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Concept in universal algebra in mathematics
In the area of mathematics known as universal algebra, a clone is a set C of finitary operations on a set A such that C contains all the projections πkn:
Clone_(algebra)
Topics referred to by the same term
Look up clone or cloné in Wiktionary, the free dictionary. Clone and related terms may refer to any of the following: Clone (cell biology), a group of
Clone
Branch of mathematics that studies algebraic structures
algebra in Wiktionary, the free dictionary. In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures
List of abstract algebra topics
List_of_abstract_algebra_topics
T-algebras. Note that for the case of a morphism 2 → 1, the appropriate algebra A will define a morphism A(2) ≈ A(1) × A(1) → A(1). Clone (algebra) Lawvere
Algebraic_theory
Freely generated algebraic structure over a given signature
In universal algebra and mathematical logic, a term algebra is a freely generated algebraic structure over a given signature. For example, in a signature
Term_algebra
Concept in mathematics
theory, infinitary Lawvere theory, and finite-product theory. Algebraic theory Clone (algebra) Monad (category theory) Lawvere theory at the nLab Hyland
Lawvere_theory
Theory of algebraic structures in general
universal algebra. Mathematics portal Equational logic Graph algebra Term algebra Clone Universal algebraic geometry Simple algebra (universal algebra) Higgins
Universal_algebra
2002 film by George Lucas
Star Wars: Episode II – Attack of the Clones is a 2002 American epic space opera film directed by George Lucas from a screenplay he co-wrote with Jonathan
Star Wars: Episode II – Attack of the Clones
Star_Wars:_Episode_II_–_Attack_of_the_Clones
Lattice in universal algebra
In logic and universal algebra, Post's lattice denotes the lattice of all clones on a two-element set {0, 1}, ordered by inclusion. It is named for Emil
Post's_lattice
Concept in mathematical logic
functionally complete Boolean algebra. Algebra of sets – Identities and relationships involving sets Boolean algebra – Algebraic manipulation of "true" and
Functional_completeness
Puzzle video game
direct clones of Microsoft Minesweeper available online. Minesweeper Q was released in 2011 by the independent developer Spica, and is another clone of the
Minesweeper_(video_game)
Generalization of associativity properties
these operations. Given an operad O {\displaystyle O} , one defines an algebra over O {\displaystyle O} to be a set together with concrete operations
Operad
Japanese video game designer and writer (born 1965)
Shroud for the Nintendo 3DS. In 2016, he created his own company called Algebra Factory, and during this period was asked by Square Enix to create a scenario
Yasumi_Matsuno
Video-sharing platform
Retrieved May 3, 2024. Amadeo, Ron (March 1, 2021). "YouTube's TikTok clone, "YouTube Shorts," is live in the US". Ars Technica. Retrieved May 4, 2021
YouTube
Set of objects whose state must satisfy limits
algebra. It turned out that questions about the complexity of CSPs translate into important universal-algebraic questions about underlying algebras.
Constraint satisfaction problem
Constraint_satisfaction_problem
Hungarian-American mathematician
mathematician whose research concerns clones, the congruence lattice problem, and other topics in universal algebra. She is a professor of mathematics at
Ágnes_Szendrei
notable theorems. Lists of theorems and similar statements include: List of algebras List of algorithms List of axioms List of conjectures List of data structures
List_of_theorems
American artist
credits started with Wonder Woman children's books and the initial Star Wars: Clone Wars comic. Later comic work includes many one-shot and supplementary stories
Ben_Caldwell_(cartoonist)
Series of graphing calculators
TI graphing calculators by their computer algebra system, which allows symbolic manipulation of algebraic expressions—equations can be solved in terms
TI-89_series
Linux distribution
computing software Octave, a Matlab clone Scilab, another Matlab clone GSL, GNU Scientific Library Maxima computer algebra system Python programming language
Quantian
American actor
2001 Family Law Darren Perliss Episode: "Sacrifices" 2001 Danny Episode: "Algebra 1" 2003 The United States of Leland 12-year-old Leland 2003 The Long Ride
Alec_Medlock
Addition, multiplication, division, ...
