# Dictionary Definition

nearly adv

1 (of actions or states) slightly short of or not
quite accomplished; `near' is sometimes used informally for
`nearly' and `most' is sometimes used informally for `almost'; "the
job is (just) about done"; "the baby was almost asleep when the
alarm sounded"; "we're almost finished"; "the car all but ran her
down"; "he nearly fainted"; "talked for nigh onto 2 hours"; "the
recording is well-nigh perfect"; "virtually all the parties signed
the contract"; "I was near exhausted by the run"; "most everyone
agrees" [syn: about,
just
about, almost,
most, all but, near, nigh, virtually, well-nigh]

2 in a close manner; "the two phenomena are
intimately connected"; "the person most nearly concerned" [syn:
closely, intimately]

# User Contributed Dictionary

## English

### Pronunciation

### Adverb

- almost, but not quite; slightly short of
- intimately

#### Translations

almost, but not quite

- Arabic:
- Chinese: 几乎 (jīhū)
- Dutch: bijna
- Finnish: lähes, melkein
- French: presque
- German: beinahe
- Hungarian: majdnem
- Italian: quasi
- Japanese: 殆ど (ほとんど, hotondo)
- Korean: 거의 (geo-ui)
- Portuguese: quase
- Russian: около (ókolo), почти (počtí), приблизительно (priblizítel’no)
- Slovak: takmer
- Spanish: casi
- Swedish: nästan

# Extensive Definition

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.

Examples:

- The set S = \ is almost N for any k in N, because only finitely many natural numbers are less than k.
- The set of prime numbers is not almost N because there are infinitely many natural numbers that are not prime numbers.

This is conceptually similar to the almost
everywhere concept of measure
theory, but is not the same. For example, the Cantor set is
uncountably
infinite, but has Lebesgue
measure zero. So a real number
in (0, 1) is a member of the complement of the Cantor set
almost everywhere, but it is not true that the complement of the
Cantor set is almost the real numbers in (0, 1).

## See also

nearly in German: Fast alle

nearly in Esperanto: Vikipedio:Projekto
matematiko/Preskaŭ

nearly in Hungarian: Majdnem

nearly in Chinese: 幾乎

# Synonyms, Antonyms and Related Words

about,
all but, all in all, almost, almost entirely, approaching, approximately, around, as good as, barely, by and large, chiefly, circa, close, close to, closely, effectually, essentially, exactly, hardly, identically, in, in effect, in essence, in the
main, just about, mainly,
more or less, most,
mostly, much, narrowly, near, nearabout, nearing, nigh, nighhand, not quite, on
balance, on the whole, only just, plus ou moins, practically, precisely, pretty near,
roughly, round, roundly, rudely, say, scarcely, some, somewhere, substantially, virtually,
well-nigh