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《Journal of Nantong University(Natural Science Edition)》 2013-01
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Some Trigonometric Identities Associated with the Resistance Network

TAN Zhi-zhong(School of Sciences,Nantong University,Nantong 226007,China)  
Research in the equivalent resistance formula for any m×n-resistor network is always a difficult problem of science,among which,derivation of the universal formula of equivalent resistance involves establishment and proof of some trigonometric identities.In the actual need of our study in the equivalent resistance of resistance network,in this paper,six related trigonometric identities together with six corollaries set are established and proved.The main methods of proof are transformation and structure,meanwhile,an identity conjecture is put forward at the end of this paper.
【Fund】: 南通大学自然科学基金项目(11Z054);; 南通大学教学研究项目(2011B06)
【CateGory Index】: O124;O441
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