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  2. Primitive recursive function - Wikipedia

    en.wikipedia.org/wiki/Primitive_recursive_function

    Suppose were primitive recursive, then the unary function defined by () = ((,)) would also be primitive recursive, as it is defined by composition from the successor function and . But then g {\displaystyle g} occurs in the enumeration, so there is some number n {\displaystyle n} such that g = f n {\displaystyle g=f_{n}} .

  3. Successor function - Wikipedia

    en.wikipedia.org/wiki/Successor_function

    The successor function is part of the formal language used to state the Peano axioms, which formalise the structure of the natural numbers.In this formalisation, the successor function is a primitive operation on the natural numbers, in terms of which the standard natural numbers and addition are defined. [1]

  4. Predecessor problem - Wikipedia

    en.wikipedia.org/wiki/Predecessor_problem

    predecessor(x), which returns the largest element in S strictly smaller than x; successor(x), which returns the smallest element in S strictly greater than x; In addition, data structures which solve the dynamic version of the problem also support these operations: insert(x), which adds x to the set S; delete(x), which removes x from the set S

  5. Successor company - Wikipedia

    en.wikipedia.org/wiki/Successor_company

    The major advantage is saving the money for the initial ramp-up (employee training, equipment purchase, marketing, etc.). If the previous company was failing, this is a disadvantage for its successors in various respects. If the successor succeeds where the predecessor failed, the company may be called a "phoenix company" ("rising from the ashes").

  6. Succession of states - Wikipedia

    en.wikipedia.org/wiki/Succession_of_states

    Succession may refer to the transfer of rights, obligations, or property from a previously well-established predecessor state to its successor state, and can include overseas assets such as diplomatic missions, foreign-exchange reserves, and museum artifacts; and participation in treaties in force at the date of succession or international ...

  7. Glossary of graph theory - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_graph_theory

    If a directed path leads from vertex x to vertex y, x is a predecessor of y, y is a successor of x, and y is said to be reachable from x. direction 1. The asymmetric relation between two adjacent vertices in a graph, represented as an arrow. 2. The asymmetric relation between two vertices in a directed path. disconnect Cause to be disconnected ...

  8. Order of succession - Wikipedia

    en.wikipedia.org/wiki/Order_of_succession

    In some cases the successor takes up the full role of the previous office-holder, as in the case of the presidency of many countries; in other non-hereditary cases there is not a full succession, but a caretaker chosen by succession criteria assumes some or all of the responsibilities, but not the formal office, of the position.

  9. Template:S-start - Wikipedia

    en.wikipedia.org/wiki/Template:S-start

    Template:s-vac: For vacant titles (predecessor or successor) Template:s-tul: For titular monarchs (legitimate but not ruling) Template:s-hou: For royal house/individual information; Template:s-ref: For citations of succession boxes; Template:s-line: Used for succession boxes of rail and subway/underground railway networks