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Worst-case number of comparisons used by sorting algorithms
computer science, the sorting numbers are a sequence of numbers introduced in 1950 by Hugo Steinhaus for the analysis of comparison sort algorithms. These
Sorting_number
Algorithm that arranges lists in order
sorted lists. Sorting is also often useful for canonicalizing data and for producing human-readable output. Formally, the output of any sorting algorithm
Sorting_algorithm
Mathematics problem
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
Pancake_sorting
Abstract devices built up of a fixed number of "wires"
perform sorting on fixed numbers of values, in which case they are called sorting networks. Sorting networks differ from general comparison sorts in that
Sorting_network
Node ordering for directed acyclic graphs
constructing it. Topological sorting has many applications, especially in ranking problems such as feedback arc set. Topological sorting is also possible when
Topological_sorting
Simple sorting algorithm using comparisons
already sorted, while quicksort would still perform its entire O ( n log n ) {\displaystyle O(n\log n)} sorting process. While any sorting algorithm
Bubble_sort
Number equal to the sum of its proper divisors
In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number
Perfect_number
Number used for counting
natural-number results: subtracting a larger natural number from a smaller one results in a negative number and dividing one natural number by another
Natural_number
Sorting algorithm
Insertion sort is a simple sorting algorithm that builds the final sorted array (or list) one item at a time by comparisons. It is much less efficient
Insertion_sort
Class of sorting algorithms that can handle massive amounts of data
External sorting is a class of sorting algorithms that can handle massive amounts of data. External sorting is required when the data being sorted do not
External_sorting
Integer having a non-trivial divisor
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Accordingly, it is a positive integer that has
Composite_number
Figurate number
The triangular lattice representing the n {\displaystyle n} th triangular number contains n {\displaystyle n} rows: the first row contains one point, the
Triangular_number
Divide and conquer sorting algorithm
Merge sort (also commonly spelled as mergesort or merge-sort) is an efficient, general-purpose, comparison-based sorting algorithm. Most implementations
Merge_sort
Type of sorting algorithm that works by comparing pairs of elements
than the Ω(n log n) bound for comparison sorting by using non-comparison sorts; an example is integer sorting, where all keys are integers. When the keys
Comparison_sort
Numbers obtained by adding the two previous ones
month, the number of pairs of rabbits is equal to the number of mature pairs (that is, the number of pairs in month n – 2) plus the number of pairs alive
Fibonacci_sequence
Non-comparative lexicographical sorting algorithm
In computer science, radix sort is a non-comparative sorting algorithm. It avoids comparison by creating and distributing elements into buckets according
Radix_sort
Integer filtered out using a sieve similar to that of Eratosthenes
In number theory, a lucky number is a natural number in a set which is generated by a certain "sieve". This sieve is similar to the sieve of Eratosthenes
Lucky_number
Infinite integer series where the next number is the sum of the two preceding it
numbers two terms apart in the Fibonacci sequence results in the Lucas number in between. The first few Lucas numbers are 2, 1, 3, 4, 7, 11, 18, 29, 47
Lucas_number
Computational task of sorting whole numbers
integer sorting is the algorithmic problem of sorting a collection of data values by integer keys. Algorithms designed for integer sorting may also often
Integer_sorting
Type of computer science algorithm
not-in-place sorting algorithms The bit space requirement of a pointer is O(log n), but pointer size can be considered a constant in most sorting applications
In-place_algorithm
Assembly of written information into a standard order
be sorted, although it can slow down sorting significantly. For example, Microsoft Windows does this when sorting file names. The underlying sort order
