Mathematical Models of Classification and Mass Calculation

Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 219)


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.


Moment of inertia Leaf vein Morphological classification Biohomologous evolution 



The authors wish to thank the supports of National Natural Science Foundation of China (No. 61170317, 11126213).


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Copyright information

© Springer-Verlag London 2013

Authors and Affiliations

  1. 1.College of SciencesHebei United UniversityTangshanChina

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