权重 Weight function

（重定向自Weighted）

权即由测量值精度的不同在平差计算中所取的权重不同。精度越高，权越大。

求权的基本公式为

$p_{i}=\frac{\mu^{2}}{m_{i}^{2}}(i=1,2 \ldots)$

式中， $\mu$ 是任意常数， $m_{i}$ 是中误差。由此可见，权与中误差平方成反比，即精度越高，权越大。应用上式求一组观测值的权 $p_{i}$ 时，必须采用同一个 $\mu$ 值。

由该定义式，可以看出，当 $m_{i}=\mu$ 时， $p_{i}=1$ ，所以 $\mu$ 是权等于1的观测值的中误差，通常称权等于1的权为单位权，权为1的观测值为单位权观测值。而 $\mu$ 为单位权观测值的中误差，简称为单位权中误差。

可以写出各观测值的权之间的比例关系：

$p_{1}:p_{2}: \dots :p_{n}= \frac{\mu^{2}}{m_{1}^{2}}: \frac{\mu^{2}}{m_{2}^{2}}:\ldots:\frac{\mu^{2}}{m_{n}^{2}} = \frac{1}{m_{1}^{2}}: \frac{1}{m_{2}^{2}}:\ldots:\frac{1}{m_{n}^{2}}$

可知，一组观测值的权之比等于他们的中误差平方的倒数之比。不论假设 $\mu$ 取何值，这组权之间的比例关系不变。所以，权反映了观测值之间的相互精度关系。就计算p值来说，不在乎权本身数值的大小，而在于确定他们之间的比例关系。 $m_{i}$ 可以是同一个量的观测中误差，也可以是不同量的观测中误差，即权可以反映同一量的若干个观测值之间的精度高低，也可以反映不同量的观测值之间的精度高低。

