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PR is the complexity class of all primitive recursive functions—or, equivalently, the set of all formal languages that can be decided in time bounded by
PR_(complexity)
Topics referred to by the same term
Look up PR or .pr in Wiktionary, the free dictionary. PR, P.R., Pr, pr, or Pr. may refer to: P.R. (TV series), a Canadian television sitcom Partisan Review
PR
Class of problems in computer science
In complexity theory, PP, or PPT is the class of decision problems solvable by a probabilistic Turing machine in polynomial time, with an error probability
PP_(complexity)
Measure of complexity of real-valued functions
learning theory (machine learning and theory of computation), Rademacher complexity, named after Hans Rademacher, measures richness of a class of sets with
Rademacher_complexity
Set of problems in computational complexity theory
In computational complexity theory, a complexity class is a set of computational problems "of related resource-based complexity". The two most commonly
Complexity_class
Algorithm that employs a degree of randomness as part of its logic or procedure
Carlo algorithms are considered, and several complexity classes are studied. The most basic randomized complexity class is RP, which is the class of decision
Randomized_algorithm
Interactive proof system in computational complexity theory
In computational complexity theory, an Arthur–Merlin protocol, introduced by Babai (1985), is an interactive proof system in which the verifier's coin
Arthur–Merlin_protocol
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
Complexity of sending information in a distributed algorithm
communication complexity, such as the PR-box, or some noisy PR-boxes satisfying some conditions. One approach to studying randomized communication complexity is
Communication_complexity
Management of public communication of organizations
Public relations (PR) is the practice of managing and disseminating information from an individual or an organization (such as a business, government agency
Public_relations
Algorithm characteristic in computations
In computational complexity theory, the average-case complexity of an algorithm is the amount of some computational resource (typically time) used by the
Average-case_complexity
Concept in probability theory
Pr [ E ] {\textstyle \operatorname {Pr} [E]} be strictly positive in order for the postselection to be well-defined. See also PostBQP, a complexity
Postselection
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
Computational complexity class of problems
In computational complexity theory, bounded-error quantum polynomial time (BQP) is the class of decision problems solvable by a quantum computer in polynomial
BQP
Complexity class from interactive proofs
In computational complexity theory, the class IP (which stands for interactive proof) is the class of problems solvable by an interactive proof system
IP_(complexity)
Multi-winner electoral system
transferable vote (STV) or proportional-ranked choice voting (P-RCV), also known as PR-STV and "proportional representation by means of the single transferable vote"
Single_transferable_vote
Tree-based computer data structure
Bayer, Edward M. McCreight Complexities in big O notation Space complexity Space O ( n ) {\displaystyle O(n)} Time complexity Function Amortized Worst case
B-tree
On collapse of the polynomial hierarchy if NP is in non-uniform polynomial time class
In complexity theory, the Karp–Lipton theorem states that if the Boolean satisfiability problem (SAT) can be solved by Boolean circuits with a polynomial
Karp–Lipton_theorem
Mathematical model of computation
that includes several important complexity classes is allowing for an error probability of 1/3. For instance, the complexity class BPP is defined as the class
Probabilistic_Turing_machine
Probabilistic graphical representation of causal relationships
rule of probability, Pr ( G , S , R ) = Pr ( G ∣ S , R ) Pr ( S ∣ R ) Pr ( R ) {\displaystyle \Pr(G,S,R)=\Pr(G\mid S,R)\Pr(S\mid R)\Pr(R)} where G = "Grass
Bayesian_network
Bounded-error probabilistic polynomial time is contained in the polynomial time hierarchy
In computational complexity theory, the Sipser–Lautemann theorem or Sipser–Gács–Lautemann theorem states that bounded-error probabilistic polynomial (BPP)
Sipser–Lautemann_theorem
Property whereby no efficient algorithm can distinguish two distributions
