论文标题
“含义”到底是什么意思？
What Does the "Mean" Really Mean?
论文作者
论文摘要
观察到的均匀收集数量的观测值集合的算术平均值通常被视为最具代表性的观察结果。有几个论点支持这种选择，而惯性是最熟悉的时刻。但是这是什么意思？ 在本说明中，我们提出了kolmogorov-nagumo的观点，即算术平均值是一种特殊类型的功能序列的特殊情况，二次和几何方式是其他一些情况。中位数不属于此类功能。 Kolmogorov-Nagumo的解释是算术平均值的最具辩护性和最明确的解释，但其本质归结为以下事实：该平均值仅仅是一种抽象，仅在其数学设置中具有含义。
The arithmetic average of a collection of observed values of a homogeneous collection of quantities is often taken to be the most representative observation. There are several arguments supporting this choice the moment of inertia being the most familiar. But what does this mean? In this note, we bring forth the Kolmogorov-Nagumo point of view that the arithmetic average is a special case of a sequence of functions of a special kind, the quadratic and the geometric means being some of the other cases. The median fails to belong to this class of functions. The Kolmogorov-Nagumo interpretation is the most defensible and the most definitive one for the arithmetic average, but its essence boils down to the fact that this average is merely an abstraction which has meaning only within its mathematical set-up.
