Additive subsets have been introduced in the framework of discrete tomography with the underlying notion of x-rays. This notion can be defined from two different ways. We provide in the paper extensions of the two definitions and a proof of their equivalence in a framework where x-rays are replaced by any subsets.
Additive number theory is the subfield of number theory concerning the study of subsets of integers and their behavior under addition.
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Sep 1, 2023 · One definition of additive combinatorics is that it is the study of subsets of (usually Abelian) groups.
A σ-additive set function is a function that has the additivity property even for countably infinite many sets.
Missing: Subsets. | Show results with:Subsets.
Duration: 7:24
Posted: Oct 27, 2024
Posted: Oct 27, 2024
Oct 31, 2021 · Given a monoid H, the set of all subsets of H is itself a monoid, herein denoted by P(H) and called the full power monoid of H, when endowed ...
Jun 4, 2012 · Suppose A is any set of non-negative integers which is closed under addition and has greatest common divisor 1. Then A must contain all but finitely many non- ...
May 8, 2009 · If 𝐺 is noncyclic and 𝐶 is an infinite convex subset of 𝑒𝐺, then 𝐺 is definable in (ℝ𝑒,𝐶). If moreover 𝐺 has finite rank, then ℤ is definable.
Jul 9, 2024 · Abstract:For a positive integer n \geq 2, define t_n to be the smallest number such that the additive energy E(A) of any subset A \subset ...