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Approach to software development
Programming by permutation, sometimes called "programming by accident" or "shotgunning", is an approach to software development wherein a programming
Programming_by_permutation
Mathematical version of an order change
In mathematics, a permutation of a set can mean one of two different things: an arrangement of its members in a sequence or linear order, or the act or
Permutation
Algorithm for shuffling a finite sequence
sequence by randomly drawing an element from the list until no elements remain. The algorithm produces an unbiased permutation: every permutation is equally
Fisher–Yates_shuffle
Subpermutation of a longer permutation
theoretical computer science, a (classical) permutation pattern is a sub-permutation of a longer permutation. Any permutation may be written in one-line notation
Permutation_pattern
Type of (mathematical) permutation with no fixed element
cyclic permutation is a permutation consisting of a single cycle. In some cases, cyclic permutations are referred to as cycles; if a cyclic permutation has
Cyclic_permutation
(NIH) syndrome Premature optimization Programming by permutation (or "programming by accident", or "programming by coincidence") Reinventing the square
List of software anti-patterns
List_of_software_anti-patterns
computer science, a stack-sortable permutation (also called a tree permutation) is a permutation whose elements may be sorted by an algorithm whose internal
Stack-sortable_permutation
Class of error correction codes
Permutation codes are a family of error correction codes that were introduced first by Slepian in 1965. and have been widely studied both in Combinatorics
Permutation_code
Sorting algorithm
as permutation sort and stupid sort) is a sorting algorithm based on the generate and test paradigm. The function successively generates permutations of
Bogosort
Statistical test
Permutational multivariate analysis of variance (PERMANOVA), is a non-parametric multivariate statistical permutation test. PERMANOVA is used to compare
Permutational analysis of variance
Permutational_analysis_of_variance
1994 science fiction novel by Greg Egan
Permutation City is a 1994 science-fiction novel by Greg Egan that explores many concepts, including quantum ontology, through various philosophical aspects
Permutation_City
Problem optimization method
between combinatorics of permutations and algorithms and geometry Stuart Dreyfus. "Richard Bellman on the birth of Dynamical Programming". Nocedal, J.; Wright
Dynamic_programming
Permutation that reverses binary numbers
bit-reversal permutation is a permutation of a sequence of n {\displaystyle n} items, where n = 2 k {\displaystyle n=2^{k}} is a power of two. It is defined by indexing
Bit-reversal_permutation
Mathematics problem
of the permutation. Every permutation can be decomposed into disjoint cycles, that is, cycles which have no common elements. The permutation of the first
100_prisoners_problem
Arrangement of amino acid sequence
A circular permutation is a relationship between proteins whereby the proteins have a changed order of amino acids in their peptide sequence. The result
Circular permutation in proteins
Circular_permutation_in_proteins
In the study of permutation patterns, there has been considerable interest in enumerating specific permutation classes, especially those with relatively
Enumerations of specific permutation classes
Enumerations_of_specific_permutation_classes
Method to solve optimization problems
and objective are represented by linear relationships. Linear programming is a special case of mathematical programming (also known as mathematical optimization)
Linear_programming
Pair of positions in a sequence where two elements are out of sorted order
that are out of their natural order. Let π {\displaystyle \pi } be a permutation. There is an inversion of π {\displaystyle \pi } between i {\displaystyle
Inversion (discrete mathematics)
Inversion_(discrete_mathematics)
Type of programming language
A concatenative programming language is a point-free computer programming language in which all expressions denote functions, and the juxtaposition of
Concatenative programming language
Concatenative_programming_language
Sequence of integers
mathematics, a Langford pairing, also called a Langford sequence, is a permutation of the sequence of 2n numbers 1, 1, 2, 2, ..., n, n in which the two
Langford_pairing
