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Algorithm for finding the convex hull of a set of points in the plane
In computational geometry, Chan's algorithm, named after Timothy M. Chan, is an optimal output-sensitive algorithm to compute the convex hull of a set
Chan's_algorithm
Class of algorithms in computational geometry
convex hull algorithm"). A much simpler algorithm was developed by Chan in 1996, and is called Chan's algorithm. Known convex hull algorithms are listed
Convex_hull_algorithms
Optimized algorithm for computing the convex hull of a set of points
The Kirkpatrick–Seidel algorithm is an algorithm designed for computing the convex hull of a set of points in the plane, offering a time complexity of
Kirkpatrick–Seidel_algorithm
An algorithm is a fundamental set of rules or defined procedures that are typically designed and used to be a simpler way to solve a specific problem
List_of_algorithms
Algorithm for computing convex hulls in a set of points
gift wrapping algorithm is an algorithm for computing the convex hull of a given set of points. In the two-dimensional case the algorithm is also known
Gift_wrapping_algorithm
Fast method for calculating the digits of π
The Chudnovsky algorithm is a fast method for calculating the digits of π, based on Ramanujan's π formulae. Published by the Chudnovsky brothers in 1988
Chudnovsky_algorithm
Important algorithms in numerical statistics
Algorithms for calculating variance play a major role in computational statistics. A key difficulty in the design of good algorithms for this problem is
Algorithms for calculating variance
Algorithms_for_calculating_variance
Exponential function of an exponential function
of algorithms, double exponential sequences are used within the design of an algorithm rather than in its analysis. An example is Chan's algorithm for
Double_exponential_function
Branch of computer science
of algorithms that can be stated in terms of geometry. Some purely geometrical problems arise out of the study of computational geometric algorithms, and
Computational_geometry
In the study of algorithms, an LP-type problem (also called a generalized linear program) is an optimization problem that shares certain properties with
LP-type_problem
Property describing run-time complexity of algorithms
In computer science, an output-sensitive algorithm is an algorithm whose running time depends on the size of the output, instead of, or in addition to
Output-sensitive_algorithm
Computational geometry problem
{\displaystyle \Omega (n\log n)} , and optimal algorithms with this running time are known for d=1 and d=2. The Chan algorithm provides an upper bound of O ( n d
Klee's_measure_problem
Smallest convex set containing a given set
output-sensitive algorithms are known that compute the convex hull in time O ( n log h ) {\displaystyle O(n\log h)} . These include Chan's algorithm and the
Convex_hull
Algorithm in graph theory
Floyd–Warshall algorithm (also known as Floyd's algorithm, the Roy–Warshall algorithm, the Roy–Floyd algorithm, or the WFI algorithm) is an algorithm for finding
Floyd–Warshall_algorithm
subdivision surface, texture mapping Vint Cerf – TCP/IP, NCP Timothy M. Chan – Chan's algorithm Donald D. Chamberlin – SQL David Chaum – blind signatures, International
List_of_programmers
Canadian computer scientist
contributions to computational geometry, algorithms, and data structures". Chan's algorithm, an output-sensitive algorithm for planar convex hulls Two CS faculty
Timothy_M._Chan
Method for finding kth smallest value
In computer science, a selection algorithm is an algorithm for finding the k {\displaystyle k} th smallest value in a collection of orderable values,
Selection_algorithm
Technological phenomenon with social implications
Algorithmic bias describes systematic and repeatable harmful tendency in a computerized sociotechnical system to create "unfair" outcomes, such as "privileging"
Algorithmic_bias
contributions to the development of efficient localizaiton and tracking algorithms. "2016 elevated fellow" (PDF). IEEE Fellows Directory. Archived from the
Yiu_Tong_Chan
Problem in computational complexity theory
Unsolved problem in computer science Is there an algorithm to solve the 3SUM problem in time O ( n 2 − ϵ ) {\displaystyle O(n^{2-\epsilon })} , for some
3SUM
Sweep line algorithm
In computational geometry, the Bentley–Ottmann algorithm is a sweep line algorithm for listing all crossings in a set of line segments, i.e. it finds
Bentley–Ottmann_algorithm
Theoretical chemist
