查询词典 finite dimensional

T not only can reveal the meaningful low-dimensional structure hidden in the high-dimensional observation data, but can recover the underlying parameter of data lying on a low-dimensional submanifold.

somap的理论基础是假设在高维数据空间和低维参数空间存在等距映射，但并没有进行证明。

For the purpose to figure out location and function relations of three-dimensional syphon's unfolded curve with any bend angle, any diameter and any section, and to make integration of design and manufacturing for three dimensional big-diameter syphon, methods of engineering mathematics and analytic geometry are provided. Syphon's unfolded curve function in three-dimensional station is analyzed and built; the corresponding MATLAB procedures are compiled at the same time.

为了解决弯管在弯曲角度、直径、节数等变化时的三维弯管展平曲线的坐标位置以及函数关系问题，以实现大直径弯管的三维设计与制造的自动化、一体化，通过利用工程数学及画法解析几何的方法，分析和建立了弯管在三维状态下的展平曲线方程，同时编写了相应的MATLAB程序。

Use of tensor product can be from one-dimensional analysis directly from the two-dimensional multiresolution analysis, thus conveniently be constructed of two-dimensional wavelet and wavelet packet and the corresponding decomposition and synthesis algorithms.

利用张量积方法可以从一维多分辨分析直接得到二维的多分辨分析，从而方便地构造得到二维小波和小波包以及相应的分解和合成算法。

Finally we introduce three-dimensional imaging system, three-dimensional reconstruction method and model that we have adopted, and the problem about image matching in the three-dimensional vision.

最后介绍了本系统所采用的立体成像方式、三维重建方法和模型，以及立体视觉中的图像匹配的问题。

The 12th dimensional sun that remained was only 1/3 of Maldek's original size; and now there was a series of five fifth dimensional suns and twenty five third dimensional planets that were born as a result of her explosion.

留下的第十二维度的太阳仅是马尔戴克最初尺寸的1/3；而现在五个第五维度的太阳和二十五颗第三维度的行星们即诞生于马尔戴克的爆炸。

Since most of the studies are based on the Hardy space and the Bergman space of the unit disk, there is still a lack of their properties on the higher dimensional region for the reason that the topological boundary of the higher dimensional region is very complicated and the multi-dimensional complex analysis theory is very whimsical, which make it difficult to be extended.

但对于多变量的Toeplitz算子和Hankel算子还有很多基本问题没有解决，对它们的研究也变得更加困难。一个很重要的原因就是高维区域的拓扑边界变得非常复杂以及多元复分析理论在其中的应用也更困难。

Different models for different structure sections are established, namely, one-dimensional piping model for laneway or large hole, two-dimensional structure plane model for absciss layer and contacting weathering zone, three-dimensional seeping fracture section model.

分区建立了采空区不同注浆结构部位的理论模型，包括采空区空洞或巷道的一维&管道&模型、离层与接触风化带等结构面二维模型、导水裂隙带三维模型。

Our idea of easy dimensional driving includes mainiy:(1) a driving mechanism of construction constraints and dimensional constraints,(2) automatic graphic recognition of constraints,(3) a bothway cross dimensional linked list for storing dimension sparse matrices and for recalling them,(4) a reasonable method of constraint consistence checking,(5) the linking of movement of 2D views,(6) a method for creating a sequence graphic library.

随着二维与三维设计技术的交叉发展，目前的参数化设计主要有两个分支：①面向纯二维的图形参数化，其特点是二维图形为多拓扑环的复杂图形；②面向三维的基于CSG特征造型的参数化，用于拉伸扫描的单拓扑环的二维图形参数化及空间任意曲面的参数化是其特点。

Based on summing-up of the existent design method of two-dimensional and three-dimensional inlets,a parametric design method of two-dimensional hypersonic inlet was established by analyzing the restrictiveness and sensitivity of the geometric parameter of the inlet.

在归纳二维进气道和三维侧压式进气道设计方法的基础上，通过参数制约关系分析和参数敏感性分析，提出了二维进气道的参数化设计方法。

The researcher points out the analytic methods and steps then uses the two-dimensional hydrodynamic model to analyze the simulation of watercourse. There are three two-dimensional hydrodynamic models (inclusive of the RMA2 model, HIVEL2D model and FESWMS model) which are included identical range and limitation in our graduate school. The researcher chose the two-dimensional hydrodynamic model as the proper tool which can be used to simulate the flowof the old street stream. Researcher will transvaluation the retaining ability of the watercourse and consider the practice requirements to make the proper govern suggestion, furthermore, the results can be used as the reference of relative principles.

本研究旨在提出分析方法与步骤，使用二维水理模式作一河道模拟分析，由於本研究所介绍三个二维水理模式（包含RMA2模式、HIVEL2D模式、FESWMS模式）均有其适用之范围以及限制之条件，故本研究选定一适合模拟老街溪之二维水理模式作为水理分析之工具，藉由分析之结果，重新评估该河段之防洪排洪能力，并就实际整体防洪需求做妥善的治理建议，使研究成果能提供相关对策之参考。

I think people in this lifetime in a rebirth.

我觉得人在这一生里其实也在轮回。

He had to tie her hands together.

他不得不把她的双手绑在一起。