Acoording to the least square principle the normal equations and its coefficient matrix are performed.
按最小二乘原理，建立了球面坐标系下的法方程组及其系数矩阵的具体形式。
So in equal Numbers of equations and unknowns that the normal nice case.
一般的例子中未知数个数和方程个数相等。
Another way to do it, of course, would provide actually parametric equations of these lines, get vectors along them and then take the cross-product to get the normal vector to the plane.
当然也有另一种方法，就是用参数方程表示这两条直线，用两条直线的方向向量作外积，从而得到切平面的法向量。
Very general systems of differential equations can be reduced to the normal form.
形式很普通的微分方程组可以化为正规的形式。
Since normal plastic theory is too complex, the membrane theory and the semi-membrane theory are adopted to establish the equilibrlm equations in plastic limit analysis.
鉴于有矩理论的复杂性，本文在作极限分析时，采用了无矩理论和半无矩理论的平衡方程分别作为中短壳和长壳的平衡方程。
In this paper two reasons-the deviation of the data from the origin and the size of the data-causing the ill-conditioned normal equations in the least square fitting of a polynomial are discussed.
讨论了最小二乘多项式拟合中引起正规方程组病态的两个重要原因：节点对原点的偏离程度和节点坐标的数量级。
By equating the normal induction velocity on the planing plate to its normal velocity of pitching and heaving motions, obtained the integral equations of the unknown pressure distribution.
令板面处的法向诱导速度与滑行板由纵摇和升沉运动所产生的法向速度相等，便得到求解未知压力分布的积分方程序。
Positive results are obtained in the application of the normal solvability to differential equations.
将这些应用于微分方程组，证明微分方程组具有正确能解性。
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.
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。
Objective To build the normal ranges and regression equations of peak expiratory flow (PEF) in normal young, middle aged and old persosn.
目的建立正常老中青年呼气峰流量（PEF）的正常值范围及回归方程。
The motion equations for a free gyroscope with an annular damper are established by application of the equations of 1-st order in normal form for the motion of the rigid body.
本文利用刚体定点运功的一阶正规型方程组建立带液体环阻尼器的自由陀螺仪的运动方程。
The normal consolidation line, the critical state line and the strength envelope line are determined from the laboratory tests, and equations of these lines are given.
通过室内三轴试验测定出上海粘土的正常固结线、临界状态线及天然强度线，并给出各线的表达式。
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.
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。
The expression of optic axial Angle and ray axial Angle on light wave plane can be obtained by using the curve equations of the wavefront of light wave and normal plane of light wave.
利用光波面和光波法线面的曲线方程，得出了光波面上光轴角和光线轴角的表达式。
Based on the normal mode analysis, the characteristic equations were deduced from the perturbation equations of fluid mechanics.
基于模态分析，从流体力学扰动方程组出发，推导出了特征方程。
The dynamical equations of the system are simplified to a3-order normal form with a series of coordinate and approximately identical transformations, and a bifurcation equation is thus obtained.
通过一系列的坐标变化和近恒等变换，将电力系统的动态方程简化成三阶规范形，从而得到系统的分岔方程。
The relation equations between Normal Mode propagation travel-time and sound-speed fluctuation are used to explain the qualitatively relationship between two spectra.
应用简正波传播时间与声速起伏的对应微扰关系式，给出了上述对应关系的理论解释。
The relation equations between Normal Mode propagation travel-time and sound-speed fluctuation are used to explain the qualitatively relationship between two spectra.
应用简正波传播时间与声速起伏的对应微扰关系式，给出了上述对应关系的理论解释。
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