Abstract: A system, method, and computer program product are provided for sorting a set of records in a sort run. As the records are sorted, metadata regarding the sort run is gathered, and subsequently used to determine bounds of two or more disjoint subsets of the sort run. This enables the parallelization of several tasks over the sort run data using efficient, dynamic bounds determination, such as the outputting of sorted data from the disjoint subsets in parallel.

Abstract: The present invention is related to multi-dimensional error definition, error measurement, error analysis, error function generation, error information optimization, and error correction for communication systems. Novel techniques are provided that can be applied to a myriad of applications for which an input to output transfer characteristic must be corrected or linearized. According to embodiments of the present invention, error can be described, processed, and geometrically interpreted. Compact formulations of error correction and calibration functions can be generated according to the present invention, which reduce memory requirements as well as computational time.