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Complexity class
In computability theory and computational complexity theory, RE (recursively enumerable) is the class of decision problems for which a 'yes' answer can
RE_(complexity)
Topics referred to by the same term
pressure (Re), in underwater acoustics RE (complexity) (recursively enumerable), a complexity class of decision problems Recursively enumerable (r.e.), in
Re
Feature of systems that defy description
Complexity characterizes the behavior of a system or model whose components interact in multiple ways and follow local rules, leading to non-linearity
Complexity
Measure of algorithmic complexity
theory (a subfield of computer science and mathematics), the Kolmogorov complexity of an object, such as a piece of text, is the length of a shortest computer
Kolmogorov_complexity
Topics referred to by the same term
may also refer to: Complexity Gaming, an American esports organization "Complexity", a song by Front Line Assembly from the 1997 re-release of the album
Complexity_(disambiguation)
Complexity class consisting of all recursive languages
the class is equal to RE ∩ co-RE. Blum, Lenore, Mike Shub, and Steve Smale, (1989), "On a theory of computation and complexity over the real numbers:
R_(complexity)
Numerical measure of program structure
better known for introducing cyclomatic complexity. McCabe defined essential complexity as the cyclomatic complexity of the reduced CFG (control-flow graph)
Essential_complexity
Mathematical logic concept
abbreviations c.e. and r.e. are often used, even in print, instead of the full phrase. In computational complexity theory, the complexity class containing all
Computably_enumerable_set
Number and type of nodes and alternative paths that exist within a computer network
Michael H. Behringer (2009). "Classifying network complexity" (PDF). Proceedings of the 2009 workshop on Re-architecting the internet. ACM. pp. 13–18. doi:10
Network_complexity
of complexity classes in computational complexity theory. For other computational and complexity subjects, see list of computability and complexity topics
List_of_complexity_classes
Conceptual framework
sociology, social complexity is a conceptual framework used in the analysis of society. In the sciences, contemporary definitions of complexity are found in
Social_complexity
American professional electronic sports organization
Complexity Gaming, formerly stylized as compLexity, is an American esports franchise headquartered in Frisco, Texas. The franchise was founded in 2003
Complexity_Gaming
languages that are neither RE nor co-RE. It is the largest complexity class, containing all other complexity classes. Complexity Zoo: Class ALL v t e
ALL_(complexity)
Attribute of machine learning models
The sample complexity of a machine learning algorithm represents the number of training-samples that it needs in order to successfully learn a target function
Sample_complexity
Regular expression denial-of-service attack
A regular expression denial of service (ReDoS) is an algorithmic complexity attack that produces a denial-of-service by providing a regular expression
ReDoS
Field in logic and theoretical computer science
science, and specifically proof theory and computational complexity theory, proof complexity is the field aiming to understand and analyse the computational
Proof_complexity
Argument by proponents of intelligent design
Irreducible complexity (IC) is the argument that certain biological systems with multiple interacting parts would not function if one of the parts were
Irreducible_complexity
Collection of loosely coupled services used to build computer applications
modularity, scalability, and adaptability. However, it introduces additional complexity, particularly in managing distributed systems and inter-service communication
Microservices
Music genre
New Complexity is a composition school in 20th-century classical music where composers seek a "complex, multi-layered interplay of evolutionary processes
New_Complexity
include ReDOS, zip bombs and exponential entity expansion attacks. Crosby, Scott A.; Wallach, Dan S. (2003). "Denial of Service via Algorithmic Complexity Attacks"
Algorithmic_complexity_attack
2021 Indian film by Aanand L. Rai
2021. Retrieved 23 December 2021. "'Atrangi Re is fun but a very layered film with all its complexities,' says director Aanand L Rai". Firstpost. 23
Atrangi_Re
