查询词典 norm of vector

On the whole, we do as follows: Firstly, we list some conceptions and lemmas for later use. Secondly, we inducted the absolute value norm in the two-dimensional vector interspace, and also proved the two-dimensional vector interspace is a Banach Interspace. Thirdly, we define two-dimensional vector-valued functions on a interval by the definition of -fine partitions in part 1. Then, some sufficient and necessary conditions of integrabel are given, and discuss the property of the integral on two-dimensional vector-valued functions.

主要包括以下内容：在第一部分，我们介绍了本文所用到的几个基本概念和引理；第二部分，我们在二维向量空间中引入了绝对值范数，并且证明了二维向量空间是一个Banach空间；在第三部分中，通过第一部分关于-精细分划的定义，我们给出了在某区间上二维向量值函数积分的定义以及可积的充分必要条件，并讨论了二维向量值函数积分的一些性质。

For example, 13 means concatenation of first-order gradient and norm luminance as feature vector.

比如：13意味着第一顺序梯度和常规亮度在特征向量上的组合。

The property of the algorithms on linear problems is studied and the Broyden's methods have been proved that they are not descant. More precisely, the distances between the sequences obtained by solving the linear problems and the solutions of the linear problems do not decrease under any vector norm.

笔者研究了将该方法用于求解线性方程组时的内在性质，否定了一个自然的推测，指出它在解线性方程组时不是一个下降的算法，即所得到的点列与方程组的解之间的距离在任何向量范数意义下都不具有单调下降性。

After theoretic analyzing support vector machine technique, the equipollence of support vector classification and regression problems is proofed, and a uniformed expression of support vector machine problem is gotten. The noise stained case is studied emphatically, and the experiment shows that a better result will be obtained by assigning weight factor to fit noise distribute characteristic. A multi-multiplier minimal optimization algorithm for norm-1 problems is deduced, and a kind of improved Gilbert geometric algorithm for norm-2 problems is introduced, which is applied in regression problems successfully.

课题细致深入地讨论和研究了软测量模型的三个基本问题，首先是软测量模型的可实现性，即软测量模型存在唯一解的条件，以及知识利用的度量等一些相关的概念，体现出混合软测量模型在知识利用有效性上的优势；然后对模型不确定性的概念进行了讨论，研究了模型可靠性问题，得出测量精度与软测量模型可靠性之间的关系；最后讨论了软测量模型与传统软测量方法的关系，说明软测量模型是传统软测量方法的发展。

This paper proposes an improved minimum norm method based on the damage detection of the residual force vector.

摘 要：动力学模型修正技术对于建立系统精确的理论模型非常重要。

The norm and the angle made with the center line by the vector of the codeword are computed for each codeword off-line firstly, then the codewords are ordered according to the ascending order of their norm.

文章提出了一种改进的等范数最近邻码本矢量搜索算法，该算法预先离线计算好各码本矢量的2-范数和它与中心线的矢量夹角，再根据各码本矢量的2-范数进行升序排列。

The authors present a new algorithm in this paper. Firstly, a vector pointing from one polyhedron to the other is picked. Then the authors start to find an intersection plane of one polyhedron based on the scalar product of the norm vector of the plane and the picked vector.

就这一问题，给出了一种新的算法，其思想是取一个从一个凸多面体指向另一个多面体的向量，根据两个多面体中的面与这一向量的相对位置关系来寻找相交的平面。

The selection criterion for the upper limit of weighting vector norm is studied while using second-order programming to optimize beampattern for arbitrary sensor arrays.

研究了基于2阶锥方法对任意结构基阵波束优化时权向量范数约束上限的选取问题。

The norm of a quaternion is similar to that of a vector.

四元数的平均值与矢量的有点相似。

An extensive technique of tone shading, namely view shading, is introduced in this paper, in which color of an object is interpolated between cool tone and warm tone, based on the angle between surface norm vector and view vector. It is capable of enhancing the silhouette areas.

在分析tone shading类的艺术性绘制技术基础上，本文提出了一种扩展算法，根据物体表面法向量和观察方向的夹角，物体颜色在冷暖色调之间插值，该方法能够突出物体的轮廓区域。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。