"2012 MCM获奖论文：树叶总质量估算与形状关系研究"

In the 2012 Mathematical Contest in Modeling, Team Control Number 15065 chose Problem A to address in their paper. The team constructed a mathematical model to estimate the total leaf mass of a tree while also exploring the relationship between leaf shape and tree profile. Their approach to the problem consisted of two main components. First, they developed a method to estimate the total leaf mass of a tree based on the measurement of a single leaf. This involved creating a mathematical model that took into account various factors such as leaf area, thickness, and density. By analyzing these variables, the team was able to accurately predict the total leaf mass of a tree with a high level of precision. Additionally, the team investigated the relationship between leaf shape and tree profile. They conducted a series of experiments to determine how different leaf shapes affected the overall growth and appearance of a tree. By analyzing the data collected from these experiments, the team was able to identify patterns and correlations that provided valuable insights into the impact of leaf shape on tree development. Overall, the team's paper not only addressed the specific problem presented in the contest but also contributed to the broader understanding of tree biology and ecology. Their mathematical model and experimental approach provided a comprehensive analysis of the factors influencing leaf mass and tree profile, highlighting the complex interplay between these variables. The team's innovative techniques and rigorous methodology exemplify the high level of research and analysis required to excel in mathematical modeling competitions like the MCM.