Degree may refer to:
In abstract algebra, field extensions are the main object of study in field theory. The general idea is to start with a base field and construct in some manner a larger field that contains the base field and satisfies additional properties. For instance, the set Q(√2) = {a + b√2 | a, b ∈ Q} is the smallest extension of Q that includes every real solution to the equation x2 = 2.
Let L be a field. A subfield of L is a subset K of L that is closed under the field operations of L and under taking inverses in L. In other words, K is a field with respect to the field operations inherited from L. The larger field L is then said to be an extension field of K. To simplify notation and terminology, one says that L / K (read as "L over K") is a field extension to signify that L is an extension field of K.
If L is an extension of F which is in turn an extension of K, then F is said to be an intermediate field (or intermediate extension or subextension) of the field extension L / K.
The degree symbol (°) is a typographical symbol that is used, among other things, to represent degrees of arc (e.g. in geographic coordinate systems), hours (in the medical field), degrees of temperature, alcohol proof, or diminished quality in musical harmony. The symbol consists of a small raised circle, historically a zero glyph.
In Unicode it is encoded at U+00B0 ° DEGREE SIGN (HTML °
· °
).
The first known recorded modern use of the degree symbol in mathematics is from 1569 where the usage seems to show that the symbol is a small raised zero, to match the prime symbol notation of sexagesimal subdivisions of degree such as minute ′, second ″, and tertia ‴ which originates as small raised Roman numerals.
In the case of degrees of arc, the degree symbol follows the number without any intervening space.
Fake? is a Japanese alternative rock band formed in 2001 by Ken Lloyd and Inoran. Their music has been described as alternative mixed with electronic sounds. Their sound has also been called "Mixture Rock" as well as an "alternative punk rock mix." Lyrics are mainly in English and sometimes in Japanese.
In late 2001 Oblivion Dust vocalist Ken Lloyd joined up with Luna Sea guitarist Inoran and formed Fake?. They didn't go public until early 2002, though, where the two of them held a secret two-day "Show Case" event at Liquidroom Shinjuku. A short time later they released their first single "Taste Maximum." They released another single "Someday" and their first album "Breathe In..." which reached the top 30 in the Oricon charts despite a lack of promotion, major magazine interviews, or photo-sessions. Their respective musical influences can be heard throughout the album: slightly more trip hop songs were composed by Inoran, slightly more Punk rock songs composed by Ken. Then, they took part at the Summer Sonic Festival 2002 in Tokyo, Osaka, and Hong Kong. They also played in gigs at Nagoya Diamond Hall, Osaka Namba Hatch and the Akasaka BLITZ. On November 2, the band started its Live Tour, doing 7 concerts in 5 towns. The final concert of this tour on November 24 at Zepp Tokyo, was later broadcast in Japan by WOWOW.
"Fake" is a song written and recorded by British soft rock group Simply Red. It was released in July 2003 as the second single from the album, Home. It was the next single after their international smash hit "Sunrise". It reached number-one on the U.S. Billboard Hot Dance Club Play for the week of 14 February 2004.
The music video was filmed at a nightclub in Watford, England and was directed by Andy Morahan. It features Mick Hucknall walking around in the nightclub and talking to people who look like famous artists and celebrities. Among them are doubles of Eminem, Ozzy Osbourne, Naomi Campbell, Kylie Minogue, Diana Ross, Robert De Niro, Madonna, Pamela Anderson, Pierce Brosnan, Sean Connery, Halle Berry, Michael Jackson, Joan Collins, David Beckham and Victoria Beckham. Hucknall also meets his own double. It also features Hucknall in a library when the line "I read a book and it's your face" is said.
Fake is the second and final album by the British alternative rock band Adorable released in 1994.