I worked today with Katherine Alsfelder (NYU) to develop statistics on APOGEE spectra: There are two spectrographs (one in the North and one in the South) and there are 300 fibers per spectrograph. How many stars have been observed in each of the 600 different options, and how many of the 600-choose-2 options have seen the same star? This all in preparation for empirical cross-calibration of the spectrographs. There is a lot of data! But 600-choose-2 is a huge number.
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