平方和

Then, an optimization algorithm is used to optimize the initial projective transformation matrices by using area around each feature point, and complete the precise image mosaics.

方法的具体实现为：首先利用相位一致方法提取各图像中边缘上的角点特征，对特征角点进行初始匹配，然后利用初始匹配的角点计算变换矩阵的初始参数，再以光强度差的平方和为优化目标函数，在优化的过程中逐步获得变换矩阵的最佳参数，最后对重叠区域运用渐入渐出的方法实现了光强或颜色的自然过渡。

We calculate the energy-momentum pseudo-tensor of relic gravitational wave of both the polarized states by Riazuelo-Uzan expression of the energy-momentum pseudo tensor in the Cartesian coordinates, we can see that energy density and momentum densities of relic GWs are dependent on cosmic scale factor and square of the amplitudes,. At the same time, the energy density of relic GWs is positive definite, the momentum densities components have reasonable physical behavior,and their values are independent on the directions.

我们还用Riazuelo-Uzan表述在直角坐标系下对双极化态的遗迹引力波的能量动量赝张量进行计算，发现双极化态的遗迹引力波的能量张量密度与他们的振幅的平方和宇宙学尺度因子有关，他们的能量密度是正定的，大小跟传播方向无关，即遗迹引力波在宇宙学尺度上是各项均匀同性的。

Independent variables are diameter class, relative diameter, number of stems per hectare, basal area per hectare, quadratic mean diameter, degree of closenessand sum of squared diameter of larger trees than th...

自变量有径阶、相对直径、每公顷株数、每公顷断面积、平方平均直径、郁闭度和大于所估径阶的林木直径平方和。

Eight hierarchical clustering methods including single linkage method, complete linkage method, median linkage method, centroid method, unweighted pair-group average method, Wards method, flexible-beta method and weighted pair-group average method were combined with three sampling strategies, random, preferred and deviation sampling to develop 24-core collections.

川最短距离法、最长距离法、中间距离法、重心法、不加权类平均法、离差平方和法、可变法和加权配对算术平均法等8种系统聚类方法，结合随机取样法、优先取样法和变异度取样法等3种取样方法，发展了24个水稻核心种质库。

Production function ; parameter estimation ; artificial fish school algorithm ; residual sum of squares

生产函数；参数估计；人工鱼群算法；残差平方和

The simulation studies are carried out for getting the accurate parameters of the production function. The simulation results show that this algorithm has fast optimization speed and which possesses minimum regression residual sum of squares.

以美国马萨诸塞州1820－1926年的产值、资金投入和劳动力投入数据做仿真实验，结果表明，该算法在生产函数参数估计中具有寻优速度快的特点﹐且可得到最小的回归残差平方和。

It is concluded that the order number determines the precision of temperature extrapolation method, and it can be controlled when the quadratic sum of residual error between the opposite solving and the original measuring is minimum. For the specific surface temperature curve, it is derived with the temperature on the site 0.0129cm.

分析结果表明，阶数决定著外推测试的结果以及结果的精度，阶数选取不当甚至会出现错误的外推测试结果，但采用反面求解求得的拟合曲线与实测得的原值具有最小的剩余误差平方和，可以有效地抑制其影响。

In order to overcome the problem that the determination of non-scale interval definite and fractal dimension's computation were affected by human factors, the new method of scale transformation was presented according to the principles of notable regression effect, the smallest residual sum of squares and weak autocorrelation of residual error, which providing reference for the determination of study scale.

本文针对分形理论在描述监测站网分布时易受人为因素影响问题，提出了以回归效果显著，残差平方和最小和残差自相关性小为原则的确定尺度转折点的方法和基于GIS技术的点状数据确定尺度转折点的基本步骤，以期为研究尺度的科学确定提供参考。

It was found that the multi-parameter model describing the relation of vapor enthalpy and temperature ( Clapeyron-Clausius equation ) is obviously superior to the commonly used two parameters model and the Antoine equation in term of residual square sum and statistic distribution rule of error.

以乙醇为例利用非线性拟合技术和文献报道的实验数据，探讨了纯物质蒸气压和温度关系及其参数的拟合问题。从拟合的残差平方和和误差的统计分布规律考虑，基于蒸发焓与温度关系( Clapeyron-Clausius方程)的多参数模型明显优于常用的二参数模型和Antoine方程

A new method for estimating parameters is proposed due to the characteristics of artificial fish school algorithm such as overcoming the local optimal value and robustness. Firstly, the parameters of production function are constructed into the artificial fish and residual sum of squares is designed into the function of food consistence, secondly, the parameters of production function are estimated by the random behavior, preying behavior, swarming behavior and following behavior.

基于人工鱼群算法能够克服局部极值、鲁棒性强等特点，给出了一种生产函数中参数估计的通用新方法，该方法首先将生产函数模型中的参数构造成人工鱼模型，利用残差平方和设计食物浓度函数，然后通过人工鱼的随机、觅食、聚群、追尾等行为，对生产函数中的参数进行估计。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。