A radio tag communication system, when a plurality of RW apparatuses are arranged in such a manner that communication areas of adjacent RW apparatuses overlap one another, makes the polarized waves of the adjacent RW apparatuses orthogonal to each other, and causes the tag to switch the polarization direction with the movement of the tag. One or more fuel bundles of the reactor core are then moved to new positions within the reactor core to increase a total energy, output of the reactor core as compared to continuing operation of the reactor core without the shutting down and moving steps. A filter shield is aligned with the air inlet to deflect an airstream entering the dirt vessel through the air inlet. The processors may be logical or physical processors. This invention also relates to a process and the resulting compositions for removing catalyst from a carboxylic acid composition to produce a post catalyst removal composition. According to an aspect of the invention, the method includes using a Chinese Remainder Theorem process to determine a series of digits in the weighted number system based on the RNS residue values.