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:
“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)
“Any historian of the literature of the modern age will take virtually for granted the adversary intention, the actually subversive intention, that characterizes modern writing—he 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 (1905–1975)
“Let those talk of poverty and hard times who will in the towns and cities; cannot the emigrant who can pay his fare to New York or Boston pay five dollars more to get here ... and be as rich as he pleases, where land virtually costs nothing, and houses only the labor of building, and he may begin life as Adam did? If he will still remember the distinction of poor and rich, let him bespeak him a narrower house forthwith.”
—Henry David Thoreau (1817–1862)