In computational complexity and cryptography, two families of distributions are computationally indistinguishable if no efficient algorithm can tell the
Computational indistinguishability
Computational_indistinguishability
of complexity classes in computational complexity theory. For other computational and complexity subjects, see list of computability and complexity topics
List_of_complexity_classes
In computational complexity theory, Håstad's switching lemma is a key tool for proving lower bounds on the size of constant-depth Boolean circuits. It
Switching_lemma
Category of nationality rights
6 months, but varies based on the complexity of the case. The processing fee is S$100, which is not refundable. PR status is central to Singapore nationality
Permanent residency in Singapore
Permanent_residency_in_Singapore
American lobbyists, Ukraine has launched a "PR machine," creating a structure of international advertising and PR agencies that actively introduce prepared
Ukrainian information war during Russian invasion of Ukraine
Ukrainian_information_war_during_Russian_invasion_of_Ukraine
Permutation of the elements of a set in which no element appears in its original position
Article 03.1.2. Bibcode:2003JIntS...6...12H – via cs.uwaterloo.ca. de Montmort, P.R. (1713) [1708]. Essay d'analyse sur les jeux de hazard (in French) (Revue
Derangement
Hungarian-American mathematician and computer scientist
his work in reliable computation, randomness in computing, algorithmic complexity, algorithmic probability, and information theory. Peter Gacs attended
Peter_Gacs
Computational problem with high complexity
In computational complexity theory, a nonelementary problem is a problem that is not a member of the class ELEMENTARY. As a class it is sometimes denoted
Nonelementary_problem
Complexity class
In computational complexity theory, PostBQP is a complexity class consisting of all of the computational problems solvable in polynomial time on a quantum
PostBQP
Dopamine reuptake inhibitor
PR-608 is a potent dopamine reuptake inhibitor belonging to the diphenylbutylpiperazine class of agents (related to the diphenylbutylpiperidine class)
PR-000608
2023 studio album by Olivia Rodrigo
tribulations. The album received universal critical acclaim for its lyrical wit, complexity, topicality, aesthetic and energy. Reviews noted both humorous and emotionally
Guts_(album)
Standard for assessing computer system vulnerabilities
access vector (AV) shows how a vulnerability may be exploited. The access complexity (AC) metric describes how easy or difficult it is to exploit the discovered
Common Vulnerability Scoring System
Common_Vulnerability_Scoring_System
Structuring text as input to generative artificial intelligence
r [ Y i | X ~ ∗ X i ] {\displaystyle \arg \max _{\tilde {X}}\sum _{i}\log Pr[Y^{i}|{\tilde {X}}\ast X^{i}]} where X ~ {\displaystyle {\tilde {X}}} ranges
Prompt_engineering
In computational complexity theory and cryptography, averaging argument is a standard argument for proving theorems. It usually allows us to convert probabilistic
Averaging_argument
Algorithm for solving the minimum-cost flow problem
(December 1967). The out-of-kilter algorithm: a primer — Memorandum RM-5472-PR (PDF). Santa Monica, California, USA: The Rand Corporation. Retrieved 2018-01-16
Out-of-kilter_algorithm
Abstract machine that models computation
In computational complexity theory, an interactive proof system is an abstract machine that models computation as the exchange of messages between two
Interactive_proof_system
Independent publisher associated with Princeton University
Series in Astrophysics (David N. Spergel, editor) Princeton Series in Complexity (Simon A. Levin and Steven H. Strogatz, editors) Princeton Series in Evolutionary
Princeton_University_Press
Notion in supervised machine learning
Vapnik–Chervonenkis (VC) dimension is a measure of the size (capacity, complexity, expressive power, richness, or flexibility) of a class of sets. The notion
Vapnik–Chervonenkis_dimension
Function computable with bounded loops
below. The set of primitive recursive functions is known as PR in computational complexity theory. A primitive recursive function takes a fixed number
Primitive_recursive_function
Distribution estimation technique
designing good biased distributions becomes more complicated as the system complexity increases. Complex systems are the systems with long memory since complex
