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Whitehead's algorithm is a mathematical algorithm in group theory for solving the automorphic equivalence problem in the finite rank free group Fn. The
Whitehead's_algorithm
British mathematician (1904–1960)
John Henry Constantine Whitehead (11 November 1904 – 8 May 1960), known as "Henry", was a British mathematician and was one of the founders of homotopy
J._H._C._Whitehead
2009. I. Kapovich, P. Schupp, V. Shpilrain, Generic properties of Whiteheads algorithm and isomorphism rigidity of random one-relator groups, Pacific J
Generic-case_complexity
Area in mathematics devoted to the study of finitely generated groups
Kapovich, I.; Schupp, P.; Shpilrain, V. (2006). "Generic properties of Whitehead's algorithm and isomorphism rigidity of random one-relator groups". Pacific
Geometric_group_theory
Yes-or-no question that cannot ever be solved by a computer
construct an algorithm that always leads to a correct yes-or-no answer. The halting problem is an example: it can be proven that there is no algorithm that correctly
Undecidable_problem
American video game designer and programmer
titles. He also developed a "venetian blinds" animation technique: an algorithm that horizontally reused and vertically interlaced sprites several times
Bob_Whitehead
American mathematician (born 1940)
conjecture made by G. Peter Scott.) Gersten, S. M. (1984). "On Whitehead's algorithm". Bulletin of the American Mathematical Society. 10 (2): 281–285
Stephen_M._Gersten
Control loop feedback mechanism
account for time taken by the algorithm itself during the loop, or more importantly, any pre-emption delaying the algorithm. A common issue when using K
PID_controller
Solitaire card game
search was able to solve up to 35% of randomly generated games. Another algorithm has a winning rate of 52% in "turn one" mode, and 18% in "turn three"
Klondike_(solitaire)
Mathematica and Related Systems — Kurt Gödel Algorithms + Data Structures = Programs — Niklaus Wirth Algorithms Unlocked — Thomas H. Cormen The Art of Computer
List_of_mathematics_books
Problem in computer science
1937 that the halting problem is undecidable, meaning that no general algorithm exists that can correctly solve the problem for all possible program–input
Halting_problem
Impossible task in computing
posed by David Hilbert and Wilhelm Ackermann in 1928. It asks for an algorithm that considers an inputted statement and answers "yes" or "no" according
Entscheidungsproblem
Topics referred to by the same term
(space group), three-dimensional space group number 6 Particle mesh, an algorithm for determining forces Perl module, file extension .pm Petametre (Pm)
PM
Fictional character in Arthur C. Clarke's Space Odyssey series
in the 1968 film 2001: A Space Odyssey, HAL (Heuristically Programmed Algorithmic Computer) is a sentient general-intelligence computer that controls the
HAL_9000
Statistical method
Some PLS algorithms are only appropriate for the case where Y is a column vector, while others deal with the general case of a matrix Y. Algorithms also differ
Partial least squares regression
Partial_least_squares_regression
Operation in graph theory
number of irreducible factors. Imrich (1998) gives a polynomial time algorithm for recognizing tensor product graphs and finding a factorization of any
Tensor_product_of_graphs
Video game and media franchise
(1991) originated with a tech demo created by Naka, who had developed an algorithm that allowed a sprite to move smoothly on a curve by determining its position
Sonic_the_Hedgehog
Mathematics notation with operators preceding operands
(1989). Arithmetische Algorithmen der Mikrorechentechnik [Arithmetic algorithms in microcomputers] (in German) (1 ed.). Berlin, Germany: VEB Verlag Technik
Polish_notation
Data mining framework
aims at allowing the development and evaluation of advanced data mining algorithms and their interaction with database index structures. The ELKI framework
ELKI
Determining whether a knot is the unknot
algorithmically recognizing the unknot, given some representation of a knot, e.g., a knot diagram. There are several types of unknotting algorithms.
