查询词典 topological dimension

As indicated by the cross-hatching in Figure 6B, the center-most PDL has one nearest neighbor PDS above it along the vertical dimension, one nearest neighbor PDS below it along the vertical dimension, one nearest neighbor PDS to the right in the horizontal dimension, and one to the left along the horizontal dimension.

如图六B中交叉区块所描绘者，最中间的光电二极体PDL部位的垂直方向上有一最靠近的光电二极体PDS部位位於其上方，一个最靠近的光电二极体PDS部位位於其下方，以及一个最靠近的光电二极体PDS部位位於水平方向上的左方，一个最靠近的光电二极体PDS部位位於水平方向上的右方。

Fractal dimension structure of the Cosmos are explored, and the mathematical foundation, which include the expressions of fractal dimension differential and calculus, regular space integral solutions of fractal dimension differential equations, the fractal calculus definitions of fractal measure as well as the measure computational equation of self-similar fractal, of fractal dimension calculus and fractal measure are given.

摘 要：探讨了宇宙分维构造的形式，给出了分维微积分及分形测度的数学基础，包括分维导数及分维微积分的表述形式、分维微分方程的规整空间积分解、分形测度的分维微积分定义及自相似分形的测度计算方程。

That a root system growth is more complete when fractal dimension value is higher, and when a growth of root system is simple and slow, then its fractal dimension value is smaller, and the same fractal dimension or the dimension is near, the form construction of root system becomes to similar.

当碎形维度值愈高，根系生长愈复杂，当碎形维度值愈低其根系的生长型态较简单且生长较慢，而且当两者之碎形维度很接近时其生长的型态也非常相似。

Result shown: value of fractal dimension is a comprehensive index, which reflect the changes of landscape, patch areas, patch numbers, area per patch, and their interaction. And the index can reflect the irregular degree and the complex degree of landscape patch in dumping place. The fractal dimension of mixed vegetation of arbors – shrubs and mixed vegetation of shrubs maintain the high level, while fractal dimension of new reclamation land and grass land are low. The difference of other type landscape fractal dimension is not significant. Vegetation landscape is influenced by many kinds of factors. It is primarily influenced by surface material composition and terrain in south and west dumping place, which diversity index is high. It is primarily influenced by vegetation type in inner dumping place and expanded west dumping place. The landscape multiplicity index of the mixed vegetation of grass and shrubs is higher than other landscape type, but landscape dominance index of this area maintains on the lower level.

结果表明：分维数的大小反映了景观斑块面积、斑块数量和平均斑块面积等因素的相互作用，反映了排土场内景观斑块的不规则程度和复杂程度；乔灌混交地和灌木混交地保持着较高的分维数，新造复垦地和草地的分维数较低，其它景观类型的分维数则差别不大；植被景观受多种因子的影响，在南排土场、西排土场受地表物质组成和地形的影响为主，其多样性指数较高，在内排土场、西排扩大区受植被类型的影响为主；草灌混交地的景观多样性远高于其它现有的复垦植被区，但其景观优势度则保持在较低水平上。

The desulfurization experiments of CaO samples with various fractal dimensionswere carried out in the TGA to investigate the influences of fractality on the sulfationreaction, and the evolution of pore structures during the reaction. Under certainsulfation conditions, the calcium conversions of the CaO samples increase with theincrease in fractal dimension when fractal dimension is less than 2.68, and decreaseswhen it is more than 2.68. In the range of the experiment temperatures, the calciumconversion for a sample with a lower fractal dimension increases with the increase inthe temperature, and for a sample with a higher fractal dimension there exist anoptimum temperature at which the sample can reach the highest calcium conversion.

选用具有不同分形结构的CaO试样进行了硫化实验，研究孔结构的分形特性对硫化反应的影响以及硫化过程中分形孔结构的变化特性，实验结果表明，在一定的分形维数范围内，随着分形维数的增加，钙利用率增大，但分形维数超过一定值时(约为2.680)，钙利用率反而降低。

According to simple computation, good anti-noise ability and low precision of Katz algorithm and complex computation and good precision of box-counting dimension and correlation dimension, an Improvement fractal algorithm Based on Wave is presented and analyzed through the fractal Brown curve and noisy speech according to the characteristic of the box dimension and Katz dimension.

摘要该文针对目前的分维计算方法——盒维、关联维等精度虽高，但计算复杂，Katz维计算简单、抗噪性能好、但精度不高的现状，提出了一种改进的基于波形的算法——IBW-FD，分析了对分形布朗曲线、含噪语音(高斯白噪声，三种非平稳噪声)的性能。

Shoe last from two-dimension to three-dimension and from three-dimension to two-dimension have been realized.

该设计使得鞋楦二维到三维和三维到二维的转换得到统一实现。

In Chapter One we introduce briefly the historic background and notions of topological system and some known results about topological system in one dimension.

在第一章中，我们简单地介绍了拓扑动力系统的历史背景和一些基本概念以及一维动力系统中的一些已知结果。

Thus the topological invariants, including dimension, the number of separates, type of components, and sequence of components, are introduced for detailed classifications of topological relations.

这些模型都是在其分类层次上对面目标间拓扑关系的完备描述，并且它们的区分能力是层次递进的。

After a brief introduction of Three Dimensional Boolean Operation concepts, we illustrated the way how to decrease the procedure from three dimension to two dimension, and discussed on those singular problems, so that we can get the three dimensional topological information.

在简要的描述三维布尔运算基本概念后，我们给出了具体的三维到二维的降维过程，讨论了在二维空间中解决奇异问题的方法，最后得到三维重构拓扑信息。

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。