Mathematical Models of Classification and Mass Calculation
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.
KeywordsMoment 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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