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  2. Zero-based numbering - Wikipedia

    en.wikipedia.org/wiki/Zero-based_numbering

    Zero-based numbering is a way of numbering in which the initial element of a sequence is assigned the index 0, rather than the index 1 as is typical in everyday non-mathematical or non-programming circumstances.

  3. Comparison of programming languages (array) - Wikipedia

    en.wikipedia.org/wiki/Comparison_of_programming...

    The following list contains syntax examples of how to determine the dimensions (index of the first element, the last element or the size in elements).. Some languages index from zero.

  4. Enumeration algorithm - Wikipedia

    en.wikipedia.org/wiki/Enumeration_algorithm

    The performance of an enumeration algorithm is measured in terms of the time required to produce the solutions, either in terms of the total time required to produce all solutions, or in terms of the maximal delay between two consecutive solutions and in terms of a preprocessing time, counted as the time before outputting the first solution.

  5. Counting - Wikipedia

    en.wikipedia.org/wiki/Counting

    Number blocks, which can be used for counting. Counting is the process of determining the number of elements of a finite set of objects; that is, determining the size of a set. . The traditional way of counting consists of continually increasing a (mental or spoken) counter by a unit for every element of the set, in some order, while marking (or displacing) those elements to avoid visiting the ...

  6. Enumeration - Wikipedia

    en.wikipedia.org/wiki/Enumeration

    All (non empty) finite sets are enumerable. Let S be a finite set with n > 0 elements and let K = {1,2,...,n}. Select any element s in S and assign f(n) = s. Now set S' = S − {s} (where − denotes set difference). Select any element s' ∈ S' and assign f(n − 1) = s' . Continue this process until all elements of the set have been assigned ...

  7. Unary numeral system - Wikipedia

    en.wikipedia.org/wiki/Unary_numeral_system

    The unary numeral system is the simplest numeral system to represent natural numbers: [1] to represent a number N, a symbol representing 1 is repeated N times. [2]In the unary system, the number 0 (zero) is represented by the empty string, that is, the absence of a symbol.

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  9. Enumerative combinatorics - Wikipedia

    en.wikipedia.org/wiki/Enumerative_combinatorics

    3 out of 4638576 [1] or out of 580717, [2] if rotations and reflections are not counted as distinct, Hamiltonian cycles on a square grid graph 8х8. Enumerative combinatorics is an area of combinatorics that deals with the number of ways that certain patterns can be formed.