非零

Assume a Lie algebra g has a form B which has all the useful properties of Killingform:bilinearity nondegeneracy,symmetry and invariance.Note that for such a Liealgebra the adjoint representation is equivalent to the coadjoint representation.We callit a symmetric self-dual Lie algebra and the form B an invariant scalar product.

在第一部分的最后一节，我们引进了拟Heisenberg代数的概念，证明了这些李代数均为具有非极大秩的CN李代数，进一步我们还证明了这些CN李代数构成的集合与极大秩幂零李代数构成的集合之间存在着1-1对应关系。

It is shown that over the top layer of a heating region, although there is no diabatic heating, but still exist ascent, divergence, anticyclonic circulation, and cold center.

在加热区的上空尽管非绝热加热为零，仍然存在上升、辐散、反气旋环流及冷中心，证明这是由于"过流"引起的。

We prove that every linear map preserving zero Jordan triple product and unit from nest subalgebras of factor yon Neumann algebras to Banach algebra with unit is a Jordan isomorphisms.

接着我们对至少有一个非平凡可比较元的CSL代数上的双向保零积线性映射进行了研究，得到此映射为同构。

Hausdorff convergence; almost nonnegative Ricci curvature; Betti number; harmonic 1-form; nilpotency; splitting theorem; positive sectional curvature; gradient curve

基础科学，数学，几何、拓扑Hausdorff收敛；几乎非负Ricci曲率；贝蒂数；调和1-形式；幂零指标；分裂定理；正截面曲率；梯度曲线

In this paper, we expand the eigenvalue of Poisson equation using nonconforrn-ing Q1rot element. The principal term of error we get is not negative. In general, the approximate eigenvalue is the upper bound, but the approximate eigenvalue may be the lower bound when the principal term is zero.

本论文对Poisson方程的特征值采用方形旋转双线性非协调元Q_1~(rot元进行展开，得出的误差主项大于或等于零，因此在一般情况下近似特征值是上界，但当主项等于零时近似特征值可能是下界。

Although the characteristic equation of various configurations remains unchanged, the robustness of the system is not the same.

对倒立摆这样的非最小相位系统来说，零动态解开法也没有鲁棒性。

But the result of improvement soil translated alkaline soil into alkalier soil. Not onlu it is unavoidable and subsisted of stabilization in commix tier of gypsum, but also it destroyed direct improvement process. It is imported find what solved seepage problem of gypsum in the study. In configured duality structure of improvement soil, it needs abundance seepage gypsum in commix tier into noncommix tier in order to losing seepage capacity reduce in all deepness of improvement soil.

碱土改良过程中石膏渗漏损失最高可达到石膏施入量的40%以上，而改良结果碱土只转化为重碱化土；在石膏混合层内，它是一种不可避免的、稳定存在的且直接破坏土壤改良进程逆流；因此解决石膏渗漏问题亦是在本文研究工作中的重要发现：配置二元结构改良碱土中，正需要石膏混合层中大量石膏渗漏，以改良非石膏混合层，并使整个计划改良深度内的渗漏损失降为零。

Let n ≥ 4 be a fixed integer, R be a unital commutative ring of characteristic not 2, and D_n be a D_n-type classical Lie algebra over R.

假设n是一个大于等于4的整数，R是特征非2的有单位元的交换环，D_n是环R上的D_n型李代数，N是D_n的一个极大幂零子代数。

When two particles couple themselves in a singlet at short distances (one with spin up and one with spin down) the new nonlinear, nonlocal and nonpotential forces due to deep wave-overlappings are so attractive to overcome possible repulsive Coulomb forces, and permit new bound states at short distances which simply cannot be conceived - let alone treated - by quantum mechanics and chemistry.

当两个粒子在很小的作用距离内相互偶合成为零自旋态〔一个上旋而另一个下旋〕，深深重叠在一起的波导致新型的非线性、非局部和非潜势力的引力大到得以克服相互排斥库伦力，允许很小相互作用距离内的一种新的限制状态。量子力学和量子化学无法考虑，更不用说去处理，这种新的限制状态。

The unflatness of amplified spontaneous emission noise and its impacts imposed on the performance of the off-center narrow filter polarization-nulling method when monitoring the in-band optical signal-to-noise ratio of dense wavelength division multiplexing system are analyzed, and a modified method by introducing an unflat factor in the calculation of OSNR is proposed.

分析了累积自发辐射噪声的非平坦特性，在已有窄带离心偏振置零法测量波分复用系统中带内光信噪比的基础上，分析该方法在噪声非平坦条件下存在的问题，提出了在光信噪比的计算中引入修正因子。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。