查询词典 dimensional

Isomap is a nonlinear dimensionality reduction method proposed and based on the theory of manifold. It 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.

Isomap是提出的一种有效的基于流形理论的非线性降维方法，它不仅能够揭示高维观察数据的内在结构，还能够发现潜在的低维参教空间。

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。

Chapter 5 and 6 are concentrated on the fundamental problem how to con-struct finite-dimensional and infinite-dimensional Liouville integrable Hamiltonsystem.Starting from two isospectral problems,Tu's scheme is applied to gen-erate the corresponding CKdV hierarohy and coupled Burgers hievachy,andthey are shown to be Liouville integrable Hamilton systems.Two spectral prob-lems,which contain three and four potentials respectively,are also studied byTu's scheme.Two new Liouville integrable Hamilton hierarchy are estab-lished.A new general approach using Lenard's gradient sequence is presentedto obtain Lax integrable hierarchy and their zero curvature representation,andsome examples are given.The nonlinearization procedure is applied to theeigenvalue problem of coupled Burgerrs hierarchy.It is shown that underBargmann constraint,the spatial part of the Lax pairs is nonlimearized to be afinite-dimensional Liouville completeiy integrable Hamilton system.

第五、六章研究如何从一个谱问题出发构造可积发展方程族及其零曲率表示、Hamilton结构和判断Liouville可积性：通过对二类具有2个位势的等谱问题直接研究，利用屠格式生成了耦合KdV族和耦合Burgers族，并证明它们均为Liouville可积的广义Hamilton方程族；而通过分别具有3个和4个位势的等谱问题，遵循屠格式构造了二族新的Liouville可积的广义Hamilton方程族；给出了利用Lenard梯度递推序列产生发展方程族及其零曲率表示的一种方法，作为应用，讨论了CKdV族，BPT族及耦合Burgers族的产生及其零曲率表示；应用非线性化技巧，证明了在Bargmann约束下，耦合Burgers族的Lax组可被线性化为Liou-ville完全可积的Hamilton系统。

Objective To investigate the effects of interleukin-1 β converting enzyme gene on the biologic characteristics of ovarian cancer cells.

目的 探讨白细胞介素-1 β转换酶的表达，对卵巢癌细胞生物学特性的影响。

Campylobacter: This illness is the most commonly identified cause of diarrheal illness in the world.

弯曲：这种病是最常见的原因查明腹泻病，在世界上。