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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
a permutation is a bijective function of a finite set onto itself. When the set is represented as an ordered sequence of its members, a permutation amounts
Permutation
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
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
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
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
(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
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
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
Problem optimization method
Dynamic programming (DP) is both a mathematical optimization method and an algorithmic paradigm. The method was developed by Richard Bellman in the 1950s
Dynamic_programming
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
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
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
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
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
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)
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
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
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
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
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
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
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
Permutation that reverses binary numbers
bit-reversal permutation is a permutation of a sequence of n items, where n=2k is a power of two. It is defined by indexing the elements of the sequence by the
Bit-reversal_permutation
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)
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
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)
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
Polytope 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
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
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
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)
Combinatorial problem
replacing each run of repeated elements by a single copy of that element.[citation needed] If 𝐱 is a random permutation of the integers 1,2,…,n and An≡asn(𝐱)
Longest alternating subsequence
Longest_alternating_subsequence
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
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
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)
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
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
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)
Algorithms to complete a sudoku
Constraint Programming {{cite CiteSeerX}}: Cite uses deprecated parameter |citeseerx= (help) Multiple Authors. "Java Constraint Programming solver" (Java)
Sudoku_solving_algorithms
clarify the concept. event-driven programming A programming paradigm in which the flow of the program is determined by events such as user actions (mouse
Glossary_of_computer_science
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)
Branch of mathematics that studies the properties of groups
group as a permutation group, acting on itself (X = G) by means of the left regular representation. In many cases, the structure of a permutation group can
Group_theory
Free software project
programming languages Couto, Marco; Pereira, Rui; Ribeiro, Francisco; Rua, Rui; Saraiva, João (2017-09-21). "Towards a Green Ranking for Programming Languages"
The Computer Language Benchmarks Game
The_Computer_Language_Benchmarks_Game
Programming language evaluation rules
the execution order to be the sequential execution of an unspecified permutation of the arguments. OCaml similarly leaves the order unspecified, but in
Evaluation_strategy
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
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)
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
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
Type of matrix factorization
division by zero or uncontrolled growth of rounding errors. Hence alternative expression becomes PAQ = LU, where in formal notation permutation matrix factors
LU_decomposition
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
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
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
field of genetic programming. For combinatorial problems, however, these and other operators tailored to permutations are frequently used by other EAs. Mutation
Genetic_operator
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
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
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
Study of mathematical algorithms for optimization problems
Kantorovich in 1939. (Programming in this context does not refer to computer programming, but comes from the use of program by the United States military
Mathematical_optimization
Unsolved problem in computational complexity theory
with unique constraints is given by a finite directed graph, a number k of colors, and a collection of permutations π e : [ k ] → [ k ] {\displaystyle
Unique_games_conjecture
American mathematician
[F] partially ordered sets,[C] and Coxeter groups,[B] and on random permutation statistics[E] and set partition statistics.[D] Wachs earned her doctorate
Michelle_L._Wachs
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)
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
Generalization of a magic square
"axial"-direction. Equal permutation along various axes can be combined by adding the factors 2axis. Thus defining all kinds of r-agonal permutations for any r. Easy
Magic_hypercube
Function types qufunct - Pseudo-classic operators. Can only change the permutation of basis states. operator - General unitary operators. Can change the
Quantum_Computation_Language
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
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
Standard for the encryption of electronic data