density matrix renormalization group (DMRG) theory and tensor network algorithms. Chan attended the University of Cambridge, where he was a member of Christ's
Garnet_K.-L._Chan
manufacturing shop. The DCA was introduced in 1982 by H.M. Chan and D.A. Milner The algorithm restructures the existing machine / component (product) matrix
Direct_clustering_algorithm
Primal-Dual algorithm optimization for convex problems
In mathematics, the Chambolle–Pock algorithm is an algorithm used to solve convex optimization problems. It was introduced by Antonin Chambolle and Thomas
Chambolle–Pock_algorithm
Lebanese-American physician and researcher
Research. He is known for his research on racial bias in health care algorithms and the use of artificial intelligence in health care. Obermeyer was born
Ziad_Obermeyer
reduction algorithms are algorithms used to reduce constraints and degrees of freedom in order to provide solutions for partial differential equations. Chan, Tony
Domain_reduction_algorithm
Equivalence of average-case and expected complexity
performance of randomized algorithms to deterministic (non-random) algorithms. It states that, for certain classes of algorithms, and certain measures of
Yao's_principle
the scheme was deemed fundamentally flawed by lawyers in 2014 as an algorithm was used to match welfare recipients' reported earnings with averaged
List of The Weekly with Charlie Pickering episodes
List_of_The_Weekly_with_Charlie_Pickering_episodes
Hybrid sorting algorithm based on insertion sort and merge sort
Timsort is a hybrid, stable sorting algorithm, derived from merge sort and insertion sort, designed to perform well on many kinds of real-world data.
Timsort
Distance from a point to the boundary of a set
method and the more general level-set method. For voxel rendering, a fast algorithm for calculating the SDF in taxicab geometry uses summed-area tables. Signed
Signed_distance_function
Video-focused social media platform
mental health concerns, misinformation, offensive content, addictive algorithm, its role during the Gaza war, and, following its 2026 divestiture in
TikTok
Statistical method for fitting a line
nonparametric technique for estimating a linear trend". There are fast algorithms for efficiently computing the parameters. As defined by Theil (1950),
Theil–Sen_estimator
Mathematical optimization algorithm
In mathematics, the conjugate gradient method is an algorithm for the numerical solution of particular systems of linear equations, namely those whose
Conjugate_gradient_method
Unrelated vertices in graphs
MR 2678485. Chan, T. M. (2003), "Polynomial-time approximation schemes for packing and piercing fat objects", Journal of Algorithms, 46 (2): 178–189
Independent set (graph theory)
Independent_set_(graph_theory)
Mathematical puzzle game
tower. This provides the following algorithm, which is easier, carried out by hand, than the recursive algorithm. In alternate moves: Move the smallest
Tower_of_Hanoi
Smallest convex polygon containing a given polygon
concept of a convex hull. It can be computed in linear time, faster than algorithms for convex hulls of point sets. The convex hull of a simple polygon can
Convex hull of a simple polygon
Convex_hull_of_a_simple_polygon
Network queuing discipline
Bensaou, Brahim; Chan, K. T.; Tsang, Danny H. K. (25–28 May 1997). "Credit-based fair queueing (CBFQ): A simple and feasible scheduling algorithm for packet
Credit-based_fair_queuing
World's first auction of computer algorithms
The Algorithm Auction is the world's first auction of computer algorithms. Created by Ruse Laboratories, the initial auction featured seven lots and was
The_Algorithm_Auction
Data structure for a string
practice One of the first algorithms to achieve all goals is the SA-IS algorithm of Nong, Zhang & Chan (2009). The algorithm is also rather simple (< 100
Suffix_array
Japanese manga and anime series
Interviews with Monster Girls (Japanese: 亜人（デミ）ちゃんは語りたい, Hepburn: Demi-chan wa Kataritai; lit. 'Demi Wants to Talk') is a Japanese manga series written
Interviews_with_Monster_Girls
Mathematical expression with outer and inner radicals
introduced the first algorithm for deciding which nested radicals can be denested and denesting them when possible. Earlier algorithms worked in some cases
Nested_radical
Coordination of independent clocks
trivial; the server will dictate the system time. Cristian's algorithm and the Berkeley algorithm are potential solutions to the clock synchronization problem
Clock_synchronization
