საშუალო კვადრატული: განსხვავება გადახედვებს შორის

 
where <math>R</math> represents the [[Ideal Gas Constant]] (in this case, 8.314&nbsp;J/(mol·K)), <math>T</math> is the temperature of the gas in [[kelvin]]s, and <math>M</math> is the [[molar mass]] of the gas in kilograms. Note that the unit of mass is in kilograms.
 
==RMS in frequency domain==
 
The RMS can be computed also in frequency domain. The [[Parseval's theorem]] is used. For sampled signal:
 
<math>\sum\limits_{n}{{{x}^{2}}(t)}=\frac{\sum\limits_{n}{{{\left| X(f) \right|}^{2}}}}{n}</math>, where <math>X(f)=FFT\{x(t)\}</math>, <math>n</math> is number of <math>x(t)</math> samples.
 
In this case, the RMS computed in time domain is the same as in frequency domain:
 
<math>RMS=\sqrt{\frac{1}{n}\sum\limits_{n}{{{x}^{2}}(t)}}=\frac{1}{n}\sqrt{\sum\limits_{n}{{{\left| X(f) \right|}^{2}}}}=\sqrt{\sum\limits_{n}{{{\left| \frac{X(f)}{n} \right|}^{2}}}}</math>
 
==Relationship to the arithmetic mean and the standard deviation==
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