Synonymer & Information om | Engelska ordet UNIFORMIZATION

Exempel på hur man kan använda UNIFORMIZATION i en mening

• It is an analogue of the uniformization theorem for two-dimensional surfaces, which states that every simply connected Riemann surface can be given one of three geometries (Euclidean, spherical, or hyperbolic).
• Since every Riemann surface has a universal cover which is a simply connected Riemann surface, the uniformization theorem leads to a classification of Riemann surfaces into three types: those that have the Riemann sphere as universal cover ("elliptic"), those with the plane as universal cover ("parabolic") and those with the unit disk as universal cover ("hyperbolic").
• 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.
• Further, the system risks neglecting poor farmers’ needs in favour of agribusiness needs, jeopardising traditional systems of seed saving and exchange, and losing biodiversity to "the uniformization encouraged by the spread of commercial varieties".
• This is a consequence of the uniformization theorem for surfaces and the geometrization theorem for 3-manifolds proved by Perelman.
• The first, rising A-phase of the Kondratiev cycle will be according to Akamatsu a period of differentiation in the world economic structure, while the “falling period” or B-phase of the Kondratiev cycle will, Akamatsu argues, coincide with a process of uniformization in world economic structure.
• By Poincaré's uniformization theorem, any orientable closed 2-manifold is conformally equivalent to a surface of constant curvature 0, +1 or –1.
• For pointclasses of a certain form, it implies that relations in the given pointclass have a uniformization that is also in the pointclass.
• Local uniformization (proved in characteristic 0 by Zariski) can be interpreted as saying that the Zariski–Riemann space of a variety is nonsingular in some sense, so is a sort of rather weak resolution of singularities.
• The first problem is to reformulate the Fuchsian uniformization of a complex Riemann surface (an isomorphism from the upper half plane to a universal covering space of the surface) in a way that makes sense for p-adic curves.
• In algebraic geometry, local uniformization is a weak form of resolution of singularities, stating that a variety can be desingularized near any valuation, or in other words that the Zariski–Riemann space of the array is in some sense non-singular.

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