MEASURING ANISOTROPY IN PLANAR SETS

Toby C. ONeil

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MEASURING ANISOTROPY IN PLANAR SETS

机译：测量平面集合中的各向异性

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摘要

We define and discuss a pure mathematics formulation of an approach proposed in the physics literature to analysing anistropy of fractal sets.

机译：我们定义和讨论物理学文献中提出的一种用于分析分形集的人类学方法的纯数学公式。

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来源
《Real analysis exchange》 |2018年第1期|51-56|共6页
作者
Toby C. ONeil;
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作者单位

School of Mathematics and Statistics, The Open University, Milton Keynes, MK7 6AA, United Kingdom;

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原文格式 PDF
正文语种 eng
中图分类
关键词
anisotropic dimension spectrum; Hausdorff dimension; anisotropy;

机译：各向异性尺寸谱;Hausdorff尺寸;各向异性;

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专利

1. Tensorial Minkowski functionals and anisotropy measures for planar patterns [J] . G.E. SCHRODER TURK, S. KAPFER, B. BREIDENBACH, Journal of Microscopy . 2010,第1期

机译：平面图案的张量Minkowski泛函和各向异性测度
2. Determination of the resistivity anisotropy of SrRuO_3 by measuring the planar Hall effect [J] . Isaschar Genish, Lior Klein, James W. Reiner, Physical review. B, Condensed Matter And Materials Physics . 2007,第12期

机译：通过测量平面霍尔效应确定SrRuO_3的电阻率各向异性
3. On measuring the fractal anisotropy of 2-D geometrical sets: application to the spatial distribution of fractures. [J] . Perez Lopez R, Paredes C Geoderma: An International Journal of Soil Science . 2006,第3a4期

机译：在测量二维几何集合的分形各向异性时：在裂缝的空间分布中的应用。
4. Shape based circularity measures of planar point sets [C] . Stojmenovic Milos, Nayak Amiya IEEE International Conference on Signal Processing and Communications . 2007

机译：平面套装形状的圆形测量
5. A High Resolution Measurement of Temperature Anisotropies in the Cosmic Microwave Background Radiation with the Complete ACBAR Data Set [D] . Reichardt, Christian L. 2008

机译：使用完整的ACBAR数据集高分辨率测量宇宙微波背景辐射中的温度各向异性
6. Orthogonal Invariant Sets of the Diffusion Tensor and the Development of a Curvilinear Set Suitable for Low-Anisotropy Tissues [O] . Robin A. Damion, Aleksandra Radjenovic, Eileen Ingham, -1

机译：扩散张量的正交不变集和适用于低各向异性组织的曲线集的发展
7. Determination of the resistivity anisotropy of SrRuO$_{3}$ by measuring the planar Hall effect [O] . Genish, Isaschar, Klein, Lior, Reiner, James W., 2006

机译：通过测量确定srRuO $ _ {3} $的电阻率各向异性平面霍尔效应
8. Measuring uncertainty by extracting fuzzy rules using rough sets and extracting fuzzy rules under uncertainty and measuring definability using rough sets [R] . Worm, Jeffrey A., Culas, Donald E. 1991

机译：通过粗糙集提取模糊规则并在不确定条件下提取模糊规则并使用粗糙集测量可定义性来测量不确定性

MEASURING ANISOTROPY IN PLANAR SETS

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