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2013 | OriginalPaper | Chapter

64. Mathematical Models of Classification and Mass Calculation

Authors : Jincai Chang, Aimin Yang, Liyu Chen

Published in: Proceedings of the International Conference on Information Engineering and Applications (IEA) 2012

Publisher: Springer London

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Abstract

People are familiar with trees, which have a lot of unsolved mysteries. “How much do the leaves on a tree weigh?” is one of the unsolved questions that frequently rise. To figure out the answer, this paper, under some ideal hypotheses, applies biologics, mechanics, and mathematics comprehensively to build mathematical models of leaf shapes and classification, and proposes a progressive approximation method to estimate leaf mass. This paper analyzes the correlation between leaf mass and the size characteristic of a tree with the model mentioned above, and analyzes the results, comparing them with actual situations, and it proposes, accordingly, an expanding model for obtaining leaf mass.

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Metadata
Title
Mathematical Models of Classification and Mass Calculation
Authors
Jincai Chang
Aimin Yang
Liyu Chen
Copyright Year
2013
Publisher
Springer London
DOI
https://doi.org/10.1007/978-1-4471-4853-1_64