Unsolved problem in computer science
example, Hilbert's tenth problem which is RE-complete. A similar problem exists in the theory of algebraic complexity: VP vs. VNP problem. Like P vs. NP, the
P_versus_NP_problem
Hypercomputation Interactive programming Membrane computing Quasi-empiricism RE (complexity) Super-recursive algorithm Interactive Computation: The New Paradigm
Interactive_computation
Discrete Fourier transform algorithm
of sparse (mostly zero) factors. As a result, it manages to reduce the complexity of computing the DFT from O ( n 2 ) {\textstyle O(n^{2})} , which arises
Fast_Fourier_transform
Lossless, but memory-consuming, data compression algorithm
structures required to implement it with linear time and space complexity. The experiments showed that Re-Pair achieves high compression ratios and offers good
Re-Pair
Model of computational complexity
In computational complexity theory, the decision tree model is the model of computation in which an algorithm can be considered to be a decision tree,
Decision_tree_model
we can "enumerate" any recursively enumerable set (see also its complexity class RE) by a primitive-recursive function in the following sense: given
PR_(complexity)
New and legacy software co-existence
Reliably re-engineering existing business and IT environments into modern competitive, integrated architectures is non-trivial. The complexity of business
Brownfield (software development)
Brownfield_(software_development)
French philosopher and sociologist (1921–2026)
of the theory of information who has been recognised for his work on complexity and Complex Thought, and for his scholarly contributions to such diverse
Edgar_Morin
American sci-fi television series (2003–2009)
developed by Ronald D. Moore and executive produced by Moore and David Eick as a "re-imagining" of the 1978 Battlestar Galactica television series created by Glen
Battlestar Galactica (2004 TV series)
Battlestar_Galactica_(2004_TV_series)
2022–24 adaptation of Homer's ''Odyssey''
praise from reviewers and listeners for the emotional depth and narrative complexity it exhibits through its musical format. After ten years of stalemated
Epic:_The_Musical
Algorithm used for pathfinding and graph traversal
major practical drawback is its O ( b d ) {\displaystyle O(b^{d})} space complexity where d is the depth of the shallowest solution (the length of the shortest
A*_search_algorithm
1987 studio album by Front Line Assembly
This re-release incorrectly listed the second track "Core" as "Intelligence Dream" while the liner notes have the correct title. "Complexity" and "Core"
The_Initial_Command
Mathematical theorem
series to a bracket series. Obtain the complexity index, formula parameters and series coefficient function. Complexity index is the number of integrand sums
Ramanujan's_master_theorem
Observatory of Economic complexity - Countries that export Coffee (2012) atlas.media.mit.edu - Observatory of Economic complexity - Countries that export
List of countries by agricultural exports
List_of_countries_by_agricultural_exports
Country in northwestern Europe
9 March 2024. "Combustion Engines". OEC - The Observatory of Economic Complexity. Archived from the original on 26 May 2025. Retrieved 26 May 2025. "UK
United_Kingdom
4% and Texaco 3.7%) 100,000 bbl/d (16,000 m3/d) Nelson Complexity Index 6.1 – opened 1963–65, re-started in 1980; previously damaged by fire but fully-repaired
List_of_oil_refineries
Intelligence of machines
Computational learning theory can assess learners by computational complexity, by sample complexity (how much data is required), or by other notions of optimization
Artificial_intelligence
Country in Europe
from the original on 10 May 2020. "Cars". The Observatory of Economic Complexity. Retrieved 8 March 2025. "Hyundai, Now the No. 3 Carmaker, Takes Aim at
Germany
Governing body of association football in the Netherlands
Retrieved 19 September 2017. Jacco van Uden (2004). Organisation and Complexity: Using Complexity Science to Theorise Organisational Aliveness. Universal-Publishers
Royal Dutch Football Association
Royal_Dutch_Football_Association
Computational methods can study protein sequences to identify regions with low complexity, which can have particular properties regarding their function and structure
List of software to detect low complexity regions in proteins
List_of_software_to_detect_low_complexity_regions_in_proteins
Country in Southwestern Europe
