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Data type that refers to itself in its definition
programming, a recursive data type is a data type whose definition contains values of the same type. It is also known as a recursively defined, inductively
Recursive_data_type
Concept in functional programming
a generalized algebraic data type (GADT, also first-class phantom type, guarded recursive datatype, or equality-qualified type) is a generalization of
Generalized algebraic data type
Generalized_algebraic_data_type
Attribute of data
indicating its current type for enhanced type safety. An algebraic data type (ADT) is a possibly recursive sum type of product types. A value of an ADT consists
Data_type
Data type defined by combining other types
programming and type theory, an algebraic data type (ADT) is a composite data type, i.e. a type formed by combining other types. An algebraic data type is defined
Algebraic_data_type
Relational database programming language
many types of statements, which may be informally classed as sublanguages, commonly: data query language (DQL), data definition language (DDL), data control
SQL
Use of functions that call themselves
solves such recursive problems by using functions that call themselves from within their own code. The approach can be applied to many types of problems
Recursion_(computer_science)
Acronym whose expansion includes a copy of itself
A recursive acronym is an acronym that refers to itself, and appears most frequently in computer programming. The term was first used in print in 1979
Recursive_acronym
Topics referred to by the same term
data types indexed by another type or value Recursive data type, a data type for values that may contain other values of the same type Inductive type
Inductive_data_type
Process of repeating items in a self-similar way
references can occur. A process that exhibits recursion is recursive. Video feedback displays recursive images, as does an infinity mirror. In mathematics and
Recursion
Top-down parser utilizing recursion
computer science, a recursive descent parser is a kind of top-down parser built from a set of mutually recursive procedures (or a non-recursive equivalent) where
Recursive_descent_parser
Feature of a typed formal language that builds new types from old ones
types. Kind (type theory) Algebraic data type Recursive data type Marlow, Simon (April 2010), "4.1.2 Syntax of Types", Haskell 2010 Language Report, retrieved
Type_constructor
Higher-order function Y for which Y f = f (Y f)
type a {\displaystyle a} . In the simply typed lambda calculus extended with recursive data types, fixed-point operators can be written, but the type
Fixed-point_combinator
Linked node hierarchical data structure
In computer science, a tree is a widely used abstract data type that represents a hierarchical tree structure with a set of connected nodes. Each node
Tree_(abstract_data_type)
Way to represent data types in the lambda calculus
represent algebraic data types in the lambda calculus, following their syntactic definition without regard whether they are recursive or not. This is unlike
Mogensen–Scott_encoding
Family of higher-order functions
function that analyzes a recursive data structure and, through use of a given combining operation, recombines the results of recursively processing its constituent
Fold_(higher-order_function)
Finite, ordered collection of items
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 and append
List_(abstract_data_type)
Twelfth letter of the Greek alphabet
λ originate from evolution strategy notation) In type theory: Used to introduce a recursive data type. For example, list ( τ ) = μ α .1 + τ α {\displaystyle
Mu_(letter)
Defining elements of a set in terms of other elements in the set
In mathematics and computer science, a recursive definition, or inductive definition, is used to define the elements in a set in terms of other elements
Recursive_definition
Abstract data type
In computer science, a stack is an abstract data type that serves as a collection of elements with two main operations: Push, which adds an element to
Stack_(abstract_data_type)
CREATE [RECURSIVE] VIEW. Using a CTE inside an INSERT INTO, one can populate a table with data generated from a recursive query; random data generation
Hierarchical and recursive queries in SQL
Hierarchical_and_recursive_queries_in_SQL
Functional programming construct
recursive data type. The compiler verifies at compile-time that the list of cases is exhaustive and none are redundant. type color = Red | Black type
Pattern_matching
Computer science concept
representing various types of data, expressions that provide structuring rules for data, expressions representing various operations on data, and constructs
Type_system
Type of error-correcting code using convolution
data is also used in the output symbols (Output 2). Codes with output symbols that do not include the input data are called non-systematic. Recursive
Convolutional_code
Study of programming languages via mathematical objects
then solve the recursive definition there. Polymorphic data types are data types that are defined with a parameter. For example, the type of α lists is
Denotational_semantics
System to identify resources on a network
brokenness and DNS whitelisting List of DNS record types List of managed DNS providers Multicast DNS Public recursive name server resolv.conf Split-horizon DNS
Domain_Name_System
Mathematical theory of data types
respectively, and defines the set of types recursively as follows: if a {\displaystyle a} and b {\displaystyle b} are types, then so is ⟨ a , b ⟩ {\displaystyle
Type_theory
Text-string-oriented programming language
patterns as a first-class data type, a data type whose values can be manipulated in all ways permitted to any other data type in the programming language
SNOBOL
Mathematical-logic system based on functions
is M; this means a recursive function definition cannot be written with let. The letrec construction would allow writing recursive function definitions
Lambda_calculus
Adaptive filter algorithm for digital signal processing
Recursive least squares (RLS) is an adaptive filter algorithm that recursively finds the coefficients that minimize a weighted linear least squares cost
Recursive least squares filter
Recursive_least_squares_filter
Subroutine call performed as final action of a procedure
target of a tail is the same subroutine, the subroutine is said to be tail recursive, which is a special case of direct recursion. Tail recursion (or tail-end