Technique used in signal processing and data compression
uses a hybrid DCT-FFT algorithm), Advanced Audio Coding (AAC), and Vorbis (Ogg). Nasir Ahmed also developed a lossless DCT algorithm with Giridhar Mandyam
Discrete_cosine_transform
Process in machine learning and statistics
features and comparatively few samples (data points). A feature selection algorithm can be seen as the combination of a search technique for proposing new
Feature_selection
Points separated from others by a line
(1996); Chan (2005c). Eppstein 2022. Eppstein 1998. Agarwal, P. K. (1990). "Partitioning arrangements of lines I: An efficient deterministic algorithm". Discrete
K-set_(geometry)
Sphere that contains a set of objects
practicality in higher dimensions. A more recent deterministic algorithm of Timothy Chan runs in O ( d ( 1 2 + o ( 1 ) ) d n ) {\displaystyle O(d^{\left({\frac
Bounding_sphere
Multivariate generalization of the median
Mukhopadhyay (1994). Chan (2004). Clarkson et al. (1996). Har-Peled & Jones (2020) Chan, Timothy M. (2004), "An optimal randomized algorithm for maximum Tukey
Centerpoint_(geometry)
Class of algorithms for solving constrained optimization problems
Augmented Lagrangian methods are a certain class of algorithms for solving constrained optimization problems. They have similarities to penalty methods
Augmented_Lagrangian_method
American political advisor and lobbyist
the company. He has successfully advocated for changes in Facebook's algorithm to promote the interests of right-wing publications and successfully prevented
Joel_Kaplan
Artificial intelligence division of Meta Platforms
team hires Vladimir Vapnik, father of the popular support vector machine algorithm". VentureBeat. 2014-11-25. Archived from the original on 2014-11-27. Retrieved
Meta_AI
American social networking service
mid-2008, an algorithmic lists of trending topics among users. A word or phrase mentioned can become "trending topic" based on an algorithm. Because a relatively
X_(social_network)
Color reconstruction algorithm
Demosaicing, also known as color reconstruction, is a digital image processing algorithm used to reconstruct a full color image from the incomplete color samples
Demosaicing
System that regulates the formation of blocks on a blockchain
through the idea of "reusable proof of work" using the 160-bit secure hash algorithm 1 (SHA-1). Proof of work was later popularized by Bitcoin as a foundation
Proof_of_work
Algorithmic problem on point-line incidence
Eppstein by Jiří Matoušek, Chan and Zheng describe an algorithm that performs a constant number of levels of the recursive algorithm, reducing the problem
Hopcroft's_problem
Statistical Markov model
maximum likelihood estimation. For linear chain HMMs, the Baum–Welch algorithm can be used to estimate parameters. Hidden Markov models are known for
Hidden_Markov_model
Claude Michael Gann 41 WTC Roswell Georgia United States sales executive Algorithmics Charles "UncleChaCha" William Garbarini 44 WTC Pleasantville New York
List of victims of the September 11 attacks (A–G)
List_of_victims_of_the_September_11_attacks_(A–G)
Fast Fourier Transform algorithm
The prime-factor algorithm (PFA), also called the Good–Thomas algorithm (1958/1963), is a fast Fourier transform (FFT) algorithm that re-expresses the
Prime-factor_FFT_algorithm
Algorithmic optimization method
algorithms for combinatorial optimization, parametric search is a technique invented by Nimrod Megiddo (1983) for transforming a decision algorithm (does
Parametric_search
Messaging and VoIP service owned by Meta
transform (MDCT) and linear predictive coding (LPC) audio compression algorithms. WhatsApp uses Opus at 8–16 kHz sampling rates. On November 14, 2016,
Hong Kong mathematician (born 1952)
levels." IEEE Fellow, 2016, "for contributions to computational models and algorithms for image processing". Honorary Doctor of the University, University of
Tony_F._Chan
Concept in computational geometry
sets. An algorithm of Chan finds a disjoint set with a size of at least (1 − 2/k)⋅|MDS(C)| in time nO(k), for every constant k > 1. The algorithm uses shifted
Maximum_disjoint_set
Number divisible only by 1 and itself
of any integer between 2 and n {\displaystyle {\sqrt {n}}} . Faster algorithms include the Miller–Rabin primality test, which is fast but has a small
Prime_number
Algorithm for measuring similarity between temporal sequences
In time series analysis, dynamic time warping (DTW) is an algorithm for measuring similarity between two temporal sequences, which may vary in speed.