American mathematician (1914–2005)
algorithm, an algorithm for solving linear programming problems, and for his other work with linear programming. In statistics, Dantzig solved two open problems
George_Dantzig
1999 studio album by Bill Laswell
engineering, programming Brenholts, Jim. "Permutation". Allmusic. Retrieved October 19, 2014. Sirota, Brent S. (March 31, 2000). "Bill Laswell: Permutation". Pitchfork
Permutation (Bill Laswell album)
Permutation_(Bill_Laswell_album)
Statistical programming language
just one. R (programming language), derivative language based on S programming language that is partially backward compatible with S programs Chambers, John
S_(programming_language)
Algorithms to complete a sudoku
Conference on Principles and Practice of Constraint Programming Multiple Authors. "Java Constraint Programming solver" (Java). JaCoP. Krzysztof Kuchcinski &
Sudoku_solving_algorithms
Combinatorial algorithm
generates all of the permutations of n {\displaystyle n} elements. Each two adjacent permutations in the resulting sequence differ by swapping two adjacent
Steinhaus–Johnson–Trotter algorithm
Steinhaus–Johnson–Trotter_algorithm
1998 esoteric programming language
Malbolge (/mælˈboʊldʒ/) is a public-domain esoteric programming language invented by Ben Olmstead in 1998, named after the eighth circle of hell in Dante's
Malbolge
Numeral system in combinatorics
to numbering permutations. It is also called factorial base, although factorials do not function as base, but as place value of digits. By converting a
Factorial_number_system
American inventor (1927–2002)
Herbert Marvin Ohlman (1927–2002) is the inventor of permutation indexing, or Permuterm and is one of the pioneers of Information Science and Technology
Herbert_Marvin_Ohlman
Scheme for numbering permutations
way to encode each possible permutation of a sequence of n numbers. It is an instance of a scheme for numbering permutations and is an example of an inversion
Lehmer_code
Graph with tight clique-coloring relation
closely connected to the theory of linear programming and integer programming. Both linear programs and integer programs are expressed in canonical form as seeking
Perfect_graph
Programming language
Curry is a declarative programming language, an implementation of the functional logic programming paradigm, and based on the Haskell language. It merges
Curry_(programming_language)
Function types qufunct - Pseudo-classic operators. Can only change the permutation of basis states. operator - General unitary operators. Can change the
Quantum_Computation_Language
8th episode of the 5th season of The Big Bang Theory
"The Isolation Permutation" is the eighth episode of the fifth season of the American sitcom The Big Bang Theory and the 95th episode of the show overall
The_Isolation_Permutation
Concept in mathematics
sense that taking A to be a permutation matrix, the pair (P,Q) will be the pair of standard tableaux associated to the permutation under the Robinson–Schensted
Robinson–Schensted–Knuth correspondence
Robinson–Schensted–Knuth_correspondence
American game designer and programmer
frustrated with C++, the programming language Thekla used to create the game. He began designing and creating a new programming language. Full-time work
Jonathan_Blow
Nonparametric test
0.CO;2-U. Neubert, K.; Brunner, E. (2007). "A studentized permutation test for the non-parametric Behrens-Fisher problem". Computational Statistics
Brunner_Munzel_Test
Polyhedron whose vertices represent permutations
Its vertex coordinates (labels) are the permutations of the first n natural numbers. Two permutations connected by an edge differ in only two places (one
Permutohedron
Topics referred to by the same term
free dictionary. Block or blocked may refer to: Block programming, the result of a programming strategy in broadcasting W242BX, a radio station licensed
Block
Genetic operation used to add population diversity
be more probable than large ones, is only inadequately fulfilled by the two permutation mutations presented, since the lengths of the partial lists and
Mutation (evolutionary algorithm)
Mutation_(evolutionary_algorithm)
Books about algorithms by Donald Knuth
Computer Programming (TAOCP) is a comprehensive multi-volume monograph (Volumes 1–7) written by the computer scientist Donald Knuth presenting programming algorithms
The Art of Computer Programming
The_Art_of_Computer_Programming
Type of matrix factorization
