+,C_{m,n}^y sin left[ n cdot mathrm {atan2}left( q_y, q_x) right) right] right}, end{aligned} (4 where ((C_{m,n}^x,C_{m,n}^y)) are the coefficients of the two orthogonal aberrations of order (m, n) in units of radians, and (mathrm {atan2}(q_y, q_x)) is the arctangent function which returns the correct sign in all quadrants (all combinations of signs of (q_x) and (q_y)).
In contrast to the classical optical errors, the wavefront aberrations of higher order can not be corrected by means of glasses or contact lenses.
We observe that a minimum aberration blocking scheme with estimability of order e uniquely corresponds to a minimum aberration design of resolution R= e+1 and vice versa.
First, all existing minimum aberration designs of resolution III or higher can be used to obtain minimum aberration blocking schemes with estimability of order 2 or higher.
Second, resolution II designs of minimum aberration are now of both theoretical and practical importance as they provide solutions to minimum aberration blocking schemes with estimability of order 1.
A reduction of chromatic aberration by two orders of magnitude was demonstrated using such a system.
There is nevertheless a need to investigate the spectrum of copy number aberrations in order to identify potential target genes in the altered chromosomal regions.
The irony is that that which we see as beautiful is an aberration of nature and the natural order – a discrimination in which even animals are complicit.
Or Speer's suggestion that democracy is inherently not German and the Weimar Republic an aberration of Germanness because "tight public order was in our blood".
Or Speer's suggestion that democracy is inherently not German and the Weimar Republic an aberration of Germanness because "tight public order was in our blood". Right-wing populism is rising again around the world, and it is hard not to look for lessons here.
In this case the recorded WF error was 0.16 µm and the main source of aberration was third order spherical aberration (see Figs. 6, a, b, and c).
