Methods and apparatus for preventing physical hybrid automatic repeat request indicator channel ambiguities or collisions, for example, in a multi-carrier system or when transmitting multiple streams over multiple antennas, are described. The transaction information may be processed using different rule sets, based on the financial instrument used for the transaction. The clear sky view solid angle shared by the terrestrial nodes is determined. The apparatus includes speculative operand calculation logic and an update forwarding cache. Further, several bearings are introduced to align shafts and absorb thrust created while applying pressure to a work piece.