Almost : Nearly
In mathematics, especially in set theory, when dealing with sets of infinite size, the term almost or nearly is used to mean all the elements except for finitely many.In other words, an infinite set S that is a subset of another infinite set L, is almost L if the subtracted set L\S is of finite size.
This is conceptually similar to the Almost everywhere concept of Measure theory.
Examples:
- The set <math> S = \{ n \in \mathbf{N} | n \ge k \} </math> is almost N for any k in N, because only finitely many natural numbers are less than k.
- The set of prime numbers isn't almost N because there are infinitely many natural numbers that are not prime numbers.
Arkwright did not like to ask him again to alter
them again. So things went on till the mules and the boats had been
without much cost and trouble.
During the last ten days of their sojourn at San Jose, Mrs.
her sweet face during the last few months. Terror at that terrible
from the hope of being soon at home. She was thoroughly cowed by
Punt' Arenas, had it been now possible that she could so arrange it.
week from the time they started. Oh! if they could only wait for
between her and her husband, she had not the heart to say such words
silent thoughtful man, stern withal in his outward bearing, but
had left all, and come with him out to that dull distant place, was
days he was thinking much of her coming troubles. Why had he given
days of their sojourn in San Jose passed away from them. Once.
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