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Compound operation in relational databases
The recursive join is an operation used in relational databases, also sometimes called a "fixed-point join". It is a compound operation that involves repeating
Recursive_join
queries are a specific kind of recursive query in graph databases Deductive databases Hierarchical model Recursive join Reachability Transitive closure
Hierarchical and recursive queries in SQL
Hierarchical_and_recursive_queries_in_SQL
Higher-order function Y for which Y f = f (Y f)
describe specific types of recursive computations, such as those in fixed-point iteration, iterative methods, recursive join in relational databases, data-flow
Fixed-point_combinator
Topics referred to by the same term
point, a benchmark (surveying) used by geodesists Fixed point join, also called a recursive join Fixed point, in quantum field theory, a coupling where the
Fixed_point
Algorithm used in relational databases
does not fit into the available memory, in which case the algorithm is recursively applied: an additional orthogonal hash function is chosen to hash the
Hash_join
Way of setting up and executing parallel computer programs
in the program, to "join" (merge) at a subsequent point and resume sequential execution. Parallel sections may fork recursively until a certain task
Fork–join_model
Algorithms which recursively solve subproblems
conquer is an algorithm design paradigm. A divide-and-conquer algorithm recursively breaks down a problem into two or more sub-problems of the same or related
Divide-and-conquer_algorithm
Random search tree data structure
Moreover, since the recursive calls to union are independent of each other, they can be executed in parallel. Split and Union call Join but do not deal with
Treap
Hypothesized risk to human existence
human lives. Researchers warn that an "intelligence explosion"—a rapid, recursive cycle of AI self-improvement—could outpace human oversight and infrastructure
Existential risk from artificial intelligence
Existential_risk_from_artificial_intelligence
Computer network architecture proposal
The Recursive InterNetwork Architecture (RINA) is a new computer network architecture proposed as an alternative to the architecture of the currently
Recursive Internetwork Architecture
Recursive_Internetwork_Architecture
Rendering method
fidelity, ray tracing-based rendering techniques, such as ray casting, recursive ray tracing, distribution ray tracing, photon mapping and path tracing
Ray_tracing_(graphics)
Curve used in computer graphics and related fields
with these properties. Bézier curves can be defined for any degree n. A recursive definition for the Bézier curve of degree n expresses it as a point-to-point
Bézier_curve
Measure of unsolvability
⟨ ≤, = ⟩. A degree is called recursively enumerable (r.e.) or computably enumerable (c.e.) if it contains a recursively enumerable set. Every r.e. degree
Turing_degree
American artificial intelligence company
an IPO "within the next year" and that the faster the company develops recursive self-improvement, "the more it could be advantageous to delay an IPO"
OpenAI
AI researcher and entrepreneur
infrastructure company, and co-founder and CEO of Recursive Superintelligence, a company pursuing recursive self-improvement. He is also a co-founder and
Richard_Socher
Algorithm that estimates unknowns from a series of measurements over time
more weight given to estimates with greater certainty. The algorithm is recursive. It can operate in real time, using only the present input measurements
Kalman_filter
Social media app
launched in June 2025 by Recursive Methods Pty Ltd. It was founded by Issam Hijazi. UpScrolled was launched in June 2025 by Recursive Methods Pty Ltd. It was
UpScrolled
Mathematical proposition equivalent to the axiom of choice
is defined using transfinite recursion. It is exactly like the usual recursive definition of a sequence but runs over ordinals. A key difference is that
Zorn's_lemma
Statement that is taken to be true
context of Gödel's first incompleteness theorem, which states that no recursive, consistent set of non-logical axioms Σ {\displaystyle \Sigma } of the
Axiom
Mathematical concept for comparing objects
order relations. The arguments of the lattice theory operations meet and join are elements of some universe A. Meanwhile, the arguments of the transformation
Equivalence_relation
Automated methods for the creation of mazes
and one for the exit, are removed. This algorithm, also known as the "recursive backtracker" algorithm, is a randomized version of the depth-first search
Maze_generation_algorithm
Rooted binary tree data structure
pseudocode implements the BST search procedure through recursion. The recursive procedure continues until a nil {\displaystyle {\text{nil}}} or the key
Binary_search_tree
Large number coined by Ronald Graham
