Virtually
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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Famous quotes containing the word virtually:
“It may be tempting to focus on the fact that, even among those who support equality, men’s 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)
“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 hasn’t been studied either.”
—Pamela Patrick Novotny (20th century)
“The law is equal before all of us; but we are not all equal before the law. Virtually there is one law for the rich and another for the poor, one law for the cunning and another for the simple, one law for the forceful and another for the feeble, one law for the ignorant and another for the learned, one law for the brave and another for the timid, and within family limits one law for the parent and no law at all for the child.”
—George Bernard Shaw (1856–1950)