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  2. Merge algorithm - Wikipedia

    en.wikipedia.org/wiki/Merge_algorithm

    A list containing a single element is, by definition, sorted. Repeatedly merge sublists to create a new sorted sublist until the single list contains all elements. The single list is the sorted list. The merge algorithm is used repeatedly in the merge sort algorithm. An example merge sort is given in the illustration.

  3. Disjoint-set data structure - Wikipedia

    en.wikipedia.org/wiki/Disjoint-set_data_structure

    function Find(x) is if x.parent ≠ x then x.parent := Find(x.parent) return x.parent else return x end if end function This implementation makes two passes, one up the tree and one back down. It requires enough scratch memory to store the path from the query node to the root (in the above pseudocode, the path is implicitly represented using ...

  4. Merge sort - Wikipedia

    en.wikipedia.org/wiki/Merge_sort

    In computer science, merge sort (also commonly spelled as mergesort and as merge-sort [2]) is an efficient, general-purpose, and comparison-based sorting algorithm.Most implementations produce a stable sort, which means that the relative order of equal elements is the same in the input and output.

  5. Sorting algorithm - Wikipedia

    en.wikipedia.org/wiki/Sorting_algorithm

    A sorting algorithm is stable if whenever there are two records R and S with the same key, and R appears before S in the original list, then R will always appear before S in the sorted list. When equal elements are indistinguishable, such as with integers, or more generally, any data where the entire element is the key, stability is not an issue.

  6. Merge - Wikipedia

    en.wikipedia.org/wiki/Merge

    Merge algorithm, an algorithm for combining two or more sorted lists into a single sorted one; Mail merge, the production of multiple documents from a single template form and a structured data source; Randomness merger, a function which combines several, perhaps correlated, random variables into one high-entropy random variable

  7. Joint probability distribution - Wikipedia

    en.wikipedia.org/wiki/Joint_probability_distribution

    Moreover, the final row and the final column give the marginal probability distribution for A and the marginal probability distribution for B respectively. For example, for A the first of these cells gives the sum of the probabilities for A being red, regardless of which possibility for B in the column above the cell occurs, as ⁠ 2 / 3 ⁠.

  8. B-tree - Wikipedia

    en.wikipedia.org/wiki/B-tree

    The merge causes the parent to lose a separator element, so the parent may become deficient and need rebalancing. The merging and rebalancing may continue all the way to the root. Since the minimum element count doesn't apply to the root, making the root be the only deficient node is not a problem. The algorithm to rebalance the tree is as follows:

  9. Merge-insertion sort - Wikipedia

    en.wikipedia.org/wiki/Merge-insertion_sort

    Merge-insertion sort also performs fewer comparisons than the sorting numbers, which count the comparisons made by binary insertion sort or merge sort in the worst case. The sorting numbers fluctuate between n log 2 ⁡ n − 0.915 n {\displaystyle n\log _{2}n-0.915n} and n log 2 ⁡ n − n {\displaystyle n\log _{2}n-n} , with the same leading ...