查询词典 differentiable manifold of class c

The result indicates that the reconstruction based on differentiable basis function is better than that based on non-differentiable basis function and the reconstructions based on different differentiable basis function is approximately the same.

结果表明，对于少数投影计算机层析重建，采用连续可导的局部基函数展开比采用非连续可导的脉冲基函数展开具有更高的重建精度。

In this paper, the existence of isometric mapping between the manifold in the high-dimensional data space and the parameter space is proved. By distinguishing the intrinsic dimensionality of high-dimensional data space from the manifold dimensionality, and it is proved that the intrinsic dimensionality is the upper bound of the manifold dimensionality in the high-dimensional space in which there is a toroidal manifold.

首先给出了高维数据的连续流形和低维参数空间之间的等距映射存在性证明，然后区分了嵌入空间维数、高维数据空间的固有维数和流形维数，并证明存在环状流形高维数据空间的参数空间维数小于嵌入空间维数。

The linear manifold-learning algorithms represented by PCA, with their substantial mathematical foundation and simple implementation, but they are not able to show complex nonlinear manifold structure with their linear essence, which gives rise to nonlinear manifold-learning algorithms such as Isomap, SIE etc.

以PCA为代表的线性流形学习算法有较强的数学基础，实现简单，但是其线性本质并不能揭示复杂的非线性流形结构；于是又出现了以Isomap、SIE等为代表的非线性流形学习算法。

As the special characteristic of nonlinearity, several notions are introduced and used in this paper, such as differential manifold, vector field, diffeomorphism, tangent space, topological equivalence. Stable manifold and unstable manifold are also introduced.

针对非线性的特殊性，本文专门介绍了非线性中几个比较特殊的概念，如微分流形、向量场、微分同胚、切空间以及等价关系等，对稳定和不稳定流形也作了介绍。

As a new technique, the manifold method, proposed by Genhua, Shi in 1990s is based on the concept of topology manifold and differential manifold in mathematics.

其中尤以数值流形方法最为突出，以其新颖的数值思想、先进的数值技术得到了学术界的广泛关注。

We get some results about the scalar curvature of 2 and n(n≥3)dimensions Einstein manifold :ρ Maybe is constant and ρ is constant, the relation between Einstein Manifold and Riemannian Manifold with constant sectional curvature.

本文对其有关性质进行了讨论，得到了2维和n(n≥3)维爱因斯坦流形的数曲率的一些结果：ρ可能为常数和ρ为常数，以及爱因斯坦流形与常曲率黎曼流形之间的关系

Secondly, method of Taylor series is used to approximate the slow manifold and the O approximation of the slow manifold is given; slow dynamics such as saddle node bifurcation which has been proven to be the same as that for the full system is analyzed; at the same time, fast dynamics including bifurcation conditions and domain of attractor of the stable equilibrium are also analyzed; the attracting region which consists of the stable manifold of the unstable equilibrium and stable equilibrium is given; we found that when the inner flux decay increases, the domain of attractor is enlarged.

首先，给出了电力系统SMIB模型的时间尺度分解，得到标准的奇异摄动模型；其次，利用幂级数方法，给出了慢流形的O近似M〓，分析了在慢流形M〓上的慢动态，得到了慢子系统的鞍结分支值，并证明此分支值与原系统的鞍结分支值相同；分析了快子系统的平衡点和全局分支的存在条件，给出由不稳定平衡点的稳定流形与稳定平衡点形成的吸引域；并研究内部电压对稳定域的影响，发现稳定域随内部电压增加而扩大；最后给出整个系统的稳定平衡点的近似吸引域。

The simulation results of inlet air manifold show that the uniformity of the velocity at outlet of the manifold are improved by using the appropriate bell-mouthed inlet and clipper-built baffle, and inlet pressure needed of the manifold decrease.

对进气箱的模拟结果表明，采用扩压型进口加流线型挡块的方案可以提高出口速度的均匀性，同时降低了进气箱入口所需的气体压力。

No person shall bring a putative or certified class action to arbitration, nor seek to enforce any predispute arbitration agreement against any person who has initiated in court a putative class action; or who is a member of a putative class who has not opted out of the class with respect to any claims encompassed by the putative class action until: the class certification is denied; or the class is decertified; or the customer is excluded from the class by the court.

任何人均不得将一项可能被法院受理的或已被法院受理的集体诉讼提交仲裁，也不得针对已经向法院提出可能被受理的集体诉讼、且并未针对该集体诉讼所涉及的任何索偿选择退出该集团的人士强制执行任何纷争前的仲裁合约，除非出现下列三种情况：法院拒绝受理该集体诉讼；该集体诉讼的法院受理被取消；法院已将客户排除在该集体诉讼之外。

The first part, premising the organization, limits concept and establishes the theory basis of the moral education class ;The second part, which tries to find how to plan the moral education class, mainly discusses about how to set the aim, how to select the content and how to choose the theme of the middle school's moral education class;The third part, trying to find how to carry out the moral education class, mainly deals with the general mode of moral education class and the effective implementation method of the middle school's moral education class and the successful moral education subject activity class that must be persisted;The fourth part discusses about how to manage and appraise the middle school's moral education class.

第一部分，前提疏理，界定概念，确立中学德育主题活动课的理论基础；第二部分，探讨中学德育主题活动课的设计问题，主要包括德育主题活动课的目标确定，德育主题活动课内容的选择，德育活动主题的确立等；第三部分，探讨中学德育主题活动课的实施问题，主要围绕实施德育主题活动课的基本要素、一般过程、行之有效的实施方法及德育主题活动课应坚持的原则等；第四部分主要探讨中学德育主题活动课的管理与评价问题。

The use of the web to spread fears that flicking the switch on the LHC could create a Black Hole that could swallow up the Earth particularly concerned him, he said.

他说，使用互联网散布恐慌说启动LHC会生成一个可能吞噬地球的黑洞的做法让他感到忧虑。

Not a single word have I written down.

我一个字也没有写下来。