unique conformal map f : D → D onto the unit disk (usually referred to as the uniformizing map) with f(z) = 0 ∈ D and f′(z) ∈ R+. The conformal radius of...
9 KB (1,453 words) - 07:50, 21 January 2025
Riemann mapping theorem (redirect from Riemann's theorem on conformal mappings)
Schwarz–Christoffel mapping – a conformal transformation of the upper half-plane onto the interior of a simple polygon. Conformal radius The existence of f is equivalent...
44 KB (7,478 words) - 16:34, 20 May 2025
A conformal field theory (CFT) is a quantum field theory that is invariant under conformal transformations. In two dimensions, there is an infinite-dimensional...
42 KB (7,031 words) - 08:27, 18 May 2025
orientation. Conformal maps preserve both angles and the shapes of infinitesimally small figures, but not necessarily their size or curvature. The conformal property...
22 KB (2,515 words) - 23:19, 16 April 2025
A Lambert conformal conic projection (LCC) is a conic map projection used for aeronautical charts, portions of the State Plane Coordinate System, and...
10 KB (1,202 words) - 19:06, 12 October 2024
called the conformal orthogonal group, the conformal linear transformation group or the homogeneous similtude group. Alternatively any conformal linear transformation...
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Latitude (redirect from Conformal latitude)
Albers equal-area conic projection.: §14 The conformal latitude, χ, gives an angle-preserving (conformal) transformation to the sphere. χ ( ϕ ) = 2 tan...
47 KB (6,166 words) - 00:02, 19 March 2025
Penrose diagram (redirect from Conformal infinity)
readable introduction to the concept of conformal infinity plus examples. Frauendiener, Jörg (2004). "Conformal Infinity". Living Reviews in Relativity...
10 KB (1,198 words) - 19:49, 24 May 2025
related result is the Schwarz lemma, and a notion related to both is conformal radius. Suppose that g ( z ) = z + b 1 z − 1 + b 2 z − 2 + ⋯ {\displaystyle...
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flight testing of the F-16 conformal fuel tanks completed". www.f-16.net. "L- M and USAF Complete Flight-Testing of F-16 Conformal Fuel Tanks". www.defense-aerospace...
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The conformal bootstrap is a non-perturbative mathematical method to constrain and solve conformal field theories, i.e. models of particle physics or statistical...
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Stereographic map projection (redirect from Azimuthal conformal projection)
also known as the planisphere projection or the azimuthal conformal projection, is a conformal map projection whose use dates back to antiquity. Like the...
6 KB (721 words) - 21:47, 22 September 2024
Capacity of a set – In Euclidean space, a measure of that set's "size" Conformal radius Solomentsev, E. D. (2001) [1994], "Capacity", Encyclopedia of Mathematics...
8 KB (1,213 words) - 05:35, 28 May 2025
articulated below. It may also be called the conformal capacity, in reference to its relation to the conformal radius. The harmonic function u is called the...
11 KB (1,655 words) - 21:46, 1 March 2025
Map projection (section Conformal)
Lambert conformal conic, which adjusts the north-south distance between non-standard parallels to equal the east-west stretching, giving a conformal map....
59 KB (6,451 words) - 10:08, 9 May 2025
Hubble volume (redirect from Hubble radius)
expands and does not revert to a smaller default size (non-conformal or expandatory conformal, non-Penrosean expandatory cyclic cosmology).[citation needed]...
9 KB (1,061 words) - 00:00, 16 March 2025
Mercator projection (category Conformal projections)
The Mercator projection (/mərˈkeɪtər/) is a conformal cylindrical map projection first presented by Flemish geographer and mapmaker Gerardus Mercator...
49 KB (6,858 words) - 17:00, 23 May 2025
open topological disks in the plane, there is a conformal map from one disk to the other. Conformal mappings have applications in mesh generation, map...
30 KB (3,861 words) - 22:35, 27 February 2025
two-dimensional conformal field theory is a quantum field theory on a Euclidean two-dimensional space, that is invariant under local conformal transformations...
33 KB (5,674 words) - 01:40, 21 January 2025
Torus (section Conformal classification of flat tori)
torus (total angle 2π/3). These are the only conformal equivalence classes of flat tori that have any conformal automorphisms other than those generated by...
40 KB (5,166 words) - 11:29, 5 May 2025
Conformal geometric algebra (CGA) is the geometric algebra constructed over the resultant space of a map from points in an n-dimensional base space Rp...
26 KB (3,303 words) - 08:55, 3 April 2025
The Riemann surface's conformal structure does, however, determine a class of metrics: all those whose subordinate conformal structure is the given one...
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system Sasakian manifold Poisson manifold Möbius transformation Conformal map conformal connection tractor bundle Weyl curvature Weyl–Schouten theorem...
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Glossary of Riemannian and metric geometry (redirect from Injectivity radius)
hyperbolic space Conformal map is a map which preserves angles. Conformally flat a manifold M is conformally flat if it is locally conformally equivalent to...
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defects in the finished product. Conformal cooling, on the other hand, involves the creation of cooling channels that conform precisely to the shape of the...
8 KB (924 words) - 19:42, 6 May 2024
Antiholomorphic function Cauchy–Riemann equations Conformal mapping Conformal welding Power series Radius of convergence Laurent series Meromorphic function...
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Dwarf planet (redirect from Potato radius)
question-and-answer section estimated that objects with mass above 0.5×1021 kg and radius greater than 400 km would "normally" be in hydrostatic equilibrium (the...
101 KB (9,264 words) - 16:15, 20 April 2025
since they are non-conformal (see below). Möbius group elements are analytic functions of the whole plane and so are necessarily conformal. Consider, in the...
30 KB (4,386 words) - 23:54, 25 May 2025
Transverse Mercator projection (redirect from Gauss conformal)
to 6° in UTM. The projection is conformal with a constant scale on the central meridian. (There are other conformal generalisations of the transverse...
40 KB (4,647 words) - 19:20, 21 April 2025
Joukowsky transform (category Conformal mappings)
_{x}+i\mu _{y}} by varying the radius of the circle. Joukowsky airfoils have a cusp at their trailing edge. A closely related conformal mapping, the Kármán–Trefftz...
11 KB (1,634 words) - 14:58, 11 October 2023