现在我们来用拉格朗日乘数法方程。
合作并不是个魔法方程序，使你的生产力增加。
Working with others is not a magic formula to increase your productivity.
通过矩阵分析，导出了力法方程的统一列式。
The formulas of compatibility method are derived by means of matrix analysis.
在一定条件下，其计算精度比能量法方程序更高。
Under certain conditions, its calculating accuracy is more higher than those obtained through energy-method equation.
用严格计算的法方程系数矩阵作为控制精度的标准。
The coefficient matrix of normal equation which is comr puted strictly is used as the standard of controlling accuracy.
当法方程的系数矩阵呈病态时，平差参数的统计性质就要变坏。
If the coefficient matrix of the normal equation is ill-conditioned, the statistical character of adjustment parameter will become poor.
最小二乘法方程组在某些组合情况下也会出现严重的病态方程。
The least square simultaneous equations in some cases of combination also have the problem of the abnormal state equation.
分析了法方程出现秩亏的可能原因，针对不同的原因提出了解决办法。
The causes of rank defect of normal equation are analyzed, and then the problems are solved by advancing different method to different causes.
将一种求解病态法方程的新方法——谱修整迭代法应用于单频GPS接收机快速静态定位。
A new iteration for solution normal equation is applied to GPS rapid positioning by using several-epoch single frequency phase data.
研究结果：用最小二乘法设计场地平整参数的法方程、土方量计算公式及其精度分析公式。
The results of it are the working equation, the count formulae of earthwork quantity and the precision analysis in planning the Unknotting Parameter of field in the use of least squares.
在分析了无偏条件及最小估计方差之后，给出了对数正态克立格法方程组及对数克立格方差。
The lognormal kriging systems and logarithmic kriging variance are established after non-bias condition and minimum estimation variance are studied.
线阵推扫式影像外方位元素间的强相关性，导致法方程病态，外方位元素的最小二乘估计值误差较大。
The strong interrelationship among exterior elements of linear pushbroom imagery induces normal equation severely ill-posed and least squares value deviated from the true value.
提出一种两群替代微粒群优化算法(TSSPSO)，并对算法参数进行分析和对算法方程进行修正。
In this paper, two sub-swarms substituting particle swarm optimization algorithm (TSSPSO) is proposed. The algorithm parameters are analyzed and the iteration equations are amended.
在一般可行集下，结合非光滑方程组解法及投影映射的性质，讨论了法方程求解变分不等式问题的算法构成。
Under general feasible set, in consideration of the algorithms for nonsmooth equations and the properties of projection map, the algorithms using the normal equation to solve are discussed.
结果表明：抗差主成分估计不仅可以解除法方程系数降的病态，而且对于抑制观测粗差的影响也有显著功效。
The results show that the robust principal component estimation can not only overcome the ill condition of the normal equation. but also resist the outlier effects to the model parameters.
可惜的是，当采用一个十分庞大的附加参数组时，在某些几何条件下将导致很坏的法方程系状态，从而使测求的平差结果很差。
Unfortunately, introducing a comprehensive set of additional parameters can produce a bad condition for normal equations under certain geometry, so that the adjusted results are poorly determined.
针对法方程呈现病态且观测值受到污染而不严格服从正态分布的情况，探讨运用拟准检定法抗御粗差，用岭估计改善法方程的病态性。
This paper discusses the resistance of gross errors with quasi accurate detection and the improvement of ill conditioned equation with ridge estimate when the equation is ill conditioned and polluted.
该方程组可以用数值方法方便地求解。
The equations can be conveniently solved by numerical method.
该方程组可以用数值方法方便地求解。
The equations can be conveniently solved by numerical method.
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