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2. Subset - Wikipedia

   en.wikipedia.org/wiki/Subset

   The set {x: x is a prime number greater than 10} is a proper subset of {x: x is an odd number greater than 10} The set of natural numbers is a proper subset of the set of rational numbers; likewise, the set of points in a line segment is a proper subset of the set of points in a line.

3. Set (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Set_(mathematics)

   A set of polygons in an Euler diagram This set equals the one depicted above since both have the very same elements.. In mathematics, a set is a collection of different [1] things; [2] [3] [4] these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other ...

4. Natural density - Wikipedia

   en.wikipedia.org/wiki/Natural_density

   A subset A of positive integers has natural density α if the proportion of elements of A among all natural numbers from 1 to n converges to α as n tends to infinity.. More explicitly, if one defines for any natural number n the counting function a(n) as the number of elements of A less than or equal to n, then the natural density of A being α exactly means that [1]

5. List of set identities and relations - Wikipedia

   en.wikipedia.org/wiki/List_of_set_identities_and...

   For instance, had been declared as a subset of , with the sets and not necessarily related to each other in any way, then would likely mean instead of . If it is needed then unless indicated otherwise, it should be assumed that X {\displaystyle X} denotes the universe set , which means that all sets that are used in the formula are subsets of X ...

6. Wikipedia:Notability (numbers) - Wikipedia

   en.wikipedia.org/wiki/Wikipedia:Notability_(numbers)

   The subset of numbers anyone could look up in Wikipedia is very small. And if we strike out those numbers that will only be looked up only out of curiosity on whether or not Wikipedia has an article about that number, we're left with an even smaller subset. That subset, give or take a few members, is exactly the same subset WP:NUM calls for.

7. Sum-free set - Wikipedia

   en.wikipedia.org/wiki/Sum-free_set

   For example, the set of odd numbers is a sum-free subset of the integers, and the set {N + 1, ..., 2N } forms a large sum-free subset of the set {1, ..., 2N }. Fermat's Last Theorem is the statement that, for a given integer n > 2, the set of all nonzero n th powers of the integers is a sum-free set.

8. Null set - Wikipedia

   en.wikipedia.org/wiki/Null_set

   Every finite or countably infinite subset of the real numbers ⁠ ⁠ is a null set. For example, the set of natural numbers ⁠ ⁠, the set of rational numbers ⁠ ⁠ and the set of algebraic numbers ⁠ ⁠ are all countably infinite and therefore are null sets when considered as subsets of the real numbers.

9. Maximal set - Wikipedia

   en.wikipedia.org/wiki/Maximal_set

   In recursion theory, the mathematical theory of computability, a maximal set is a coinfinite recursively enumerable subset A of the natural numbers such that for every further recursively enumerable subset B of the natural numbers, either B is cofinite or B is a finite variant of A or B is not a superset of A.