Importance_sampling
Probabilistic primality test
Bayes' law: Pr ( ¬ P ∣ M R k ) = Pr ( ¬ P ∧ M R k ) Pr ( ¬ P ∧ M R k ) + Pr ( P ∧ M R k ) = 1 1 + Pr ( M R k ∣ P ) Pr ( M R k ∣ ¬ P ) Pr ( P ) Pr ( ¬ P )
Miller–Rabin_primality_test
Measure of similarity and diversity between sets
the complexity to O ( k ) {\displaystyle O(k)} , where k {\displaystyle k} is the number of non-zero attributes. # Psuedocode for O(k) complexity function
Jaccard_index
Establishes the limits to possible data compression
dependencies (whose source is not an i.i.d. random variable), the Kolmogorov complexity, which quantifies the minimal description length of an object, is more
Shannon's source coding theorem
Shannon's_source_coding_theorem
1967–1990 state in Western Asia
influence in the region. Additionally, the oil find added a layer of complexity to the already intricate relationship between South and North Yemen, both
South_Yemen
Study of computation
models of computation. The second question is addressed by computational complexity theory, which studies the time and space costs associated with different
Computer_science
Corinnidae): two more examples of spider templates with a large range of complexity in the genitalia". Zool. J. Linn. Soc. 162 (2): 271–350. doi:10.1111/j
List of organisms named after famous people (born 1925–1949)
List_of_organisms_named_after_famous_people_(born_1925–1949)
Class of interactive proof
\}} and Pr ( E P ~ ( x ) ( x ) ∈ W ( x ) ) ≥ Pr ( P ~ ( x ) ↔ V ( x ) → 1 ) − κ ( x ) . {\displaystyle \Pr(E^{{\tilde {P}}(x)}(x)\in W(x))\geq \Pr({\tilde
Proof_of_knowledge
American mathematician and philosopher and proponent of intelligent design
specified complexity and irreducible complexity. The scientific community sees intelligent design—and Dembski's concept of specified complexity—as a form
William_A._Dembski
Mathematical inequality explaining concentration of random variables
non-negative function, then Pr ( X ≥ a ) = Pr ( Φ ( X ) ≥ Φ ( a ) ) ≤ E ( Φ ( X ) ) Φ ( a ) . {\displaystyle \Pr(X\geq a)=\Pr(\Phi (X)\geq \Phi (a))\leq
Concentration_inequality
Russian pseudo-scientist and sect leader
received the "Diploma of Professor" for "Safety of objects of extreme complexity" from the Russian federation, a Doctor of Engineering Sciences diploma
Grigori_Grabovoi
Dimensional–categorical hybrid model of personality disorders
diagnoses". Contrary to the aforementioned concern regarding possible complexities introduced by the AMPD, ease of use has also been described as being
Alternative DSM-5 model for personality disorders
Alternative_DSM-5_model_for_personality_disorders
2024 video game
gameplay mechanics and visuals, but sentiment towards its story and design complexity was more mixed. Unicorn Overlord is a tactical role-playing game in which
Unicorn_Overlord
Sequence of DNA that determines traits in an organism
definitions can be more broadly applicable than others, the fundamental complexity of biology means that no definition of a gene can capture all aspects
Gene
and reported on the ongoing HPV vaccine litigation, highlighting the complexity of medical evidence, psychosocial factors, and public perception surrounding
HPV_vaccination_in_Japan
endeavours (i.e., projects) characterized by large investment commitment, vast complexity (especially in organisational terms), and long-lasting impact on the economy
List_of_megaprojects_in_India
Algorithm to multiply two numbers
by every digit in the second and adding the results. This has a time complexity of O ( n 2 ) {\displaystyle O(n^{2})} , where n is the number of digits
Multiplication_algorithm
Psychological instrument
(TS). There are two versions of TODS: TODS-CR (clinician-rated) and TODS-PR (parent-rated). Each version is a 15-item scale that helps clinicians evaluate
Tourette's_Disorder_Scale
One of several equivalent definitions of a computable function
functions with values in {0,1} is known in computational complexity theory as the complexity class R. The μ-recursive functions (or general recursive
General_recursive_function
Most of those companies have subsequently disappeared, as the increasing complexity of GPUs substantially increased research and development costs. Many of
List of graphics chips and card companies
List_of_graphics_chips_and_card_companies
Function used in computer cryptography
