就最小二乘算法的复杂性而言，优于不动点迭代算法的O以及基于FFT的预处理共轭梯度算法的O。

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。