facilities are classified by security level, and by degree of management complexity, and often house inmates with different legal statuses, risk levels, and
Portugal
1914–1918 global conflict
often taught thematically, invoking simplified tropes that obscure the complexity of the conflict. Historian Heather Jones argues that the historiography
World_War_I
Practice of leading the work of a team to achieve goals and criteria at a specified time
for project management to be effective. Complexity can be: Structural complexity (also known as detail complexity, or complicatedness), i.e. consisting
Project_management
Global conflict (1939–1945)
armed forces. Most major belligerents attempted to solve the problems of complexity and security involved in using large codebooks for cryptography by designing
World_War_II
Country in Eurasia from 1922 to 1991
2307/2494336. JSTOR 2494336. Tetlock, Philip E. (December 1985). "Integrative complexity of American and Soviet foreign policy rhetoric: A time-series analysis"
Soviet_Union
Movement whose goal is financial independence and retiring early
family and existing social networks, variable healthcare quality, the complexity of visa and tax-residency rules, and the risk that exchange-rate movements
FIRE_movement
World Bank Open Data. Retrieved 20 August 2023. "The Atlas of Economic Complexity by @HarvardGrwthLab". atlas.cid.harvard.edu. Retrieved 17 January 2024
List_of_countries_by_exports
Algorithm to search the nodes of a graph
graph of German cities (upper diagram) starting from Frankfurt. The time complexity can be expressed as O ( | V | + | E | ) {\displaystyle O(|V|+|E|)} , as
Breadth-first_search
Philosophical problem-solving principle
balance of evidence that complexity of method improved forecast accuracy. In the 25 papers with quantitative comparisons, complexity increased forecast errors
Occam's_razor
British and American filmmaker (born 1970)
creating startling, original genre pieces that have revelled in their own complexity, confounding every maxim by which the studios hope to appeal to the widest
Christopher_Nolan
Passage of an object through the gases of an atmosphere from outer space
classified and unknown technology. The disadvantages are increased weight and complexity, and lower reliability. The concept has never been flown, but a similar
Atmospheric_entry
Country in Southeast Asia and Oceania
Goldstein 2024, pp. 11, 14, 56–57. "Indonesia". The Observatory of Economic Complexity. 2023. Retrieved 8 May 2025. Suryanta, B. (2021). Indonesia's Integration
Indonesia
Data structure used for indexing spatial information
{\displaystyle M} objects and has little impact on the total complexity. The total insert complexity is still comparable to the R-tree: reinsertions affect
R*-tree
Prime Minister of the United Kingdom from 2010 to 2016
rejected neoconservatism because, as a conservative, he recognises "the complexities of human nature, and will always be sceptical of grand schemes to remake
David_Cameron
Interpretation of sensory information
hypothesis attempts to explain Shared intentionality in all its integral complexity from the level of interpersonal dynamics to interaction at the neuronal
Perception
Unusual regions in protein sequences
Low complexity regions (LCRs) in protein sequences, also defined in some contexts as compositionally biased regions (CBRs), are regions in protein sequences
Low complexity regions in proteins
Low_complexity_regions_in_proteins
Scientific study of language
computational consideration of algorithmic specification and computational complexity, so that the linguistic theories devised can be shown to exhibit certain
Linguistics
American filmmaker (born 1946)
discussed Spielberg's strengths as a filmmaker, saying "there is a welcome complexity of tone and approach in these later films that defies the lazy stereotypes
Steven_Spielberg
Type of audio codec specified by the Bluetooth Special Interest Group
LC3 (Low Complexity Communication Codec) is a royalty-free audio codec specified by the Bluetooth Special Interest Group (SIG) for the Bluetooth Low Energy
LC3_(codec)
King of England from 1509 to 1547
tortuous, and the plan was abandoned in 1543, not to be replaced. The complexities and sheer scale of Henry's legacy ensured that, in the words of Betteridge
Henry_VIII
Italian fighter aircraft from WW2
using the Re.2001 were not fully equipped. The complexity of the Re.2001 design led to higher costs (in 1942, the production cost of the Re.2001 was 600