A Course in Universal Algebra. Springer. Brunner, J.; Drescher, Th.; Pöschel, R.; Seidel, H. (Jan 1993). "Power algebras: clones and relations" (PDF).
Operation_(mathematics)
operators, and Boolean-valued functions. Boolean algebra In mathematics and mathematical logic, the branch of algebra in which the values of the variables are
Glossary_of_computer_science
Version control system by Google
to a local copy of files, similar to a working copy in Subversion, local clone in Git, or a client in Perforce. Updates made by other developers can be
Piper_(source_control_system)
English mathematician (1904–1982)
MR 0986732 Abstract clone Commutator collecting process Isoclinism of groups Regular p-group Three subgroups lemma Hall algebra, and Hall polynomials
Philip_Hall
American new wave band
punk group Billy Clone & the Same, which disbanded due to the heroin overdose and death of bandleader Mike Corte. Former Billy Clone guitarist Bruce Connole
The_Jetzons
Gertrude B. Elion in 1957 . AZT Flossie Wong-Staal was the first scientist to clone HIV and map its genes. Gertrude Elion made foundational contributions to
List of inventions and discoveries by women
List_of_inventions_and_discoveries_by_women
Polish American mathematician
mathematician known for his contributions to geometric topology, quantum algebra, and combinatorics. Kuperberg is a professor of mathematics at the University
Greg_Kuperberg
compilable with Windows. The Unix and Linux versions do not contain a computer algebra subsystem. Euler Math Toolbox originated in 1988 as a program for Atari
Euler_Mathematical_Toolbox
1956. Nuclear transfer – Is a form of cloning first put into practice by Ian Wilmut and Keith Campbell to clone Dolly the Sheep Oxygen gas (O2) discovered
List of British innovations and discoveries
List_of_British_innovations_and_discoveries
Topics referred to by the same term
Band-Maid Orders (1974 film), a film by Michel Brault "Orders" (Star Wars: The Clone Wars) Order (business), a buyer's intention to obtain goods and services
Order
the possibility that all rational thought could be made as systematic as algebra or geometry. Hobbes wrote in Leviathan: "For reason ... is nothing but
History of artificial intelligence
History_of_artificial_intelligence
List of web series episodes
contestants and sends the remaining eliminated contestants to "Eternal Algebra Class Withfour" [sic] (abbreviated as EXIT, and part of the Fourest, a
List of Battle for Dream Island episodes
List_of_Battle_for_Dream_Island_episodes
3D combination puzzle
Cube" (PDF). Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC '07). ACM Press. Rubik's cube proof cut to 25 moves
Rubik's_Cube
Topics referred to by the same term
the Windows virtualization software Coherent (operating system), a UNIX-clone operating system Oracle Coherence, an in-memory data grid product from Oracle
Coherence
Operation on mathematical functions
transformations composed together, such as f ∘ f ∘ g ∘ f. Such chains have the algebraic structure of a monoid, called a transformation monoid or (much more seldom)
Function_composition
Hungarian mathematician (born 1964)
fellow since 1991. Tardos started with a result in universal algebra: he exhibited a maximal clone of order-preserving operations that is not finitely generated
Gábor_Tardos
Study of rational collective decision-making
stochastic dynamics Algebraic structures Algebra of physical space Particle physics and representation theory Feynman integral Poisson algebra Quantum group
Social_choice_theory
Financial calculator made by Hewlett-Packard
steps) and more built-in functions. It allows input to be entered in algebraic mode as well as in 4-level classical RPN. The calculator's particular
HP-12C
has begun to feel more and more vulnerable. As a result, she created the clone-Sphinx named Goliad to serve as her heir lest she die on the throne. During
List of Adventure Time characters
List_of_Adventure_Time_characters
Definition of quantum circuits
{\displaystyle Z} -angle rotations are known. Magic state distillation Clifford algebra Gottesman, Daniel (1998-01-01). "Theory of fault-tolerant quantum computation"