Collation
Numbers with a certain property involving recursive summation
In number theory, a happy number is a number which eventually reaches 1 when the number is replaced by the sum of the square of each digit. For instance
Happy_number
Number that remains the same when its digits are reversed
A palindromic number (also known as a numeral palindrome or a numeric palindrome) is a number (such as 16361) that remains the same when its digits are
Palindromic_number
Recursive integer sequence
illustrate the case n = 4: Cn is the number of stack-sortable permutations of {1, ..., n}. A permutation w is called stack-sortable if S(w) = (1, ..., n), where
Catalan_number
Parallel sorting algorithm
for sorting. It is also used as a construction method for building a sorting network. The algorithm was devised by Ken Batcher. The resulting sorting networks
Bitonic_sorter
Sorting algorithm
different sorting algorithm, or by recursively applying the bucket sorting algorithm. It is a distribution sort, a generalization of pigeonhole sort that allows
Bucket_sort
Sorting algorithm
terms of number of comparisons. Among quadratic sorting algorithms (sorting algorithms with a simple average-case of Θ(n2)), selection sort almost always
Selection_sort
Sorting algorithm
In computer science, bogosort (also known as permutation sort and stupid sort) is a sorting algorithm based on the generate and test paradigm. The function
Bogosort
Number divisible only by 1 and itself
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that
Prime_number
Sorting algorithm
In computer science, patience sorting is a sorting algorithm inspired by, and named after, the card game patience. A variant of the algorithm efficiently
Patience_sorting
Product of an integer with itself
In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with
Square_number
Sorting algorithm
counting sort is an algorithm for sorting a collection of objects according to keys that are small positive integers; that is, it is an integer sorting algorithm
Counting_sort
Ordering of strings in alphabetical order with numeric value consideration
natural sorting by default to display file lists. Collation Lexicographical order ISO 8601 Semantic versioning "Sorting for Humans : Natural Sort Order"
Natural_sort_order
Prime number of the form 2^n – 1
mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form Mn = 2n − 1 for some integer
Mersenne_prime
Concatenation of the first n prime numbers
In mathematics, a Smarandache–Wellin number is an integer that in a given base is the concatenation of the first n prime numbers written in that base.
Smarandache–Wellin_number
Comparison sorting algorithm
Cycle sort is an in-place, unstable sorting algorithm, a comparison sort that is theoretically optimal in terms of the total number of writes to the original
Cycle_sort
Divide and conquer sorting algorithm
1961. It is still a commonly used algorithm for sorting. Overall, it is slightly faster than merge sort and heapsort for randomized data, particularly
Quicksort
Count of the possible partitions of a set
For instance, the nth Bell number equals the number of permutations on n items in which no three values that are in sorted order have the last two of
Bell_number
Number that cannot be written as an aliquot sum
In mathematics, an untouchable number is a positive integer that cannot be expressed as the sum of all the proper divisors of any positive integer. That
Untouchable_number
Type of number introduced by Mike Keith
mathematics, a Keith number or repfigit number (short for repetitive Fibonacci-like digit) is a natural number n {\displaystyle n} in a given number base b {\displaystyle
Keith_number
Postal system methods for routing mail
Mail sorting refers to the methods by which postal systems determine how and where to route mail for delivery. Once accomplished by hand, mail sorting is
Mail_sorting
Positive integer of the form (2^(2^n))+1
In mathematics, a Fermat number, named after Pierre de Fermat (1601–1665), the first known to have studied them, is a positive integer of the form: F n
Fermat_number
Type of figurate number
A hexagonal number is a figurate number. The nth hexagonal number hn is the number of distinct dots in a pattern of dots consisting of the outlines of
