totally imaginary field
1CM-field — In mathematics, a CM field is a particular type of number field K , so named for a close connection to the theory of complex multiplication. Another name used is J field . Specifically, K is a totally imaginary quadratic extension of a totally… …
2Algebraic number field — In mathematics, an algebraic number field (or simply number field) F is a finite (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector… …
3Fake projective plane — For Freedman s example of a non smoothable manifold with the same homotopy type as the complex projective plane, see 4 manifold. In mathematics, a fake projective plane (or Mumford surface) is one of the 50 complex algebraic surfaces that have… …
4Real number — For the real numbers used in descriptive set theory, see Baire space (set theory). For the computing datatype, see Floating point number. A symbol of the set of real numbers …
5Constructible polygon — Construction of a regular pentagon In mathematics, a constructible polygon is a regular polygon that can be constructed with compass and straightedge. For example, a regular pentagon is constructible with compass and straightedge while a regular… …
6Donald Knuth — Donald Ervin Knuth Donald Knuth at a reception for the Open Content Alliance, October 25, 2005 Born …
7List of algebraic number theory topics — This is a list of algebraic number theory topics. Contents 1 Basic topics 2 Important problems 3 General aspects 4 Class field theory …
8Leopoldt's conjecture — In algebraic number theory, Leopoldt s conjecture, introduced by H. W. Leopoldt (1962, 1975), states that p adic regulator of a number field does not vanish. The p adic regulator is an analogue of the usual regulator defined using p adic… …
9literature — /lit euhr euh cheuhr, choor , li treuh /, n. 1. writings in which expression and form, in connection with ideas of permanent and universal interest, are characteristic or essential features, as poetry, novels, history, biography, and essays. 2.… …
10Feynman diagram — The Wick s expansion of the integrand gives (among others) the following termNarpsi(x)gamma^mupsi(x)arpsi(x )gamma^ upsi(x )underline{A mu(x)A u(x )};,whereunderline{A mu(x)A u(x )}=int{d^4pover(2pi)^4}{ig {mu u}over k^2+i0}e^{ k(x x )}is the… …