multiplication and matrix decomposition). The product sometimes includes a permutation matrix as well. LU decomposition can be viewed as the matrix form of
LU_decomposition
Combinatorial problem
of repeated elements by a single copy of that element.[citation needed] If x {\displaystyle \mathbf {x} } is a random permutation of the integers 1 , 2
Longest alternating subsequence
Longest_alternating_subsequence
Statistical test of whether two populations have equal means
smaller samples, where one could possibly perform Welch's t-test. A permutation and bootstrapped version of the Welch t-test has also been developed
Welch's_t-test
routing problem might be identical. For a valid routing plan, every permutation of such identical vehicles yields another valid routing plan with the
Symmetry-breaking_constraints
Generalization of a magic square
n-1)] : component permutation ^[perm(0..n-1)] : coordinate permutation (n == 2: transpose) _2axis[perm(0..m-1)] : monagonal permutation (axis ε [0..n-1])
Magic_hypercube
Method of encryption
In cryptography, a transposition cipher (also known as a permutation cipher) is a method of encryption which scrambles the positions of characters (transposition)
Transposition_cipher
9th episode of the 9th season of The Big Bang Theory
"The Platonic Permutation" is the ninth episode of the ninth season of The Big Bang Theory. The 192nd episode overall, it first aired on CBS on November
The_Platonic_Permutation
Product of numbers from 1 to n
mixed orders by subtracting two from the usual product formula for the factorial. The product rule for permutations was also described by 6th-century CE
Factorial
Mathematical counting-out question
computer science and mathematics, the Josephus problem (or Josephus permutation) is a theoretical problem related to a certain counting-out game. Such
Josephus_problem
Problem in computer science
for a non-square (rectangular) matrix, where it involves a complex permutation of the data elements, with many cycles of length greater than 2. In contrast
In-place_matrix_transposition
Computer science problem
\log n).} The largest clique in a permutation graph corresponds to the longest decreasing subsequence of the permutation that defines the graph (assuming
Longest increasing subsequence
Longest_increasing_subsequence
Mathematical computing environment
symbolic and numeric computing environment as well as a multi-paradigm programming language. It covers several areas of technical computing, such as symbolic
Maple_(software)
Family of statistical methods based on sampling of available data
are: Permutation tests (also re-randomization tests) for generating counterfactual samples Bootstrapping Cross validation Jackknife Permutation tests
Resampling_(statistics)
Field of machine learning
reinforcement learning algorithms use dynamic programming techniques. The main difference between classical dynamic programming methods and reinforcement learning
Reinforcement_learning
Study of mathematical algorithms for optimization problems
known as a discrete optimization, in which an object such as an integer, permutation or graph must be found from a countable set. A problem with continuous
Mathematical_optimization
Operator used to vary the programming of chromosomes from one generation to the next
combinatorial tasks, permutations are usually used that are specifically designed for genomes that are themselves permutations of a set. The underlying
Crossover (evolutionary algorithm)
Crossover_(evolutionary_algorithm)
Computer algebra system
Finite groups can be defined as groups of permutations and it is also possible to define finitely presented groups by specifying generators and relations.
GAP_(computer_algebra_system)
American mathematician (born 1969)
in a summer research program with Joseph Gallian at the University of Minnesota Duluth, which began her interest in permutation patterns. Next, she went
Zvezdelina_Stankova
Bijective correspondence in mathematics
Robinson–Schensted correspondence is a bijective correspondence between permutations and pairs of standard Young tableaux of the same shape. It has various
Robinson–Schensted correspondence
Robinson–Schensted_correspondence
Type of square matrix
successively reduce the number of non-zero cells in X by removing scalar multiples of permutation matrices until we arrive at the zero matrix, at which
Doubly_stochastic_matrix
