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2007 Monotonicity of a Key Function Arised in Studies of Nematic Liqorder Crystal Polymers
Hongyun Wang, Hong Zhou
Abstr. Appl. Anal. 2007: 1-7 (2007). DOI: 10.1155/2007/76209

Abstract

We revisit a key function arised in studies of nematic liqorder crystal polymers. Previously, it was conjectured that the function is strictly decreasing and the conjecture was numerically confirmed. Here we prove the conjecture analytically. More specifically, we write the derivative of the function into two parts and prove that each part is strictly negative.

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Hongyun Wang. Hong Zhou. "Monotonicity of a Key Function Arised in Studies of Nematic Liqorder Crystal Polymers." Abstr. Appl. Anal. 2007 1 - 7, 2007. https://doi.org/10.1155/2007/76209

Information

Published: 2007
First available in Project Euclid: 27 February 2008

zbMATH: 1140.33310
MathSciNet: MR2345987
Digital Object Identifier: 10.1155/2007/76209

Rights: Copyright © 2007 Hindawi

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