Almost all

In mathematics, the phrase "almost all" has a number of specialised uses which extend its intuitive meaning.

Cardinality

"Almost all" is sometimes used synonymously with "all but [except] finitely many" (formally, a cofinite set) or "all but a countable set" (formally, a cocountable set); see almost.

A simple example is that almost all prime numbers are odd, which is based on the fact that all but one prime number are odd. (The exception is the number 2, which is prime but not odd.)

Measure theory

When speaking about the reals, sometimes it means "all reals but a set of Lebesgue measure zero" (formally, almost everywhere). In this sense almost all reals are not a member of the Cantor set even though the Cantor set is uncountable.

More generally, "almost all" is sometimes used in the sense of "almost everywhere" in measure theory, or in the closely related sense of "almost surely" in probability theory.

Number theory

In number theory, if P(n) is a property of positive integers, and if p(N) denotes the number of positive integers n less than N for which P(n) holds, and if

Whitney Houston

Whitney Elizabeth Houston (August 9, 1963 – February 11, 2012) was an American singer, actress, producer, and model. In 2009, Guinness World Records cited her as the most awarded female act of all time. Houston is one of pop music's best-selling music artists of all-time, with an estimated 170–200 million records sold worldwide. She released seven studio albums and three movie soundtrack albums, all of which have diamond, multi-platinum, platinum or gold certification. Houston's crossover appeal on the popular music charts, as well as her prominence on MTV, starting with her video for "How Will I Know", influenced several African American women artists who follow in her footsteps.

Houston is the only artist to chart seven consecutive No. 1 Billboard Hot 100 hits. She is the second artist behind Elton John and the only woman to have two number-one Billboard 200 Album awards (formerly "Top Pop Albums") on the Billboard magazine year-end charts. Houston's 1985 debut album Whitney Houston became the best-selling debut album by a woman in history.Rolling Stone named it the best album of 1986, and ranked it at number 254 on the magazine's list of the 500 Greatest Albums of All Time. Her second studio album Whitney (1987) became the first album by a woman to debut at number one on the Billboard 200 albums chart.

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

English grammar

English grammar is the structure of expressions in the English language. This includes the structure of words, phrases, clauses and sentences.

There are historical, social, cultural and regional variations of English. Divergences from the grammar described here occur in some dialects of English. This article describes a generalized present-day Standard English, the form of speech found in types of public discourse including broadcasting, education, entertainment, government, and news reporting, including both formal and informal speech. There are certain differences in grammar between the standard forms of British English, American English and Australian English, although these are inconspicuous compared with the lexical and pronunciation differences.

Word classes and phrases

Eight types of word ("word classes" or "parts of speech") are distinguished in English: nouns, determiners, pronouns, verbs, adjectives, adverbs, prepositions, and conjunctions. (Determiners, traditionally classified along with adjectives, have not always been regarded as a separate part of speech.) Interjections are another word class, but these are not described here as they do not form part of the clause and sentence structure of the language.

Tomodachi Life

Tomodachi Life, known in Japan as Tomodachi Collection: New Life (Japanese: トモダチコレクション 新生活, Hepburn: Tomodachi Korekushon: Shin Seikatsu), is a life simulation handheld video game developed and published by Nintendo for the Nintendo 3DS. The game, which is a direct sequel to the Japan-exclusive Nintendo DS title, Tomodachi Collection, was released on April 18, 2013 in Japan, June 6, 2014 in North America and Europe, and June 7, 2014 in Australia. Along with good sales records, the game received positive reviews. Many reviewers praised the gameplay but criticized the minigames.

Gameplay

The game takes place on an island inhabited by various Miis, which the player can import from their 3DS, 2DS, 3DS XL and other devices, or QR codes, or create from scratch using the 3DS's camera or the in-game creation tools. These Miis can be given their own voice, which is spoken in vocal synthesizer software, and a unique personality based on slider inputs. Miis can then perform various actions, such as eating, trying on different outfits, falling in love with someone, and many leisure activities. As more Miis are introduced, many strange and curious interactions can occur between Miis, such as friendship, rivalry, relationships, and families. As the game goes by, the player unlocks more and more stores, clothes, and food.