computable recursive formulas using Knuth's up-arrow notation or equivalent, as was done by Ronald Graham, the number's namesake. As there is a recursive formula
Graham's_number
Finite, ordered collection of items
well-defined, since they're applied to progressively deeper arguments at each recursive call. The list type is an additive monad, with nil as the monadic zero
List_(abstract_data_type)
Compiler-compiler
In computing, TMG (Transmogrifier) is a recursive descent compiler-compiler developed by Robert M. McClure and presented in 1965. TMG ran on systems including
TMG_(language)
and return a tree containing all selected entries. It recursively filters the two subtrees, and join them with the root if the root satisfies p {\displaystyle
Join-based_tree_algorithms
Concept in computer science
[citation needed] A closely related "where" clause, together with its recursive variant "where rec", appeared already in Peter Landin's The mechanical
Let_expression
Algorithm for listing maximal cliques
same search tree. The basic form of the Bron–Kerbosch algorithm is a recursive backtracking algorithm that searches for all maximal cliques in a given
Bron–Kerbosch_algorithm
Graph formed by complementation and disjoint union
Alternatively, instead of using the complement operation, one can use the join operation, which consists of forming the disjoint union G ∪ H {\displaystyle
Cograph
Mathematical puzzle game
of disks is even and peg C if it is odd. The key to solving a problem recursively is to recognize that it can be broken down into a collection of smaller
Tower_of_Hanoi
Free and open-source object relational database management system
Views Materialized views Updateable views Recursive views Inner, outer (full, left, and right), and cross joins Sub-selects Correlated sub-queries Regular
PostgreSQL
Infinitely recursive poem or song
"Yon Yonson" or "Jan Jansen" is an infinitely recursive folk song, most popular in the midwestern United States. The song being set in Wisconsin is a
Yon_Yonson
Formal power series
two finite-degree polynomials) if and only if the sequence is a linear recursive sequence with constant coefficients; this generalizes the examples above
Generating_function
Internet ecosystem layer that addresses bottlenecks
availability and cost. Traditionally, CDNs have used the IP of the client's recursive DNS resolver to geo-locate the client. While this is a sound approach
Content_delivery_network
Mathematical technique used in proof theory
being analyzed, for example characterizations of the classes of provably recursive, hyperarithmetical, or Δ 2 1 {\displaystyle \Delta _{2}^{1}} functions
Ordinal_analysis
Type of binary relation
called transfinite induction. When the well-founded set is a set of recursively defined data structures, the technique is called structural induction
Well-founded_relation
Australian psychologist (born 1958)
and the safety of vaccines. On 28 March 2013, Lewandowsky published "Recursive fury: Conspiracist ideation in the blogosphere in response to research
Stephan_Lewandowsky
Smallest transitive relation containing a given binary relation
declarative query. The SQL 3 (1999) standard added a more general WITH RECURSIVE construct also allowing transitive closures to be computed inside the
Transitive_closure
1994 film by Quentin Tarantino
between the intricate plot mechanics and twists of Brown's novels and the recursive, interweaving structure of Pulp Fiction. Philip French describes the film's
Pulp_Fiction
Divide and conquer sorting algorithm
parallelization of those recursive calls. Following pseudocode describes the merge sort with parallel recursion using the fork and join keywords: // Sort elements
Merge_sort
Well-quasi-ordering of finite trees
as a function of n {\displaystyle n} , far faster than any primitive recursive function or the Ackermann function, for example.[citation needed] The
Kruskal's_tree_theorem
American mathematician (1909–1994)
introduction to intuitionistic logic and mathematical intuitionism. [...] recursive function theory is of central importance in computer science. Kleene is
Stephen_Cole_Kleene
Default package manager for the JavaScript runtime environment Node.js
understood to be an abbreviation of "Node Package Manager", it is officially a recursive backronymic abbreviation for "npm is not an acronym". npm can manage packages
Npm
Diagram that represents a workflow or process
flowcharts are not well-suited for new programming techniques such as recursive programming. Nevertheless, flowcharts were still used in the early 21st
Flowchart
Theoretical physicist and artificial intelligence researcher
The Guardian published an interview with Kaplan about AI autonomy and recursive self-improvement timelines. Kaplan was a Hertz Fellow (2005). He has also
Jared_Kaplan
Chinese text-to-video model
United States". The New York Times. Retrieved 20 September 2025. "ByteDance joins OpenAI's Sora rivals with AI video app launch". Reuters. 6 August 2024.
