Search results
Results From The WOW.Com Content Network
According to this weaker definition, a conformal map need not be biholomorphic, even though it is locally biholomorphic, for example, by the inverse function theorem. For example, if f: U → U is defined by f(z) = z 2 with U = C–{0}, then f is conformal on U, since its derivative f’(z) = 2z ≠ 0, but it is not biholomorphic, since it is 2-1.
The geology of North America is a subject of regional geology and covers the North American continent, the third-largest in the world. Geologic units and processes are investigated on a large scale to reach a synthesized picture of the geological development of the continent.
In complex analysis, the Riemann mapping theorem states that if is a non-empty simply connected open subset of the complex number plane which is not all of , then there exists a biholomorphic mapping (i.e. a bijective holomorphic mapping whose inverse is also holomorphic) from onto the open unit disk
Since the transition maps between charts are biholomorphic, complex manifolds are, in particular, smooth and canonically oriented (not just orientable: a biholomorphic map to (a subset of) C n gives an orientation, as biholomorphic maps are orientation-preserving).
This once-active divergent plate boundary became the passive, trailing edge of westward moving North America. In plate tectonic terms, the Atlantic Plain is known as a classic example of a passive continental margin. [20] During the rifting, South America tore away from North America and headed southward.
A physiographical map of the contiguous 48 states of the U.S. and indicating the age of the exposed surface and the type of terrain An aerial photo over northern Ohio; much of the central United States is covered by relatively flat, arable land. Within the continental U.S. there are eight distinct physiographic divisions.
Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!
Biholomorphic map; Carathéodory's theorem – A conformal map extends continuously to the boundary; Penrose diagram; Schwarz–Christoffel mapping – a conformal transformation of the upper half-plane onto the interior of a simple polygon; Special linear group – transformations that preserve volume (as opposed to angles) and orientation