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  2. Flajolet–Martin algorithm - Wikipedia

    en.wikipedia.org/wiki/Flajolet–Martin_algorithm

    The Flajolet–Martin algorithm is an algorithm for approximating the number of distinct elements in a stream with a single pass and space-consumption logarithmic in the maximal number of possible distinct elements in the stream (the count-distinct problem).

  3. Count-distinct problem - Wikipedia

    en.wikipedia.org/wiki/Count-distinct_problem

    In computer science, the count-distinct problem [1] (also known in applied mathematics as the cardinality estimation problem) is the problem of finding the number of distinct elements in a data stream with repeated elements. This is a well-known problem with numerous applications.

  4. HyperLogLog - Wikipedia

    en.wikipedia.org/wiki/HyperLogLog

    If the maximum number of leading zeros observed is n, an estimate for the number of distinct elements in the set is 2 n. [1] In the HyperLogLog algorithm, a hash function is applied to each element in the original multiset to obtain a multiset of uniformly distributed random numbers with the same cardinality as the original multiset. The ...

  5. Eight queens puzzle - Wikipedia

    en.wikipedia.org/wiki/Eight_queens_puzzle

    There is no known formula for the exact number of solutions for placing n queens on an n × n board i.e. the number of independent sets of size n in an n × n queen's graph. The 27×27 board is the highest-order board that has been completely enumerated. [ 5 ]

  6. Element distinctness problem - Wikipedia

    en.wikipedia.org/wiki/Element_distinctness_problem

    Elements that occur more than / times in a multiset of size may be found by a comparison-based algorithm, the Misra–Gries heavy hitters algorithm, in time (⁡). The element distinctness problem is a special case of this problem where k = n {\displaystyle k=n} .

  7. Determining the number of clusters in a data set - Wikipedia

    en.wikipedia.org/wiki/Determining_the_number_of...

    The average silhouette of the data is another useful criterion for assessing the natural number of clusters. The silhouette of a data instance is a measure of how closely it is matched to data within its cluster and how loosely it is matched to data of the neighboring cluster, i.e., the cluster whose average distance from the datum is lowest. [8]

  8. Selection algorithm - Wikipedia

    en.wikipedia.org/wiki/Selection_algorithm

    Thus, a problem on elements is reduced to two recursive problems on / elements (to find the pivot) and at most / elements (after the pivot is used). The total size of these two recursive subproblems is at most 9 n / 10 {\displaystyle 9n/10} , allowing the total time to be analyzed as a geometric series adding to O ( n ) {\displaystyle O(n)} .

  9. Divisor function - Wikipedia

    en.wikipedia.org/wiki/Divisor_function

    In mathematics, and specifically in number theory, a divisor function is an arithmetic function related to the divisors of an integer. When referred to as the divisor function, it counts the number of divisors of an integer (including 1 and the number itself).

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