Hexagonal_number
Class of natural numbers with many divisors
In number theory, a superior highly composite number is a natural number which, in a particular rigorous sense, has many divisors. Particularly, it is
Superior highly composite number
Superior_highly_composite_number
Integer named after Reo Fortune
(Fortune's conjecture) More unsolved problems in mathematics In number theory, a Fortunate number, named after Reo Fortune, is the smallest integer m > 1 such
Fortunate_number
Type of composite integer
In number theory, a Smith number is a composite number for which, in a given number base, the sum of its digits is equal to the sum of the digits in its
Smith_number
Type of Poulet number
In number theory, a super-Poulet number is a Poulet number, or pseudoprime to base 2, whose every divisor d {\displaystyle d} divides 2 d − 2 {\displaystyle
Super-Poulet_number
Interval based sorting algorithm
Comb sort is a relatively simple sorting algorithm originally designed by Włodzimierz Dobosiewicz and Artur Borowy in 1980, later rediscovered (and given
Comb_sort
Numbers with many divisors
highly composite number is a positive integer that has more divisors than all smaller positive integers. If d(n) denotes the number of divisors of a positive
Highly_composite_number
Type of composite number with an even number of digits
recreational mathematics, a vampire number (or true vampire number) is a composite natural number with an even number of digits, that can be factored into
Vampire_number
Positive integer that is the product of three distinct prime numbers
In number theory, a sphenic number (from Ancient Greek: σφήν, 'wedge') is a positive integer that is the product of three distinct prime numbers. For
Sphenic_number
Number that is the result of operation on its own digits
A Friedman number is an integer, which represented in a given numeral system, is the result of a non-trivial expression using all its own digits in combination
Friedman_number
Ten raised to an integer power
the number ten; in other words, ten multiplied by itself a certain number of times (when the power is a positive integer). By definition, the number one
Power_of_10
A knowledge elicitation research method
Card sorting is a knowledge elicitation technique that involves participants sorting items according to some given criteria. This is done to determine
Card_sorting
Number whose divisors summed twice over equal twice itself
In number theory, a superperfect number is a positive integer n that satisfies σ 2 ( n ) = σ ( σ ( n ) ) = 2 n , {\displaystyle \sigma ^{2}(n)=\sigma (\sigma
Superperfect_number
Two raised to an integer power
A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with the number two as the base and integer n as
Power_of_two
Sorting algorithms which exploit existing order in its input
disorder – and sorts faster. Adaptive sorting is usually performed by modifying existing sorting algorithms. Comparison-based sorting algorithms have
Adaptive_sort
Number that has a perfect number of factors adding up to another perfect number
In number theory, a sublime number is a positive integer which has a perfect number of positive factors (including itself), and whose positive factors
Sublime_number
Numbers k where x - phi(x) = k has many solutions
In number theory, a branch of mathematics, a highly cototient number is a positive integer k {\displaystyle k} which is above 1 and has more solutions
Highly_cototient_number
Efficient sorting algorithm that combines insert and merge operations
Block sort, or block merge sort, is a sorting algorithm combining at least two merge operations with an insertion sort to arrive at O(n log n) (see Big
Block_sort
Odd number with specific properties
In number theory, a Sierpiński number is an odd natural number k such that k × 2 n + 1 {\displaystyle k\times 2^{n}+1} is composite for all natural numbers
Sierpiński_number
Integer having only small prime factors
In number theory, an n-smooth (or n-friable) number is an integer whose prime factors are all less than or equal to n. For example, a 7-smooth number is
Smooth_number
Sorting algorithm
the original. Knuth, Donald E. (1973). "Sorting by Exchanging". Art of Computer Programming. Vol. 3. Sorting and Searching (1st ed.). Addison-Wesley.
