Übersetzung für 'injectivity' von Englisch nach Deutsch

injectivity

Injektivität {f}math.

Schluckfähigkeit {f}

Linkseindeutigkeit {f}math.

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non-injectivity

Nicht-Injektivität {f}math.

• Arithmetic manifolds can be used to give examples of manifolds with large injectivity radius whose first Betti number vanishes.
• The least distance from "p" to the cut locus is the injectivity radius at "p".
• For instance, the surjectivity part implies the Kadison–Kaplansky conjecture for discrete torsion-free groups, and the injectivity is closely related to the Novikov conjecture.
• Common notions such as surjectivity and injectivity can be expressed in a bounded fashion as well.
• It immediately implies the injectivity part of the Lefschetz hyperplane theorem.

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• Over many years, downhole acoustic logging tools proved effective in inflow and injectivity profiling of operating wells, leak detection, location of cross-flows behind casing, and even in determining reservoir fluid compositions.
• , is an isomorphism: injectivity implies that only conjugation by the identity element is the identity automorphism, meaning the group is centerless, while surjectivity implies it has no outer automorphisms.
• In such a case where ƒ satisfies injectivity (but not necessarily surjectivity), ƒ is said to be "weakly nondegenerate".
• This theorem led naturally to the question of injectivity of von-Neumann algebras in general, which culminated in work by Alain Connes relating injectivity to hyperfiniteness.
• Over many years, downhole noise logging tools proved effective in inflow and injectivity profiling of operating wells, leak detection, location of cross-flows behind casing, and even in determining reservoir fluid compositions.

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• Injectivity radius The injectivity radius at a point "p" of a Riemannian manifold is the largest radius for which the exponential map at "p" is a diffeomorphism.
• This is the definition of the first map, and its injectivity is immediate.
• The next topological lemma can be used to upgrade local injectivity to injectivity that is global to some extent.
• For finite groups, surjectivity of an endomorphism implies injectivity, so a surjective endomorphism is an automorphism; thus being "strictly characteristic" is equivalent to "characteristic".
• Finally, an application of the inverse inner automorphism with [...] yields [...] , as required for injectivity.

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