field of genetic programming. For combinatorial problems, however, these and other operators tailored to permutations are frequently used by other EAs. Mutation
Genetic_operator
Cycle through all length-k sequences
in w by drawing a line. Number the columns as shown so we can read the cycles of the permutation: Starting from the left, the Standard Permutation notation
De_Bruijn_sequence
Algorithm that arranges lists in order
previous element, according to the required order). The output is a permutation (a reordering, yet retaining all of the original elements) of the input
Sorting_algorithm
Number of ways to pair up n objects
(the Hosoya index) of a complete graph on n vertices, the number of permutations on n elements that are involutions, the sum of absolute values of coefficients
Telephone number (mathematics)
Telephone_number_(mathematics)
Address collision resolution scheme
addressing scheme in computer programming for resolving hash collisions in hash tables. Quadratic probing operates by taking the original hash index
Quadratic_probing
3D combination puzzle
last layer corner permutation algorithm), and finally the last three corners. The fastest move optimal online Rubik's Cube solver program uses Michael Feather's
Rubik's_Cube
Matrix in linear algebra
transpose. Specifically, the commutation matrix K(m,n) is the nm × mn permutation matrix which, for any m × n matrix A, transforms vec(A) into vec(AT):
Commutation_matrix
Stream cipher
two parts: A permutation of all 256 possible bytes (denoted "S" below). Two 8-bit index-pointers (denoted "i" and "j"). The permutation is initialized
RC4
Mathematical concept and applications in software development
special kind of cyclic permutation, which in turn is a special kind of permutation. Formally, a circular shift is a permutation σ of the n entries in the
Circular_shift
In mathematics, invariant of square matrices
a_{n}|.} Yet more generally, any permutation of the columns multiplies the determinant by the sign of the permutation. If some column can be expressed
Determinant
American computer scientist and mathematician (born 1938)
Knuth created the WEB and CWEB computer programming systems designed to encourage and facilitate literate programming, and designed the MIX/MMIX instruction
Donald_Knuth
Polytope
polytope are the permutation matrices, and therefore that any doubly stochastic matrix may be represented as a convex combination of permutation matrices; this
Birkhoff_polytope
Probabilistic problem-solving algorithm
approximate randomization and permutation tests. An approximate randomization test is based on a specified subset of all permutations (which entails potentially
Monte_Carlo_method
Polynomial sequence
of permutations of the numbers 1 to n {\textstyle n} in which exactly k {\textstyle k} elements are greater than the previous element (permutations with
Eulerian_number
Algorithm for public-key cryptography
weaknesses. They tried many approaches, including "knapsack-based" and "permutation polynomials". For a time, they thought what they wanted to achieve was
RSA_cryptosystem
Endless sequence of integers
a n − a n − 1 | = n {\displaystyle |a_{n}-a_{n-1}|=n} This is not a permutation of the integers: the first repeated term is 42 = a 24 = a 20 {\displaystyle
Recamán's_sequence
Decryption of World War II cipher
December 1932 it was broken by mathematician Marian Rejewski at the Polish General Staff's Cipher Bureau, using mathematical permutation group theory combined
Cryptanalysis_of_the_Enigma
4×4×4 Rubik's cube variation
colours. An odd permutation of the corners implies an odd permutation of the centres and vice versa; however, even and odd permutations of the centres
Rubik's_Revenge
Puzzle
An overall permutation that results in no change of state is referred to as an Identity Permutation. A program that allows permutation cycle length
Rubik's family cubes of varying sizes
Rubik's_family_cubes_of_varying_sizes
Count of permutations by cycles
kind arise in the study of permutations. In particular, the unsigned Stirling numbers of the first kind count permutations according to their number of
Stirling numbers of the first kind
Stirling_numbers_of_the_first_kind
Open-source software library developed by Yandex
developed by Yandex. It provides a gradient boosting framework which, among other features, attempts to solve for categorical features using a permutation-driven
CatBoost
Unit of information
