All the parts which compose a whole collection or aggregate number, considered in their individuality, all taken separately one by one, out of an indefinite number.
source: Webster 1913
adjective satellite
(used of count nouns) each and all of the members of a group considered singly and without exception
Every person is mortal. Every party is welcome. Had every hope of success. Every chance of winning.
source: WordNet 3.0
each and all of a series of entities or intervals as specified