Monotonicity of a key function arised in studies of nematic liquid crystal polymers
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Authors
Zhou, Hong
Wang, Hongyun
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2007
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Hindawi Publishing Corporation
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Abstract
We revisit a key function arised in studies of nematic liquid 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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Abstract and Applied Analysis, Vol. 2007, Article ID 76209, 7 pages, 2007.
The article of record as published may be found at http://dx.doi.org/10.1155/2007/76209
The article of record as published may be found at http://dx.doi.org/10.1155/2007/76209
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Monotonicity of a key function arised in studies of nematic liquid crystal polymers (with H. Wang), Abstract and Applied Analysis, Vol. 2007, Article ID 76209, 7 pages, 2007.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.