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The conjecture was disproved in 1959 by L. R. Ford Jr. and Selmer M. Johnson, who found a different sorting algorithm, the Ford–Johnson merge-insertion sort, using fewer comparisons. [1] The same sequence of sorting numbers also gives the worst-case number of comparisons used by merge sort to sort items. [2]
PHP has hundreds of base functions and thousands more from extensions. Prior to PHP version 5.3.0, functions are not first-class functions and can only be referenced by their name, whereas PHP 5.3.0 introduces closures. [35] User-defined functions can be created at any time and without being prototyped. [35]
Text after a number is not a problem if the sort order of a column is specified by using data-sort-type=number. Leading zeroes are not necessary for numerical sorting of a column. If it seems that way, then that means the column is being sorted alphabetically. Look in the first 5 cells for anything other than numbers, and correct those cells ...
PHPDoc is an adaptation of Javadoc format for the PHP programming language.It is still an informal standard for commenting PHP code, but it is in the process of being formalized. [1]
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In computing, natural sort order (or natural sorting) is the ordering of strings in alphabetical order, except that multi-digit numbers are treated atomically, i.e., as if they were a single character. Natural sort order has been promoted as being more human-friendly ("natural") than machine-oriented, pure alphabetical sort order.
If the number m of buckets is linear in the input size n, each bucket has a constant size, so sorting a single bucket with an O(n 2) algorithm like insertion sort has complexity O(1 2) = O(1). The running time of the final insertion sorts is therefore m ⋅ O(1) = O ( m ) = O ( n ) .