Reggiane_Re.2001_Falco_II
Type of computational algorithm
In computational complexity theory, a log-space reduction is a reduction computable by a deterministic Turing machine using logarithmic space. Conceptually
Log-space_reduction
Australian-American actress (born 1967)
Talk magazine, via "Nicole Kidman – a brief profile of high ability and complexity". Talent Development Resources. Archived from the original on 8 January
Nicole_Kidman
Description of a system using mathematical concepts and language
important to get an accurate estimate of the probability. In general, model complexity involves a trade-off between simplicity and accuracy of the model. Occam's
Mathematical_model
2016 video game
create a simple story to enhance an emotional backdrop more grounded in complexity. ReCore was designed by Comcept, which is a development studio founded by
ReCore
Venezuelan computer scientist
recognition of his contributions to the foundations of computational complexity theory and its application to cryptography and program checking". Blum
Manuel_Blum
Social housing policy
developed to be flexible and responsive to the complexity of human needs. Similar to Housing First, Rapid Re-Housing is concerned with helping persons who
Rapid_Re-Housing
Supranational political and economic union
upon in June 1993. The expansion of the EU introduced a new level of complexity and discord. In 1995, Austria, Finland, and Sweden joined the EU. In 2002
European_Union
Heuristic pathfinding algorithm
surely-expanded by A*, yielding quadratic complexity compared to A*’s linear O ( N ) {\displaystyle O(N)} complexity. Mahanti et al. (1992) further showed
Iterative_deepening_A*
Software for sequence alignment
average sequence length, where re-alignment of the subtree profiles is still the dominant cost per iteration. The space complexity remains the same as given
MUSCLE_(alignment_software)
Founder of Islam (c. 570–632)
imminent final judgment and the threat of hellfire for skeptics. Due to the complexity of the experience, Muhammad was initially reluctant to tell others about
Muhammad
American fantasy drama TV series (2011–2019)
season three finale, criticizing the number of characters, their lack of complexity and a meandering plot. The show, however, appeared on many "best of" lists
Game_of_Thrones
Country in West Asia
resources, the Jordan and Yarmuk rivers, with neighbouring countries, adding complexity to water allocation decisions. Water from Disi aquifer and ten major dams
Jordan
British politician (born 1983)
are trans, get over it, let's move on". Instead, he said there were "complexities". At the 2024 general election, Streeting retained his Ilford North constituency
Wes_Streeting
Latin root of the word "republic"
adds to the complexity of translating "res publica" in this context. As another example of the complexities of the meaning of the word res publica one
Res_publica
Pseudoscientific argument for the existence of God
arguments against evolutionary explanations: irreducible complexity and specified complexity, asserting that certain biological and informational features
Intelligent_design
American actress (born 1984)
for Best Supporting Actress. Johansson was intimidated by the role's complexity, and found her recording sessions for the role challenging but liberating
Scarlett_Johansson
1955–1975 war in Southeast Asia
Indochina War (1978–1991) Soviet–Afghan War (1979–1989) Due to the war's complexity and the various actors involved, there is no clear consensus on its exact
Vietnam_War
English rock band (1960–1970)
Soul was hailed by critics as a major step forward in the maturity and complexity of the band's music. Their thematic reach was beginning to expand as they
The_Beatles
British singer-songwriter (born 1945)
and on 8 October 1968 signed him to a solo contract; but contractual complexities delayed Stewart's recording for him until July 1969. Meanwhile, in May
Rod_Stewart
Spanish heist crime drama television series
narrator, flashbacks, time-jumps, and hidden character motivations for complexity. The series was initially intended as a two-part limited series. It had
Money_Heist
Canadian writer and academic (born 1982)
London School of Economics, completing his thesis in 2013 on "Representing complexity: the material construction of world politics". He has worked as a Visiting
Nick_Srnicek
Clade of birds