Kling_AI
American AI researcher and writer (born 1979)
In the intelligence explosion scenario hypothesized by I. J. Good, recursively self-improving AI systems quickly transition from subhuman general intelligence
Eliezer_Yudkowsky
Declarative logic programming language
ancestor of? For this example, it would return brooke and damocles. The non-recursive subset of Datalog is closely related to query languages for relational
Datalog
Mathematical logician and philosopher
the ideas of computability and recursive functions to the point where he was able to present a lecture on general recursive functions and the concept of
Kurt_Gödel
Number, approximately 1.618
= 1 + 1 / φ {\displaystyle \varphi =1+1/\varphi } can be expanded recursively to obtain a simple continued fraction for the golden ratio: φ = [ 1 ;
Golden_ratio
Electrical engineer and computer scientist
Whitted is an electrical engineer and computer scientist who introduced recursive ray tracing to the computer graphics community with his 1979 paper "An
J._Turner_Whitted
Technique used in relational databases
faster option for databases which lack native recursive query constructs, such as MySQL 5.x. However, recursive SQL queries can be expected to perform comparably
Nested_set_model
Self-balancing binary search tree data structure
divide-and-conquer implementation of the join-based algorithm for bulk-insert. Both recursive calls can be executed in parallel. The join operation used here differs
Red–black_tree
Self-balancing binary search tree
of the tree. If the tree is not empty, then we go down the root, and recursively go down the tree searching for the location to insert the new node. This
AVL_tree
Branch of machine learning
of as probabilistic context free grammar (PCFG) implemented by an RNN. Recursive auto-encoders built atop word embeddings can assess sentence similarity
Deep_learning
German polymath and scholar (1777–1855)
Adrien-Marie Legendre published it. Gauss also introduced the algorithm known as recursive least squares. Gauss led the geodetic survey of the Kingdom of Hanover
Carl_Friedrich_Gauss
French philosopher and sociologist (1921–2026)
Hologrammatic principle: Each part of a system contains the whole in some way. Recursive organization: Feedback loops between systems and their components. Morin’s
Edgar_Morin
understanding, and to serve as a platform about artificial intelligence. Apple joined in January 2017. The corporate members will make financial and research
Ethics of artificial intelligence
Ethics_of_artificial_intelligence
Video game publisher
Retrieved September 4, 2020. Wales, Matt (February 8, 2021). "Annapurna's recursive puzzle adventure Maquette gets March release date". Eurogamer. Archived
Annapurna_Interactive
JavaScript JCL JEAN Jess Join Java JOSS Joule JOVIAL Joy jq JScript JScript .NET Julia Jython K Kaleidoscope Karel KEE Kent Recursive Calculator (KRC) KiXtart
List_of_programming_languages
Vietnamese-American computer scientist and applied mathematician
learning and notable for proposing and developing the SARAH stochastic recursive gradient method. He is a Research Scientist at the IBM Research, Thomas
Lam_Nguyen
Mathematical system
m[Sm=n]].} ("every natural number is zero or a successor") Addition defined recursively: ∀ m [ m + 0 = m ] . {\displaystyle \forall m[m+0=m].} ∀ m ∀ n [ m +
Second-order_arithmetic
AI that generates content
Anderson, Ross; Gal, Yarin (July 2024). "AI models collapse when trained on recursively generated data". Nature. 631 (8022): 755–759. Bibcode:2024Natur.631.
