查询词典 manifold

We also refer to the center manifold theorem and normal form theory, and list two calculation formulas which reflect the stability with Hop bifurcating periodic sollution, bifurcating direction.Thus provide a basis for numerical simulation calculation.

我们还用中心流形定理和规范型理论给出了确定Hopf分支周期解的稳定性，分支方向的计算公式，为数值模拟计算提供了依据。

By using center manifold theorem and normal form of maps, we also present formal proofs of the supercritical flip bifurcation at the bifurcation point. Above this threshold, there is a characteristic sequence of bifurcations, leading to chaotic dynamics, which implies that the dynamical behavior of the single species model with birth pulses are very complex.

利用单参数族映射的中心流形定理、正规型和指数积分函数的性质，得到了具非线性出生率或具密度依赖成熟率的混杂矩阵模型正平衡态的存在性和稳定性、超临界分支以及各种复杂现象甚至混沌。

In order to determine the Poincare normal form of linear operator in the operator differetial equation, we need to reduce the vector-value function to the two dimensional case on center manifold.

要证明以上的结论，我们所采用的方法是[24]中的Hopf分支定理所给出的判断Hopf分支存在性及分支周期解稳定性方法。

According to the discussion of the last chapter, we make use of a class of Null Dirac structure on the product Poisson manifold T*M×g* to do the Poisson reduction.

为此，我们利用了T*M×g*上一类Null Dirac结构来做Poisson约化。

Invariant manifolds are important for the study of dynamic systems. Since they are hard to he computed h analytical expression, the numerical method for approximating invariant manifold is an important mean.

不变流形在动力学研究的许多方面都有重要意义，由于不变流形很难通过解析表达式求解，对其做近似计算就成为重要的手段。

The study of numerical manifold method provides a mathematics base for some problems, such as seepage of rock slope, deformation and stability analysis.

对数值流形方法进行的研究，为岩石边坡渗流、变形与稳定分析等问题提供了数学基础。

At present, many known results are obtained only on one dimensional functional space, and the research on high dimensional space is little, only the continuous solutions are discussed on RN, neither the differentiate solutions on RN nor the solutions on abstract space and manifold.

在一维情形下，所涉及的函数通常具有较好的性质比如单调性，逆映射导数的LipschitZ性(在研究光滑解时通常需考虑)等，而第il页摘要高维空间上函数则不具有这些好性质，因此，讨论高维空间上的迭代方程要求在方法上作一些改进和突破。

Designed with an open manifold, the mill facilitates cleaning, minimizes cross-contamination, and increases both product quality and production efficiency.

它的最大优点在于是带有开放式气流阀，所以方便清洁、减少互污染，从而提高产品的效率和质量。

Unfortunately it is very restricted in the types of topology that it can trivially represent. At best Half-Eddge can handle multiple open manifold shells with extensions to support wire edges and loose points.

可以满足第三个约束，但不幸的是，它的拓扑表示很有限，最好的情况是，通过一个扩展设计，半边可以支持悬空线和松散点云。

Please open your manifold.

请开船出口阀。

I will endeavour to find you some assistance.

我尽力帮你找人帮忙。

At first I only know bruck is the idol of American younglings, afterwards I returned back to Taiwan ,even in Beijing last year ,I saw her poster everywhere, I was so surprised at her charm.

起初我只晓得布鲁克雷德丝是美国少男少女崇拜的偶像，后来回台湾，甚至去年在北京，居然也四处看见她的海报，才惊讶她的魅力之大。