2319696121. PMC 10895254. PMID 38346181. Stiller, J.; et al. (2024). "Complexity of avian evolution revealed by family-level genomes". Nature. 629 (8013):
Telluraves
Film series
"Hector" behind the scenes, as he knew he would not play it with attempts at complexity, but with a simple villainy that would suit the story's tone. Orlando
Pirates of the Caribbean (film series)
Pirates_of_the_Caribbean_(film_series)
Protection of computer systems from information disclosure, theft or damage
in everyday life, cybersecurity has emerged as a critical concern. The complexity of modern information systems—and the societal functions they underpin—has
Computer_security
Indicator for how well data points fit a line or curve
the model and its complexity, which is shown as a u-shape curve on the right. For the adjusted R2 specifically, the model complexity (i.e. number of parameters)
Coefficient_of_determination
World's first 10-speed automatic from 2017
is not reduced. In order to avoid a further increase in manufacturing complexity while expanding the number of gear ratios, Ford switched from the conventional
Ford–GM 10-speed automatic transmission
Ford–GM_10-speed_automatic_transmission
Standard for the encryption of electronic data
works on the 8-round version of AES-128, with a time complexity of 248, and a memory complexity of 232. 128-bit AES uses 10 rounds, so this attack is
Advanced_Encryption_Standard
Species of hominid in the genus Homo
defined as the process of satisfying certain needs in ascending order of complexity. From a more general, philosophical perspective, human motivation can
Human
American writer and television producer (born 1948)
Weekly writes of his ongoing epic fantasy A Song of Ice and Fire: "The complexity of characters such as Daenerys, Arya and the Kingslayer will keep readers
George_R._R._Martin
Taking in the meaning of letters or symbols
system of a language). Orthographic Development proceeds in increasing complexity as a person learns to read. Some of the first things to be learnt are
Reading
American animated film by Disney
decades. This event, he argues, helped critics and audiences recognize the complexity, artistry, and decision-making involved in animation, paving the way for
Beauty and the Beast (1991 film)
Beauty_and_the_Beast_(1991_film)
Partition of a simple polygon into triangles
by Kirkpatrick, Klawe & Tarjan (1992). Several improved methods with complexity O(n log* n) (in practice, indistinguishable from linear time) followed
Polygon_triangulation
Italian fighter aircraft during WWII
most expensive, if not the most expensive, fighter to produce. The complexity of the Re.2005, as well as its small dimensions, contributed to the competing
Reggiane_Re.2005_Sagittario
Checking software against expectations
requirements. As a general rule, the larger the system and the greater the complexity, the greater the ROI in test automation. Also, the investment in tools
Software_testing
Canadian rock band
able to present their arrangements in a live setting with the level of complexity and fidelity fans had come to expect, and without the need to resort to
Rush_(band)
2026 Indian film by Kamakhya Narayan Singh
as the defining attribute of a single community, left little room for complexity or dissenting realities. Shruti Sampat from Mid-Day found the performances
The_Kerala_Story_2
Island country in the Indian Ocean
Retrieved 30 January 2026. "The Observatory of Economic Complexity". The Observatory of Economic Complexity. Retrieved 30 January 2026. World Bank (2024). "Seychelles:
Seychelles
Ethical intimacy with multiple partners
and attention between them, leaving less for each. Related is that the complexity of the arrangement can lead to so much effort being spent on the relationship
Polyamory
RE COMPLEXITY
RE COMPLEXITY
Surname or Lastname
English
English : unexplained. The form De Lancey is also found in British records; it may well be a habitational name from Lancey in Isère, France.
Surname or Lastname
English (Hampshire)
English (Hampshire) : unexplained; perhaps of French origin, an adaptation of Fuget, a topographic name from fuge, a regional term for fougère ‘fern’.
Boy/Male
Hindu
Giving life, Re animating, Love
Surname or Lastname
English (of Norman origin) and German
English (of Norman origin) and German : occupational name for a sailor (see Mariner), from Anglo-Norman French mariner, Middle High German marnære ‘seaman’.
