范数

When G is not a commutative semitopological semigroup, Lau and Takahashi proved the ergodic theorem for right reversible semigroups of nonexpansive mappings by using the methods of invariant means.

而当G非交换时，Lau和Takahashi利用不变平均技巧，在假定G是右可逆，X具一致Frechet可微范数及RUC存在不变平均等条件下，给出了非扩张半群的遍历压缩定理。

The error coefficient is investigated by means of matrix norm; With results of computer simulation, the effects on position error equation are studied.

首次建立了三杆并联平动机器人机构的误差表达式；首次采用矩阵范数对误差传递系数进行考察；结合计算机仿真分析了影响该并联机器人位置误差的因素以及特征系数对该机器人位置误差的影响。

The euclidean norm of an n-vector x with real or complex components is defined as following.

凡具实数分量或复数分量的n-维向量x的欧氏范数被定义如下。

Both can be considered as cg-type algorithms for minimizing the Euclidean norm of the residual Ax b on a sequence of increasing Krylov-subspaces.

既可以被视为氢型算法，最大限度地欧氏范数的剩余斧B对一系列增加克雷洛夫-子。

Since the residual will not diverge with respect to the Euclidean norm, the new algorithm is safer than the product hybrid GMRES algorithm.

由于外循环的GMRES迭代能够保证残量按照Euclidean范数总是非增的，因此较积混合GMRES算法而言，右端积多项式预处理具有更好的安全性。

The generalized minimal error method for solving large linear systems minimizes the Euclidean norm of the error in the related generalized Krylov subspace, and is one of Krylov subspace methods for solving large linear system Ax = b.

广义最小误差方法是求解大型线性方程组Ax = b的一个Krylov子空间方法，使误差范数在Krylov子空间上达到最小，。

Recently, the authors of [14, 16, 17] considered the above problem and gave the sufficient conditions about the existence of single and multiple solutions by employing the norm-type expansion and compression theorem due to Krasnoselskii.

最近，文献[14，16，17]中，作者考虑了上述问题，并利用Krasnoselskii的范数形式的锥拉伸和压缩定理得到了单个和多个解存在的充分条件。

Vidicon collect simulate image in period of time and send to computer or DSP chip through video collection card digitlization,use computer to gain eyewinker and process digital image processing:using image area segment and boder measure to calculate area and perimeter;using image smoothness to wipp offthe infection of yawp;using dynamic background and image suited technology to overcome the infection of ray;calculation the parameter of eyewinker(area, perimeter,round measurement, proportion characer and invariant monent),using least norm to design the linearity classify parts,using image matching technologyto classify eyewinker,and to judge whether the eyewinker is harmful to diff background,if the eyewinker satisfy the character require of harmful object ,system will auto-stsrt alarm device. If there ia not have found any eyewinker, Vidicon will collect new simulate image and make processing.

本设计是将摄像机或高频头采集到的模拟图像经过视频采集卡数字化后送入计算机或DSP芯片，利用计算机对采集到的一定时间段内的图像进行异物获取，并对异物图像进行数字图像处理：利用图像区域分割和边缘检测以便进行面积和周长的计算，利用图像平滑去除噪声的影响，利用动态背景运动检测法和图像配准技术克服光线的影响，并通过异物的各类参数（如面积、周长、圆形度、比例特征和不变矩等）的计算，采用最小范数分类法设计了线性分类器，利用图像匹配技术对异物进行分类，从而判断异物是否有害，针对于不同的背景，若异物满足有害物体的特征要求，则认为物体有害，自动启动报警装置，如果没有发现有害异物则新摄入的图像将取代前一时间段的图像再进行图像处理。

This paper founded a fault diagnosis method using random signal Norm.

本文提出了一套利用随机信号范数进行故障诊断的方法。

Using Bruck抯 Lemma [2], Passty [7] extended to the results of [4,5] to a uniformly convex Banach space with a Frechet differentiable norm.

随后，Passty［7］又利用Bruck引理[2]将[4][5]的结果推广到具有范数Frechet可微的一致凸Banach空间中。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。