Unknotting_problem
Logical principle
is in fact irrational (or rational, as the case may be); or a finite algorithm that could determine whether the number is rational. The above proof is
Law_of_excluded_middle
American radio artist, writer and media philosopher
Voices. In this film, a voice from the perspective of an all-embracing algorithm addresses humanity in its final moments, punctuated by a song drawn from
Gregory_Whitehead
Scheduling technique in computer science
computer science, rate-monotonic scheduling (RMS) is a priority assignment algorithm used in real-time operating systems (RTOS) with a static-priority scheduling
Rate-monotonic_scheduling
Mathematical puzzle
problems requiring integer solutions in the 3rd century CE. The Euclidean algorithm for greatest common divisor which underlies the solution of such problems
The_monkey_and_the_coconuts
learning algorithm, where the agent is rewarded only when its predictions show improvement. It significantly outperformed previous algorithms. TD-learning
History of artificial intelligence
History_of_artificial_intelligence
he announced a new unknot recognition algorithm that runs in quasi-polynomial time. Lackenby won the Whitehead Prize of the London Mathematical Society
Marc_Lackenby
Set of mathematical functions concerning algebraic group isomorphism
generating sets of the group. The algorithm is well studied, and survey is given in (Pak 2001). One version of the algorithm, called "shake", is: Take any
Nielsen_transformation
2004 video game
Breeder, a 1986 Famicom algorithm-based simulation combat game by SoftPro ChipWits COMSIGHT, a 1987 PC88, X1, and X68000 algorithm-based simulation combat
Armored_Core:_Formula_Front
Limitative results in mathematical logic
axioms whose theorems can be listed by an effective procedure (i.e. an algorithm) is capable of proving all truths about the arithmetic of natural numbers
Gödel's incompleteness theorems
Gödel's_incompleteness_theorems
Function in algebraic graph theory
Hypergraphs: Theory, Algorithms and Applications., American Mathematical Society, ISBN 978-0-8218-2812-0 Wilf, H. S. (1986), Algorithms and Complexity, Prentice–Hall
Chromatic_polynomial
Parallel computing platform and programming model
more effective than general-purpose central processing unit (CPUs) for algorithms in situations where processing large blocks of data is done in parallel
CUDA
Subfield of automated reasoning and mathematical logic
(now called Presburger arithmetic in his honor) is decidable and gave an algorithm that could determine if a given sentence in the language was true or false
Automated_theorem_proving
2024; Washington & Musgrave 2025; Harmon 2026a Barrón-López et al. 2024; Whitehead & Perry 2025, p. 1; Wendling & Epstein 2025; Ferguson 2025, p. 112; Brooks
Persecution of transgender people under the second Trump administration
Persecution_of_transgender_people_under_the_second_Trump_administration
the 2010s have been unable to figure out how the game's maze-generating algorithm managed to consistently generate playable mazes. The original coder says
List_of_Atari_2600_games
Peruvian mathematician (born 1977)
Helfgott spotted a subtle error in the proof of the quasipolynomial time algorithm for the graph isomorphism problem that was announced by László Babai in
Harald_Helfgott
String used to identify a name of a web or internet resource
[Internationalized Resource Identifier] are just confusing. In practice a single algorithm is used for both so keeping them distinct is not helping anyone. URL also
Uniform_Resource_Identifier
True when either but not both inputs are true
be used to swap two numeric variables in computers, using the XOR swap algorithm; however this is regarded as more of a curiosity and not encouraged in
Exclusive_or
1941, MS 1942 Lloyd R. Welch, PhD 1958; co-inventor of the Baum-Welch algorithm Erik Winfree, PhD 1998; faculty; awarded MacArthur Fellowship W. Hugh
List of California Institute of Technology people
List_of_California_Institute_of_Technology_people
study topological spaces. Algorithmic number theory also known as computational number theory, it is the study of algorithms for performing number theoretic
Glossary of areas of mathematics
Glossary_of_areas_of_mathematics
Problem in finite group theory
word problem for a finitely generated group G {\displaystyle G} is the algorithmic problem of deciding whether two words in the generators represent the
Word_problem_for_groups
Used to count, measure, and label
is that there is no algorithm for testing the equality of two computable numbers. More precisely, there cannot exist any algorithm which takes any computable
Number
Taylor-kehitelmänä [The representation of the cumulative rounding error of an algorithm as a Taylor expansion of the local rounding errors] (PDF) (Thesis) (in
Timeline of artificial intelligence
Timeline_of_artificial_intelligence
Algebraic structure modeling logical operations
