Degree

Degree may refer to:

As a unit of measurement

Field extension

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.

Definitions

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.

Degree symbol

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 ° · °).

History

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.

Typography

In the case of degrees of arc, the degree symbol follows the number without any intervening space.

Clean (Deitiphobia album)

Clean is the second full-length studio album from industrial band Deitiphobia, released in 1994 by Myx Records. It is the earliest Deitiphobia album not to feature Brent Stackhouse, who left in 1992, and was also the band's debut for the Myx label. The album features Sheri Shaw, who remained with Deitiphobia until it dissolved in 2001, and Michael Knott, who produced Fear of the Digital Remix and was also the founder of the band's previous record label, Blonde Vinyl.

Track listing

All songs written and performed by Deitiphobia.

Personnel

Clean (programming language)

In computer science, Clean is a general-purpose purely functional computer programming language. For much of the language's active development history it was called Concurrent Clean and emphasized concurrency, but this was dropped at some point.

Features

The language Clean first appeared in 1987 and is still being further developed. It shares many properties with Haskell: referential transparency, list comprehension, guards, garbage collection, higher order functions, currying and lazy evaluation.

An integrated development environment (IDE) is included in the Clean distribution.

Clean's method for dealing with mutable state and I/O is done through a uniqueness typing system, in contrast to Haskell's use of monads. The compiler takes advantage of the uniqueness type system to generate more efficient code, because it knows that anything with a uniqueness type can only be used once. Therefore, a unique value can be changed in place.

Examples

Hello world:

Factorial:

Fibonacci sequence:

The Clean

The Clean are an indie rock band that formed in Dunedin, New Zealand in 1978, and have been described as the most influential band to come from the Flying Nun label, whose repertoire included many major components of the "Dunedin Sound". Led through a number of early rotating line-ups by brothers Hamish and David Kilgour, the band settled down to their well-known and current line-up with bassist Robert Scott.

History

Hamish and David Kilgour started to play and write music together in Dunedin in 1978, "building up a fat songbook of primitive punk, minimalist pop, infectious folk rock and adventurous psychedelic instrumentals. Their sound was built around David Kilgour’s off-centre, 1960s-influenced guitar, Hamish’s motorik drumming and melodic driving bass, first from Peter Gutteridge then Robert Scott".

The band's 1981 debut single "Tally Ho!" was the second release on Roger Shepherd's Flying Nun Records label. "Tally Ho!" reached number 19 on the New Zealand Singles Charts, giving the fledgling label its first hit.