Girl/Female
Gujarati, Hindu, Indian
Supreme Lord; SA Re Ga Ma Pa Tha Ni Sha 7 Suro Ka Ek Naam
Surname or Lastname
English
English : variant of Freer 1.French (Frère) : from frère ‘brother’, used as a byname for the younger of two brothers.
Boy/Male
German, Indian, Japanese, Sanskrit
Of Great Re-known; Wave
Surname or Lastname
English, Dutch, and German
English, Dutch, and German : occupational name for a retail trader, Middle English manger, monger, Middle Dutch manger, menger, Middle High German mangære, mengære (from Late Latin mango ‘salesman’, with the addition of the Germanic agent suffix).Norwegian : habitational name from a farmstead in southwestern Norway named as Mángr in Old Norse, perhaps from már ‘sea gull’ + angr ‘fjord’.
Boy/Male
Tamil
Giving life, Re animating, Love
Female
French
Feminine form of French Valère, VALÉRIE means "to be healthy, to be strong."Â
Boy/Male
Egyptian
Midday sun.
Boy/Male
Hindu
Giving life, Re animating, Love
Surname or Lastname
English
English : variant spelling of Revell.French : habitational name from any of the places so named, for example in Isère and Haute-Garonne.French and southern French : nickname from Old French, Occitan reveau ‘rebel’.
Girl/Female
Tamil
th place in the Raga scale- sa re ga ma pa dha
Surname or Lastname
English
English : topographic name for someone who lived by a pond, Old English mere.English : topographic name for someone who lived near a boundary, Old English (ge)mǣre.
Boy/Male
Tamil
Giving life, Re animating, Love
Boy/Male
Hindu, Indian
Sound of SA Re Ga Ma
Girl/Female
American, Christian, Greek, Indian
Return of Sound; Sound; Well Spoken; Echo; Re-sound
Surname or Lastname
English
English : habitational name from a place in Cheshire, named in Old English as ‘boundary ((ge)mǣre) stream (pyll)’.
Girl/Female
Indian
th place in the Raga scale- sa re ga ma pa dha
RE COMPLEXITY
RE COMPLEXITY
Girl/Female
French
From the countly estate.
Boy/Male
Indian
The loving
Boy/Male
Anglo, British, English
From the Headland with the Hazel Trees
Girl/Female
Gujarati, Hindu, Indian
Expert; Splendor; Name of Parvati
Girl/Female
American, Australian
The Violet Flower
Boy/Male
Arabic, Gujarati, Hindu, Indian, Kannada, Marathi, Muslim
Clever; Smart
Girl/Female
Indian
Enjoy
Boy/Male
Australian, Basque, Christian, French, German, Scandinavian
A Farmer; Form of George
Girl/Female
French
Feminine of Bernard, meaning strong as a bear, or bear hard.
Girl/Female
Arabic Biblical
Light; splendor.
RE COMPLEXITY
RE COMPLEXITY
RE COMPLEXITY
RE COMPLEXITY
RE COMPLEXITY
v. t.
To store again; as, the goods taken out were re-stored.
n.
The act of re-presenting, or the state of being presented again; a new presentation; as, re-presentation of facts previously stated.
v. t.
To present again; as, to re-present the points of an argument.
n.
The act entereing again; re/ntry.
n.
See Re/nforce.
imp. & p. p.
of Re-form
a.
Reentering; pointing or directed inwardds; as, a re/ntrant angle.
n.
A postponement of the decision of a cause, for further consideration or re-argument.
v. t.
To collect again; to gather what has been scattered; as, to re-collect routed troops.
n.
A confr/re.
v. t.
To found or establish again; to re/stablish.
n.
The act of reinstating; the state of being reinstated; re/stablishment.
n.
A good fellow; a merry person; as, you 're a brick.
p. pr. & vb. n.
of Re-form
v. t. & i.
To give a new form to; to form anew; to take form again, or to take a new form; as, to re-form the line after a charge.
a.
Creating anew; as, re-creative power.
n.
The standard unit of electrical quantity, and also of current. See Coulomb, and Amp/re.