two-element Boolean algebra (which can be checked by a trivial brute force algorithm for small numbers of variables). This can for example be used to show
Boolean_algebra_(structure)
a description for a quantum Turing machine, as well as specifying an algorithm designed to run on a quantum computer Paul Dirac (1902–1984): British
List_of_agnostics
major release, GLIM4, in 1993. GLIM was distributed by the Numerical Algorithms Group (NAG). GLIM was notable for being the first package capable of fitting
GLIM_(software)
ISBN 978-0-19-162080-5. A. P. Ershov, Donald Ervin Knuth, ed. (1981). Algorithms in modern mathematics and computer science: proceedings, Urgench, Uzbek
List of pioneers in computer science
List_of_pioneers_in_computer_science
learning. Major advances in this field can result from advances in learning algorithms (such as deep learning), computer hardware, and, less intuitively, the
List of datasets for machine-learning research
List_of_datasets_for_machine-learning_research
results, Staples' lawyer reveals that ChumHum was testing a new censorship algorithm they were creating for China. The firm fails to successfully defend ChumHum
List of The Good Fight episodes
List_of_The_Good_Fight_episodes
Concept in behavioral economics, political theory and behavioral sciences
technology in Algorithmic Regulation. A piece in the Harvard Business Review published in 2021 was one of the first articles to coin the term "Algorithmic Nudging"
Nudge_theory
American member of the British royal family (born 1981)
2021). "Harry and Meghan targeted by hate campaign fueled by Twitter's algorithm, report says". The Independent. Retrieved October 31, 2023.{{cite web}}:
Meghan,_Duchess_of_Sussex
Memorial and museum in New York City
1993 World Trade Center bombing. The names are arranged according to an algorithm, creating "meaningful adjacencies" based on relationships—proximity at
National September 11 Memorial & Museum
National_September_11_Memorial_&_Museum
Formal system of logic
type-theoretic flavor of third-order logic, that is, there can be no algorithm to decide whether an arbitrary equation between second-order (let alone
Higher-order_logic
nonnegative integer appear in Recamán's sequence? Skolem problem: can an algorithm determine if a constant-recursive sequence contains a zero? The values
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Swedish YouTuber (born 1989)
criticism at YouTube's changing algorithm negatively affecting viewership for content creators. The site's algorithm began to focus on watch time statistics
PewDiePie
Dutch-American mathematician
http://www.cah.utexas.edu/collections/math.php Whitehead Jr., Earl Glen (1976). "Book Review: Combinatorial algorithms". Bulletin of the American Mathematical
Albert_Nijenhuis
Functional gastrointestinal disorder
associated with additional stool- or defecation-related criteria. The algorithm may include additional tests to guard against misdiagnosis of other diseases
Irritable_bowel_syndrome
Mathematical theorem
elementary algorithm for computing conformal maps was discovered. Given points z 0 , … , z n {\displaystyle z_{0},\ldots ,z_{n}} in the plane, the algorithm computes
Riemann_mapping_theorem
Array of numbers
product, n multiplications are necessary. The Strassen algorithm outperforms this "naive" algorithm; it needs only n2.807 multiplications. Theoretically
Matrix_(mathematics)
Machine learning model for vision processing
discarded entirely. The input image is split into patches by the same algorithm as in training, but no patches are masked out. A linear projection with
Vision_transformer
American biologist
As a postdoctoral fellow he developed Gene Set Enrichment Analysis, an algorithm that is widely used in genomics and has been implemented into a popular
Vamsi_Mootha
Anderton, Ethan (August 5, 2021). "'He's All That' Trailer: Imagine An Algorithm Trying To Disguise Itself As A High School Rom-Com". /Film. Archived from
List of American films of 2021
List_of_American_films_of_2021
Study of mathematics itself
"effective procedure" (e.g., a computer program, but it could be any sort of algorithm) is capable of proving all truths about the relations of the natural numbers
Metamathematics
Methods in artificial intelligence research
one, not withstanding the occasional fallibility of heuristics: "The A* algorithm provided a general frame for complete and optimal heuristically guided
Symbolic artificial intelligence
Symbolic_artificial_intelligence
Platform game
Sonic's speed caused animation problems. Naka solved this by developing an algorithm which retained fluidity. All that was left was to optimize of the game
Sonic the Hedgehog (1991 video game)
Sonic_the_Hedgehog_(1991_video_game)
1960 article by Eugene Wigner
in describing nature. Albert Einstein and the philosopher Alfred North Whitehead had previously thought that the success of abstract mathematics in physical
The Unreasonable Effectiveness of Mathematics in the Natural Sciences
