In mathematics, especially in the area of abstract algebra which 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 such that H has property P.
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Some articles on virtually:
... Virtually no humor, virtually no suspense, and virtually no charm or sexiness in old 007 - making this by far the weakest of Gardner's somewhat pre-sold ...
... the attention first of Sports Illustrated and later virtually all outdoor media ... He painted virtually all the major big-game species, eschewing fresh water species as being easier to see and thus less interesting to paint ... His art would run in virtually every major outdoor publication, including Field and Stream, Gray's Sporting Journal, Outdoor Life, Sporting Classics, Sports Afield ...
... The free group F2 on 2 generators is virtually Fn for any n ≥ 2 as a consequence of the Nielsen–Schreier theorem and the Schreier index formula ...
... The Roman Catholic Church assumed a pivotal role in Ecuador virtually at the onset of the Spanish conquest ... The church was virtually the only colonial institution dealing with education or the care of the needy ... Virtually every segment of the organization—the hierarchy, individual clerics, and religious orders—owned some form of assets ...
... "Virtually Part 1" (Hopper) – 516 "Virtually Part 2" (Hopper) – 709 "Virtually Part 3" (Hopper) – 433 "Virtually Part 4" (Hopper) – 323 ...
More definitions of "virtually":
- (adv): (intensifier before a figurative expression) without exaggeration.
- (adv): In essence or effect but not in fact.
Example: "The strike virtually paralyzed the city"; "I'm virtually broke"
Famous quotes containing the word virtually:
“If twins are believed to be less intelligent as a class than single-born children, it is not surprising that many times they are also seen as ripe for social and academic problems in school. No one knows the extent to which these kind of attitudes affect the behavior of multiples in school, and virtually nothing is known from a research point of view about social behavior of twins over the age of six or seven, because this hasnt been studied either.”
—Pamela Patrick Novotny (20th century)
“It may be tempting to focus on the fact that, even among those who support equality, mens involvement as fathers remains a far distance from what most women want and most children need. Yet it is also important to acknowledge how far and how fast many men have moved towards a pattern that not long ago virtually all men considered anathema.”
—Katherine Gerson (20th century)
“Any historian of the literature of the modern age will take virtually for granted the adversary intention, the actually subversive intention, that characterizes modern writinghe will perceive its clear purpose of detaching the reader from the habits of thought and feeling that the larger culture imposes, of giving him a ground and a vantage point from which to judge and condemn, and perhaps revise, the culture that produces him.”
—Lionel Trilling (19051975)