science, a nearly-sorted sequence, also known as roughly-sorted sequence and as k {\displaystyle k} -sorted sequence is a sequence which is almost ordered...
8 KB (1,581 words) - 18:34, 4 December 2023
considered sorted). Repeatedly merge sublists to produce new sorted sublists until there is only one sublist remaining. This will be the sorted list. Example...
49 KB (6,723 words) - 09:05, 31 August 2024
tournament system instead of a sorting algorithm. Collation – Assembly of written information into a standard order K-sorted sequence Schwartzian transform –...
68 KB (6,409 words) - 12:25, 15 August 2024
typical GPU. A sorted sequence is a monotonically non-decreasing (or non-increasing) sequence. A bitonic sequence is a sequence with x 0 ≤ ⋯ ≤ x k ≥ ⋯ ≥ x n...
9 KB (1,353 words) - 09:34, 16 July 2024
already sorted or partly sorted), insertion sort is distinctly more efficient compared to selection sort. On average (assuming the rank of the (k + 1)-st...
22 KB (2,910 words) - 12:44, 28 August 2024
computer science, k-way merge algorithms or multiway merges are a specific type of sequence merge algorithms that specialize in taking in k sorted lists and merging...
15 KB (2,409 words) - 21:45, 10 June 2024
Shellsort (redirect from Shell-Metzner sort)
element produces a sorted list. Such a list is said to be h-sorted. It can also be thought of as h interleaved lists, each individually sorted. Beginning with...
33 KB (3,436 words) - 06:53, 17 May 2024
Bucket sort, or bin sort, is a sorting algorithm that works by distributing the elements of an array into a number of buckets. Each bucket is then sorted individually...
13 KB (2,190 words) - 17:41, 26 August 2024
z ) = ∑ k = 0 ∞ F k z k − ∑ k = 0 ∞ F k z k + 1 − ∑ k = 0 ∞ F k z k + 2 = ∑ k = 0 ∞ F k z k − ∑ k = 1 ∞ F k − 1 z k − ∑ k = 2 ∞ F k − 2 z k = 0 z 0 +...
86 KB (12,984 words) - 06:50, 1 September 2024
application, a topological ordering is just a valid sequence for the tasks. Precisely, a topological sort is a graph traversal in which each node v is visited...
23 KB (3,176 words) - 11:07, 8 July 2024
already close to sorted, according to some measure of sortedness, the number of comparisons required to sort it can be smaller. An adaptive sort takes advantage...
21 KB (2,674 words) - 12:54, 4 January 2024
Kaprekar's routine (redirect from Kaprekar sequence)
number of the sequence. Repeat step 2. The sequence is called a Kaprekar sequence and the function K b ( n ) = α − β {\displaystyle K_{b}(n)=\alpha -\beta...
9 KB (2,032 words) - 21:06, 31 August 2024
Collation (redirect from Collating sequence)
Another method is for numbers to be sorted alphabetically as they would be spelled: for example 1776 would be sorted as if spelled out "seventeen seventy-six"...
18 KB (2,417 words) - 22:20, 2 April 2024
maximum value is at most k. In some descriptions of counting sort, the input to be sorted is assumed to be more simply a sequence of integers itself, but...
12 KB (1,591 words) - 12:36, 9 February 2024
Spaghetti sort is a linear-time, analog algorithm for sorting a sequence of items, introduced by A. K. Dewdney in his Scientific American column. This...
3 KB (387 words) - 22:05, 24 April 2024
partial sorting is returning a list of the k smallest (or k largest) elements in order. The other elements (above the k smallest ones) may also be sorted, as...
8 KB (952 words) - 15:19, 26 February 2023
sorted are. Integer sorting algorithms including pigeonhole sort, counting sort, and radix sort are widely used and practical. Other integer sorting algorithms...
32 KB (4,049 words) - 21:50, 10 June 2024
In combinatorial mathematics, a de Bruijn sequence of order n on a size-k alphabet A is a cyclic sequence in which every possible length-n string on A...
32 KB (3,517 words) - 03:20, 25 March 2024
a k-regular sequence is a sequence satisfying linear recurrence equations that reflect the base-k representations of the integers. The class of k-regular...
14 KB (2,353 words) - 09:04, 7 November 2023
already sorted, but the algorithm does not know if it is completed. The algorithm needs one additional whole pass without any swap to know it is sorted. Third...
19 KB (2,330 words) - 02:55, 29 August 2024
Quicksort (redirect from Quick sort)
already sorted, so only the less-than and greater-than partitions need to be recursively sorted. In pseudocode, the quicksort algorithm becomes: // Sorts a...
71 KB (9,936 words) - 17:41, 23 August 2024
Cartesian tree (category Sorting algorithms)
sort algorithms that perform efficiently on nearly-sorted inputs, and as the basis for pattern matching algorithms. A Cartesian tree for a sequence can...
30 KB (4,071 words) - 20:59, 28 July 2024
representations. A sequence like [b, c, e, d, f, g, ba] would be sorted as [b, ba, c, d, e, f, g]. If lexicographic ordering is used to sort variable-length...
20 KB (2,604 words) - 07:17, 11 June 2024
almost sorted sequences yields a 24-sorter". Information Processing Letters. 118: 17–20. doi:10.1016/j.ipl.2016.08.005. Dobbelaere, Bert. "SorterHunter"...
21 KB (2,159 words) - 08:12, 27 April 2024
elements of some prefix of the sequence. Now, the number of comparisons is irrelevant. The minimum number of flips required to sort any stack of n pancakes has...
21 KB (2,201 words) - 07:56, 18 July 2024
Recurrence relation (redirect from Recursive sequence)
term of a sequence of numbers is equal to some combination of the previous terms. Often, only k {\displaystyle k} previous terms of the sequence appear in...
25 KB (4,165 words) - 12:55, 14 August 2024
in sorted order. Sorting is done based on one or more sort keys extracted from each line of input. By default, the entire input is taken as sort key...
15 KB (1,113 words) - 21:45, 10 June 2024
computer science, the sorting numbers are a sequence of numbers introduced in 1950 by Hugo Steinhaus for the analysis of comparison sort algorithms. These...
3 KB (436 words) - 22:43, 8 June 2024
Smoothsort (redirect from Poplar sort)
nearly sorted inputs. However, it does not handle all nearly sorted sequences optimally. Using the count of inversions as a measure of un-sortedness (the...
18 KB (2,455 words) - 05:19, 18 April 2024
Funnelsort (redirect from Funnel sort)
called a k-merger, which is described in the section below. A k-merger takes k {\displaystyle k} sorted sequences. Upon one invocation of a k-merger, it...
8 KB (1,427 words) - 03:39, 31 July 2024