The_Unreasonable_Effectiveness_of_Mathematics_in_the_Natural_Sciences
Greek mathematician and physicist (c. 287 – 212 BC)
2012. Miel, G (1983). "Of Calculations Past and Present: The Archimedean Algorithm". The American Mathematical Monthly. 90 (1): 17–35. doi:10.1080/00029890
Archimedes
Type of topological space
Cellulation Conjecture (PDF). International Workshop on Combinatorial Algorithms. Davis, James F.; Kirk, Paul (2001). Lecture Notes in Algebraic Topology
CW_complex
Theorem in geometric topology
"1.3.4 Zeeman's Collapsing Conjecture". Algorithmic Topology and Classification of 3-Manifolds. Algorithms and Computation in Mathematics. Vol. 9. Springer
Poincaré_conjecture
Mathematical models of strategic interactions
and information markets. Algorithmic game theory and within it algorithmic mechanism design combine computational algorithm design and analysis of complex
Game_theory
Hypothesis of language influencing thought
theme, arguing that more powerful notations aided thinking about computer algorithms. The essays of Paul Graham explore similar themes, such as a conceptual
Linguistic_relativity
MEP (2004–2014). Martin Davis, 94, American mathematician (Davis–Putnam algorithm). N. C. Debbarma, 80, Indian politician, Tripura MLA (since 2018), stroke
Deaths_in_January_2023
2021 browser game
Archived from the original on 27 July 2021. Retrieved 3 August 2021. Whitehead, Thomas (23 July 2021). "Random: Google's 'Doodle Champion Island Games'
Doodle_Champion_Island_Games
2018 international rescue mission in Thailand
Archived from the original on 15 July 2018. Retrieved 22 July 2024. Whitehead, Joanna (12 July 2018). "Thai caves where schoolboys were trapped to be
Tham_Luang_cave_rescue
"The horse is red"). In other words, a propositional function is like an algorithm. The meaning of "red" in this case is whatever takes the entity "the horse"
Philosophy_of_language
2013 platforming video game
Kingdom is a platform game created by Pwnee Studios. The game uses a set of algorithms developed by Jordan Fisher to create procedurally generated levels that
Cloudberry_Kingdom
American mathematician
Mathematical Association of America. Whitehead Jr., Earl Glen (1976). "Book Review: Combinatorial algorithms". Bulletin of the American Mathematical
Herbert_Wilf
Philosophical view explaining systems in terms of smaller parts
to a problem in order to produce an algorithm which solves the problem using a composition of existing algorithms (encoded as subroutines, or subclasses)
Reductionism
Video game racing series
production, the Liverpudlian studio created new user interfaces and other algorithms that helped speed up the development process in time for the PlayStation
Wipeout_(video_game_series)
Type of uncertainty of meaning where several interpretations are possible
information to make a used word clearer. Lexical ambiguity can be addressed by algorithmic methods that automatically associate the appropriate meaning with a word
Ambiguity
Latin Americans of European or West Asian descent
subsaharian African, those results were using the Bayesian clustering algorithm structure while on the weighted least mean square method was 80% European
White_Latin_Americans
British economist (1883–1946)
Velupillai, K. Vela (2016). "Universal Man: A Review Article" (PDF). Algorithmic Social Sciences Research Unit: Discussion Paper Series. Archived (PDF)
John_Maynard_Keynes
scenarios were uploaded by anonymous accounts and circumvented child safety algorithms. Beginning in late 2017, the existence and proliferation of these videos
List_of_Internet_phenomena
Hypothesis about sapient life and the universe
26..439L. Bostrom, N. (2002), op. cit. Schmidhuber, Juergen (2000). "Algorithmic theories of everything". arXiv:quant-ph/0011122. Jürgen Schmidhuber,
Anthropic_principle
Diagnostic criteria for gastrointestinal disorders
reporting. Provide translations into other languages Creation of diagnostic algorithms for a functional GI disorder diagnosis or other diagnosis To address the
Rome_process
Species of bivalve
Species Act (1996).[citation needed] Using models based on the genetic algorithm for rule-set production (GARP), a group of researchers predicted that
Zebra_mussel
Subfield of mathematics
studies algorithmic unsolvability; a decision problem or function problem is algorithmically unsolvable if there is no possible computable algorithm that
Mathematical_logic
Branch of mathematics
combinatorial topology name is still sometimes used to emphasize an algorithmic approach based on decomposition of spaces. In the algebraic approach
Algebraic_topology
Facility used to house computer servers
underway, with researchers looking to implement energy-efficient scheduling algorithms that could reduce energy consumption by anywhere between 6% and 44%. In
Data_center
1985 video game
sprite recolored, and background tiles are generated via an automatic algorithm. Around July 1985, development time was extended to 3–4 weeks to adjust
Super_Mario_Bros.
