WebMar 22, 2024 · finitely meaning: 1. in a way that has a limit or end: 2. in a way that has a limit or end: . Learn more. WebGiven this definition, the definition of a closed set can be reformulated as follows: A subset \(Z\) of a metric space \((X,d)\) is closed if and only if, for any point \(x \notin Z,\) \(d(x,Z)>0.\) ... The union of finitely many closed sets is closed. These properties follow from the corresponding properties for open sets. Note that the union ...

Finitely Generated Abelian Groups: Classification & Examples

WebDefinition 4.6. A metric space ( X, d) is called totally bounded if for every r > 0, there exist finitely many points x 1, …, x N ∈ X such that. X = ⋃ n = 1 N B r ( x n). A set Y ⊂ X is called totally bounded if the subspace ( Y, d ′) is totally bounded. 🔗. Figure 4.1. Webn holds true for at most finitely many indices n2f1;2;3;:::g. We formally define the set of all outcomes !for which an infinite number of the events is true, and for which at most finitely many events are true, as follows: fA n i:o:g= \1 m=1 [1 n=m A n (1) fA n f:o:g= fA n i:o:gc = [1 m=1 \ 1 n=m A c n (2) where the final equality holds by ... kntv bay area

Finitely - definition of finitely by The Free Dictionary

WebExamples of how to use “finitely” in a sentence from the Cambridge Dictionary Labs WebTranslations in context of "finitely many blow-ups or" in English-Russian from Reverso Context: The "Weak factorization theorem", proved by Abramovich, Karu, Matsuki, and Włodarczyk (2002), says that any birational map between two smooth complex projective varieties can be decomposed into finitely many blow-ups or blow-downs of smooth … WebDec 29, 2014 · $\begingroup$ So, do you mean that $\{ n : P(n) true \}$ contains infinitely many elements in the sense that this set is uncountable ? $\endgroup$ – user203867 … kntv phone number