virtuallyˈvɜr tʃu ə li
virtually (adv)
English Definitions:
virtually (adverb)
in essence or effect but not in fact
"the strike virtually paralyzed the city"; "I'm virtually broke"
about, almost, most, nearly, near, nigh, virtually, well-nigh (adverb)
(of actions or states) slightly short of or not quite accomplished; all but
"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"
virtually (Adverb)
almost but not quite.
virtually (Adverb)
Without exaggeration; literally
virtually (Adverb)
In essence, but not in fact
virtually (Adverb)
Of a substructure of finite index.
virtually (Adverb)
Of a covering space of finite index.
Virtually
In mathematics, especially in the area of abstract algebra that studies infinite groups, the adverb virtually is used to modify a property so that it need only hold for a subgroup of finite index. Given a property P, the group G is said to be virtually P if there is a finite index subgroup H ≤ G {\displaystyle H\leq G} such that H has property P. Common uses for this would be when P is abelian, nilpotent, solvable or free. For example, virtually solvable groups are one of the two alternatives in the Tits alternative, while Gromov's theorem states that the finitely generated groups with polynomial growth are precisely the finitely generated virtually nilpotent groups. This terminology is also used when P is just another group. That is, if G and H are groups then G is virtually H if G has a subgroup K of finite index in G such that K is isomorphic to H. In particular, a group is virtually trivial if and only if it is finite. Two groups are virtually equal if and only if they are commensurable.
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"virtually." Kamus.net. STANDS4 LLC, 2024. Web. 18 Apr. 2024. <https://www.kamus.net/english/virtually>.
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