"easy" and "hard" are to be understood in the sense of computational complexity theory, specifically the theory of polynomial time problems. This has
One-way_function
Intellectual capacity of cetaceans
from the more commonly found spindle cells. Elephant brains also show a complexity similar to dolphin brains, and are also more convoluted than that of humans
Cetacean_intelligence
operations in Fq using fast methods. In the algorithms that follow, the complexities are expressed in terms of number of arithmetic operations in Fq, using
Factorization of polynomials over finite fields
Factorization_of_polynomials_over_finite_fields
8-speed automatic from 2008
to 0.2 seconds. In order to avoid a further increase in manufacturing complexity while expanding the number of gear ratios, ZF switched from the conventional
ZF_8HP_transmission
Free online crowdsourced encyclopedia
with certainty. New editors often struggle to understand Wikipedia's complexity. Experienced editors are encouraged not to "bite" the newcomers in order
Wikipedia
Inequality in information theory
"A short note on an inequality between KL and TV". arXiv:2202.07198 [math.PR]. Lattimore, Tor; Szepesvari, Csaba (2020). Bandit Algorithms (PDF). Cambridge
Bretagnolle–Huber_inequality
Genus of hominin ancestral to modern humans
Bower, Bruce (May 20, 2006). "Hybrid-Driven Evolution: Genomes show complexity of human-chimp split". Science News. 169 (20): 308–309. doi:10.2307/4019102
Australopithecus
Coordinated dissemination of false information
S2CID 258758377. Glisson, Lane (2019). "Breaking the Spin Cycle: Teaching Complexity in the Age of Fake News". Portal: Libraries and the Academy. 19 (3): 461–484
Disinformation_attack
Slovenian-American actor (born 1957)
17, 2008. Levin, Gary (January 5, 2009). "'Damages' returns in all its complexity." USA Today. p. 01D. Retrieved via Biography In Context database, November
Željko_Ivanek
Tree data structure that partitions a 2D area
usually expressed as x, y coordinates value; for example a name Point-region (PR) quadtrees are very similar to region quadtrees. The difference is the type
Quadtree
War between Mexico's government and various drug trafficking syndicates
Archived from the original on May 8, 2012. Retrieved May 6, 2012. "Complexities and conveniences in the international drug trade: the involvement of
Mexican_drug_war
voting systems that extends the property of proportional representation (PR) by requiring that the representation be based on the entire preferences of
Fully proportional representation
Fully_proportional_representation
Panoramic film format
technology has been rarely produced for Hollywood studio films due to the complexity of the additional CGI work as side footage. Lee Jae-seon, who collaborated
ScreenX
2005 film by Steven Spielberg
bodies, and considering it could not be fully digital due to both the complexity of the effect and the schedule, live-action dust was used alongside the
War_of_the_Worlds_(2005_film)
American space opera television series (1994–1998)
science fiction series. Babylon 5 has been praised for its depth and complexity against a backdrop of contemporary shows which largely lacked long-term
Babylon_5
Logical formulation of graph properties
sentences having probabilities tending to zero or to one. The computational complexity of determining whether a given sentence has probability tending to zero
Logic_of_graphs
Animal behavior scientist
Hanser SF. (2002). Using information theory to assess the diversity, complexity and development of communicative repertoires. Journal of Comparative Psychology
Brenda_McCowan
Personality model consisting of five broad dimensions
HEXACO, supplement the Big 5 traits with additional variables, trading off complexity for model fit. The Big Five model originated from the lexical hypothesis
Big_Five_personality_traits
United States & Canadian telephone number for emergencies
theorized that one source of reluctance to call police was due to the complexity of doing so; any calls to the police would go to a local precinct, and
911 (emergency telephone number)
911_(emergency_telephone_number)
Lagerstätte (Cambrian Stage 4), South China: Implications for community complexity and geographic variation". Global and Planetary Change. 245 104641. Bibcode:2025GPC
List_of_lagerstätten
Fictional character from Guilty Gear
in Play magazine's "Girls of Gaming" periodicals, which praised the complexities of her character and the enigma around her, thought stated "does it really
