How Round is a Plane Figure?

ARJUN TAN

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How Round is a Plane Figure?

机译：平面图有多圆？

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The obscure isoperimetric quotient, henceforth called the roundness coefficient, is proposed as a measure for the roundness of a plane figure. The roundness coefficients of several classes of regular and irregular figures are calculated. It is found that convex boundary sections of a figure generally enhance the roundness coefficient and straight boundary sections do not. Concave boundary sections are extremely detrimental to the roundness coefficient. Also, elongation of a figure diminishes the roundness coefficient.

机译：提出了一种晦涩的等商，此后称为圆度系数，作为平面图形的圆度的量度。计算几类规则和不规则图形的圆度系数。发现图形的凸边界部分通常会提高圆度系数，而直边界部分则不会。凹形边界截面对圆度系数极为不利。另外，图形的伸长会降低圆度系数。

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《Mathematical spectrum》 |2016年第2期|共5页
作者
ARJUN TAN;
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正文语种 eng
中图分类数学;
关键词
obscure; isoperimetric; quotient;

机译：晦涩;等距;商;

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专利

1. How Round is a Plane Figure? [J] . ARJUN TAN Mathematical spectrum . 2016,第2期

机译：平面图有多圆？
2. To round or not to round; Significant figures and inexactness [J] . J. T. Jones, M. F. Berard Ceramic Industry . 1996,第10期

机译：舍入或舍弃；舍入重要数字和不准确
3. Nonreflecting impedance planes and plane figures [J] . Katsenelenbaum B. Z. Journal of Communications Technology and Electronics . 2015,第1期

机译：非反射阻抗平面和平面图
4. Applying Bruner's Theory using Mini Laboratory on Plane Figures Topic [C] . Zuhri D., Sehatta Saragih Indonesian Communication Forum of Teacher Training and Education Faculty Leaders International Conference on Education . 2018

机译：在平面数字上使用迷你实验室应用布鲁纳理论
5. Teachers' definition constructions and drawing productions of basic plane figures: An investigation using the van Hiele theory. [D] . Viglietti, Janine M. 2011

机译：教师的定义构造和基本平面图形的图形制作：使用van Hiele理论进行的调查。
6. Proliferative characteristics of the ependymal layer during the early development of the mouse diencephalon, as revealed by recording the number, location, and plane of cleavage of mitotic figures. [O] . I H Smart 2016

机译：通过记录有丝分裂图的数量，位置和分裂平面可以揭示小鼠间脑早期发育过程中室管膜层的增殖特征。
7. Figure 5: Clustering of a synthetic (Lancichinetti, Fortunato Radicchi, 2008) benchmark network: (A) F-score = 0.7693 (10 seed nodes, 1 round of agglomeration), (B) F-score = 0.8782 (20 seed nodes, two rounds of agglomeration). [O] . -1

机译：图5：合成的聚类（LANCICHINETTI，FORTUNATI和RADICCHI，2008）基准网络：（a）f-score = 0.7693（10个种子节点，1轮附聚），（b）f分数= 0.8782（20个种子节点，两轮聚集）。
8. Plane-Sweep Algorithms for Intersecting Geometric Figures [R] . Nievergelt, J., Preparata, F. P. 1979

机译：用于相交几何图形的平面扫描算法

How Round is a Plane Figure?

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