In mathematics, the phrase "almost all" has a number of specialised uses.

"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. (Two is a prime number.)

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.

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

(see limit), then we say that "P(n) holds for almost all positive integers n" (formally, asymptotically almost surely) and write

For example, the prime number theorem states that the number of prime numbers less than or equal to N is asymptotically equal to N/ln N. Therefore the proportion of prime integers is roughly 1/ln N, which tends to 0. Thus, almost all positive integers are composite (not prime), however there are still an infinite number of primes.

Whitney Elizabeth Houston (August 9, 1963 – February 11, 2012) was an American recording artist, actress, producer, and model. In 2009, the Guinness World Records cited her as the most-awarded female act of all-time. Houston was one of the world's best-selling music artists, having sold over 170 million albums, singles and videos 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 female artists to 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 female artist to have two number-one Billboard 200 Album awards (formerly "Top Pop Album") on the Billboard magazine year-end charts. Houston's 1985 debut album Whitney Houston became the best-selling debut album by a female act at the time of its release. The album was named Rolling Stone's best album of 1986, and was ranked at number 254 on Rolling Stone's list of the 500 Greatest Albums of All Time. Her second studio album Whitney (1987) became the first album by a female artist to debut at number one on the Billboard 200 albums chart.

Chesney Henry "Chet" Baker, Jr. (December 23, 1929 – May 13, 1988) was an American jazz trumpeter, flugelhornist and singer.

In the 1950s, Baker earned much attention and critical praise, particularly for albums featuring his vocals, such as Chet Baker Sings. Jazz historian David Gelly descibed the promise of Baker's early career as seemingly representing "James Dean, Sinatra, and Bix, rolled into one." However, his "well-publicized drug habit" also drove his notoriety and fame, as Baker was in-and-out of jail for much of his life before enjoying a career resurgence in the late 1970s and '80s.

Baker died in 1988 in Amsterdam, the Netherlands.

Baker was born and raised in a musical household in Yale, Oklahoma; his father was a professional guitar player. Baker began his musical career singing in a church choir. His father introduced him to brass instruments with a trombone, which was replaced with a trumpet when the trombone proved too large.

Baker received some musical education at Glendale Junior High School, but left school at age 16 in 1946 to join the United States Army. He was posted to Berlin where he joined the 298th Army band. Leaving the army in 1948, he studied theory and harmony at El Camino College in Los Angeles. He dropped out in his second year, however, re-enlisting in the army in 1950. Baker became a member of the Sixth Army Band at the Presidio in San Francisco, but was soon spending time in San Francisco jazz clubs such as Bop City and the Black Hawk. Baker once again obtained a discharge from the army to pursue a career as a professional musician.

Ariana Grande-Butera (born June 26, 1993) is an American actress, singer, and dancer. She made her performance debut on Broadway at age 15. Recently, she has gained attention for her role as Cat Valentine on the Nickelodeon sitcom Victorious.

Grande was born and raised in Boca Raton, Florida. She is of Italian descent, half Sicilian, half Abruzzese.

In 2008, Grande played the role of Charlotte in the musical 13 on Broadway, for which she won a National Youth Theatre Association Award. When she joined the musical, Grande left her high school, North Broward Preparatory School, but continued to be enrolled. The school sent materials to her for study with tutors. She played the role of Miriam in the first reading of the forthcoming musical Cuba Libre composed by Desmond Child. Grande teaches music and dance to children in South Africa each year as a member of Broadway in South Africa.

Grande plays the character Cat Valentine on the Nickelodeon television show Victorious, which premiered in March 2010.

Laura Ann Branigan (July 3, 1957 – August 26, 2004) was an Italian-American singer-songwriter and actress. She is best known for her 1982 Platinum-certified hit "Gloria" (an Italian love song recorded by Umberto Tozzi in 1979) and for the number-one single "Self Control" (The original version by the italian singer and writers Raffaele Riefoli "Raf"). Branigan is also remembered for the Top 10 "Solitaire" and for the number-one adult contemporary hit "How Am I Supposed to Live Without You", as well as four other US Top 40 hits.

Branigan also contributed songs to notable motion picture and television soundtracks, including the Grammy and Academy Award-winning Flashdance soundtrack (1983), the Ghostbusters soundtrack (1984), and the Baywatch soundtrack (1994), as well as having songs featured in the popular Grand Theft Auto video game series.

Her signature song "Gloria" stayed on the Billboard Hot 100 for 36 weeks, at the time a record for a female artist. The song holds a place in the top 100 singles of both 1982 and 1983.