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.
Hurt may refer to:
Hurt is the fourth extended play by American emo band Hawthorne Heights, released on September 18, 2015. It is the third and final EP in the Hate/Hope/Hurt trilogy.
Hurt is a Canadian documentary film, directed by Alan Zweig and released in 2015.
The film explores the troubled life of Steve Fonyo, the Canadian amputee athlete who completed a cross-Canada run to raise funds for cancer research in 1984 and 1985.
The film was produced by MDF Productions.
The film won the Platform Prize at the 2015 Toronto International Film Festival. In December, the film was announced as part of TIFF's annual Canada's Top Ten screening series of the ten best Canadian films of the year.