eventually coincide

Let $A$ and $B$ be two nonempty sets of integers. We say that $A$ and $B$ eventually coincide if there is an integer $C$ such that $n\\in A$ if and only if $n\\in B$ for all $n\\geq C$ . In this case, we write $A\\sim B$ , noting that the relation of eventually coinciding is clearly an equivalence relation. While a seemingly trivial notation, this turns out to be the “right” notion of of sets when dealing with asymptotic properties such as .

References

1 Nathanson, Melvyn B., Elementary Methods in Number Theory, Graduate Texts in Mathematics, Volume 195. Springer-Verlag, 2000.

单词	EventuallyCoincide
释义	eventually coincide Let $A$ and $B$ be two nonempty sets of integers. We say that $A$ and $B$ eventually coincide if there is an integer $C$ such that $n\\in A$ if and only if $n\\in B$ for all $n\\geq C$ . In this case, we write $A\\sim B$ , noting that the relation of eventually coinciding is clearly an equivalence relation. While a seemingly trivial notation, this turns out to be the “right” notion of of sets when dealing with asymptotic properties such as . References 1 Nathanson, Melvyn B., Elementary Methods in Number Theory, Graduate Texts in Mathematics, Volume 195. Springer-Verlag, 2000.
随便看	Hadamard product HadamardsInequality HadamardThreecircleTheorem Hadamard three-circle theorem Hadamard’s inequality HadwigerFinslerInequality Hadwiger-Finsler inequality HahnBanachTheorem Hahn-Banach theorem HahnBanachTheoremgeometricForm Hahn-Banach theorem (geometric form) HahnDecompositionTheorem Hahn decomposition theorem HahnKolmogorovTheorem Hahn-Kolmogorov theorem HahnMazurkiewiczTheorem Hahn-Mazurkiewicz theorem HairyBallTheorem hairy ball theorem Half adjoint equivalences HalffactorialRing half-factorial ring Halgebra H * -algebra HalleysFormula