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  2. Indicator function - Wikipedia

    en.wikipedia.org/wiki/Indicator_function

    What appears to the modern reader as the representing function's logical inversion, i.e. the representing function is 0 when the function R is "true" or satisfied", plays a useful role in Kleene's definition of the logical functions OR, AND, and IMPLY, [2]: 228 the bounded-[2]: 228 and unbounded-[2]: 279 ff mu operators and the CASE function.

  3. Complement (set theory) - Wikipedia

    en.wikipedia.org/wiki/Complement_(set_theory)

    If A is a set, then the absolute complement of A (or simply the complement of A) is the set of elements not in A (within a larger set that is implicitly defined). In other words, let U be a set that contains all the elements under study; if there is no need to mention U, either because it has been previously specified, or it is obvious and unique, then the absolute complement of A is the ...

  4. List of set identities and relations - Wikipedia

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

    Universe set and complement notation The notation L ∁ = def X ∖ L . {\displaystyle L^{\complement }~{\stackrel {\scriptscriptstyle {\text{def}}}{=}}~X\setminus L.} may be used if L {\displaystyle L} is a subset of some set X {\displaystyle X} that is understood (say from context, or because it is clearly stated what the superset X ...

  5. Karnaugh map - Wikipedia

    en.wikipedia.org/wiki/Karnaugh_map

    The POS expression gives a complement of the function (if F is the function so its complement will be F'). [10] Karnaugh maps can also be used to simplify logic expressions in software design. Boolean conditions, as used for example in conditional statements, can get very complicated, which makes the code difficult to read and to maintain. Once ...

  6. Complement graph - Wikipedia

    en.wikipedia.org/wiki/Complement_graph

    The complement of an edgeless graph is a complete graph and vice versa. Any induced subgraph of the complement graph of a graph G is the complement of the corresponding induced subgraph in G. An independent set in a graph is a clique in the complement graph and vice versa. This is a special case of the previous two properties, as an independent ...

  7. Complement (complexity) - Wikipedia

    en.wikipedia.org/wiki/Complement_(complexity)

    The complement operation is an involution, meaning it "undoes itself", or the complement of the complement is the original problem. One can generalize this to the complement of a complexity class, called the complement class, which is the set of complements of every problem in the class. [5]

  8. Method of complements - Wikipedia

    en.wikipedia.org/wiki/Method_of_complements

    In this usage, the four's complement refers to the radix complement of a number in base four while fours' complement is the diminished radix complement of a number in base 5. However, the distinction is not important when the radix is apparent (nearly always), and the subtle difference in apostrophe placement is not common practice.

  9. Complement (group theory) - Wikipedia

    en.wikipedia.org/wiki/Complement_(group_theory)

    A p-complement is a complement to a Sylow p-subgroup. Theorems of Frobenius and Thompson describe when a group has a normal p-complement. Philip Hall characterized finite soluble groups amongst finite groups as those with p-complements for every prime p; these p-complements are used to form what is called a Sylow system.