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  2. Knapsack problem - Wikipedia

    en.wikipedia.org/wiki/Knapsack_problem

    The subset sum problem is a special case of the decision and 0-1 problems where each kind of item, the weight equals the value: =. In the field of cryptography, the term knapsack problem is often used to refer specifically to the subset sum problem. The subset sum problem is one of Karp's 21 NP-complete problems. [2]

  3. 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 .

  4. 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]

  5. Subset - Wikipedia

    en.wikipedia.org/wiki/Subset

    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. The relationship of one set being a subset of another is called inclusion (or sometimes containment).

  6. 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 ...

  7. Nested set collection - Wikipedia

    en.wikipedia.org/wiki/Nested_set_collection

    The first condition states that the whole set B, which contains all the elements of every subset, must belong to the nested set collection. Some authors [ 1 ] do not assume that B is nonempty. The second condition states that the intersection of every couple of sets in the nested set collection is not the empty set only if one set is a subset ...