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  2. Erdős–Woods number - Wikipedia

    en.wikipedia.org/wiki/Erdős–Woods_number

    The Erdős–Woods numbers can be characterized in terms of certain partitions of the prime numbers.A number k is an Erdős–Woods number if and only if the prime numbers less than k can be partitioned into two subsets X and Y with the following property: for every pair of positive integers x and y with x + y = k, either x is divisible by a prime in X, or y is divisible by a prime in Y.

  3. 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]

  4. Absolutely convex set - Wikipedia

    en.wikipedia.org/wiki/Absolutely_convex_set

    A subset of a real or complex vector space is called a disk and is said to be disked, absolutely convex, and convex balanced if any of the following equivalent conditions is satisfied: S {\displaystyle S} is a convex and balanced set .

  5. Subset - Wikipedia

    en.wikipedia.org/wiki/Subset

    A is a subset of B (denoted ) and, conversely, B is a superset of A (denoted ). In mathematics, a set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be equal; if they are unequal, then A is a proper subset of B.

  6. Derived set (mathematics) - Wikipedia

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

    A bijection between two topological spaces is a homeomorphism if and only if the derived set of the image (in the second space) of any subset of the first space is the image of the derived set of that subset. [7] A space is a T 1 space if every subset consisting of a single point is closed. [8]

  7. 9 Rare American Coins That Are Worth a Lot of Money - AOL

    www.aol.com/9-rare-american-coins-worth...

    A Washington Quarter from 1947 in circulated condition is worth between $4.65 and $7.25. ... and 5% tin and zinc alloy, it sold for $1.7 million in 2010 but is ... for Valentine's Day.

  8. Closed set - Wikipedia

    en.wikipedia.org/wiki/Closed_set

    In geometry, topology, and related branches of mathematics, a closed set is a set whose complement is an open set. [1] [2] In a topological space, a closed set can be defined as a set which contains all its limit points.

  9. Bounded set (topological vector space) - Wikipedia

    en.wikipedia.org/wiki/Bounded_set_(topological...

    The collection of all bounded sets on a topological vector space is called the von Neumann bornology or the (canonical) bornology of .. A base or fundamental system of bounded sets of is a set of bounded subsets of such that every bounded subset of is a subset of some . [1] The set of all bounded subsets of trivially forms a fundamental system of bounded sets of .