Definition, Betydelse & Synonymer | Engelska ordet CONFORMAL

Definition av CONFORMAL

1. (matematik) konform

Exempel på hur man kan använda CONFORMAL i en mening

• Due to the conformal property of the stereographic projection, the curves intersect each other orthogonally (in the yellow points) as in 4D.
• Because this projection is conformal, the curves intersect each other orthogonally (in the yellow points) as in 4D.
• In mathematics, a conformal map is a function that locally preserves angles, but not necessarily lengths.
• One bijective conformal map from the open unit disk to the open upper half-plane is the Möbius transformation.
• The renormalization group is intimately related to scale invariance and conformal invariance, symmetries in which a system appears the same at all scales (self-similarity).
• A conformal metric is conformally flat if there is a metric representing it that is flat, in the usual sense that the Riemann curvature tensor vanishes.
• It can be useful to use non-integer Kac indices for parametrizing the conformal dimensions of Verma modules that do not have singular vectors, for example in the critical random cluster model.
• In a conformally invariant two-dimensional quantum theory, the Witt algebra of infinitesimal conformal transformations has to be centrally extended.
• Just as the Möbius group requires the Riemann sphere, a compact space, for a complete description, so the alternative complex planes require compactification for complete description of conformal mapping.
• The concept of extremal length uses this notion of the -length of curves and is useful in the study of conformal mappings.
• It is a compact Riemann surface of genus , and is the only such surface for which the size of the conformal automorphism group attains the maximum of.
• This set of conformally equivalent Riemannian surfaces is precisely the same as all compact Riemannian surfaces of genus 3 whose conformal automorphism group is isomorphic to the unique simple group of order 168.
• Johann Heinrich Lambert publishes seven new map projections, including the Lambert conformal conic, transverse Mercator and Lambert azimuthal equal area.
• The projection is conformal, meaning that it preserves angles, and like the stereographic projection of the sphere it projects generalized circles (geodesics, hypercycles, horocycles, and circles) in the hyperbolic plane to generalized circles (lines or circles) in the plane.
• The group PSL(2,R) can be regarded equivalently as a group of orientation-preserving isometries of the hyperbolic plane, or conformal transformations of the unit disc, or conformal transformations of the upper half plane, so a Fuchsian group can be regarded as a group acting on any of these spaces.
• McRae, who were familiar with conformal mappings, was reworked into the final form in early 1937, which was eventually published in January 1939.
• For extended range, the F-15E is fitted with two conformal fuel tanks (CFTs) that hug the fuselage to produce lower drag than conventional underwing/underbelly drop tanks.
• He showed that the Jacobian matrix of a spacetime diffeomorphism which preserves the Maxwell equations is proportional to an orthogonal matrix, hence conformal.
• William Thurston interprets the Schwarzian derivative as a measure of how much a conformal map deviates from a Möbius transformation.
• 2-dimensional topology can be studied as complex geometry in one variable (Riemann surfaces are complex curves) – by the uniformization theorem every conformal class of metrics is equivalent to a unique complex one, and 4-dimensional topology can be studied from the point of view of complex geometry in two variables (complex surfaces), though not every 4-manifold admits a complex structure.

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