平方和

This algebraic fact follows because the sum of squared residuals never increase when additional regressor are added to the model.

这一数学事实成立，因为当模型加入更多回归元时，残差平方和决不会增加。

In the method, a optimization model of a ventilating network is put forward by taking the minimizing squared sum of algebraic sum of the ventilation pressure of all branches in a independent circuit about all independent circuits as object function, therefore a new algorithm of ventilation network optimization is obtained.

该方法通过使所有独立回路分支风压代数和的平方和最小化的方法，建立了通风网络解算优化模型，并用梯度法对该模型进行解算，获得了一种新的风网解算算法。

In the thesis , we give combinatorial proof of some q-identities using integer partition.In the thesis some vital identities with binomial coefficient are given with their combinatorial proof, and the q-analogues of some identities are offered with corresponding combinatorial proof using integer partition.

本文给出了一些重要的二项式系数恒等式的组合证明或组合解释，并从分拆的角度给出了一些q-恒等式的组合证明，其中突出的成果是给出了平方和恒等式的一个直接的组合证明并给出了偶数平方和与奇数平方和的q-模拟及组合证明。

The paper to analyzes because experiments "factor contribution rate".to conduct the research;Discovered "the pure factor from difference square" for the negative value is the statistic stochastic value result;When the factor function is not extremely remarkable,the factor contribution rate also is a negative value;By now should merge not the remarkable factor square the random error square,recomputation ANOVA as well as factor technical progress factor.

论文对析因试验中用于分析因子作用的"因子贡献率"进行研究；发现"纯因子离差平方和"为负值其实是统计量随机取值的必然结果；尤其当因子作用极不显著时，计算的因子贡献率常常也是负值；这时应该将不显著的因子平方和并入随机误差平方和，重新进行ANOVA以及计算因子贡献率。

It is proved that the sum of squared residual of data fitting using TLS is less than that using least squares method.

证明了全最小二乘法解对数据残差平方和小于一般二乘解得残差平方和。

Based on the order number 10, the quadratic sum of residual error is 533%, the extrapolating result is wrong. But with the order number 9, the quadratic sum of residual error is 0.673%, the result is right

对於表面特定温度为θ(0， t)的曲线，测得其0.0129cm处的温度变化规律反推，选取阶数为10时，剩余误差平方和为533%，外推结果错误，选取阶数为9时，剩余误差平方和为0.673%，外推结果正确。

This paper infer a series of recursive equation based on lease square estimation in order to reduce computing amount, include recurrence equation of regression coefficient, total dispersion square sum, residual square sum, regression square sum etc.

为了减少计算量，本文推导了基于最小二乘估计的一系列递推公式，包括回归系数、总离差平方和、残差平方和、回归平方和等的递推公式。

Finally making enterprises manage better.Because of insufficients in the traditional cluster method ,such as unusual number avulses of data, and kinds of level count difficult to define. The thesis has put forward a method of Restricted Minimum Variance Hierarchical Cluster. Its basic thoughts come from variance analysis .

针对数据中的异常数值，以及类水平数难以确定的问题本论文提出了一种带约束的最小离差系统聚类法(Restricted Minimum Variance Hierarchical Cluster，RMVHC)，其基本思想来自方差分析，即如果分类正确，则类内样品的离差平方和应较小，而不同类间样品的离差平方和应较大。

To decompose the sum of square of residuals Qε into sum of square of error QE and sum of square of variation of repeat observation QL.

对残差平方和Qε进行分解为误差平方和QE和重复观测变异平方和QL。

The experimental results showed that all characters accorded with the addi tiv e-dominant-epistatic model, the additive gene effect and dominant gene effect pl ayed an important role in most characters of 6 crosses, epistatic gene effects w ere significant in all crosses for the 6 investigated traits, additive generic g ene-effects were more important on the spikelets per panicle and spike lets density than its non-additive generic gene-effects (［h］+［j］+［l］), b ut the l atter were relatively more crucial on the days to heading and panicle length in the two tested lines.

结果表明：六个性状都符合加性-显性-上位性模型，加性效应对两个多小穗小麦品系各性状的遗传有重要作用，部分性状存在显著的显性效应，不同类型上位性效应对各性状有不同程度的影响；各性状之间各类基因效应平方和百分比差异较大，不同类型上位性基因效应平方和百分比大小因被测系、组合而异。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。