查询词典 inconsistent equations

We also adopt the iterative method to study the matrix nearness problem associated with these inconsistent matrix equations systematically in this dissertation, and characterize the minimization property of this iterative method by making use of the matrix function in subspace for the first time, which is the important improvement for the achievements of references.

本文还采用迭代方法系统地研究了问题Ⅰ，并首次利用子空间上的矩阵函数来刻画该迭代方法的极小化性质，这是对已有研究成果的重要补充和完善。

The conventional matrix decomposition methods have been used to find the least-squares solutions of the abovementioned inconsistent matrix equations over given matrix set in many references, and the general expressions of these solutions were obtained. But it is difficult to determine the solution of Problem I by utilizing these expressions due to the fact that the orthogonal invariance of Frobenius norm does no hold for the general nonsingular matrices.

对于求上述不相容矩阵方程在给定矩阵集合上的最小二乘解，很多文献中利用传统的矩阵分解方法得到了其通解表达式，但是利用该表达式很难得到问题Ⅰ的解，这是因为一般的非奇异矩阵并不满足Frobenius范数的正交不变性。

The inconsistent equations may be formed with the surveying data of the GPS network of monitoring crustal movement and deformation on the continent of China in 1994 and 1996, and by using the damping method of least squares and the interative computing method, the parameters of crustal movement and deformation can be obtained.

利用全国网1994年和1996年的两期GPS观测数据，组成矛盾方程组，应用阻尼最小二乘方法，经迭代解算，得到所需要的地壳运动与形变参数。

The computing plots of the solutions from the two methods were inconsistent under the specified boundary-initial conditions, which stirred up the debate of the effectiveness of Maxwell's equations in lossy medium. It is found that the differences between the two numerical curves can be viewed as the Gibbs phenomenon caused by cutting off the high frequency components in computing the infinite integral of the numerical curve of Harmuth's solution.

通过比较两种解析解的数值曲线得出：两者的差异在于求解Harmuth解的数值曲线时，采取无穷积分的高频截断近似产生了吉布斯现象；在计算Harmuth解的数值曲线时不断增大积分上限，其数值曲线的振荡不断向不连续点处收缩，而且衰减加快，因此在求解Harmuth解的数值曲线时，若积分区间取为理想无限大，则可以预见相同计算精度下两种方法的电场解的数值曲线是一致的。

In the fourth chapter, some general equations are studied, of which Abel equation and some equations that have been intensively studied are the special cases.

第三章利用Abel方程已有的结果来讨论多项式系统的极限环的存在性，个数和稳定性，推广了水树良和蔡燧林的相关工作。

In addition,Various methods of stability analysis of wakes behind bluff bodies arediscussed,among which the general theory of absolute/convective instability is strictlyformulized from stability equations of viscous flow;the theoretical foundation of stabil-ity analysis of time-average flows is also discussed from basic equations of fluids,andthe reason for the stability analysis of time-average flow can predict the frequency inthe saturation state is explaned.

此外，讨论了钝体尾迹稳定性分析的各种方法，其中从粘性流的稳定性方程出发严格推导了绝对/对流不稳定性的理论公式；从基本方程出发探讨了采用时均流场作稳定性分析的可行性，并解释了用时均流场作稳定性分析可以更好地预示饱和频率的原因。

Taking into account the absorption of Cr 4+∶YAG in excitaion state,the Q switching rate equations are given and the equations are solved numerically by using computer.

在考虑Cr4＋∶YAG激发态吸收的情况下，给出调Q 速率方程组，并且利用计算机对该方程组进行数值求解。

Core saturation and the rotor bar skin effects were directly taken into account in the field calculation. The adopted circuit equations are suitable for describing the stator windings and the special rotor-bar connections of BDFM. The waveform of supplied voltage source may be an arbitrary. Three-dimensional end effects were considered in the circuit parameter corrected by classical formulas. In addition, the coupling and constraint equations were used to handle rotor rotation without any process of remeshing.

其特点是：铁心饱和以及转子导条集肤效应可以直接在场的计算过程中加以考虑；采用的电路方程可以方便地处理无刷双馈电机定子绕组和转子端环的各种特殊连接方式，电压源可以是任意电压波型；三维端部效应可以通过传统的方法在电路参数中加以修正；采用耦合与约束方程来处理转子转动问题，而无须不断地对转子重新进行刨分。

The Steady-state model is based on the PENG-ROB equation, that is, the material balance equations, Phase equilibrium equations, component additivity and the enthalpy balance equation.

稳态模型建立的基础是 PENG-ROB 方程，即物料平衡方程、相平衡方程、组分加和方程和焓平衡方程。

Aiming at the shortage of traditional numerical methods, the Adomian Decomposition Method is introduced to solve the nonlinear model equations in reaction engineering. ADM can give the approximate analytical solutions in a form of algebraic expressions for nonlinear equations.

针对传统数值求解方法存在的不足，将Adomian分解法(Adomian Decomposition Method，ADM)引入到反应工程非线性数模求解中，可给出非线性数模逼近解析解的代数表达式。

A historical region of southwest France between the Pyrenees and the Garonne River. The duchy of Aquitaine was joined with France after the marriage of Eleanor of Aquitaine to King Louis VII in1137, but its possession was disputed after her subsequent marriage to Henry II of England.

阿基坦法国西南部一个历史地区，位于比利牛斯山和加隆河之间，在1137年阿基坦的埃莉诺与国王路易斯七世结婚之后阿基坦公国加入法国，但当她再嫁英国亨利二世后，其归属权便受到争议

There are moments when I look at the smiling , happy faces of my expectant staff and wonder how they will cope when confronted by an outraged housemaster along with an unrepentant and recalcitrant bleached blond teenager in 18 years ' time .

有时候，我看着那些满怀期待的员工微笑，幸福的脸，想着当他们遇到一位愤怒的宿舍管理员和一位不知悔改，叛逆，而且将头发染成白色的18岁少年时，他们会如何处理。