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> This is not a contradiction, because a priori is different data than a posteriori. The point can remain fixed with additional stochastic information; e.g. think about the stochastic model of a mark or of a bolt. In theory, the point is fixed, but in practice, positioning at that point provides uncertainties. 
> The original a priori data could be kept - i.e. not overwritten -, and, in addition, a posteriori data could be provided as a result. Even for a fixed point, the a posteriori precision might be different.
> 
> I didn't try it, but maybe one could artificially introduce "observations of direction 0 gon, vertical zenith angle 0 gon, and distance 0m" and include the stochastic information into that artificial observation as kind of a workaround? For an error ellipsoid, one could introduce artificial observation in the directions of the principal axes.
> 
> 
> > > So, I would like to know is there a way to import fixed points with known variances in JAG3d and adjust the network in a way that these variances affect the results of the adjustment but the imported fixed points remain unchanged?
> > 
> > No, there is no way because this contradict each other. You assume that the points have uncertainties. That means, the positions are only known to a certain extent, i.e., the points are improvable and, thus, not perfectly known (is not fixed).

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