Continuing in a course of action without regard to discouragement, opposition or previous failure.
The property of being persistent.
“You’ve got to admire his persistence. He’s asked her out every day for a month even though she keeps turning him down.”
Of data, continuing to exist after the execution of the program.
“Once written to a disk file, the data has persistence: it will still be there tomorrow when we run the next program.”
Continuation of the previous day’s weather (particularly temperature and precipitation statistics).