function). The maximum cost can be minimized by a greedy algorithm known as Lawler's algorithm. The problem 1| r j {\displaystyle r_{j}} | L max {\displaystyle
Single-machine_scheduling
German polymath and scholar (1777–1855)
before Adrien-Marie Legendre published it. Gauss also introduced the algorithm known as recursive least squares. Gauss led the geodetic survey of the
Carl_Friedrich_Gauss
Aldis Aldrin – Kurt Alder Alexanderson alternator – Ernst Alexanderson Algorithm – Muḥammad ibn Mūsā al-Khwārizmī Anderson shelter – John Anderson, 1st
List of inventions named after people
List_of_inventions_named_after_people
American mathematician (born 1957)
two collaborated to develop a computer algorithm to analyze the maps of genes. In 1986 Lander joined the Whitehead Institute and became an assistant professor
Eric_Lander
American computer scientist and entrepreneur (b. 1961)
topics including machine learning, the future of work, and the impact of algorithms used by search and social media companies. Siegel was born in 1961 and
David Siegel (computer scientist)
David_Siegel_(computer_scientist)
Love focused on feelings
focuses more on gamified appearance-based interactions over actual matching algorithms and profile preparation. The philosopher Plato wrote the first major treatment
Romance
Norwegian mathematician
linked to Steve Smale's question on the existence of iterative convergent algorithms for polynomial root finding answered by Curt McMullen and Peter Doyle
Anders_C._Hansen
In biology, any group of fish that stay together for social reasons
populations of evolving animals. Typically these studies use a genetic algorithm to simulate evolution over many generations in the model. These studies
Shoaling_and_schooling
Gene editing method
altogether different effector protein, modifying the sgRNA, or using an algorithmic approach to identify existing optimal solutions. Specificity is an important
CRISPR_gene_editing
ordinance that would block landlords from deciding rent prices using an algorithm, alleging that the practice is anti-competitive and is driving up rent
2025_in_the_United_States
Orientable surface whose boundary is a knot or link
by Herbert Seifert and relies on what is now called the Seifert algorithm. The algorithm produces a Seifert surface S {\displaystyle S} , given a projection
Seifert_surface
WHITEHEADS ALGORITHM
WHITEHEADS ALGORITHM
Surname or Lastname
English and Scottish
English and Scottish : nickname for someone with fair or prematurely white hair, from Middle English whit ‘white’ + heved ‘head’.Irish (Connacht) : erroneous translation of Ó Ceanndubháin ‘descendant of the little black-headed one’ (see Canavan), as if from Gaelic ceann ‘head’ + bán ‘white’.Translated form of German Weisshaupt (see Weishaupt) or Weisskopf (see Weiskopf).
WHITEHEADS ALGORITHM
WHITEHEADS ALGORITHM
Boy/Male
Hindu, Indian
Cold; Having Snow
Girl/Female
Danish, Hebrew, Hindu, Indian
Land; Auspicious Symbol
Surname or Lastname
English
English : habitational name for someone from Keresley in Warwickshire, probably so named from the Old English personal name Cēnhere + lēah ‘woodland clearing’.
Boy/Male
Hindu, Indian, Marathi
Learned of the Vedas
Surname or Lastname
Irish
Irish : reduced form of McClinton.English : habitational name, either from Glympton in Oxfordshire, named as ‘settlement (Old English tūn) on the Glym river’, a Celtic river name meaning ‘bright stream’, or from Glinton in Cambridgeshire, recorded in 1060 as Clinton (named with an unrecorded Old English element akin to Middle Low German glinde ‘enclosure’, ‘fence’ + Old English tūn).Charles Clinton (born 1690 in Longford, Ireland) organized a group of colonists and founded the settlement of Little Britain, Ulster county, NY, in 1731. His son George Clinton (1739–1812) was governor of NY (1777–95), and they had many prominent descendants.
Boy/Male
American, Australian
Sovereign
Surname or Lastname
English
English : topographic name for someone who lived near a meadow or a patch of arable land (see Layman).Dutch : from a Germanic personal name composed of the elements liut ‘people’, or possibly liub ‘dear’, ‘beloved’ + man ‘man’.Americanized form of German Leimann, Americanized form of Leinemann, habitational name for someone from Leine in Pomerania, or for someone who lived by either of two rivers called Leine, near Hannover and in Saxony.
Boy/Male
Tamil
Maharanth | மஹாரஂத
Pollen inside a flower
Girl/Female
French, German
Spear Ruler
Boy/Male
Australian, Irish
Brown Headed Warrior
WHITEHEADS ALGORITHM
WHITEHEADS ALGORITHM
WHITEHEADS ALGORITHM
WHITEHEADS ALGORITHM
WHITEHEADS ALGORITHM
n.
The art of calculating by nine figures and zero.
n.
The art of calculating with any species of notation; as, the algorithms of fractions, proportions, surds, etc.
n.
Alt. of Algorithm
n.
The blue-winged snow goose.
n.
The surf scoter.