Dynamic_time_warping
Failure of the heart to provide sufficient blood flow
pressures". The European Society of Cardiology has developed a diagnostic algorithm for HFpEF, named HFA-PEFF. HFA-PEFF considers symptoms and signs, typical
Heart_failure
British algorithmic trading company
XTX Markets Limited is a British algorithmic trading company based in London. It was founded in January 2015 by Alexander Gerko, who is currently co-CEO
XTX_Markets
surprisingly large number of these step detection algorithms are special cases of a more general algorithm. This algorithm involves the minimization of a global functional:
Step_detection
Navigation and surveillance technique
K.W. Cheung, H.C. So, W.K. Ma, Y.T. Chan, "A Constrained Least Squares Approach to Mobile Positioning: Algorithms and Optimality," EURASIP Journal on
Pseudo-range_multilateration
Anonymous imageboard website
pages. /r9k/ is a board that implements Randall Munroe's "ROBOT9000" algorithm, where no exact reposts are permitted. It is credited as the origin of
4chan
which is an extension of the concept of memetic algorithm, the user can define its own optimization algorithm as a set of independent pieces of code called
Kimeme
Internet challenge revolving around the choking game
lawsuit against TikTok in Delaware, suggesting that TikTok's "For You" algorithm promoted the blackout challenge videos to minors and failed to outline
Blackout_challenge
Disciplines into which the field of engineering is conventionally divided
Interdisciplinary. Oxford University Press, 2010. (pp. 149–150) Wiebe, A. J.; Chan, C. W. (April 2012). "Ontology driven software engineering". 2012 25th IEEE
List_of_engineering_branches
Artificial intelligence division of Meta Platforms
their early chips, is designed for the company's content recommendation algorithms. It was fabricated on TSMC's 7 nm process technology and consumed 25W
Meta_Superintelligence_Labs
Series related to Ramanujan's pi formulas
consequence of Stirling's approximation. Chudnovsky algorithm Borwein's algorithm Chan, Heng Huat; Chan, Song Heng; Liu, Zhiguo (2004). "Domb's numbers and
Ramanujan–Sato_series
Antisemitic caricature
https://arxiv.org/abs/1805.12512. Savvas 2019, p. 9. Savvas 2019, p. 11. "Google Algorithm Continues To Spread Antisemitism And Holocaust Denial – Contrary To Google's
Happy_Merchant
Short-form section of video-sharing platform
on-screen captions. Viewers can scroll through an endless feed of videos algorithmically tailored for the user. Although intended to be watched on smartphones
YouTube_Shorts
Georgia Institute of Technology Jesus 2013 United States Founder of the Algorithmic Justice League Julian Gewirtz Harvard College St Edmund 2013 United States
List_of_Rhodes_Scholars
Multidimensional fast Fourier transform algorithm
FFT algorithm, is a multidimensional fast Fourier transform (FFT) algorithm, which is a generalization of the ordinary Cooley–Tukey FFT algorithm that
Vector-radix_FFT_algorithm
American science fiction thriller TV miniseries (2020)
critics praising its imagination, cinematography, acting, and soundtrack. Lily Chan is a software engineer for Amaya, a quantum computing company run by Forest
Devs_(TV_series)
Mapping function that preserves data point locality
358741, S2CID 14988647. Chan, T. (2002), "Closest-point problems simplified on the RAM", ACM-SIAM Symposium on Discrete Algorithms. Connor, M.; Kumar, P
Z-order_curve
User-generated website displaying artworks
Egammal of Rutgers University used images from WikiArt in training an algorithm to look at paintings and detect the works’ genre, style and artist. Later
WikiArt
Computing company founded in 2014
cryptographic keys to support traditional algorithms, such as RSA and AES, as well as post-quantum cryptography algorithms. Quantum Origin is said to be the first
Quantinuum
2000 film by Wong Kar-wai
Su Li-zhen (Mrs. Chan) Tony Leung Chiu-wai as Chow Mo-wan Siu Ping as Ah Ping, Chow's co-worker Rebecca Pan as Mrs. Suen, the Chans' landlady Kelly Lai
In_the_Mood_for_Love
Artificial Intelligence