单词	weighted
释义	weighted /'weitid//ˈwetɪd/ 英汉-汉英词典 adj. 加重的；加权的；衡量过的 v. 加重量于…；重压（weight的过去分词）词组 \| 习惯用语 weighted average [数]加权平均数 weighted mean 加权平均数 weighted sum 加权和 weighted value 加权值 weighted graph 加权图；带权图 weighted factor 加权系数；加权因素英语例句库 be weighted with care 心事重重 a weighted average. 加权平均数 the balance of power is weighted in favour of the government. 力量对比对政府有利。 weighted the rules in favor of homeowners. 使规则有利于屋主 These tests weighted in favor of girls. 这些测验对女孩子有利。 The net is weighted to keep it below the surface of the water. 这个网加了坠因而可没入水面以下。 Circumstances are weighted in his favour. 情况对他尤其有利。 She was weighted down with her heavy bags. 她因背着她沉重的袋子而累弯了腰。 The stick had been weighted with lead. 这根棍子灌了铅增加了重量。 a mug half filled with coffee weighted down a stack of papers. 一只装有半杯咖啡的杯子压在一叠纸上。 the jugs were covered with muslin veils weighted with coloured beads. 水壶上盖有轻薄织物，织物上缀有彩色珠子。 speaking, reading, and writing should be weighted equally in the assessment. 评估时说、读和写应得到同等的重视。 Phenetic classification systems are based on many characters, and may also be weighted in favor of pqrticular characters. 表现型分类系统是建立在许多性状上的一种分类方法，尤其是利用一些主要的性状进行分类。 A theory of aeroelastic stability of hingeless rotor blade in hover by using the Galerkin weighted residual finite element method is developed in this paper. 采用伽辽金加权余数有限元素法发展了一种悬停状态下无铰旋翼桨叶气弹稳定性的分析方法。 The influence of different diffuse gradient direction in different lesions of human brain on diffusion-weighted image has become one of the focus researches of neuroradiology. 不同弥散梯度方向在磁共振弥散加权成像对人脑不同部位的表观弥散系数的影响成为研究的重点之一。 The results suggest that weighted average limit price and the concentration of limit price are related to the issue price, and the level of oversubscription is minor factor to price setting. 相较于国外投资银行，我国承销商在订价时并未大幅参考投资人圈购时所提供之资讯。 In the sagittal section of the T2-weighted image, hyperintense lesions are present in the tegmentum of the midbrain, pons, and medulla oblongata. 图B) 在T2 权重纵向截面图像，高讯号病变出现在中脑、桥脑、延脑背盖区。 At highest field strengths, the core of the clot may have low signal on T2-weighted images, due to the presence of intracellular methemoglobin or of deoxyhemoglobin. 高场强时，血块的中心在T2加权像上是低信号影，这是由于细胞内的高铁血红蛋白或还原型血红蛋白存在产生的。 43. AQUASOL is a high-performance epoxy resin water based paint. It is a two-component system , supplied in pre-weighted units ready to mix and use on site. 高雅素是一种高性能,水基环氧树脂保护膜。由两种成分组成,其重量预先按适当的比例配好,可随时混合,立即可用。The stick had been weighted with lead. 这根棍子灌了铅增加了重量。 These tests weighted in favor of girls. 这些测验对女孩子有利。 She was weighted down with her heavy bags. 她因背着她沉重的袋子而累弯了腰。 Circumstances are weighted in his favour. 情况对他尤其有利。 Phenetic classification systems are based on many characters, and may also be weighted in favor of pqrticular characters. 表现型分类系统是建立在许多性状上的一种分类方法，尤其是利用一些主要的性状进行分类。 The characteristic of MVP is the conversion from netlist to weighted undirected graph and its objective is to improve the efficiency of VLSI partitioner by avoiding partitioning netlist directly. MVP系统特点体现在VLSI线网到无向赋权图的转换，避免了剖分算法直接在VLSI线网上进行剖分，提高了VLSI剖分的效率。声明：以上例句、词性分类均由互联网资源自动生成，未经过人工审核，其表达内容亦不代表本软件的观点；若发现问题，欢迎向我们指正。原声例句亿万第一季 Billions Season 1 In law school, you were just as weighted down as the rest of us. 在法学院的时候你都还像我们这样心事重重的。 AP 听力 2014年9月合集 The coat weighted up to 52 pounds. 覆盖的羊毛重达52磅。小故事大纪实 You're not gonna feel heavy and weighted down. 不会感到肠胃有负担。 VOA常速英语（视频版）- 2022年合集 So, we weighted it down with something heavy on the end. 所以，我们用重物压在它的末端。剑桥学霸读书分享 And it's the fact that weighted most heavily in our decision to assign it a rating of low utility. 事实上，这一事实是我们决定给它一个低效用的评级时占比最大的原因。 CRI在线 2023年9月合集 After this reduction, the weighted average ratio will stand at around 7.4%. 下调后，加权平均比率将维持在7.4%左右。雅思写作备考指南 They're all weighted the same, so pay attention to all of them. 它们同样重要，所以都要注意。历年考研英语阅读真题（英语二） It is deeply uncomfortable - it's the emotional equivalent of wearing a jacket weighted with stones. 在内心深处，它令人不安，感觉如同穿着一件装着石头的夹克衫。当月 CNN 10 学生英语 2021年9月合集 This is when a boat tows a weighted net along the ocean floor. 这是指一艘船沿着海底拖着一个加重的网。 VOA Special 2018年3月合集 The darts are weighted so they fall off the moose and can be collected. 这些飞镖被施加了重量，因此从驼鹿身上掉落后可被收集起来。中文百科权重 Weight function （重定向自Weighted）权即由测量值精度的不同在平差计算中所取的权重不同。精度越高，权越大。求权的基本公式为 $p_{i}=\frac{\mu^{2}}{m_{i}^{2}}(i=1,2 \ldots)$ 式中， $\mu$ 是任意常数， $m_{i}$ 是中误差。由此可见，权与中误差平方成反比，即精度越高，权越大。应用上式求一组观测值的权 $p_{i}$ 时，必须采用同一个 $\mu$ 值。由该定义式，可以看出，当 $m_{i}=\mu$ 时， $p_{i}=1$ ，所以 $\mu$ 是权等于1的观测值的中误差，通常称权等于1的权为单位权，权为1的观测值为单位权观测值。而 $\mu$ 为单位权观测值的中误差，简称为单位权中误差。可以写出各观测值的权之间的比例关系： $p_{1}:p_{2}: \dots :p_{n}= \frac{\mu^{2}}{m_{1}^{2}}: \frac{\mu^{2}}{m_{2}^{2}}:\ldots:\frac{\mu^{2}}{m_{n}^{2}} = \frac{1}{m_{1}^{2}}: \frac{1}{m_{2}^{2}}:\ldots:\frac{1}{m_{n}^{2}}$ 可知，一组观测值的权之比等于他们的中误差平方的倒数之比。不论假设 $\mu$ 取何值，这组权之间的比例关系不变。所以，权反映了观测值之间的相互精度关系。就计算p值来说，不在乎权本身数值的大小，而在于确定他们之间的比例关系。 $m_{i}$ 可以是同一个量的观测中误差，也可以是不同量的观测中误差，即权可以反映同一量的若干个观测值之间的精度高低，也可以反映不同量的观测值之间的精度高低。英语百科 Weight function 权重（重定向自Weighted） A weight function is a mathematical device used when performing a sum, integral, or average to give some elements more "weight" or influence on the result than other elements in the same set. The result of this application of a weight function is a weighted sum or weighted average. Weight functions occur frequently in statistics and analysis, and are closely related to the concept of a measure. Weight functions can be employed in both discrete and continuous settings. They can be used to construct systems of calculus called "weighted calculus" and "meta-calculus". 近义、反义、联想词近义词 adj. heavy, adjusted 反义词 n. light, unadjusted 联想词 calculated有计划的;adjusted调整过的，调节了的;calculate计算;skew斜交的(不对称的;measured慎重的;calculating精明的;weighing称重量;proportional比例的, 成比例的;weigh权衡;balanced平衡的;normalized正火的; 英英词典 weighted adj. made heavy or weighted down with weariness weighted eyelids synonymous： leaden adjusted to reflect value or proportion votes weighted according to the size of constituencies a law weighted in favor of landlords a weighted average
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weighted /'weitid//ˈwetɪd/

权重 Weight function

Weight function 权重

近义词

反义词

联想词