is primarily compelled by data over all other factors.[citation needed] Data-driven applications include data-driven programming and data-driven journalism
Data
DC Studios film by James Gunn
character like this, who's perceived as old-fashioned by many? There have been so many different permutations of the character throughout the years, so how could
Superman_(2025_film)
American singer and actor (1935–1977)
recordings reworked pop and country songs, but in markedly different permutations. His stylistic range now began to embrace a more contemporary rock sound
Elvis_Presley
Probability of shared birthdays
two events are related by the equation P(B) = 1 − P(A). The probability P(A) can be computed using the perspective of permutations, as follows. Let V n
Birthday_problem
History of a branch of mathematics
theory of permutation groups such as the order of an element of a group, conjugacy, and the cycle decomposition of elements of permutation groups. Ruffini
History_of_group_theory
Type of sorting algorithm that works by comparing pairs of elements
gain enough information from the comparisons to identify the correct permutation. If the algorithm always completes after at most f ( n ) {\displaystyle
Comparison_sort
Annual entrance test held in India
computer-based entrance examination in India for admission to undergraduate programs offered by the seven Indian Institutes of Science Education and Research (IISERs)
IISER_Aptitude_Test
Open problem on 3x+1 and x/2 functions
Any cyclic permutation of (1 0 1 1 0 0 1) is associated to one of the above fractions. For instance, the cycle (0 1 1 0 0 1 1) is produced by the fraction
Collatz_conjecture
Divide and conquer sorting algorithm
{\displaystyle (x_{1},x_{2},\ldots ,x_{n})} form a random permutation. Consider a BST created by the insertion of a sequence ( x 1 , x 2 , … , x n ) {\displaystyle
Quicksort
Algorithm for modelling sequential data
less important tokens to be diminished. Because self-attention alone is permutation-invariant, transformers inject positional information, typically through
Transformer_(deep_learning)
Number property of being positive or negative
mathematical or scientific objects, such as odd and even (sign of a permutation), sense of orientation or rotation (cw/ccw), one sided limits, and other
Sign_(mathematics)
Problem of finding the longest simple path for a given graph
O(n^{4})} -time algorithm is known, which uses a dynamic programming approach. This dynamic programming approach has been exploited to obtain polynomial-time
Longest_path_problem
Universal reversible logic gate, applied in quantum computing
version where the bits are replaced by qubits. The truth table and permutation matrix are as follows (the permutation can be written (7,8) in cycle notation):
Toffoli_gate
Array representation in computer memory
structure) Comparison of programming languages (array) Index origin, another difference between array types across programming languages Matrix representation
Row-_and_column-major_order
Problem of finding the best feasible solution
known as a discrete optimization, in which an object such as an integer, permutation or graph must be found from a countable set. A problem with continuous
Optimization_problem
Book on philosophy of mathematics
book published in 1986 by Springer-Verlag, is a survey of the whole of mathematics, including its origins and deep structure, by the American mathematician
Mathematics, Form and Function
Mathematics,_Form_and_Function
Rearrangement of letters in a word or phrase
of n) different permutations and so n! − 1 different anagrams of the word. Anagram dictionaries can also be used. Computer programs, known as "anagram
Anagram
British racing driver (born 1998)
30-21". Formula Scout. Retrieved 18 December 2024. "Race Three Title Permutations". BRDC Formula 4 Championship. British Racing Drivers' Club. 26 October
George Russell (racing driver)
George_Russell_(racing_driver)
Conditional independence of exchangeable observations
exchangeable if the joint distribution of the sequence is unchanged by any permutation of a finite set of indices. In general, while the variables of the
De_Finetti's_theorem
PROGRAMMING BY-PERMUTATION
PROGRAMMING BY-PERMUTATION
Girl/Female
Gujarati, Hindu, Indian, Kannada, Tamil
Trick; Power; Strategy; Solution by Logic; By Reasoning
Girl/Female
Tamil
Chethasaa | சேதாஸா
By consciousness
Chethasaa | சேதாஸா
Boy/Male
American, British, English
Dwells by the Path by the Brook
Boy/Male
English
Lives by the path by the brook.