Romero, Alberto (2022-06-21). "GPT-4Chan: 'The worst AI ever'". The Algorithmic Bridge. Archived from the original on 2023-11-20. Retrieved 2023-11-20
GPT-4Chan
Processing of natural language by a computer
efficiency if the algorithm used has a low enough time complexity to be practical. 2003: word n-gram model, at the time the best statistical algorithm, is outperformed
Natural_language_processing
Process of generating keys in cryptography
systems include symmetric-key algorithms (such as DES and AES) and public-key algorithms (such as RSA). Symmetric-key algorithms use a single shared key; keeping
Key_generation
Japanese manga series
Kiseki no Yami no Keiyakusha (2019–2023) Ghost in the Shell: The Human Algorithm (2019–2021) 2020s Violence Jack 20XX (2021–2022) Candy and Cigarettes
Wangan_Midnight
American computer programmer and video game developer (born 1970)
made innovations in 3D computer graphics, such as his Carmack's Reverse algorithm for shadow volumes. In 2013, he resigned from id Software to work full-time
John_Carmack
Video that becomes popular via Internet sharing
YouTube introduced a "trending" tab to alert users to viral videos using an algorithm based on comments, views, "external references", and even location. The
Viral_video
Matrix with shifting rows
the case. Toeplitz systems can be solved by algorithms such as the Schur algorithm or the Levinson algorithm in O ( n 2 ) {\displaystyle O(n^{2})} time
Toeplitz_matrix
Using distance measures along a shape's edges to determine position in space
texts. Moreover, one can easily adapt algorithms for a three dimensional Cartesian space. The simplest algorithm employs analytic geometry and a station-based
True-range_multilateration
Competence to evaluate AI technologies
sources of error and uncertainty in algorithms and data. Auditability: Enable other parties to audit and assess algorithm behavior via transparent information
AI_literacy
Artificial intelligence program by DeepMind
As the iteration progresses, according to one report, the "attention algorithm ... mimics the way a person might assemble a jigsaw puzzle: first connecting
AlphaFold
is not: it is a checksum. Hash function security summary Secure Hash Algorithms NIST hash function competition Key derivation functions (category) "Hash
List_of_hash_functions
American political activist (1993–2025)
Kirk's Twitter account was flagged under "do not amplify", which meant algorithms would not highlight tweets coming from it. In April 2024, Kirk created
Charlie_Kirk
Image-generating machine learning model
original on April 20, 2023. Retrieved March 18, 2025. Saharia, Chitwan; Chan, William; Saxena, Saurabh; Li, Lala; Whang, Jay; Denton, Emily; Seyed Kamyar
Imagen_(text-to-image_model)
Machine learning model
1109/PICC51425.2020.9362485. ISBN 978-1-7281-7590-4. Kim, Taehoon; Kang, ChanHee; Park, JaeHyuk; Jeong, Daun; Yang, ChangHee; Kang, Suk-Ju; Kong, Kyeongbo
Text-to-video_model
Smartglasses
touching the glasses. The technology was developed using deep learning algorithms based on data from nearly 200,000 consenting research participants. The
Ray-Ban_Meta
Algorithm for solving matrix-vector equations
algebra, the conjugate gradient squared method (CGS) is an iterative algorithm for solving systems of linear equations of the form A x = b {\displaystyle
Conjugate gradient squared method
Conjugate_gradient_squared_method
American computer scientist
engineer, educator, and author, known for his contributions to genetic algorithms, engineering education, and the philosophy of engineering. He is a registered
David_E._Goldberg
Social networking service owned by Meta Platforms
display of stories in a user's News Feed is governed by the EdgeRank algorithm. The Photos application allows users to upload albums and photos. Each
CHANS ALGORITHM
CHANS ALGORITHM
Girl/Female
Indian
Beauteous, Beloved
Female
Hebrew
Variant spelling of Hebrew Channa, CHANA means "favor; grace."Â
Boy/Male
Indian
Chant; Mantra
Boy/Male
Muslim
The Moon, To shine, Moon light
Boy/Male
Hindu
The Moon, To shine, Moon light
Boy/Male
Indian
Chant; Chanting
Male
German
German short form of Latin Johannes, HANS means "God is gracious."