Clifford_gate
Mathematical model for data types
It has a mathematical foundation in universal algebra. Formally, an ADT is analogous to an algebraic structure in mathematics, consisting of a domain
Abstract_data_type
Topics referred to by the same term
Project, a volunteer project that has created a modern Atari ST computer clone called the FireBee Audax Club Parisien, a cycling club Acampe, an orchid
ACP
12.283. PMID 15857243. Wendl MC (2007). "Algebraic correction methods for computational assessment of clone overlaps in DNA fingerprint mapping". BMC
Sulston_score
Vector graphics editor
tracing, the process of extracting vector graphics from raster sources. Clones are child objects of an original parent object. Different transformations
Inkscape
Computer hardware technology that uses quantum mechanics
systems. Physicists describe these systems mathematically using linear algebra. Complex numbers model probability amplitudes, vectors model quantum states
Quantum_computing
Extended reality operating system
""Project Moohan" is Google and Samsung's inevitable Apple Vision Pro clone". Ars Technica. Archived from the original on August 23, 2023. Retrieved
Android_XR
List of notable software written in or for the C++ programming language
library General Polygon Clipper — polygon clipping library GiNaC — computer algebra system that uses Class Library for Numbers for implementing arbitrary-precision
List of C++ software and tools
List_of_C++_software_and_tools
Device used for calculations
statistical calculations. Some calculators even have the ability to do computer algebra. Graphing calculators can be used to graph functions defined on the real
Calculator
Enterprise messaging software developed by Google
2023. Amadeo, Ron (July 7, 2021). "Google Chat review: Terrible as a Slack clone, good as a consumer chat app". Ars Technica. Retrieved July 14, 2021.
Google_Chat
French and British cryptographer (born 1971)
system for solving systems of algebraic equations used in the attack. Other cryptographic results of Courtois include algebraic attacks on stream ciphers
Nicolas_Courtois
Specialized electronic circuit that accelerates graphics
artificial intelligence (AI) processing and model training due to linear algebra acceleration, which is also used extensively in graphics processing. Although
Graphics_processing_unit
computer algebra abilities. PARI/GP is a widely used computer algebra system designed for fast computations in number theory (factorizations, algebraic number
List of numerical-analysis software
List_of_numerical-analysis_software
Quantum search algorithm
(2000-05-01). "Nested Quantum Search and NP-Hard Problems". Applicable Algebra in Engineering, Communication and Computing. 10 (4): 311–338. doi:10.1007/s002000050134
Grover's_algorithm
Hungarian chess grandmaster (born 1976)
Gutman, at age 11. Polgár vs. V. Metodiev, Albena 1986 This example uses algebraic notation. Judit started playing in tournaments at 6 years old, and by
Judit_Polgár
Database class for storage and retrieval of modeled data
number of non-relational, distributed data stores, including open source clones of Google's Bigtable/MapReduce and Amazon's DynamoDB. There are various
NoSQL
Process in quantum computing
which was shown before to equal 1 − p {\displaystyle {1-p}} . A little algebra then shows that the fidelity after error correction is greater than the
Quantum_error_correction
Cloud storage and file synchronization service
11, 2014. Retrieved October 30, 2016. Bott, Ed (April 24, 2012). "Google clones Dropbox: lock, stock, and privacy gaffe". ZDNet. CBS Interactive. Archived
Google_Drive
systems ever by PC World magazine. Made by Pioneer Corporation in 1993 (a clone was produced by NEC as well), the LaserActive employed the trademark LaserDiscs
List of commercial failures in video game consoles
List_of_commercial_failures_in_video_game_consoles
Code used in quantum error correction
ISBN 978-0-19-269469-0. Nakahara, Mikio; Ohmi, Tetsuo (2008-03-11). Quantum Computing: From Linear Algebra to Physical Realizations. CRC Press. ISBN 978-1-040-06974-5.
