Приклади вживання Finitely Англійська мовою та їх переклад на Українською
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And"only finitely many objects exist such that…".
All three Thompson groups are infinite but finitely presented.
Every integer has finitely many distinct compositions.
It will therefore be of its nature to exist either finitely or infinitely.
All other finitely generated infinite groups have exactly one end.
A similar theory has been constructed for semi-local rings; that is, rings that have finitely many maximal ideals.
Any direct sum of finitely many finitely generated abelian groups is again a finitely generated abelian group.
While most strings are random,no particular one can be proved so, except for finitely many short ones:.
A discrete environment is one where you have finitely many action choices, and finitely many things you can sense.
This theorem is an important tool in model theory, as it provides a useful method forconstructing models of any set of sentences that is finitely consistent.
So, for example, in chess, again, there's finitely many board positions, and finitely many things you can do.
By using this approximation, we obtain estimates of accuracy for analytic operators that strengthen previously known results andfor operators containing finitely many Fréchet derivatives.
Since proofs are always finite andtherefore involve only finitely many of the given sentences, the compactness theorem follows.
He was awarded the Fields Medal in 1986 for proving the Mordell conjecture, which states that any non-singular projective curve of genus ggt; 1 defined over anumber field K contains only finitely many K-rational points.
The complex Δis said to be finite if it has finitely many faces, or equivalently if its vertex set is finite.
In either case, every finite subgraph of G corresponds to a compact subspace of the topological space, and every compact subspace corresponds to a finite subgraph together with,in the Hausdorff case, finitely many compact proper subsets of edges.
This paradox shows that there is no finitely additive measure on a sphere defined on all subsets which is equal on congruent pieces.
An end E of a graph G is defined to be a free end if there is a finite set X of vertices with the property that X separates E from all other ends of the graph.(That is, in terms of havens, βE(X) isdisjoint from βD(X) for every other end D.) In a graph with finitely many ends, every end must be free.
To locate a piece of“ultimately” flat space,you would have to move to a point that is a“finitely large” distance away from all the super clusters of galaxies.
It is also discrete because there's finitely many action choices and finitely many board positions, and obviously, it is adversarial, since your opponent is out to get you.
The notion of a Dehn function in geometric group theory,which estimates the area of a relation in a finitely presented group in terms of the length of that relation, is also named after him.
Such splittings are, in general, not unique, but any two splittings of a finitely generated Abelian group into direct sums of non-split cyclic groups are isomorphic, so that the number of infinite cyclic summands and the collection of the orders of the primary cyclic summands do not depend on the splittings chosen.
This includes both quantification of the form"exactly k objects exist such that…" as well as"infinitely manyobjects exist such that…" and"only finitely many objects exist such that…".
Mohar(1991) defines a connected locally finite graph to be"almost symmetric" if there exist a vertex v and a number D such that, for every other vertex w, there is an automorphism of the graph for which the image of v is within distance D of w; equivalently, a connected locally finite graph isalmost symmetric if its automorphism group has finitely many orbits.
While most strings are random,no particular one can be proved so, except for finitely many short ones:"A paraphrase of Chaitin's result is that there can be no formal proof that a sufficiently long string is random…".
This has many implications for the structure of the fundamental group: it is finitely presented; the word problem for Γ has a positive solution; the group Γ has finite virtual cohomological dimension; it contains only finitely many conjugacy classes of elements of finite order; the abelian subgroups of Γ are virtually cyclic, so that it does not contain a subgroup isomorphic to Z×Z. Myers theorem.