Generative_AI
Web browser made by Mozilla
user must set certain preferences beginning with "network.trr" (Trusted Recursive Resolver) in about:config: if network.trr.mode is 0, DoH is disabled;
Firefox
Framework for communication protocols used in IP networking
the forwarding process of routers. IETF protocols can be encapsulated recursively, as demonstrated by tunnelling protocols such as Generic Routing Encapsulation
Internet_protocol_suite
General-purpose functional programming language
(* corners *) Note that a type synonym cannot be recursive; datatypes are necessary to define recursive constructors. (This is not at issue in this example
Standard_ML
Two human rights organizations based in Argentina and Guatemala
HIJOS is a recursive acronym for Hijas e Hijos por la Identidad y la Justicia contra el Olvido y el Silencio (English: Daughters and Sons for Identity
HIJOS
Domain name system provided by Cisco
supports the DNSCurve secure protocol. OpenDNS provides the following recursive nameserver addresses for public use, mapped to the nearest operational
OpenDNS
Image-generating machine learning model
com. Retrieved July 10, 2024. Huang, Yenkai (May 10, 2024). Latent Auto-recursive Composition Engine (M.S. Computer Science thesis). Dartmouth College.
Stable_Diffusion
New company developing a novel, scalable business
from Tel Aviv: What Has Fueled Israel's Startup Ecosystem's Growth". TheRecursive.com. Retrieved 2024-06-25. "Nearly 1 in 4 new startups is an AI company"
Startup_company
Australian-American computer scientist (born 1965)
artificial neural networks including the transformer; tree-structured recursive neural networks; and approaches to and systems for textual entailment
Christopher_D._Manning
Algebraic manipulation of "true" and "false"
Whitespace is used to specify logical AND, as it is the default operator for joining search terms: "Search term 1" "Search term 2" The OR keyword is used for
Boolean_algebra
Species of hominid in the genus Homo
only animals known to teach generalizable information, innately deploy recursive embedding to generate and communicate complex concepts, engage in the
Human
Set whose elements all belong to another set
given set form a Boolean algebra under the subset relation, in which the join and meet are given by intersection and union, and the subset relation itself
Subset
Scripting language created in 1994
originally an abbreviation of Personal Home Page, but it now stands for the recursive backronym PHP: Hypertext Preprocessor. PHP code is usually processed on
PHP
ISO 4396 Telecommunications and information exchange between systems — Recursive inter-network architecture [Original DPR with this number related to fluid
List of ISO standards 3000–4999
List_of_ISO_standards_3000–4999
American scientist (1927–2011)
logic programming. In the late 1950s, McCarthy discovered that primitive recursive functions could be extended to compute with symbolic expressions, producing
John McCarthy (computer scientist)
John_McCarthy_(computer_scientist)
Probability distribution
variable. The split normal distribution is most directly defined in terms of joining scaled sections of the density functions of different normal distributions
Normal_distribution
1995 film by Kim Henkel
film scholars have noted the film's prominent elements of parody and recursiveness. In the years since its release, the film has gone on to develop a small
The Return of the Texas Chainsaw Massacre
The_Return_of_the_Texas_Chainsaw_Massacre
Video game character
trajectory. The current Flame-Chase Journey is already the 33,550,336th recursive loop of the cycle involving Phainon's generation. Before this loop known
Phainon_(Honkai:_Star_Rail)
Word that contains letters of another word, in order, with the same meaning
151, during the 1950s, later reprinted in Reader's Digest. RAS syndrome Recursive acronym Tautology (language) Look up examples of kangaroo words in Wiktionary
Kangaroo_word
Structured system of communication
exceedingly complex meanings. It is distinguished by the property of recursivity: for example, a noun phrase can contain another noun phrase (as in "[[the
Language
Video compression format, succeeds H.264/MPEG-4 AVC
8×8, 16×16, and 32×32 to code the prediction residual. A CTB may be recursively partitioned into 4 or more TUs. TUs use integer basis functions based
High_Efficiency_Video_Coding
Collection of mathematical objects
the additive inverse. The powerset is also a Boolean algebra for which the join ∨ {\displaystyle \lor } is the union ∪ {\displaystyle \cup } , the
Set_(mathematics)
Characters of 2023 role-playing video game
