Examples of using Finitely in English and their translations into French
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A principle which generalizes the bilipschitz invariance of word metrics says that any finitely generated word metric on G is quasi-isometric to any proper,
Angus Macintyre: A finitely presented group has solvable word problem if
namely a linear programming problem with finitely many(2) decision variables
the latter can be finitely axiomatized.
posed by Alfred Tarski in 1925, to take a disc in the plane, cut it into finitely many pieces, and reassemble the pieces so as to get a square of equal area.
x m≠ y n contains primes with only finitely many exceptions.
obtained by Gromov in 1981, which shows that a finitely generated group has polynomial growth if
the Grigorchuk group or the first Grigorchuk group is a finitely generated group constructed by Rostislav Grigorchuk that provided the first example of a finitely generated group of intermediate(that is,
by its properties of being finitely additive, invariant under rotations,
provide quasi-isometry invariants of metric spaces in general and of finitely generated groups in particular.
M{\displaystyle{\mathcal{M}}} is called finitely generated if Σ{\displaystyle\Sigma} is finite. finitely presented if both Σ{\displaystyle\Sigma}
is a finitely generated module over Nov,{\displaystyle\operatorname{Nov},}
The completion of a finitely generated module M over a Noetherian ring R can be obtained by extension of scalars:
Kharlampovich is known for her example of a finitely presented 3-step solvable group with unsolvable word problem(solution of the Novikov-Adian problem) and for the solution together with A. Myasnikov of the Tarski conjecture(from 1945) about equivalence of first order theories of finitely generated non-abelian free groups(also solved by Zlil Sela)
If the parameter space P{\displaystyle P} is finite(consisting of finitely many elements), then this robust optimization problem itself is a linear programming problem:
This states that every 3-manifold M{\displaystyle M} with finitely generated fundamental group has a compact core N{\displaystyle N},
A k 2{\displaystyle n!+A=k^{2}} has only finitely many solutions, for any given integer A. This result was further generalized by Luca(2002), who showed(again assuming the abc conjecture) that the equation n! P( x){\displaystyle n!=P(x)} has only finitely many integer solutions for a given polynomial P(x)
A subgroup of a finitely generated group need not be finitely generated.
Every finitely presented right R module is coherent.
A theory that can be axiomatized without schemata is said to be finitely axiomatized.