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In [[general topology]], an '''open map''' is a [[function (mathematics)|function]] on a [[topological space]] whic A [[homeomorphism]] may be defined as a [[continuous map|continuous]] open [[bijection]].

...he case where the surface is an algebraic <math>K3</math> surface over the complex numbers. == Complex definition ==

[[File:AcomapT.png|500px|right|thumb| [[Complex map]] of [[ArcCos]] function, <math>u\!+\!iv\!=\!\arccos(i\!+\!iy)</math>]] Some compilers do not recognize the inverse trigonometric functions of the complex argument. In this case, the representations through function [[Logarithm]]

[[File:FilogbigT.jpg|300px|right|thumb|[[Complex map]] of function <math>f=\mathrm{Filog}(x+\mathrm i y)</math>]] where asterisk (*) denotes the [[complex conjugation]].

...et+Glycoprotein+GPIIb-IIIa+Complex |title=Platelet Glycoprotein GPIIb-IIIa Complex |accessdate=2008-01-10 |author=Anonymous |authorlink= |coauthors= |date= |f ...tifibatide]] and [[tirofiban]], block the platelet glycoprotein GPIIb-IIIa complex and inhibit platelet aggregation. They arp used to treat [[vascular disease

...[[algebraic curve]]s, and <math>\scriptstyle f:C\to D</math> is a [[finite map]] of [[degree]] ''d'' then the number of [[branch points]] of ''f'', denote ...[triangulation]] of the curve ''D'' such that all the branch points of the map are nodes of the triangulation. One then considers the [[pullback]] of the

...conjugate of a complex [[matrix]] to linear operators on [[complex number|complex]] [[Hilbert space|Hilbert spaces]]. In this article the adjoint of a linear ...ate as an operator. The crucial observation here is the following: for any complex matrix ''M'', its Hermitian tranpose, denoted by ''M''^&lowast;,

Article [[Maps of tetration]] collects some [[complex map]]s of [[tetration]] <math>\mathrm{tet}_b</math> to different values of base The [[complex map]]s correspond to the following values of base:

...whose coefficients are [[Complex number|complex numbers]] has at least one complex number as a root. In other words, given any polynomial (where <math>d</math> is any positive integer), we can find a complex number <math>t</math> so that

...''isogeny''' between [[abelian variety|abelian varieties]] is a [[rational map]] which is also a [[group homomorphism]], with finite kernel. ...eory. If <math>\phi: E_1 \rightarrow E_2</math> is a non-trivial rational map which maps the zero of ''E''₁ to the zero of ''E''₁,

[[File:ArcSinMapT.png|400px|right|thumb|[[complex map]] of <math>u\!+\!\mathrm i v\!=\!\arcsin(x\!+\!\mathrm i y)</math>]] <math>\arcsin(z)</math> is holomorphic in the whole complex plane except the halflines

[[File:Besselj1mapT080.png|400px|thumb|[[Complex map]] of <math>J_1</math> by Complex map of the Bessel function BesselJ1.

...ators'', Springer-Verlag, New York (1982), ISBN 0-387-90666-5 p. 49 </ref> map from <math>X \times X</math> to <math>\mathbb{C}</math> with the following ...uct is said to be a ''real inner product'' (otherwise in general it is a ''complex inner product'').

...l number]]s has only the identity automorphism, since an automorphism must map the [[unit element]] 1 to itself, and every rational number may be obtained ...d '''C''' of [[complex number]]s has two automorphisms, the identity and [[complex conjugation]].

...urface at a [[geographic map]], real and imaginary part of a [[function of complex variable]] - any bidimensional distribution. ...0px|thumb|Fig.2. Contour plot of function <math>f=|z-\ln(z)|</math> in the complex

{{r|Complex number}} {{r|Frobenius map}}

types of arguments, integer, float, imaginary, complex and matrix. Outputs = lists:map(fun simple:simplify/1, Inputs),

The complex map of the [[natural pentation]] is shown in the last figure. Pentation is holomorphic at least in the part of the complex plane, while the real part of the argument does not exceed some constant. F

{{r|Open map}} {{r|Pole (complex analysis)}}

The derivative of a [[real function|real]] or [[complex function|complex]] function at a point is a measure of how rapidly the function changes loca The derivative <math>\mathrm{D}F</math>, if it exists, is a linear map and hence may be represented by a [[matrix]]. The entries in the matrix ar