Übersetzung für 'nontrivial' von Englisch nach Deutsch

nontrivial {adj}

nicht trivial [auch: nichttrivial]

• These results follow from the following (also called the Gordon–Luecke theorem): no nontrivial Dehn surgery on a nontrivial knot in the 3-sphere can yield the 3-sphere.
• , satisfy a fixed nontrivial identity in the signature (∨,∧) (in short, "with a nontrivial congruence identity").
• , being simple, has no nontrivial ideals and all nontrivial representations are hence faithful.
• In mathematics, in the field of group theory, a group is said to be characteristically simple if it has no proper nontrivial characteristic subgroups.
• It shows that nontrivial limits exist in "H". Troels Jorgensen's study of the geometric topology further shows that all nontrivial limits arise by Dehn filling as in the theorem.

• Physicists distinguish between trivial and nontrivial fixed points.
• However, if M is topologically nontrivial, A and B can have nontrivial solutions globally.
• Each nontrivial torus knot is prime and chiral.
• It is an open question whether there is a nontrivial knot with Jones polynomial equal to that of the unknot.
• free bosons, the introduction of screening charges can be used for defining nontrivial CFTs including conformal Toda theory.

• In a cycle graph of length four, the partition of the vertices given by 2-coloring the cycle is a nontrivial split, but for cycles of any longer length there are no nontrivial splits.
• Just as the fundamental theorem of algebra ensures that every linear transformation acting on a finite-dimensional complex vector space has a nontrivial invariant subspace, the "fundamental theorem of noncommutative algebra" asserts that Lat(Σ) contains nontrivial elements for certain Σ.
• A permutation group "G" acting transitively on a non-empty finite set "M" is "imprimitive" if there is some nontrivial set partition of "M" that is preserved by the action of "G", where "nontrivial" means that the partition isn't the partition into singleton sets nor the partition with only one part.
• A simple example of a nontrivial tangent bundle is that of the unit sphere [...] : this tangent bundle is nontrivial as a consequence of the hairy ball theorem.
• But by Fermat's Last Theorem it is now known that (for "n" > 2) there are no nontrivial integer solutions to the Fermat equation; therefore, the Fermat curve has no nontrivial rational points.

• Long-standing problems in design theory were whether there exist any nontrivial Steiner systems (nontrivial meaning "t" < "k" < "n") with "t" ≥ 6; also whether infinitely many have "t" = 4 or 5.
• Idempotent relations defined on weakly countably compact spaces have also been shown to satisfy "condition Γ": that is, every nontrivial idempotent relation on such a space contains points [...] for some [...].