Cocktail_shaker_sort
Concept in combinatorics
In mathematics, the cake number, denoted by Cn, is the maximum of the number of regions into which a 3-dimensional cube can be partitioned by exactly
Cake_number
Number with a half-integer abundancy index
In number theory, a hemiperfect number is a positive integer with a half-integer abundancy index. In other words, σ(n)/n = k/2 for an odd integer k, where
Hemiperfect_number
Number of unique ways to draw non-intersecting chords in a circle
In mathematics, the nth Motzkin number is the number of different ways of drawing non-intersecting chords between n points on a circle (not necessarily
Motzkin_number
Number that is less than the sum of its proper divisors
In number theory, an abundant number or excessive number is a positive integer for which the sum of its proper divisors is greater than the number. The
Abundant_number
Numeral ambigram
A strobogrammatic number is a number whose numeral is rotationally symmetric, so that it appears the same when rotated by 180 degrees. In other words,
Strobogrammatic_number
Integer whose multiples are digit rotations
A cyclic number is an integer for which cyclic permutations of the digits are successive integer multiples of the number. The most widely known is the
Cyclic_number
Function for sorting in C++ standard library
merge sort for in-place stable sorting and regular merge sort for stable sorting with additional memory. Partial sorting is implemented by partial_sort, which
Sort_(C++)
Product of two prime numbers
In number theory, a semiprime is a natural number that is the product of exactly two prime numbers. The two primes in the product may equal each other
Semiprime
Sorting algorithm
Library sort or gapped insertion sort is a sorting algorithm that uses an insertion sort, but with gaps in the array to accelerate subsequent insertions
Library_sort
Property of a number
In mathematics, the persistence of a number is the number of times one must apply a given operation to an integer before reaching a fixed point at which
Persistence_of_a_number
Number equal to the sum of all or some of its divisors
In number theory, a semiperfect number or pseudoperfect number is a natural number n equal to the sum of all or some of its proper divisors. A semiperfect
Semiperfect_number
Type of positive integer
In number theory, a positive integer k is said to be an Erdős–Woods number if it has the following property: there exists a positive integer a such that
Erdős–Woods_number
Hybrid sorting algorithm
Introsort or introspective sort is a hybrid sorting algorithm that provides both fast average performance and (asymptotically) optimal worst-case performance
Introsort
Number that is more than the sum of its proper divisors
In number theory, a deficient number or defective number is a positive integer n for which the sum of divisors of n is less than 2n. Equivalently, it
Deficient_number
Class of binary number
In number theory, an evil number is a non-negative integer that has an even number of 1s in its binary expansion. These numbers give the positions of
Evil_number
Number that has more digits than the number of digits in its prime factorization
In number theory, a frugal number is a natural number in a given number base that has more digits than the number of digits in its prime factorization
Frugal_number
Numbers parameterizing ways to partition a set
particularly in combinatorics, a Stirling number of the second kind (or Stirling partition number) is the number of ways to partition a set of n objects
Stirling numbers of the second kind
Stirling_numbers_of_the_second_kind
Polyhedral number representing a tetrahedron
A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedron
Tetrahedral_number
Integer where the average of its positive divisors is also an integer
In number theory, an arithmetic number is an integer for which the average of its positive divisors is also an integer. For instance, 6 is an arithmetic
Arithmetic_number
Numbers in a type of Lucas sequence
starts with 0 and 1, then each following number is found by adding the number before it to twice the number before that. The first Jacobsthal numbers
Jacobsthal_number
Type of comparison sorting algorithm
In computer science, merge-insertion sort or the Ford–Johnson algorithm is a comparison sorting algorithm published in 1959 by L. R. Ford Jr. and Selmer
Merge-insertion_sort
Standard UNIX utility
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
Sort_(Unix)
be sorted manually or using mail sorting machines. To improve mechanised sorting, each address now has a sorting number which is printed on the letter as
Postcodes_in_Australia
Composite number with special property
In number theory, an n-Knödel number for a given positive integer n is a composite number m with the property that each i < m coprime to m satisfies i
