In fact, there are some very old books that show this as the average, the sum divided by two arithmetic mean, but the modern practice is to use the geometric mean.

事实上，一些很老的书籍上，平均的定义就是算数意义的，总的来说被分为两种算数意义，但现代我们多用几何意义。

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This paper discussed the theorem of the average arithmetic geometric mean of algebraic polynomials systematically, then derived and analyzed the original geometric programming (GP) briefly.

系统地讨论了代数多项式的算术- 几何均值定理，并对原型几何规划理论作出了简明的推导与分析。

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Then, formulate a general weight function based on weight arithmetic, weight geometric and weighted harmonic mean, which provides math mean for the study.

然后根据算术均值方法、几何均值方法和调和均值方法，构造一个综合权重均值函数，为本文的研究提供了数学方法。

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