Block ciphers AES is based on a design principle known as a substitution–permutation network, and is efficient in both software and hardware. Unlike its predecessor
Advanced_Encryption_Standard
Statistical test comparing two probability distributions
distribution. This permutation p-value can be computed exactly by a recurrence for arbitrary sample sizes. For continuous distributions the permutation statistic
Kolmogorov–Smirnov_test
Machine learning technique
by the rows of V. Attention mechanism without positional encoding is permutation-invariant. For decoder self-attention, all-to-all attention is inappropriate
Attention_(machine_learning)
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
Field of machine learning
reinforcement learning algorithms use dynamic programming techniques. The main difference between classical dynamic programming methods and reinforcement learning
Reinforcement_learning
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
Sporadic simple group
calculate with as they have "small" permutation or linear representations. Alternating groups, such as A100, have permutation representations that are "small"
Monster_group
Theorem classifying finite simple groups
power order. The classification of 2-transitive permutation groups. The classification of rank 3 permutation groups. The Sims conjecture Frobenius's conjecture
Classification of finite simple groups
Classification_of_finite_simple_groups
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
Puzzle
swaps while an odd permutation is one that can be represented by an odd number of swaps. An odd permutation followed by an odd permutation will represent
Rubik's family cubes of varying sizes
Rubik's_family_cubes_of_varying_sizes
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
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
Unit of information
is primarily compelled by data over all other factors.[citation needed] Data-driven applications include data-driven programming, data-driven journalism
Data
Endless sequence of integers
repeats do in fact occur. Since there are repeated terms, this is not a permutation of the integers. The first repeated term is 42 = a 24 = a 20 {\displaystyle
Recamán's_sequence
Revision of the C++ programming language planned for 2029
handling creation/destruction of hazard pointer batches Bit permutation functions, SIMD bit permutation, and bit shifting copy() and fill() algorithms for std::mdspan
C++29
Concept in theoretical computer science
to find new busy beaver examples. Rather than traditional programming languages, the programs used in the game are Turing machines, one of the first mathematical
Busy_beaver
Fast 8-bit hash function
requires only a few instructions, plus a 256-byte lookup table containing a permutation of the values 0 through 255. This hash function is a CBC-MAC that uses
Pearson_hashing
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)
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
4×4×4 Rubik's cube variation
that the permutations resulting from rotating the cube without twisting it are considered identical, the number of permutations is reduced by a factor
Rubik's_Revenge
Topics referred to by the same term
two concepts Primitive function or antiderivative, F′ = f Primitive permutation group Primitive root of unity; See Root of unity Primitive triangle,
Primitive
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
Authenticated encryption mode for block ciphers
is used with a block cipher that is indistinguishable from a random permutation; however, security depends on choosing a unique initialization vector
Galois/Counter_Mode
Type of sorting algorithm that works by comparing pairs of elements
each leaf corresponds to a permutation). The minimum average length of a binary tree with a given number of leaves is achieved by a balanced full binary tree
Comparison_sort
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
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)
Source code that alters its instructions to the hardware while executing
programming Monkey patch: a modification to runtime code that does not affect a program's original source code Extensible programming: a programming paradigm
Self-modifying_code
Array representation in computer memory
layout is critical for correctly passing arrays between programs written in different programming languages. It is also important for performance when traversing
Row-_and_column-major_order
American mathematician (born 1969)
Berkeley Math Circle, and an expert in the combinatorial enumeration of permutations with forbidden patterns. Stankova was born in Ruse, Bulgaria (then the
Zvezdelina_Stankova
Library for numerical analysis in C and C++
numbers Polynomials B-splines Special functions Vectors and matrices Permutations Combinations Multisets Sorting BLAS Linear algebra Eigensystems Fast
GNU_Scientific_Library
Difficulties arising when analyzing data with many aspects ("dimensions")
everyday experience. The expression was coined by Richard E. Bellman when considering problems in dynamic programming. The curse generally refers to issues that
Curse_of_dimensionality
Mathematical problem involving optimal stopping theory
"candidate" in this context corresponds to the concept of record in permutation. The optimal policy for the problem is a stopping rule. Under it, the
Secretary_problem
American TV anthology series (1969–75)
featuring made-for-TV movies that aired on the ABC network in various permutations from 1969 to 1975. In the 1960s, movie studios viewed television as a
ABC_Movie_of_the_Week
Mathematical operation on vectors in 3D space
under a rotation of the basis but is changed into its opposite by an odd permutation of the basis vectors. Therefore, the cross product is a pseudovector
Cross_product
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PROGRAMMING BY-PERMUTATION
PROGRAMMING BY-PERMUTATION
PROGRAMMING BY-PERMUTATION
PROGRAMMING BY-PERMUTATION
PROGRAMMING BY-PERMUTATION
PROGRAMMING BY-PERMUTATION
PROGRAMMING BY-PERMUTATION
PROGRAMMING BY-PERMUTATION
PROGRAMMING BY-PERMUTATION
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