compact set with a boundary
61Open mapping theorem (complex analysis) — In complex analysis, the open mapping theorem states that if U is a connected open subset of the complex plane C and f : U → C is a non constant holomorphic function, then f is an open map (i.e. it sends open subsets of U to open subsets of… …
62Conformal radius — In mathematics, the conformal radius is a way to measure the size of a simply connected planar domain D viewed from a point z in it. As opposed to notions using Euclidean distance (say, the radius of the largest inscribed disk with center z),… …
63Connected space — For other uses, see Connection (disambiguation). Connected and disconnected subspaces of R² The green space A at top is simply connected whereas the blue space B below is not connected …
64Theta function — heta 1 with u = i pi z and with nome q = e^{i pi au}= 0.1 e^{0.1 i pi}. Conventions are (mathematica): heta 1(u;q) = 2 q^{1/4} sum {n=0}^infty ( 1)^n q^{n(n+1)} sin((2n+1)u) this is: heta 1(u;q) = sum {n= infty}^{n=infty} ( 1)^{n 1/2}… …
65Differentiation under the integral sign — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …
66Sioux Indians — • Provides information about their history, language, population, culture and religion Catholic Encyclopedia. Kevin Knight. 2006. Sioux Indians Sioux Indians …
67Kate Bush — Infobox musical artist Name = Kate Bush Img capt = Kate Bush about to perform at Comic Relief 1986 Img size = 174 Background = solo singer Birth name = Catherine Bush Born = birth date and age|1958|07|30|df=yes Bexleyheath, Kent, England Died =… …
68Curve of constant width — A Reuleaux triangle is a curve of constant width. The sides of the square are supporting lines: each touches the curve but does not intersect the interior. The Reuleaux triangle can be rotated whilst always touching each side of the square in a… …
69Minkowski-Steiner formula — In mathematics, the Minkowski Steiner formula is a formula relating the surface area and volume of compact subsets of Euclidean space. More precisely, it defines the surface area as the derivative of enclosed volume in an appropriate sense.The… …
70Minkowski–Steiner formula — In mathematics, the Minkowski–Steiner formula is a formula relating the surface area and volume of compact subsets of Euclidean space. More precisely, it defines the surface area as the derivative of enclosed volume in an appropriate sense. The… …
