Photometry of individual sources requires an initial phase of detection. The detection process can be separated into two phases: (1) preprocessing of the image, and (2) actual detection, yielding a list of discrete sources. Given a distribution of background intensities, the probabilityof intensitydeviations for light sources as a result of the background can be calculated. Setting a maximum ac...

1.1.3.) Produce a statistical summary that includes: (a.) counters for the spectral combinations produced, binned by brightest-band magnitude; (b.) mean position offsets and variances on both position axes for all band-pair combinations; (c.) chi-square values for all band-pair position discrepancies, binned by brightest-band magnitude. Items (b.) and (c.) will use only bandmerged sources with ...

We construct a perturbative solution to classical noncommutative gauge theory on R3 minus the origin using the Groenewald-Moyal star product. The result describes a noncommutative point charge. Applying it to the quantum mechanics of the noncommutative hydrogen atom gives shifts in the 1S hyperfine splitting which are first order in the noncommutativity parameter.