查询词典 immersed manifold

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。

This article presents the methods of foundation treatment for immersed tube tunnel with focus on theoretical analysis of sand flow method, and also simulated test on foundation treatment technique for outer ring immersed tube tunnel, to verify feasibility of the construction method, hence winning key technical parameters to have been employed in the construction of outer ring immersed tube tunnel.

提 要：文章介绍了沉管隧道基础处理的方法，着重对砂流法进行理论分析；并介绍了外环隧道基础处理技术的模拟试验，验证了施工方法的可行性，获得了关键的技术参数；并在外环隧道施工中得到应用。

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。

The fry of black seabreamand giant sea perch with 4.0cm-8.5cm using the methods of dyeing, i.e., the fish immersed in the water solution containing comestible pigment, immersion in tetracycline, i.e., the fish immersed in the water solution containing tetracycline, and marking by spraying, i.e., the fish sprayed with fluorescent pigment spraying on the skin of fish, and double marking, i.e., the fish sprayed with fluorescent pigment spraying on the skin of fish after feed with tetracycline, and control group. The survival rates, mark retention rates and hydrology data were separately measured every three days for black sea bream and every two days for giant sea perch. The results were as follows.

本研究针对体长4.0cm-8.5cm的黑鲷及金目鲈的鱼苗采用染色法(将鱼只浸泡在含有食用色素的水溶液中)、四环霉素浸泡法(将鱼只浸泡在含有四环霉素的水溶液中)、喷枪法(利用高压喷枪将萤光色素打在鱼的表皮)以及双重标识法（四环霉素投餵法加上喷枪法）与一组空白组进行试验，黑鲷每三天一次、金目鲈每两天一次，调查标识后鱼只的时间别残存率、时间别标识残留率以及水质资料，结果如下。

Maybe only the old days could bring those kinds of feelings or state of mind Epiphyllum oxypetalum will bloom soon,no one can fall into sleep in the yard,sitting round together, waitting for a flower's brilliant yet metericfull bloom ,the midnight is getting more and more dark,Epiphyllum oxypetalum started to release its all energy,opening slowly...nobody murmured,Epiphyllum oxypetalum was setted off by the huge silent(..was enwrapped by vast silence ),petals are fresh, which appears an porcelaneous' glazes(emerging porcelain-like glaze ).at that moment,we arethe pure nature viewer, so as this piece of flower was not belong to(didn't belong to) ourselves, we still spritted by its'glorious(we were still deeply encouraged by its beauty ), immersed ourselves overjoyed(and immersed in the jubilant delight beyond words ).

昙花快开了，满院子的人都不睡，围坐着，等候一朵花灿烂而转瞬即逝的怒放。越来越黑的子夜，昙花开始释放积聚的力量，慢慢打开……无人低语，昙花被浩大的寂静烘托着，朵瓣清新，浮现瓷器般的釉彩。

We got alerted a couple of times while we were down south that HETs were on the way to bring us back up north because things were going to go hot again, but it was just rumors.

南下的途中我们不只一次得到警告说重型装备运输车将拉着我们重新北上，因为局势正在变得重新紧张起来，但这只是谣传。

It's the one where they find the ghost in the salt mine.

这一集是演他们在盐矿找到鬼