This time we are looking on the crossword puzzle clue for: Almost.
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Random information on the term “Almost”:
In mathematics, the term “almost all” means “all but a negligible amount”. More precisely, if X is a set, “almost all elements of X” means “all elements of X but those in a negligible subset of X”. The meaning of “negligible” depends on the mathematical context; for instance, it can mean finite, countable, or null.
In contrast, “almost no” means “a negligible amount”; that is, “almost no elements of X” means “the elements of some negligible subset of X”.
Throughout mathematics, “almost all” is sometimes used to mean “all (elements of an infinite set) but finitely many”. This use occurs in philosophy as well. Similarly, “almost all” can mean “all (elements of an uncountable set) but countably many”.[sec 1]
When speaking about the reals, sometimes “almost all” means “all reals but a null set”.[sec 2] Similarly, if S is some set of reals, “almost all numbers in S” can mean “all numbers in S but those in a null set”. The real line can be thought of as a one-dimensional Euclidean space. In the more general case of an n-dimensional space (where n is a positive integer), these definitions can be generalised to “all points but those in a null set”[sec 3] or “all points in S but those in a null set” (this time, S is a set of points in the space). Even more generally, “almost all” is sometimes used in the sense of “almost everywhere” in measure theory,[sec 4] or in the closely related sense of “almost surely” in probability theory.[sec 5]