cycle of endless destruction. He provokes and endures a self-imposed recursive time loop of his world to prevent Amphoreus's decay and a cosmic catastrophe
List of Honkai: Star Rail characters
List_of_Honkai:_Star_Rail_characters
Cornell writes, "Masturbation, if it is wrong, is wrong because it is recursive. It fails to ramify communion between people. Similarly, in Rowan Williams'
Christian views on masturbation
Christian_views_on_masturbation
Family of birds
Schuppe ER, Fuxjager MJ (2020). "Selection for Rhythm as a Trigger for Recursive Evolution in the Elaborate Display System of Woodpeckers". The American
Woodpecker
Data structures used in spatial indexing
child node has to be searched also. Searching is done like this in a recursive manner until all overlapping nodes have been traversed. When a leaf node
R-tree
Doughnut-shaped surface of revolution
corrugations decreasing faster than their "wavelengths". (These infinitely recursive corrugations are used only for embedding into three dimensions; they are
Torus
Country in West Asia
from Tel Aviv: What Has Fueled Israel's Startup Ecosystem's Growth". TheRecursive.com. Retrieved 22 October 2023. "Israel: Start-up nation comes of age"
Israel
2021 comedy special by Bo Burnham
Mr. Show with Bob and David (1995–1998), but Burnham further uses the recursive format as a way to portray his insecurities. IndieWire's Eric Kohn said
Bo_Burnham:_Inside
American-Canadian speculative fiction novelist (born 1948)
2007 interview, Gibson revealed that Sterling had an idea for "a second recursive science novel that was just a wonderful idea", but that Gibson was unable
William_Gibson
1969 non-fiction book by G. Spencer-Brown
interpretations include finite automata and Alonzo Church's Restricted Recursive Arithmetic (RRA). "Boundary algebra" is a Meguire (2011) term for the
Laws_of_Form
Decade of the Gregorian calendar (1990–1999)
seemed fashionably left-wing. In 1996 the Postmodernism Generator used a recursive transition network to imitate the postmodernist style of humanities writing
1990s
French playwright and actor (1622–1673)
father a "diagnosis" which consists of strings of gibberish, dog latin and recursive explanations which conclude with an authoritative "and so that is why
Molière
Markup language and file format
sequence using the iterator design pattern. This allows for writing of recursive descent parsers in which the structure of the code performing the parsing
XML
Programming language with English-like syntax
of this limitation is that PERFORM cannot be used to write recursive code. To write recursive routines, one must use a nested subprogram. Another simple
COBOL
Design pattern in functional programming to build generic types
does actually have valid uses though, such as providing a base case for recursive monad transformers. It can also be used to perform basic variable assignment
Monad (functional programming)
Monad_(functional_programming)
PMC 10700131. PMID 38030720. Peplow, Mark (29 November 2023). "Google AI and robots join forces to build new materials". Nature. doi:10.1038/d41586-023-03745-5. PMID 38030771
Applications of artificial intelligence
Applications_of_artificial_intelligence
Israeli cryptographer (born 1952)
(archived 2016-11-11) Shamir, Adi (October 1976). The fixedpoints of recursive definitions. Weizmann Institute of Science. OCLC 884951223. Adi Shamir
Adi_Shamir
RECURSIVE JOIN
RECURSIVE JOIN
Girl/Female
Tamil
Sanyakta | ஸஂயகà¯à®¤à®¾
Joined, United
Sanyakta | ஸஂயகà¯à®¤à®¾
Boy/Male
Muslim
United, Joined, Together
Surname or Lastname
English
English : variant spelling of Joiner.
Surname or Lastname
English
English : habitational name from any of various places named from Old English scypen, scipen ‘cattleshed’, such as Shippen in West Yorkshire and Shippon in Berkshire, or a topographic name derived directly from the vocabulary word. In some cases it may originally have been acquired as a metonymic occupational name for a cowman, who in medieval times would often have lived in the same building as his animals.Born in Methley, Yorkshire, England, in 1639, Edward Shippen emigrated to Boston, MA, in 1668. He joined the Society of Friends and moved his family and business to Philadelphia in about 1694 to avoid religious persecution, eventually becoming mayor of Philadelphia, where his sons and grandsons continued to be prominent.
Surname or Lastname
German and Jewish (Ashkenazic)
German and Jewish (Ashkenazic) : occupational name for a joiner, from a word of Slavic origin. Compare Polish Stolarz.German (Switzerland and Upper Rhine) : habitational name for someone from a place called Stolle, near Zurich (now called Stollen).English : occupational name for a stole maker, from an agent derivative of Middle English stole ‘stole’.
