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Average, standard deviation and rms of vector/scalar fields

AF = **averf**(F) returns the average of the vector/scalar fields F.
AF is a field of the same type as F (i.e., vector or scalar), whose
elements are the average of the elements of the fields F. Depending on
the nature of the fields, AF corresponds to a time average, an ensemble
average, or a phase average.
[AF, STD, RMS] = **averf**(F,..) returns additional scalar fields:
- STD, standard deviation: at each location (x,y), one has:
STD(u) = < [ u - <u> ]^2 >^(1/2), where <> is a temporal avg.
- RMS, root mean square: at each location (x,y), one has:
RMS(u) = < u^2 >^(1/2)
By default, **averf** considers that the zero elements of F are erroneous,
and does not include them in the computations. If however you want to
force the zero elements to be included in the computations, specify
**averf**(F,'0').
If no output argument is specified, the average field AF is displayed.

**Examples**
v = loadvec('*.vc7');
showf(**averf**(v));
[m, std, rms]=**averf**(vec2scal(v,'uy'));
showf(std);
**averf** *.vc7 % shows the average of the files matching *.vc7

**See Also**
smoothf, spaverf, subaverf, azaverf, phaseaverf, statf
Published output in the Help browser
showdemo **averf**

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