Shor_code
Algorithms for matrix decomposition
approximation is a group of algorithms in multivariate analysis and linear algebra where a matrix V is factorized into (usually) two matrices W and H, with
Non-negative matrix factorization
Non-negative_matrix_factorization
Computer architecture bit width
M16C [jp] (16-bit registers, 24-bit address space) Ricoh Ricoh 5A22 (WDC 65816 clone used in SNES) Texas Instruments Texas Instruments TMS9900 TI MSP430 Toshiba
16-bit_computing
Study of organisms and their environment
survivorship, and these are analyzed using mathematical techniques such as matrix algebra. The information is used for managing wildlife stocks and setting harvest
Ecology
Quantum mechanics posed in terms of category theory
a Y), reflecting the no-cloning and no-deleting theorems of quantum mechanics. Special commutative dagger Frobenius algebras model the fact that certain
Categorical_quantum_mechanics
English mathematician (1815–1852)
the player(s) will help Ada finish her work on the Analytical Engine. A clone of Ada Lovelace appears in the 2023 video game Starfield Ada Lovelace is
Ada_Lovelace
Hemispheres). George Boole authored The Laws of Thought which contains Boolean algebra. Forming the mathematical foundations of computing, Boolean logic laid
Culture_of_the_United_Kingdom
Cryptography secured against quantum computers
supersingular elliptic curves and maximal orders in particular types of quaternion algebras. Another widely noticed construction, SIDH/SIKE, was spectacularly broken
Post-quantum_cryptography
Unofficial World Computer Chess Championship
include "every major engine that is not a direct clone". In TCEC 13, DeusX was banned due to being a clone of Leela, and in TCEC 20, Houdini, Fire, Rybka
Top_Chess_Engine_Championship
Disproved conjecture in multilinear algebra on the rank of symmetric tensors
In mathematics, Comon's conjecture was a conjecture in multilinear algebra asserting that the rank and the symmetric rank of a symmetric tensor are always
Comon's_conjecture
in intuitionistic logic Recursion Relational algebra (to do) Solvable group Square root of 2 Tetris Algebra of sets idempotent laws for set union and intersection
List_of_mathematical_proofs
JISC. Donagi, Ron; Shaska, Tony (2 March 2020). Integrable Systems and Algebraic Geometry. Cambridge University Press. p. 5. ISBN 978-1-108-71577-5. Chaundy
List of science, technology and mathematics people associated with Balliol College, Oxford
List_of_science,_technology_and_mathematics_people_associated_with_Balliol_College,_Oxford
Theorem in set-theoretic geometry
the second ball. This brings the total down to 16 + 1 pieces. With more algebra, one can also decompose fixed orbits into 4 sets as in step 1. This gives
Banach–Tarski_paradox
Quantum error correction code
overcome this difficulty. Algebraic-geometry codes provide another source of stabilizer constructions. Matsumoto used algebraic curves to obtain asymptotically
Stabilizer_code
Private college in Williamstown, Massachusetts, US
Pamela E. Harris, professor of mathematics, specializing in combinatorial algebra John Haskell Hewitt, professor of classical languages Alan Hirsch (professor)
Williams_College
American voice actor (born 1956)
the Block – Wildcat The New Woody Woodpecker Show – Corky, Louie, Woody Clone, Willy Walrus The New Yogi Bear Show – La Bamba Bear Oh Yeah! Cartoons –
Rob_Paulsen
Topics referred to by the same term
Intent) "Monster" (Millennium) "Monsters" (Roswell) "Monster" (Star Wars: The Clone Wars) "Monster" (The Outer Limits) "Monsters" (The Walking Dead) The Monster
Monster_(disambiguation)
Numerical analysis programming language
incompatibility with MATLAB as a bug; therefore, it could be considered a software clone, which does not infringe software copyright as per Lotus v. Borland court
GNU_Octave
Geneticist and evolutionary biologist (1892–1964)
He is also remembered for his work in human biology, having coined "clone", "cloning", and "ectogenesis". With his sister, Naomi Mitchison, Haldane was
J._B._S._Haldane
Theorem in quantum mechanics
the theory form a von Neumann algebra. Specifically, an analogue of Gleason's result can be shown to hold if the algebra of observables has no direct summand
Gleason's_theorem
Google Earth 5, the Mars feature allowed users to speak to a primitive ELIZA clone on the planet, by searching for "Meliza". On July 20, 2005, the 36th anniversary