I-No
Random process independent of past history
chains are processes where Pr ( X n + 1 = x ∣ X n = y ) = Pr ( X n = x ∣ X n − 1 = y ) {\displaystyle \Pr(X_{n+1}=x\mid X_{n}=y)=\Pr(X_{n}=x\mid X_{n-1}=y)}
Markov_chain
Early medieval cultural group in Britain
Volume I, Chapter 1. Reynolds, Andrew. "Judicial culture and social complexity: a general model from Anglo-Saxon England." World Archaeology ahead-of-print
Anglo-Saxons
Algorithm for generating prime numbers
operations. (The array can also be used to store the set Pr "for free".) Therefore the time complexity of the sieve of Pritchard to calculate the primes up
Sieve_of_Pritchard
up. The notion of list-decoding has many interesting applications in complexity theory. The way the channel noise is modeled plays a crucial role in that
List_decoding
Anti-establishment cultural phenomenon
Fluxus encouraged a "do-it-yourself" aesthetic, and valued simplicity over complexity. Like Dada before it, Fluxus included a strong current of anti-commercialism
Counterculture_of_the_1960s
Problematic excessive alcohol consumption
PMID 23584115. Morgan-Lopez AA, Fals-Stewart W (May 2006). "Analytic complexities associated with group therapy in substance abuse treatment research:
Alcoholism
Edge-matching puzzle
"Jigsaw Puzzles, Edge Matching, and Polyomino Packing: Connections and Complexity" (PDF). Retrieved 12 August 2007. "LGR – TetraVex and the Unsolvable Puzzle"
Eternity_II_puzzle
bone region, the compliance of the torso is significantly lower. This complexity requires very elaborate bio-morphic backing material systems for accurate
List of body armor performance standards
List_of_body_armor_performance_standards
Annual music and arts festival in Indio, California
said, "I think the level of detail and finish and artistry and scale and complexity and technology, everything is constantly getting notched up, ratcheted
Coachella
American semiconductor company
as well as GPT-J 6B, GPT-3 13B, and GPT-NeoX 20B with reduced software complexity and infrastructure. In August 2022, the Computer History Museum in Mountain
Cerebras_Systems
Poisonous and flammable gas
(2013). "The Rediscovery of a Long Described Species Reveals Additional Complexity in Speciation Patterns of Poeciliid Fishes in Sulfide Springs". PLOS ONE
Hydrogen_sulfide
South Korean actress (born 1996)
Ha Sang-soo (portrayed by Yoo Yeon-seok) who introduces new emotional complexity to her life. In February 2024, Moon debuted as an author with the publication
Moon_Ga-young
Series of I6 and V8 engines built by Chrysler
make it effective, efficient, and reliable at an acceptable cost. This complexity was referenced early in Chrysler's development of their 1950s hemi engine:
Chrysler_Hemi_engine
English actress (born 1985)
praised;The Independent noted that Knightley "gives Vera an independence and complexity that's aeons ahead", while the Los Angeles Times wrote "the film belongs
Keira_Knightley
Chemical element with atomic number 59 (Pr)
[green] 2 Pr (s) + 3 Cl2 (g) → 2 PrCl3 (s) [green] 2 Pr (s) + 3 Br2 (g) → 2 PrBr3 (s) [green] 2 Pr (s) + 3 I2 (g) → 2 PrI3 (s) tetrafluoride, PrF4, is also
Praseodymium
American singer and songwriter (born 1966)
the expression of a fully-formed human being with contradictions and complexities." Jackson's music encompasses a broad range of genres, including R&B
Janet_Jackson
American satire news organization
S2CID 149307551. Fife, Jane (2016). "Peeling The Onion : Satire and the Complexity of Audience Response". Rhetoric Review. 35 (4): 322–334. doi:10.1080/07350198
The_Onion
Head movement in rodents upon 5-HT2A receptor activation
confounds and caveats to this potential use of HTR data, related to the complexities of HTR as a pharmacodynamic readout; for example, as a function of off-target
Head-twitch_response
American financial columnist (born 1978)
financial news site Dealbreaker. There, he wrote about the "deals, scandals, complexities and personalities of the financial services industry." His analysis of
Matt_Levine_(columnist)
PR COMPLEXITY
PR COMPLEXITY
Surname or Lastname
English
English : occupational name for a priest’s servant, from Middle English pr(i)est ‘priest’, ‘minister’ + man ‘man’.Jewish (Ashkenazic) : occupational name for someone who did ironing and pressing of clothes, from Yiddish pres ‘flat iron’ + man ‘man’.
