Rigorous Derivation of the Radius of Gyration Generating Functions for Directed Convex Polygons

被引：0

作者：

Lin, Keh Ying ^{[1
]}

机构：

[1] Natl Tsing Hua Univ, Dept Phys, Hsinchu 300, Taiwan

来源：

CHINESE JOURNAL OF PHYSICS | 2009年 / 47卷 / 05期

关键词：

AREA-WEIGHTED MOMENTS; MEAN-SQUARED RADIUS; LATTICE;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We have rigorously derived the perimeter generating function for the mean-squared radius of gyration of directed convex polygons. This function was first conjectured by Jensen. His nonrigorous result was based on an analysis of long series expansions.

引用

页码：598 / 612

页数：15

共 50 条

[1] Rigorous derivation of the radius of gyration generating function for staircase polygons
Lin, Keh Ying
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (06) : 1419 - 1426
[2] Rigorous derivation of the perimeter generating function for the mean-squared radius of gyration of convex polygons
Lin, Keh Ying
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (26)
[3] Rigorous derivation of the perimeter generating functions for the mean-squared radius of gyration of rectangular, Ferrers and pyramid polygons
Lin, KY
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (27): : 8741 - 8745
[4] Perimeter generating functions for the mean-squared radius of gyration of convex polygons
Jensen, I
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (46): : L769 - L775
[5] An optimal algorithm for the intersection radius of a set of convex polygons
Jadhav, S
Mukhopadhyay, A
Bhattacharya, B
JOURNAL OF ALGORITHMS-COGNITION INFORMATICS AND LOGIC, 1996, 20 (02): : 244 - 267
[6] AN OPTIMAL ALGORITHM FOR THE INTERSECTION RADIUS OF A SET OF CONVEX POLYGONS
JADHAV, S
MUKHOPADHYAY, A
BHATTACHARYA, B
LECTURE NOTES IN COMPUTER SCIENCE, 1992, 652 : 92 - 103
[7] THE THEORY OF CONVEX CONTINUATIONS OF FUNCTIONS AT THE VERTICES OF CONVEX POLYGONS
YAKOVLEV, SV
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1994, 34 (07) : 959 - 965
[8] Rigorous Movement of Convex Polygons on a Path Using Multiple Robots
Chamoun, Pierre
Lanthier, Mark
2012 IEEE INTERNATIONAL SYMPOSIUM ON ROBOTIC AND SENSORS ENVIRONMENTS (ROSE 2012), 2012, : 174 - 179
[9] RIGOROUS RESULTS FOR THE NUMBER OF CONVEX POLYGONS ON THE SQUARE AND HONEYCOMB LATTICES
LIN, KY
CHANG, SJ
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (11): : 2635 - 2642
[10] CONVEX POLYGONS AND RATIONAL CONTINUATION OF FUNCTIONS
RIEGER, GJ
MATHEMATISCHE NACHRICHTEN, 1972, 53 (1-6) : 13 - &

← 1 2 3 4 5 →