List_of_Google_Easter_eggs
al-Khwarizmi wrote textbooks with precise step-by-step methods for arithmetic and algebra, used in Islam, India and Europe until the 16th century. The word "algorithm"
Timeline of artificial intelligence
Timeline_of_artificial_intelligence
Computer specialized in running Lisp
two years, from 1982 to the end of 1983, Stallman worked by himself to clone the output of the Symbolics programmers, with the aim of preventing them
Lisp_machine
Deep learning software
statistical distributions like uniform, normal and multinomial, and basic linear algebra subprogram (BLAS) operations like dot product, matrix–vector multiplication
Torch_(machine_learning)
American science fiction comedy television series (2004–2006)
Game Boy Advance on August 22, 2006, in which players help Phil stop Pim's clones of a futuristic pet called "Blahs." Disney Publishing released a series
Phil_of_the_Future
Computer program for working with tabular data
Systems, Inc.: Released in late 1982, ExecuCalc was the first mainframe "visi-clone" which duplicated the features of VisiCalc on IBM mainframes with 3270 display
Spreadsheet
Versions of a JavaScript standard
type system, generators and iterators, destructuring assignment, and algebraic data types. The intent of these features was partly to better support
ECMAScript_version_history
Quantum mechanical phenomenon
rectangular barriers shown, can be analysed and solved algebraically. Most problems do not have an algebraic solution, so numerical solutions are used. "Semiclassical
Quantum_tunnelling
Description of a quantum-mechanical system
explained in the section on linearity below. In the language of linear algebra, this equation is an eigenvalue equation. Therefore, the wave function
Schrödinger_equation
S-shaped curve
from which all higher derivatives can be derived algebraically. For example, f ″ = ( 1 − 2 f ) ( 1 − f ) f {\displaystyle f''=(1-2f)(1-f)f}
Logistic_function
accidentally clones Delete instead, leading him to produce 3 clones every time he sneezes. The kids and Digit enlist the help of clone catcher Cy Clone. For Real:
List_of_Cyberchase_episodes
Class of quantum error correcting codes
Bell's Eastin–Knill Gleason's Gottesman–Knill Holevo's No-broadcasting No-cloning No-communication No-deleting No-hiding No-teleportation PBR Quantum speed
CSS_code
Topics referred to by the same term
Standard Template Library Vector clock, an algorithm Vector space model, an algebraic model for representing text documents Euclidean vector, a geometric object
Vector
group of current and former MIT students, mostly mathematicians, and an algebra professor devise a card counting scheme for success at Las Vegas Strip
List of films about mathematicians
List_of_films_about_mathematicians
when Google helped reduce the pagerank of widespread, uneditable Wikipedia clones that were ostensibly ad farms.[citation needed] In 2007, Google introduced
Relationship between Google and Wikipedia
Relationship_between_Google_and_Wikipedia
Programming language used on DEC PDP-series machines
FOCAL (acronym for Formulating On-line Calculations in Algebraic Language, or FOrmula CALculator) is an interactive interpreted programming language based
FOCAL_(programming_language)
Russian chess grandmaster (born 1951)
(link) "Anatoly Karpov: The Owner of the Unique Stamp Collection". Watch-Clone.com. Archived from the original on February 18, 2011. Retrieved March 28
Anatoly_Karpov
Mathematical entity to describe the probability of each possible measurement on a system
normalized linear functionals on a C*-algebra, or sometimes other classes of algebras of observables. See State on a C*-algebra and Gelfand–Naimark–Segal construction
Quantum_state
word ‘equals’, Diophantus took a fundamental step from verbal algebra towards symbolic algebra. Struik, Dirk J. (1987). A Concise History of Mathematics.
Timeline of scientific discoveries
Timeline_of_scientific_discoveries
Type of quantum computer
one-dimensional anyons important. In one space dimension, anyons are defined algebraically. Even though quantum braids are inherently more stable than trapped
Topological_quantum_computer
Handheld calculator operating system
programming language based on RPN, but equally capable of processing algebraic expressions and formulae, implemented as a threaded interpreter. RPL has
RPL_(programming_language)
CLONE ALGEBRA
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