查询词典 partition of unity

Based on the partition of unity concept, the XFEM relaxes the prohibitive requirements for mesh density by improving the shape functions with the basic knowledge of discontinuous problems.

重点介绍XFEM的基本原理、实施步骤及应用实例等，并进行必要的评述。

This thesis focuses on surface reconstruction from point cloud model, and have discussed and extended three common methods: Moving Least Squares method, Radial Basis Functions method and Multi-level Partition of Unity method.

本文以点云模型曲面重构为研究对象，研究并扩展了三种常用曲面重构方法：最小移动二乘法(MLS：Moving Least Squares Method)法，径向基函数(RBF：Radial Basis Functions method)法和多层次单元分割(MPU：Multi-level Partition ofUnity method)法。

The detailed algorithm on analyzing cracks exploration inside blocks is: enriched approximations which describe singular crack tips fields and discontinuous crack faces are employed under the Partition of Unity theory; the enriched nodes surrounding crack tips or faces are respectively mapped with corresponding enriched degrees of freedom, and the solution of all these degrees of freedom is uniformly proceeded by the implicit iteration algorithm of DDA, then fracture and breakage of DDA blocks can be analyzed. The numeric examples show this algorithm is rational and efficient.

为此建立的无网格法裂纹扩展分析算法，采用满足单位分解条件的特殊增强型函数表达裂纹周围应力场的非连续、奇异特性，将对应的扩展自由度动态映射到裂纹周围的节点上，统一按DDA法隐式迭代方式求解，实现块体裂纹扩展和强度分析，相关算例结果显示该算法是合理有效的。

More than 30 kinds of meshfree methods are reviewed in this paper in the light of weighted residual method, and different meshfree methods can be viewed as different forms of weighted residual method and/or with different approximation functions. Various kinds of meshfree approximate schemes are presented in detail, including moving least square approximation, kernel and reproducing kernel approximation, partition of unity approximation, radial basis approximation, radial point interpolation and natural neighbor interpolation.

详尽介绍了各种无网格近似方案(包括移动最小二乘近似、核近似和重构核近似、单位分解近似、径向基函数近似、点插值近似、自然邻接点插值近似等)和无网格法中常用的各类加权余量法(伽辽金格式、配点格式、局部弱形式、加权最小二乘格式和边界积分格式等)，并讨论了数值积分方法和边界条件的处理等问题。

If theharmonic index is finite,then each end may be represented by a non-constant positiveharmonic function,and these functions compose a partition of unity.For minimalhypersurfaces with finite total scalar curvature,we can explicitly estimate the harmonicindex.Moreover,the space of bounded harmonic functions are exactly generated bythose functions associated to each end.This gives geometric interpretations of the ends.

若调和指标有限，则每个端均可由一非常值的调和函数代表，它们形成了一个单位分解，对于全纯量曲率有限的极小超曲面，我们明确地估计了调和指标，进一步，有界调和函数正好由代表端的那些调和函数所生成，这就给出了端的几何解释。

Space-based colors on a gray hue, cultural brick wall with prominent simple varnish brush with an alternative, local-glass wall with a stainless steel folder at the same time a circumference of the partition, that is, to the expansion of virtual space, while a contemporary , There is a cohesion and unity of the Yun-Yi.

空间色彩上以灰色为主色调，墙面用文化砖刷清漆突出质朴与另类，局部墙面用清玻同时夹有不锈钢条进行圆周型的分割，即能虚拟式的扩展空间，同时具有现代感，有一种凝聚与团结的蕴意。

Remember this: I invite you to gather together here within this alcove, to create a heavenly unity – the unity of a mother and child.

请记著，我邀请你们聚集在这岩洞内，是要创造一个超绝的结合，一个母亲与孩子的结合。

As the brain learns algorithmic patterns of the Language of ONE, a deeper level of unity will be understood, and then out of such understanding unity relations will be more greatly born in the dance of life amongst ascending initiates.

当大脑学会全一之语的运作规则模式，你就能对统一获得更深入的理解水平，并出于这种理解，在你生命之舞中将更大诞生统一关系。

As the main streamofthe Chinese traditional culture ,Confucian ethics has establishedits"basic morality"or"mother morality"dur—ing the historical development of more than 2000years·The Confucianismthat flies its own color was formedthroughthe contention of a hundredschools ofthought duringthe pre －Qin period·When Dong Zhongshu made his suggestionthat restrained all the other schools but onlyrespectedConfucianismin Han Dynasty,the dominant position of Confucianismwas establishedin Chinese society·By virtue ofincorporatingthings of di—verse nature with unity of opposites inthe later dynasties ,the idealist philosophy of the Song and Ming Dynasties was developed which madeConfucianism,aoismand Buddhisminto a confluence unity·And the development of the modern Chinese society that criticized Confucianistthought would promote us to make ati melyreflection ofthe Confucianist ethics·Jung's analytical psychology provides us with aspecial angle ofresearchfor the comparison ofthe moral ideas between East and West

作为中国传统文化之主体的儒家伦理，已经确立了中国传统文化的"基德"或"母德"，这是在长达2000多年历史发展中形成的，经过先秦时期的百家争鸣，形成了独树一帜的儒家思想，董仲舒提出"抑黜百家、独尊儒术"的建议，确立了儒家在中国社会的统治地位。经过以后历代的兼收并蓄和对立融合，发展成为儒、道、佛融合一体的宋明理学，近代中国社会对儒家思想的批判性发展，促使人们对儒家伦理思想进行时代的反思。荣格的分析心理学思想为东西方道德观的比较提供了一种独特的研究视角。

The analytic unity of apperception is possible only under the presupposition of a certain synthetic unity.

统觉的分析的统一性惟有以某种综合的统一性为前提条件才是可能的。

I want to be a big fish in a small pond.

我要做一条在小池塘里的大鱼。

While the software functioned well, we did not feel the same about their customer support!

虽然该软件运行良好，我们没有同样的感觉他们的客户支持！