Boy/Male
Arabic, German, Muslim
Chant
Boy/Male
English Irish
Young wolf.
Girl/Female
Tamil
Sumantrina | ஸà¯à®®à®¾à®‚நà¯à®¤à¯à®°à¯€à®¨à®¾
Chant
Sumantrina | ஸà¯à®®à®¾à®‚நà¯à®¤à¯à®°à¯€à®¨à®¾
Girl/Female
Hindu
Chant
Boy/Male
Indian
Chant
Boy/Male
Hindu
Famous
Boy/Male
Indian, Sanskrit
Prayer; Chant
Male
Hindi/Indian
(चणà¥à¤¡) Masculine form of Hindi Chanda, CHAND means "bright" or "fierce."
Boy/Male
Muslim
Chant
Female
Thai/Siamese
Thai name PEN-CHAN means "full moon."
Male
English
Pet form of English Charles, CHAS means "man."
Female
Hebrew
Pet form of Hebrew Channah, CHANI means "favor; grace."
Boy/Male
Spanish
Abbreviations for names ending in '-ano' and '-rio.' Chan: (Chinese) family name.
CHANS ALGORITHM
CHANS ALGORITHM
Girl/Female
Indian
Slender, Of beautiful body
Surname or Lastname
English
English : variant of Jayne.South German : from a reduced form of the personal name Johannes (see John).
Boy/Male
Hindu
Great ascetic, Lord Shiva
Male
Welsh
Welsh name derived from an old byname WYN means "blessed, fair, holy, white."
Male
English
Variant spelling of English Ahern, AHEARN means "lord of horses."Â
Female
Russian
(Магдалина) Russian form of Greek Magdalēnē, MAGDALINA means "of Magdala."
Boy/Male
Sanskrit Spanish Vietnamese
Shining.
Girl/Female
Hindu, Indian, Malayalam, Marathi, Traditional
Indian Goddess Name
Boy/Male
Tamil
Restrained
Female
Russian
(ДунÑша) Pet form of Russian Avdotya, DUNYASHA means "good-seeming."
CHANS ALGORITHM
CHANS ALGORITHM
CHANS ALGORITHM
CHANS ALGORITHM
CHANS ALGORITHM
v. i.
To sing, as in reciting a chant.
v. t.
To sing or recite after the manner of a chant, or to a tune called a chant.
p. pr. & vb. n.
of Chant
n.
Singing, esp. as a chant is sung.
n.
a lynxlike animal of Asia and Africa (Lynx Lybicus).
n.
One who chants; a singer or songster.
n.
The East Indian name for the large spiral shell of several species of sea conch much used in making bangles, esp. Turbinella pyrum. Called also chank chell.
n. pl.
The jaws, or the fleshy parts about them. See Chap.
n.
Any confused or disordered collection or state of things; a confused mixture; confusion; disorder.
n. pl.
The lower chaps or jaw.
n. pl.
See Ant/cians.
imp. & p. p.
of Chant
n.
A chank shell (Turbinella pyrum); also, a shell bracelet or necklace made in India from the chank shell.
v. i.
To chant; to recite with musical tones.
n.
See Chank.
n.
Fetters; chains; handcuffs; manacles.
a.
Consisting of little links or chains.
a.
Resembling chaos; confused.
n. & v.
See Chant.