Hi,(adsbygoogle = window.adsbygoogle || []).push({});

There are three variables ax, ay and az, my question is:

How to simplify the mean value <(ax^2+ay^2+az^2)^(1/2)> to <|ax|> ?

What assumptions are required during the simplification?

The statistical property of ax, ay and az is <ax^2>=<ay^2>=<az^2>.

The assumption of the propability is: pdf(ax), pdf(ay) and pdf(az) are independent to each other: p(ax,ay,az)=p(ax)p(ay)p(az)

Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Mean, simplified from 3D to 1D

**Physics Forums | Science Articles, Homework Help, Discussion**