Knödel_number
Type of natural number in recreational number theory
In recreational number theory, a primeval number is a natural number n for which the number of prime numbers which can be obtained by permuting some or
Primeval_number
Type of figurate number constructed by combining heptagons
mathematics, a heptagonal number is a figurate number that is constructed by combining heptagons with ascending size. The n-th heptagonal number is given by the
Heptagonal_number
Numbers with special prime factorization
An Achilles number is a number that is powerful but not a perfect power. A positive integer n is a powerful number if, for every prime factor p of n, p2
Achilles_number
Combinatorial sequence of numbers
Dedekind number M ( n ) {\displaystyle M(n)} is the number of monotone Boolean functions of n {\displaystyle n} variables. Equivalently, it is the number of
Dedekind_number
Number in the 5th cell of any row of Pascal's triangle
In number theory, a pentatope number (or hypertetrahedral number or triangulo-triangular number) is a number in the fifth cell of any row of Pascal's
Pentatope_number
Iterative algorithm on numbers
{\displaystyle b} . This is the first number of the sequence. Create a new number α {\displaystyle \alpha } by sorting the digits of n {\displaystyle n} in
Kaprekar's_routine
Concept in number theory
In number theory, a narcissistic number (also known as a pluperfect digital invariant (PPDI), an Armstrong number (after Michael F. Armstrong) or a plus
Narcissistic_number
Composite number in number theory
In number theory, a Carmichael number is a composite number n {\displaystyle n} which in modular arithmetic satisfies the congruence relation: b n
Carmichael_number
Number n where the highest prime factor of (n^2 + 1) is at least 2n
In mathematics, a Størmer number or arc-cotangent irreducible number is a positive integer n {\displaystyle n} for which the greatest prime factor of n
Størmer_number
Number, non-palindrome after repeated sum with reverse
numbers exist? More unsolved problems in mathematics A Lychrel number is a natural number that cannot form a palindrome through the iterative process of
Lychrel_number
Class of natural numbers
In mathematics, a superabundant number is a kind of natural number. A natural number n is called superabundant precisely when, for all m < n: σ ( m ) m
Superabundant_number
Number of form 2^(2^p-1)-1 with prime exponent
In mathematics, a double Mersenne number is a Mersenne number of the form M M p = 2 2 p − 1 − 1 {\displaystyle M_{M_{p}}=2^{2^{p}-1}-1} where p {\displaystyle
Double_Mersenne_number
Area of a right triangle with rational-numbered sides
In number theory, a congruent number is a positive integer that is the area of a right triangle with three rational number sides. A more general definition
Congruent_number
SORTING NUMBER
SORTING NUMBER
Surname or Lastname
English
English : variant of Sartain.French : topographic name from a diminutive of sart, a reduced form of Old French essart ‘newly cleared and cultivated land’.Italian (Venetian) : variant of Sartini.
Boy/Male
Latin
Strong; fortunate.
Boy/Male
German
Renowned Warrior's Son
Surname or Lastname
English
English : ethnic name from Old French Lohereng ‘man from Lorraine’ (see Lorraine).
Boy/Male
Norse
Son of Runolf Ulfsson.
Male
Romanian
Romanian name derived from the word soare, SORIN means "sun."
Female
English
English name derived from the season name, "spring," (Mar. 21 thru Jun. 21), derived from the verb spring, "to burst forth," from Proto-Indo-European *sprengh-, SPRING means "rapid movement."Â
Surname or Lastname
English
English : habitational name from places in Oxfordshire and West Sussex named Goring, from Old English GÄringas ‘people of GÄra’, a short form of the various compound names with the first element gÄr ‘spear’.German (Göring) : see Goering.
Surname or Lastname
English (Somerset)
English (Somerset) : unexplained.
Girl/Female
Muslim
Clean, Neat, Free from dirt
Female
Romanian
Feminine form of Romanian Sorin, SORINA means "sun."
Surname or Lastname
English
English : habitational name from (East, South, and, formerly, West) Harting in West Sussex, named with an unattested Old English byname Heort ‘hart’ + -ingas, a suffix denoting ‘family, dependants, or followers’.North German (also Härting) : patronymic from Hart or Hardt 2.German : habitational name from any of several places so named in Bavaria or from Hartingen, near Diepholz, Lower Saxony.
Girl/Female
Arabic, Muslim
Clean; Neat; Free from Dirt
Surname or Lastname
English
English : habitational name from either of two places called Worthing, in Sussex and Norfolk. The Norfolk place name is probably from Old English worðign ‘the enclosure’, while the Sussex one is derived from an unattested Old English personal name, Weorð, (from Old English weorð ‘worthy’) + -ingas ‘people of’.
