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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) was a British mathematician and was one of the founders of homotopy theory. He was born
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 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
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
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)
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 Kd
PID_controller
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
Impossible task in computing
posed by David Hilbert and Wilhelm Ackermann in 1928. It asks for an algorithm that considers an input statement and answers "yes" or "no" according
Entscheidungsproblem
Space Odyssey character
in the 1968 film 2001: A Space Odyssey, HAL (Heuristically Programmed Algorithmic Computer) is a sentient general-intelligence computer that controls the
HAL_9000
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
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
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
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
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
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
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
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 plays a key role in artificial intelligence. For example, many AI algorithms use methods relying on optimization, statistics and linear algebra. On
Mathematics and artificial intelligence
Mathematics_and_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
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
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%. The
Data_center
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
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
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
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
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
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
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
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
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)
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
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
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
Operation in graph theory
Hershberger, John; Schäffer, Alejandro A. (1985), "A polynomial time algorithm for finding the prime factors of Cartesian-product graphs", Discrete Applied
Cartesian_product_of_graphs
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
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
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
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
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
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
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)
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
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
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
Array of numbers
product, n multiplications are necessary. The Strassen algorithm outperforms this "naive" algorithm; it needs only n2.807 multiplications. Theoretically
Matrix_(mathematics)
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
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
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
develops Kuṭṭaka, an algorithm very similar to the Extended Euclidean algorithm. 499: Aryabhata describes a numerical algorithm for finding cube roots
Timeline of scientific discoveries
Timeline_of_scientific_discoveries
1991 video 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)
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
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
Mathematical models of strategic interactions
science, systems science, and philosophy. Subfields of game theory include algorithmic game theory, behavioral game theory, combinatorial game theory, evolutionary
Game_theory
Functional gastrointestinal disorder
abdominal pain/discomfort should not be only related to menses. . The algorithm may include additional tests to guard against misdiagnosis of other diseases
Irritable_bowel_syndrome
of theorems and similar statements include: List of algebras List of algorithms List of axioms List of conjectures List of data structures List of derivatives
List_of_theorems
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
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
American mathematician
their populations determined in the U.S. Census[1]. This mathematical algorithm has been used in the U.S. since 1941 and is currently the method used
Edward_Vermilye_Huntington
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 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)
for weighted majority algorithm Hayden White – member of the American Academy of Arts and Sciences (elected 1991) Jim Whitehead – chair of Computer Science
List of University of California, Santa Cruz people
List_of_University_of_California,_Santa_Cruz_people
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
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
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
Disorder affecting learning arithmetic
Based on these findings, Dybuster Calcularis was extended by adaptation algorithms and game forms allowing manipulation by the learners. It was found to
Dyscalculia
Cancer treatment and research institution in Boston, US
Lela; Tahoulas, Danielle (January 22, 2025). "Quantum-computing-enhanced algorithm unveils potential KRAS inhibitors". Nature Biotechnology. 43 (12). Nature
Dana–Farber_Cancer_Institute
Graphical set representation involving overlapping shapes
below—that their use is based on practice and intuition, not on a strict algorithmic practice: “In fact ... those diagrams not only do not fit in with the
Euler_diagram
Digital piano–type sound module
very loud), and then did analysis of the waveform changes. The resulting algorithm of harmonic/velocity sound relationships was put on a VLSI chip. Roland
Roland_MKS-20
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
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
Operation common in numerical signal processing
allows an efficient software implementation of division (see division algorithm) and square root (see methods of computing square roots) operations, thus
Multiply–accumulate_operation
Commutative group (mathematics)
fundamental theorem of finitely generated abelian groups. The existence of algorithms for Smith normal form shows that the fundamental theorem of finitely generated
Abelian_group
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
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
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.
Australian mathematician
ISBN 978-0-521-41325-1. Cameron, Peter J. (1994). Combinatorics : topics, techniques, algorithms. Cambridge: Cambridge University Press. ISBN 0-521-45133-7. OCLC 29910262
Peter_Cameron_(mathematician)
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
American mathematician
Mathematical Association of America. Whitehead Jr., Earl Glen (1976). "Book Review: Combinatorial algorithms". Bulletin of the American Mathematical
Herbert_Wilf
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
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
American author, critic, and academic (born 1942)
lives of working-class men in New York City. Delany received the Bill Whitehead Award for Lifetime Achievement from Publishing Triangle in 1993; he has
Samuel_R._Delany
Oasis region in Central Asia
mathematician (sometimes considered the father of algebra and for whom the term algorithm is named) Muhammad ibn Ahmad al-Khwarizmi, 10th century encyclopedist
Khwarazm
Animals of the phylum Porifera
as Placozoa. However, reanalysis of the data showed that the computer algorithms used for analysis were misled by the presence of specific ctenophore genes
Sponge
Whether a program behaves differently if expressions and their values are interchanged
those positions. This can help in proving correctness, simplifying an algorithm, assisting in modifying code without breaking it, or optimizing code by
Referential_transparency
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
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
Branch of mathematics
and principles with combinatorics. Computational geometry deals with algorithms and their implementations for manipulating geometrical objects. Important
Geometry
American politician (born 1972)
certifying the election of President-elect Joe Biden. According to an algorithm developed by researchers at FiveThirtyEight, although Cline is a member
Ben_Cline
Feature of Active Directory
Name Resolution Archived 2016-03-13 at the Wayback Machine ANR search algorithm How Active Directory Searches Work (ANR strings included) "Harnessing
Ambiguous_name_resolution
Romantic relationships formed on the internet
people of average physical attractiveness. Tyson and his team wrote an algorithm that collected the biographical information of all the matches, liked
Online_dating
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
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
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)
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
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
travel, tourism, insurance
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
WHITEHEADS ALGORITHM
WHITEHEADS ALGORITHM
WHITEHEADS ALGORITHM
WHITEHEADS ALGORITHM
WHITEHEADS ALGORITHM
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