It studies these populations in the past, present and future using quantitative data and mathematical models as tools of analysis.
它使用定量数据和数学模型作为分析工具，研究这些人口在过去、现在和未来的情况。
The result will offer reference data for design of involute gear and optimization of parameter choice, and offer new mathematical model for numerical analysis of root stress.
其计算结果将为渐开线齿轮设计、参数优化选择等提供参考数据，同时为齿根应力数值分析提供了新的数学模型。
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