非零

At many occasions they arise quite natu-rally.For example,they appear in the Iwasawa decomposition of the isometry group ofa non-compact Riemannian symmetric space.Also,every connected homogeneous Rie-mannian manifold of non-positive sectional curvature can be represented as a connectedsolvable Lie group with a left-invariant Riemannian metric.

它们出现在非紧致黎曼对称空间的等距群的Iwasawa分解中；任一非正截面曲率的连通齐性和黎曼流形可以表为带有左不变黎曼度量的连通可解李群等，带有左不变黎曼度量的幂零及可解李群的微分几何，调和分析和谱几何是重要的研究课题。

The asymptotic synchronization in a lattice of x-coupled nonidentical Lorenz equations is considered, the external coupling matrix is an n×n irreducible symmetric real matrix having zero row sums and nonpositive off-diagonal elements.

考虑外部耦合格式为n×n阶实对称不可约，行和为零且对角线以外的元素非正的矩阵，内部耦合格式为仅有x-分量参与耦合的非恒同Lorenz格点系统的渐近同步。

The forth algorithm is the same as the third one with an addition of finite termination criteria. Although the latter two algorithms have only linear rate of convergence, they are especially suitable for large-scale and sparse problems, with features of simple formula, small storage, sparsity preservation and easy implementation.

前者借助NCP函数把互补问题转化为等价的非光滑方程组，再用带参数的光滑方程组近似这些非光滑方程组，最后用牛顿型方法求解所得到的光滑方程组，希望通过光滑参数趋于零得到原来互补问题的解；后者基于等价不动点格式，构造了一个光滑迭代算法和一个具有有限终止性质的算法，虽然这种迭代算法仅有线性收敛速度，但由于其格式简单、存储量小、保稀疏性、非常易于计算机实现等特点，故较适用于求解大规模稀疏问题。

Based on the analysis of the characteristics of open phase operational state, a novel open phase protection scheme utilizing the zero sequence voltage of the terminal and the negative sequ.

在分析非全相运行状态特点的基础上，提出了一种基于Powerformer机端零序电压和定子绕组负序电流的非全相运行保护方案。

Chapter 2 is devoted to the discussion of the asymptotic synchronization of par-tially coupled Lorenz systems with the external coupling matrices being n×n irreduciblesymmetric real matrices having zero row sums and nonpositive off-diagonal elements.

在第二章我们讨论了当外部耦合矩阵是n×n阶实对称不可约，行和为零且对角线以外的元素非正的矩阵时部分耦合非恒同Lorenz方程格点系统的渐近同步问题。

Under the conditions that the external coupling matricesare n×n irreducible symmetric real matrices with zero row sums and nonpositive off-diagonal elements, asymptotic synchronization occurs if the coupling strength exceedsa critical value.

第三章主要讨论非恒同的单摆振子系统，讨论了外部耦合格式矩阵是n×n阶实对称不可约，行和为零且对角线以外的元素非正的矩阵时系统的解的渐近同步性。

One of the two parameter group can be obtained directly by taking its corresponding nonnegative functions to be zero and another parameter group can be obtained through learning according to its corresponding nonnegative functions—performance index.

其中的一组可调参数可通过令相应的非负函数为零直接求得，而与另一组可调参数相对应的非负函数就是用于这组参数学习的性能指标。

In Chapter 3, we discuss the synchronization of coupled dynamical systems on condition that the external coupling matrices are n × n irreducible symmetric real matrices with zero row sum and nonnegative off-diagonal elements and internal coupling matrices are m × m asymmetric matrices.

在第三章我们讨论了耦合动力系统中，当外部耦合矩阵是n×n阶实对称不可约，行和为零且对角线以外的元素非负的矩阵，内部耦合矩阵是m×m阶非对称矩阵时耦合系统的同步问题。

The model of fiber-optic Fabry-Perot interferometer was established when ideal or unideal optical source was applied. Through simulating interferometric signal by computer under the condition of nonmonochromatic light, the symmetry of fringes deteriorated, the fluctuating domain of fringes became small as the ratio of cavity length to coherence length increasing.

推导了光源在理想情况和非理想情况下的光纤Fabry-Perot干涉模型，通过计算机模拟了干涉信号，指出在非单色光源下，干涉条纹失去周期性，随着腔长相干长度比增加干涉条纹的变化幅度减小，最后演化成一条直线，条纹的可见度也慢慢趋近于零。

In this new theory system, according to non-inertial tow motion system various multi-linear vector concrete deductive calculus and analyse, it can be determined that after electron and positron collide (combined at shout-range distance reacted by strong force), they form excited state neutrino,then reacted by weak force for a relaxation time becomes un excited state neutrino and release large energy photon or phonon, its mass tends to zero.

新理论体系，按非惯性牵引运动系，各类多线矢的具体演绎矢算分析，可以判定：电子与正电子碰撞(在近程条件强力作用下结合)成激发态中微子后，再在弱力作用下，经一定的弛豫时间，形成非激发态中微子并释放大能量的光子或声子，其质量近乎为零。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。