Almost

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 is almost N for any k in N, because only finitely many natural numbers are less than k.

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

Almost (disambiguation)

Almost is a term in mathematics (especially in set theory) used to mean all the elements except for finitely many.

Almost may also refer to:

Almost (Bowling for Soup song)

"Almost" is a song by the band, Bowling for Soup. It was released in January 2005 as the second single of their album, A Hangover You Don't Deserve in 2005.

It tells the story of a young adult who goes through many 'almost' experiences during his life, from almost making out with the homecoming queen to almost getting addicted to drugs. He shows remorse for not 'making his move' earlier, and he 'almost' wishes she loved him too.

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Alonso

Alonso is a Spanish name of Germanic origin that is a Galician-Portuguese variant of Adalfuns.

First name

The Tempest

The Tempest is a play by William Shakespeare, believed to have been written in 1610–11, and thought by many critics to be the last play that Shakespeare wrote alone. It is set on a remote island, where the sorcerer Prospero, rightful Duke of Milan, plots to restore his daughter Miranda to her rightful place using illusion and skilful manipulation. He conjures up a storm, the eponymous tempest, to lure his usurping brother Antonio and the complicit King Alonso of Naples to the island. There, his machinations bring about the revelation of Antonio's lowly nature, the redemption of the King, and the marriage of Miranda to Alonso's son, Ferdinand.

There is no obvious single source for the plot of The Tempest, but researchers have seen parallels in Erasmus's Naufragium, Peter Martyr's De orbe novo, and eyewitness reports by William Strachey and Sylvester Jordain of the real-life shipwreck of the Sea Venture on the islands of Bermuda, and the subsequent conflict between Sir Thomas Gates and Sir George Somers. In addition, one of Gonzalo's speeches is derived from Montaigne's essay Of the Canibales, and much of Prospero's renunciative speech is taken word for word from a speech by Medea in Ovid's poem Metamorphoses. The masque in Act 4 may have been a later addition, possibly in honour of the wedding of Princess Elizabeth and Frederick V in 1613. The play was first published in the First Folio of 1623.

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