Sharp upper bound involving circuit layout system


Authors

Tianyong Han - College of Mathematics and Computer Science, Chengdu University, Chengdu, Sichuan, 610106, P. R. China. Shanhe Wu - Department of Mathematics, Longyan University, Longyan, Fujian, 364012, P. R. China. Jiajin Wen - College of Mathematics and Computer Science, Chengdu University, Chengdu, Sichuan, 610106, P. R. China.


Abstract

In this paper, the circuit layout system in a Euclidean space is defined. By means of the algebraic, analytic, geometry and inequality theories, a sharp upper bound involving circuit layout system is obtained as follows: \[\frac{1}{2}\sum_{1\leq j-i\leq N-1, 1\leq i\leq N}\| A_j^*-A^*_i\|\leq\frac{1}{4}\sqrt{N(1+\max|\cos\angle A_i|)}\csc^2\frac{\pi}{2N}\sqrt{\sum^n_{i=1}\| A_{i+1}-A_i\|^2}.\]


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ISRP Style

Tianyong Han, Shanhe Wu, Jiajin Wen, Sharp upper bound involving circuit layout system, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 4, 1922--1935

AMA Style

Han Tianyong, Wu Shanhe, Wen Jiajin, Sharp upper bound involving circuit layout system. J. Nonlinear Sci. Appl. (2016); 9(4):1922--1935

Chicago/Turabian Style

Han, Tianyong, Wu, Shanhe, Wen, Jiajin. "Sharp upper bound involving circuit layout system." Journal of Nonlinear Sciences and Applications, 9, no. 4 (2016): 1922--1935


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