平方和

几类数的平方和问题

The problem of quadratic sum of some classes of numbers

而且，作者还发现双曲线和指数回归模型的结果不能严格地满足平方和分解定理，反比例回归模型则能精确满足。

Both exponential and hyperbola curve regression model can 't satisfy the quadratic sum decomposition theorem strictly , but the inverse proportion regression model can satisfy it well .

关于模p原根的平方和

On the square sum of the primitive roots mod p

n进制数中位数码之平方和及其计数函数均值计算

Square sum of positional codes in the n-nary and related counting function

基于相对误差平方和的BP算法

The BP Algorithm Based on the Square Sum of the Relative Error

证明了资料矩阵的总能量可用奇异值的平方和来表达，以及P波到达的径向能量最大值在第一奇异向量方向出现。

Therefore the maximum of the radial energy during the P-wave arrive appears in the direction of the first singular vector .

同时发现PAN固化层厚度的平方和时间呈良好的线性关系。

The square of gel thickness was linear with coagulation time .

我接下来要求b的平方和h的平方，的和的平方根对不对？

I want to then do , I need to find the square root b squared plus h squared , right ?

然后将产品的图像模型与其CAD理论模型之间的残差平方和定义为优化目标函数，采用黄金分割方法搜索其极小值；

Then deviation square sum between product 's image model and CAD model is defined as optimized object function .

基于预测平方和PRESS准则选取预报因子的向前、向后算法及其应用

Forward and backward algorithms for selecting predictors on the basis of the criterion from prediction sum of squares and their application

本文提出了基于预测平方和（PRESS）准则选取预报因子的逐步算法。

In this paper , the stepwise algorithm for selecting predictors on the basis of the criterion from prediction sum of squares ( PRESS ) are discussed .

最小截平方和（LTS）估计技术及应用

Technique of least trimmed squares ( LTS ) estimation and its application

当P较大时，此算法非常节省计算量，不仅直观，简单，适用于加权情况，而且便于计算其残差平方和、回归系数的标准误、回归系数的方差和残差的估计。

The iterative arithmetic not only saves time and can apply to weight regression , but also is easy to compute residual sum of square , standardized error , variance of coefficient and estimators residual .

本文提出一种以组内平方和之和最小为标准的新的动态聚类方法，简称为最小组内平方和法（MinSSw法）。

A new dynamic clustering method which minimizes the total sum of squares within groups , the MinSS_W method , along with its algorithm was developed .

利用AID（AutomaticInteractionDetection）预测法，进行了编程计算，得到了预测规则，并给出了预测的偏差平方和及降水pH值的数学期望估计值；

Based on the AID ( Automatic Interaction Detection ), a forecast method and the error square sum of forecast are given . Then the mathematical expectation of the pH value is estimated .

一个关于附加平方和ESS的公式

A Formula for Extra Sum of Squares

传统的K-MEANS算法以数据点之间的欧氏距离为测度，误差平方和为目标函数。

The traditional K-MEANS take Euclidean distances of each observation as the measurement , and error square sum the objective function .

同时，用主成分分析（PCA）作为排序的方法和系统聚类中的离差平方和法与类平均法，对东灵山植物群落的生活型谱进行了排序和分类。

Ordination and classification of the life form of plant community were done by principle component analysis ( PCA ) and systemic cluster analysis .

然后根据蒙哥马里算法，用Veriloghdl语言实现了基于FPGA芯片的椭圆域中的基本运算（模加、模乘、模平方和模逆）。

Then according to the Montgomery algorithm and using Verilog HDL , the basic operation in the elliptic curve based on FPGA is completed .

利用偏最小二乘回归理论，对酸雨数据进行了编程计算，得到了偏最小二乘回归方程，并计算了偏最小二乘回归模型的预测残差平方和降水pH值的数学期望估计值。

Using the partial least square regression theory , the partial least square regression equation the error square sum of forecast are given . Then the mathematical expectation of the pH value is estimated .

论文的主要工作与贡献如下：（1）研究了基于互信息估计的加权平方和SENSE并行成像重建方法。

The main works and contributions of this thesis are described as follows : Firstly , a weighted-sum-of-squares ( WSOS ) method based on the mutual information is presented to improving the reconstruction quality of SENSE parallel imaging technique .

基于模糊熵准则和误差平方和准则建立了模糊学习算法，基于该模糊学习算法，应用BP神经网络对柜式空调机组的性能进行了模拟。

Based on fuzzy entropy rule and sum-squared error rule , a fuzzy learning method was presented . According to this method , BP neural network was used to model the performance of air-conditioning units .

计算结果表明，与基于误差平方和最小原则的同规模BP网络相比，其对DNA结合位点预测的敏感性Sn（sensitivity）和特异性Sp（specificity）可分别提高11.40%和11.91%。

The result shows that the predicted sensitivity and specificity of ANN-CE increased by 11.40 % and 11.91 % respectively compared with the back-propagation neural network based on MSSE with the same architecture .

本文研究了方差分量模型中在平方和损失函数和矩阵损失函数下回归系数的线性Bayes估计。

In this paper , Bayes linear estimates of regression coefficient in a variance component model are studied both under the quadratic loss function and matrix loss function .

以误差平方和为标准的比较结果表明，BP神经网络模型的预测效果总的来看要优于多元线性回归法。

It indicated that BP neural network method performed better than multivariate stepwise regression models , as the sum of quadratic error of prediction by BP neural network model was less than by the regression method .

通过误差平方和的比较，确定利用基于输出误差（OE）模型的预报误差法所建立的模型的精度最高。

Through comparing their sums of squared error , it was concluded that prediction error algorithm-based OE model has the best precision .

静态条件下SLK交货期完工时间的离差平方和最小问题

Static problem minimizing the square deviation of job completion times under SLK due-dates

利用BIC准则及残差平方和最小原则得到振梁加速度计的最佳误差模型。

The rules of BIC and minimum residual sum of squares are used to gain the optimum error model .

主要解决了n进制之平方和函数二次均值的计算问题，并得出了一个精确的计算公式A2（N，n）。

The problem of second power mean value computing formula of digital square sum function in base is solved , then use element method and conjecture , induction to give an exact calculating formula A2 ( N , n ) .

本文提出了一种新的变量筛选法&正交递归选择法，该法可以得到预报能力较强的模型，即PRESS（预报残差平方和）值较低的模型。

A new model selection method named Orthogonalization Reccurence Selection ( ORS ) method is proposed . By applying this method the model with higher predictive ability can be obtained or the lower PRESS statistic values of the model can be achieved .