Square (algebra)
In mathematics, a square is the result of multiplying a number by itself. The verb "to square" is used to denote this operation. Squaring is the same as raising to the power 2, and is denoted by a superscript 2; for instance, the square of 3 may be written as 32, which is the number 9. In some cases when superscripts are not available, as for instance in programming languages or plain text files, the notations x^2 or x**2 may be used in place of x2.
The adjective which corresponds to squaring is quadratic.
The square of an integer may also be called a square number or a perfect square. In algebra, the operation of squaring is often generalized to polynomials, other expressions, or values in systems of mathematical values other than the numbers. For instance, the square of the linear polynomial x + 1 is the quadratic polynomial x2 + 2x + 1.
One of the important properties of squaring, for numbers as well as in many other mathematical systems, is that (for all numbers x), the square of x is the same as the square of its additive inverse −x. That is, the square function satisfies the identity x2 = (−x)2. This can also be expressed by saying that the squaring function is an even function.
Shine!
Shine! is a musical based on characters and situations found in the works of Horatio Alger, particularly Ragged Dick and Silas Snobden's Office Boy, respectively Alger's first best-seller and the one first printed in book form eighty years after it was first serialized in Argosy. Its plot and characters focus on Alger's pervasive theme: that in America one could begin with nothing, and with the right attitude, hard work, application, and a little bit of luck, dream a dream and chart a course on which to achieve it. Richard Seff wrote the book, Lee Goldsmith the lyrics and Roger Anderson the music. Anderson and Goldsmith had previously collaborated on the musical Chaplin.
Shine! was announced for Broadway in 1982, but production was canceled when producer 20th Century Fox disbanded its newly formed theatre division. The show was later produced in 1983 at the Virginia Museum Theatre in Richmond, Virginia, starring George Lee Andrews, Alix Korey and Todd Taylor. A reading of a revised version was seen in 1998 at Off Broadway's York Theatre Company. In 2001, Shine! was part of the National Musical Theatre Network showcase. That performance was recorded and released by Original Cast Records in October 2001. The recording featured performers including Carole Shelley, Harvey Evans, Brooks Ashmanskas and Andrea Burns. The show was published by Samuel French Inc. in 2002.
Mr. Big (American band)
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Mr. Big is an American hard rock band, formed in Los Angeles, California, in 1988. The band is a quartet composed of Eric Martin (lead vocals), Paul Gilbert (guitar), Billy Sheehan (bass guitar), and Pat Torpey (drums); The band is noted especially for their musicianship, and scored a number of hits. Their songs were often marked by strong vocals and vocal harmonies. Their hits include "To Be with You" (a number one single in 15 countries in 1992) and "Just Take My Heart".
Mr. Big have remained active and popular for over two decades, despite internal conflicts and changing music trends. They broke up in 2002, but after requests from fans, they reunited in 2009; their first tour was in Japan, in June 2009. To date, Mr. Big has released eight studio albums, the latest being ...The Stories We Could Tell (2014).
The band takes its name from the song by Free, which was eventually covered by the band on their 1993 album, Bump Ahead.
Shine (Mike Oldfield song)
"Shine" is a single by musician Mike Oldfield, released in 1986 (see 1986 in music). "Shine" features Jon Anderson on vocals.
Music video
The music video for "Shine" features use of computer graphics, such as a computer generated game of chess. Oldfield plays a Gibson SG guitar in the video. The video is available on the Elements - The Best of Mike Oldfield DVD.
Track listing
Charts
External links
Underworld (band)
Underworld are a British electronic group formed in 1980 in Cardiff and the principal name under which musicians Karl Hyde and Rick Smith have recorded together. Darren Price has toured with the band since 2005, after the departure of Darren Emerson in 2000. Known for visual style and dynamic live performances, Underworld have influenced a wide range of artists and been featured in soundtracks and scores for films, television, and the 2012 Summer Olympics in London. Their fifth studio album, Barking, was released on 13 September 2010.
History
Pre-Underworld years (1980–1986)
Hyde and Smith began their musical partnership with the Kraftwerk and reggae-inspired sounds of The Screen Gemz while working together in a diner in the city of Cardiff, where both had been studying. They were joined by The Screen Gemz' bass player Alfie Thomas, drummer Bryn Burrows, and keyboardist John Warwicker in forming a proto-electroclash/new wave band whose name was a graphic squiggle, which was subsequently given the pronunciation Freur. The band signed to CBS Records, and went on to release the albums Doot-Doot in 1983, and Get Us out of Here in 1986. Freur disbanded in 1986.
Dirrty
"Dirrty" is a song by American singer Christina Aguilera featuring rapper Redman, taken from Aguilera's fourth studio album Stripped (2002). The song was written by Aguilera, Redman, Jasper Cameron, Balewa Muhammad, and Dana Stinson and was produced by Stinson under his production name Rockwilder and Aguilera. It is a hip hop and R&B track which talks about sexual activities.
Aguilera wanted to release a seriously "down and dirty" song to eliminate her bubblegum pop singer image since her career began in 1999. Thus, RCA Records sent "Dirrty" to US mainstream stations in mid-September and released the song as a CD single via retailers from October to November 2002 as the lead single from Stripped to announce her new public image. A music video for "Dirrty" was directed by David LaChapelle and was released on September 30, 2002, depicting various sexual fetishes.
"Dirrty" received mixed reviews from music critics, who were ambivalent towards its composition. The song was nominated a Grammy Award for Best Pop Collaboration with Vocals in 2003. "Dirrty" peaked at number 48 on the US Billboard Hot 100, becoming Aguilera's first single to chart outside the top twenty of the Hot 100. However, the single was an international success, peaking within the top ten charts of multiple countries including Canada, Germany, Hungary, Netherlands, Australia and the United Kingdom. Its music video generated controversy for its sexual content and was banned from Thai television stations.
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