A regular map between removable, but the distinction is usually ignored in practice . ) In particular, a regular map into the complex numbers is just a usual holomorphic function ( complex-analytic function ).
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Consideration of exceptional divisors is crucial in birational geometry : an elementary result ( see for instance Shafarevich, II . 4.4 ) shows that any birational regular map that is not an isomorphism has an exceptional divisor.
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While regular maps focus on the accurate rendition of distances, pictorial maps enhance landmarks and often incorporate a complex interplay of different scales into one image in order to give the viewer a more familiar sense of recognition.
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The single-player campaign consists of 30 separate levels, or " maps ", divided into four episodes ( with a total of 26 regular maps and four secret ones ), as well as a hub level to select a difficulty setting and episode, and the game's final boss level.
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If a regular map is used to generate a clean dessin, and the resulting dessin is used to generate a triangulated Riemann surface, then the edges of the triangles lie along lines of symmetry of the surface, and the reflections across those lines generate a symmetry group called a triangle group, for which the triangles form the fundamental domains.
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