Girl/Female
American, Australian, British, Chinese, Christian, Danish, English, French, German, Gujarati, Indian, Italian, Jamaican, Kannada, Latin, Portuguese, Tamil
Warlike; From the God Mars; Dedicated to Mars; Protector of Man; Martial One; War Like; Defence; Of the Sea; Pr
Surname or Lastname
English (mainly West Midlands)
English (mainly West Midlands) : from Middle English pr(i)est ‘minister of the Church’ (Old English prēost, from Latin presbyter, Greek presbyteros ‘elder’, ‘counselor’, comparative of presbys ‘old man’), used as a nickname, either for someone with a pious manner or possibly for someone who had played the part of a priest in a pageant. It may also have been an occupational name for someone in the service of a priest, and occasionally it may have been used to denote someone suspected of being the son of a priest.A John Priest is recorded as being in Woburn, MA, as early as 1675. The Mayflower Pilgrim Digory Priest of Holland died the first winter at Plymouth in 1620, leaving behind a widow who remarried and two daughters, who did not pass on the family name.
PR COMPLEXITY
PR COMPLEXITY
Boy/Male
Norse
Father of Thord.
Girl/Female
Indian
Cheerful; Friendly
Girl/Female
Indian
God
Surname or Lastname
Dutch and Scandinavian
Dutch and Scandinavian : from a short form of the personal name Lambrecht or Lempert (see Lambert).English : probably a variant of Lim (see Lui).Southeast Asian : unexplained.
Surname or Lastname
English and Jewish (Ashkenazic)
English and Jewish (Ashkenazic) : occupational name for a worker at a mill, from Middle English mille ‘mill’ + man ‘man’, Yiddish mil + man.
Girl/Female
Indian, Telugu
Name of Goddess Parvati; Queen
Boy/Male
Hindu, Indian, Punjabi, Sikh, Traditional
Of Beauteous Form
Boy/Male
Australian, Finnish, French, German, Irish, Swedish
Brave Adviser; Strong; Wild; Steadfast; Brave; Strong Willed; Wise; Constant; Diminutive of Conrad
Girl/Female
Afghan, Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu
A Song; Melody
Boy/Male
Tamil
Rising, Place of origin, Source, Beginning
PR COMPLEXITY
PR COMPLEXITY
PR COMPLEXITY
PR COMPLEXITY
PR COMPLEXITY
t
ing (p. pr. & vb. n.) of Wit
imp. & p. p. Adored
/); p. pr. & vb. n.) of Adore
n.
An instrument for determining the dip of beds or strata, pr the slope of an embankment or cutting; a kind of plumb level.
n.
A position or condition which affords entrance, control, pr possession, etc.; as, the key of a line of defense; the key of a country; the key of a political situation. Hence, that which serves to unlock, open, discover, or solve something unknown or difficult; as, the key to a riddle; the key to a problem.
n.
The quality pr state of being vehement; impetuous force; impetuosity; violence; fury; as, the vehemence.
p. pr.
of Shet
imp. & p. p. Fenced
/); p. pr. & vb. n.) of Fence
n.
One who asserts; one who avers pr maintains; an assertor.
superl.
Being in the first part, pr period, of growth; as, a young plant; a young tree.
v. t.
To make a plot, map, pr plan, of; to mark the position of on a plan; to delineate.
v. t.
To set pr place wrongly.
n.
Difficult delivery pr parturition.