Girl/Female
American, Australian, Bengali, British, Christian, English, Indian
Springtime; Spring Season; Rapid Movement
Girl/Female
Muslim/Islamic
Clean neat, free from dirt
Surname or Lastname
English (mainly Lancashire and Cheshire)
English (mainly Lancashire and Cheshire) : unexplained.Probably an altered form of German Dornig, which is probably a nickname for someone with a sharp tongue, from an adjectival derivative of Middle High German, Middle Low German dorn ‘thorn’. The suffixes -ig and -ing were often interchanged in Pennsylvania German and elsewhere. The name may also refer to a sloe bush.
Surname or Lastname
English
English : of uncertain origin. Early examples, as for example William Spring (Yorkshire 1280), all point to a personal name or nickname, perhaps going back to an Old English byname derived from the verb springan ‘to jump or leap’ (see Springer 1). Alternatively, it could be a topographic name from Middle English spring ‘young wood’, ‘spring’. Compare Springer. Reaney derives the surname from the word denoting the season, although the word is not attested in this sense until the 16th century, the usual Middle English word being lenten. Compare Lenz. The surname has also been established in Ireland (County Kerry) for several centuries.German : from Middle High German sprinc, Middle Low German sprink ‘spring’, ‘well’, hence a topographic name for someone who lived by a spring or well, or habitational name from Springe near Hannover.Jewish (Ashkenazic) : variant of Springer.John Spring emigrated from England and settled in Watertown, MA, in 1634.
Girl/Female
Indian
Lively, Entertainer, From a stream or a Spring, The Spring season, The Spring season
Surname or Lastname
English
English : patronymic from Bott.
SORTING NUMBER
SORTING NUMBER
Boy/Male
Tamil
Jagadesha | ஜகதேஷா
God, Master of the universe
Girl/Female
Muslim
Full Moon
Boy/Male
Hindu, Indian
Number
Boy/Male
Indian
Portion
Boy/Male
Indian
Evening time, Real, Pure
Biblical
Same as Kishi
Girl/Female
Tamil
Prishanka | பà¯à®°à¯€à®·à®‚கா
Boy/Male
Biblical
The strength of the Lord.
Girl/Female
Australian, Hebrew
Rose
Boy/Male
Tamil
Sphatikabha | ஸà¯à®ªà®¾à®¤à¯€à®•à®¾à®ªà®¾Â
Crystal clear
SORTING NUMBER
SORTING NUMBER
SORTING NUMBER
SORTING NUMBER
SORTING NUMBER
n.
Mortling.
v.
Given when departing; as, a parting shot; a parting salute.
p. pr. & vb. n.
of Sort
n.
A forming into tables; a setting down in order.
n.
An animal, as a sheep, dead of disease or privation; a mortling.
a.
Of or pertaining to shooting; for shooting; darting.
n.
The act of parting or dividing; the state of being parted; division; separation.
a.
Of pertaining to, or engaging in, sport or sporrts; exhibiting the character or conduct of one who, or that which, sports.
n.
A sensation of darting pain; as, a shooting in one's head.
n.
The act of putting a foot to anything; also, that which is added as a foot; as, the footing of a stocking.
p. pr. & vb. n.
of Sport
n.
A coat or covering; a layer of any substance, as a cover or protection; as, the coating of a retort or vial.
n.
The act of placing in a pot; as, the potting of plants; the potting of meats for preservation.
n.
A sifting, as of flour or meal.
a.
Pertaining to the first part or early part of the day; being in the early part of the day; as, morning dew; morning light; morning service.
n.
The morning of yesterday.
n.
A darting away; a starting off or aside.
v.
Serving to part; dividing; separating.
n.
Wool plucked from a dead sheep; morling.
v. t.
To separate, as if by sifting or bolting; -- with out.