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Translations for „finitely“ in the English » German Dictionary (Go to German » English)

finitely generated ADJ

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finitely generated MATH

Monolingual examples (not verified by PONS Editors)

English
It is a perfectly good theory with many good properties: it is complete, decidable, finitely axiomatizable, and so on.
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In particular, this means a finitely generated 3-manifold group is finitely presentable.
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A basic question in this direction is: are there finitely or infinitely many rational points on a given curve (or surface)?
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Any noetherian scheme can be written uniquely as the union of finitely many maximal irreducible non-empty closed subsets, called its irreducible components.
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Finite geometry itself, the study of spaces with only finitely many points, found applications in coding theory and cryptography.
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Because the actual sequence and the representative sequence are in the same equivalence class, their entries are the same after finitely many prisoners.
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Even very simple flows, such as the blinking vortex, or finitely resolved wind fields can generate exceptionally complex patterns from initially simple tracer fields.
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It is particularly useful where finiteness assumptions are satisfied, for example finitely generated groups, or finitely presented groups (i.e. in addition the relations are finite).
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Every finitely generated abelian group or nilpotent group is polycyclic.
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There is a natural similar question for iterating splittings of finitely generated groups over finite subgroups.
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