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Let $A\subseteq \mathbb{R}^n$ be open and $f:\mathbb{R}^n\to \mathbb{R}^m$ be $\mu$ locally integrable, where $\mu$ is a Radon measure (on $\mathbb{R}^n$).
How to construct compactly supported continuous functions $\varphi_k:\mathbb{R}^n\to\mathbb{R}^m$ with $\text{spt}\varphi_k\subseteq A$ and $...
In colloquial language, an average is a single number taken as representative of a list of numbers. Different concepts of average are used in different contexts. Often "average" refers to the arithmetic mean, the sum of the numbers divided by how many numbers are being averaged. In statistics, mean, median, and mode are all known as measures of central tendency, and in colloquial usage any of these might be called an average value.
== Calculation ==
=== Pythagorean means ===
The arithmetic mean, the geometric mean and the harmonic mean are known collectively as the Pythagorean means.
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