Surname or Lastname
English
English : presumably from Old French joint ‘united’, ‘joined’. The application as a surname is unclear.
Boy/Male
Indian
Searcher
Girl/Female
Tamil
Put together, Joined, Union, Who wants good for every one
Girl/Female
Tamil
Samhitha | ஸமà¯à®¹à¯€à®Ÿà®¾Â
Put together, Joined, Union, Who wants good for every one
Samhitha | ஸமà¯à®¹à¯€à®Ÿà®¾Â
Girl/Female
Muslim
Gods gift
Surname or Lastname
Americanized spelling of German Discher ‘joiner’.English
Americanized spelling of German Discher ‘joiner’.English : occupational name for a maker or seller of dishes, from an agent derivative of Old English disc ‘dish’.Possibly a respelling of any of the names mentioned at Deshaw.
Boy/Male
Muslim
Searcher
Surname or Lastname
English
English : probably a variant of Jones. Compare Joynes.
Boy/Male
Tamil
Vibhishana | விபீஷண
(Ravana's brother who leaves Lanka to join Rama and later become king of Lanka)
Vibhishana | விபீஷண
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : occupational name from Old French tablier ‘joiner’.
Girl/Female
Tamil
Sangamidhira | ஸஂகமீதீராÂ
Join
Sangamidhira | ஸஂகமீதீராÂ
Surname or Lastname
English
English : variant of Warwick.English : metonymic occupational name for a maker of warrocks, wedges of timber that were used to tighten the joints in a scaffold.
Surname or Lastname
English
English : probably a variant of Jones. Compare Joines.
Surname or Lastname
English
English : patronymic from the personal name Roger.Thomas Rogers (c.1587–1621), born in London, England, was among the Pilgrim Fathers who sailed on the Mayflower in 1620. He died during the first winter at Plymouth Colony, but his son Joseph survived and married, and was later joined in MA by his brother John. This name was subsequently brought to North America independently by many different bearers.
Surname or Lastname
English
English : occupational name for a maker of wooden furniture, Anglo-Norman French joignour (Old French joigneor, from joinre ‘to join’, ‘to connect’, Latin iungere).
RECURSIVE JOIN
RECURSIVE JOIN
Female
Arthurian
, the curveter.
Boy/Male
Indian, Punjabi, Sikh
Victory of Devotion
Boy/Male
Tamil
Shreerang | à®·à¯à®°à¯€à®°à®‚க
Another name of Lord Vishnu
Boy/Male
Latin
Fidde.
Girl/Female
Indian, Punjabi, Sikh
A Brave One who Sings God's Praises
Surname or Lastname
English
English : from Middle English kinnesman, ‘kinsman’, ‘relative’, probably denoting a kinsman of some important noble or royal personage.
Girl/Female
Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
New Leaves; Bud
Girl/Female
Arabic, Muslim, Sindhi
Pretty
Surname or Lastname
English
English : from the personal name Toby (see Tobias).
Boy/Male
Danish, German, Slavic, Swedish
Great Glory; Glorious Garland
RECURSIVE JOIN
RECURSIVE JOIN
RECURSIVE JOIN
RECURSIVE JOIN
RECURSIVE JOIN
a.
Going back; receding.
n.
That which causes revulsion; specifically (Med.), a revulsive remedy or agent.
a.
Preceding; introductory; precursory.
n.
The act of recurring; return.
a.
Flowing; easy; cursive; as, a running hand.
a.
Affording retirement from society.
v. t.
Causing revulsion; revulsive.
a.
Cold; forbidding; offensive; as, repulsive manners.
a.
Causing, or tending to, revulsion.
a.
Prone to make excursions; wandering; roving; exploring; as, an excursive fancy.
a.
Not amiable; morose; ill-natured; repulsive.
a.
Making an incursion; invasive; aggressive; hostile.
a.
Running down; decurrent.
n.
A character used in cursive writing.
adv.
In a decursive manner.
a.
Manifesting distaste or dislike; repulsive.
a.
Repulsive by itself; as, the idiorepulsive power of heat.
a.
Serving, or able, to repulse; repellent; as, a repulsive force.
n.
A revulsive medicine.
a.
Repulsive; driving back.