Girl/Female
Tamil
Dhanapriya | தநாபà¯à®°à®¿à®¯à®¾
Loved by wealth
Dhanapriya | தநாபà¯à®°à®¿à®¯à®¾
Boy/Male
Tamil
Omdutt | ஓமà¯à®¤à¯à®¤à¯à®¤Â
Given by God
Omdutt | ஓமà¯à®¤à¯à®¤à¯à®¤Â
Boy/Male
Hindu, Indian
Blessed by God; Forgiven by God
Girl/Female
Tamil
Hridhya | ஹà¯à®°à¯€à®¤à¯à®¯à®¾
By heart
Hridhya | ஹà¯à®°à¯€à®¤à¯à®¯à®¾
Girl/Female
Indian, Punjabi, Sikh
By Thinking
Boy/Male
Australian, British, Christian, English, Norse
Farm by a Ditch; Town by the Ditch
Girl/Female
Tamil
Dhana Priya | தநாபà¯à®°à®¿à®¯à®¾
Loved by wealth
Dhana Priya | தநாபà¯à®°à®¿à®¯à®¾
Boy/Male
British, English
Lives by the Path by the Brook
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Modern, Sanskrit, Telugu
Loved by Buddha; Liked by Buddha
Girl/Female
Hindu
Trick, Power, Strategy, Solution by logic, By reasoning
Boy/Male
Tamil
Nirved | நிரà¯à®µà¯‡à®¤
Gift by God
Nirved | நிரà¯à®µà¯‡à®¤
Girl/Female
Indian
By consciousness
Girl/Female
Tamil
Trick, Power, Strategy, Solution by logic, By reasoning
Girl/Female
Tamil
Trick, Power, Strategy, Solution by logic, By reasoning
Boy/Male
Tamil
Munisansutasanstuta | à®®à¯à®¨à¯€à®¸à®‚ஸà¯à®¤à®¾à®¸à®‚ஸà¯à®¤à¯à®¤à®¾
Worshipped by sages
Munisansutasanstuta | à®®à¯à®¨à¯€à®¸à®‚ஸà¯à®¤à®¾à®¸à®‚ஸà¯à®¤à¯à®¤à®¾
Girl/Female
Indian
By heart
PROGRAMMING BY-PERMUTATION
PROGRAMMING BY-PERMUTATION
Male
English
Anglicized form of Babylonian Beltesha'tstsar, BELTESHAZZAR means "Ba'al's prince." In the bible, this is Daniel the prophet's Babylonian name.Â
Boy/Male
Hindu
Girl/Female
Indian
Boy/Male
Muslim
Bounty of Allah
Girl/Female
Indian
Expressive, A young deer
Girl/Female
Indian
Thankful one
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi
Lord Shiva
Girl/Female
German Teutonic Hebrew
noble.
Boy/Male
Tamil
Ocean, King, Rich, Generous
Girl/Female
Muslim
Fruit
PROGRAMMING BY-PERMUTATION
PROGRAMMING BY-PERMUTATION
PROGRAMMING BY-PERMUTATION
PROGRAMMING BY-PERMUTATION
PROGRAMMING BY-PERMUTATION
adv.
Passing near; going past; past; beyond; as, the procession has gone by; a bird flew by.
pref.
With, as means, way, process, etc.; through means of; with aid of; through; through the act or agency of; as, a city is destroyed by fire; profit is made by commerce; to take by force.
pref.
Used in specifying adjacent dimensions; as, a cabin twenty feet by forty.
n.
One who, or that which, stands by one in need; something upon which one relies for constant use or in an emergency.
a.
Past; gone by.
n.
Private end or view; by-interest.
n.
One who stands near; one who is present; a bystander.
n.
A passing without notice; intentional neglect; thrusting away; a shifting off; adieu; as, to give a proposal the go-by.
adv.
Near; in the neighborhood; present; as, there was no person by at the time.
pref.
Near to, while passing; hence, from one to the other side of; past; as, to go by a church.
n.
A law that is less important than a general law or constitutional provision, and subsidiary to it; a rule relating to a matter of detail; as, civic societies often adopt a constitution and by-laws for the government of their members. In this sense the word has probably been influenced by by, meaning secondary or aside.
n.
A by-passage, for a pipe, or other channel, to divert circulation from the usual course.
adv.
Aside; as, to lay by; to put by.
n.
A local or subordinate law; a private law or regulation made by a corporation for its own government.
pref.
On; along; in traversing. Compare 5.
pref.
Against.
pref.
In the neighborhood of; near or next to; not far from; close to; along with; as, come and sit by me.
a.
Out of the common path; aside; -- used in composition, giving the meaning of something aside, secondary, or incidental, or collateral matter, a thing private or avoiding notice; as, by-line, by-place, by-play, by-street. It was formerly more freely used in composition than it is now; as, by-business, by-concernment, by-design, by-interest, etc.
n.
One who goes by; a passer.
n.
An election held by itself, not at the time of a general election.