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Spaghetti sort is a linear-time, analog algorithm for sorting a sequence of items, introduced by A. K. Dewdney in his Scientific American column. [ 1 ] [ 2 ] [ 3 ] This algorithm sorts a sequence of items requiring O ( n ) stack space in a stable manner.
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 ...
The second Chebyshev function ψ(x) is the summatory function of the von Mangoldt function: [7] = = .It was introduced by Pafnuty Chebyshev who used it to show that the true order of the prime counting function () is / .
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]
Dirichlet lambda function, λ(s) = (1 – 2 −s)ζ(s) where ζ is the Riemann zeta function; Liouville function, λ(n) = (–1) Ω(n); Von Mangoldt function, Λ(n) = log p if n is a positive power of the prime p
In computer science, integer sorting is the algorithmic problem of sorting a collection of data values by integer keys. Algorithms designed for integer sorting may also often be applied to sorting problems in which the keys are floating point numbers, rational numbers, or text strings. [1]
Church numerals are the representations of natural numbers under Church encoding. The higher-order function that represents natural number n is a function that maps any function to its n-fold composition. In simpler terms, the "value" of the numeral is equivalent to the number of times the function encapsulates its argument.
Computations or tables of the Wilks' distribution for higher dimensions are not readily available and one usually resorts to approximations. One approximation is attributed to M. S. Bartlett and works for large m [2] allows Wilks' lambda to be approximated with a chi-squared distribution