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  2. Sorting number - Wikipedia

    en.wikipedia.org/wiki/Sorting_number

    In mathematics and computer science, the sorting numbers are a sequence of numbers introduced in 1950 by Hugo Steinhaus for the analysis of comparison sort algorithms. These numbers give the worst-case number of comparisons used by both binary insertion sort and merge sort. However, there are other algorithms that use fewer comparisons.

  3. Sorting algorithm - Wikipedia

    en.wikipedia.org/wiki/Sorting_algorithm

    Radix sort is an algorithm that sorts numbers by processing individual digits. n numbers consisting of k digits each are sorted in O(n · k) time. Radix sort can process digits of each number either starting from the least significant digit (LSD) or starting from the most significant digit (MSD). The LSD algorithm first sorts the list by the ...

  4. Pancake sorting - Wikipedia

    en.wikipedia.org/wiki/Pancake_sorting

    Pancake sorting is the mathematical problem of sorting a disordered stack of pancakes in order of size when a spatula can be inserted at any point in the stack and used to flip all pancakes above it. A pancake number is the minimum number of flips required for a given number of pancakes.

  5. American flag sort - Wikipedia

    en.wikipedia.org/wiki/American_flag_sort

    An American flag sort is an efficient, in-place variant of radix sort that distributes items into buckets. Non-comparative sorting algorithms such as radix sort and American flag sort are typically used to sort large objects such as strings, for which comparison is not a unit-time operation. [ 1 ]

  6. Order theory - Wikipedia

    en.wikipedia.org/wiki/Order_theory

    Orders are everywhere in mathematics and related fields like computer science.The first order often discussed in primary school is the standard order on the natural numbers e.g. "2 is less than 3", "10 is greater than 5", or "Does Tom have fewer cookies than Sally?".

  7. Quicksort - Wikipedia

    en.wikipedia.org/wiki/Quicksort

    For this reason, it is sometimes called partition-exchange sort. [4] The sub-arrays are then sorted recursively. This can be done in-place, requiring small additional amounts of memory to perform the sorting. Quicksort is a comparison sort, meaning that it can sort items of any type for which a "less-than" relation (formally, a total order) is ...

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