Tail_call
Limited form of tree data structure
child and the right child. That is, it is a k-ary tree where k = 2. A recursive definition using set theory is that a binary tree is a triple (L, S, R)
Binary_tree
Conversion process for computer data
features such as a data type tags, support for cyclic data structures, indentation-sensitive syntax, and multiple forms of scalar data quoting. YAML is
Serialization
arrays containing primitive types, but was extended to handle higher-order and recursive data types in the work on Data Parallel Haskell. Flattening
Flattening_transformation
Procedural programming language
recursive, non-numeric, machine-independent applications, such as system and language software. It was a typeless language, with the only data type being
B_(programming_language)
as Milner–Mycroft typability or the Milner–Mycroft calculus) refers to a recursive parametrically polymorphic function where the type parameter changes
Polymorphic_recursion
Fixed-point theorem
in the theory of computable functions. It is also used to define recursive data types, e.g. linked lists, in domain theory. Kleene fixed-point theorem
Bourbaki–Witt_theorem
Computers accessing information referentially
dereferenced and acted on. Recursive data types are usually implemented using indirection, because otherwise if a value of a data type can contain the entirety
Indirection
Compact encoding of digital data
coding PackBits PAQ Prediction by partial matching Range coding Re-Pair Recursive indexing Rice coding Run-length encoding Sequitur algorithm Shannon coding
Data_compression
1999 edition of the SQL standard
allows only single inheritance. SQL:1999 added a WITH [RECURSIVE] construct allowing recursive queries, like transitive closure, to be specified in the
SQL:1999
Area of automatic programming
structured distances have been advocated for a better handling of recursive data types and structures; abstraction has also been explored as a more powerful
Inductive_programming
Programming language
(no type, no name) qsort([]) -> []; % If the list [] is empty, return an empty list (nothing to sort) qsort([Pivot|Rest]) -> % Compose recursively a list
Erlang_(programming_language)
Abstract data type for storing distinct values
In computer science, a set is an abstract data type that can store distinct values, without any particular order. It is a computer implementation of the
Set_(abstract_data_type)
Data structure that always preserves the previous version of itself when it is modified
versions, the data structure is called confluently persistent. Structures that are not persistent are called ephemeral. These types of data structures are
Persistent_data_structure
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
Type of data structure
when that type is manipulated. This is critical in defining recursive datatypes, in which some component of a value may have the same type as that value
Tagged_union
Sequence of characters, data type
denote a sequence (or list) of data other than just characters. Depending on the programming language and precise data type used, a variable declared to
String_(computer_science)
Programming language
→ False More complex data structures can be obtained by recursive data types. For instance, a list of elements, where the type of elements is arbitrary
Curry_(programming_language)
Two functions defined from each other
Just as algorithms on recursive datatypes can naturally be given by recursive functions, algorithms on mutually recursive data structures can be naturally
Mutual_recursion
3-volume treatise on mathematics, 1910–1913
theory specifies the rules of syntax (rules of grammar) usually as a recursive definition that starts with "0" and specifies how to build acceptable
Principia_Mathematica
Suite of IETF specifications
request to a recursive name server, and use the Authenticated Data (AD) bit in the response as a "hint to find out whether the recursive name server was
Domain Name System Security Extensions
Domain_Name_System_Security_Extensions
Diagram that represents a workflow or process
Business process mapping Data and information visualization Interactive EasyFlow Process architecture Pseudocode Recursive transition network Unified
Flowchart
Public recursive DNS resolver based in Switzerland
Quad9 is a global public recursive DNS resolver that aims to protect users from malware and phishing. Quad9 is operated by the Quad9 Foundation, a Swiss
Quad9
Algorithms which recursively solve subproblems
divide-and-conquer algorithm recursively breaks down a problem into two or more sub-problems of the same or related type, until these become simple enough
Divide-and-conquer_algorithm
Type of software
research such as transcription analysis, coding and text interpretation, recursive abstraction, content analysis, discourse analysis, grounded theory methodology
Computer-assisted qualitative data analysis software
Computer-assisted_qualitative_data_analysis_software
Class of algorithms
stack (LIFO) or queue (FIFO). As a tree is a self-referential (recursively defined) data structure, traversal can be defined by recursion or, more subtly
Tree_traversal
Origins and events of data
recovery, auditing and compliance analysis: "Lineage is a simple type of why provenance." Data governance plays a critical role in managing metadata by establishing
Data_lineage
Free and open-source object relational database management system
fewest features needed to completely support data types. These features included the ability to define types and to fully describe relationships – something
PostgreSQL
Method in computer programming of forming higher-level object types
and object aggregation are closely related ways to combine objects or data types into more complex ones. In conversation, the distinction between composition
Object_composition
Data structure in computer science
Octrees are most often used to partition a three-dimensional space by recursively subdividing it into eight octants. Octrees are the three-dimensional
Octree
Object which stores memory addresses in a computer program
structuring data in such cons-lists, these languages facilitate recursive means for building and processing data—for example, by recursively accessing the
Pointer (computer programming)
Pointer_(computer_programming)
Type of data model
information on a given object requires a recursive traversal of the metadata, followed by a recursive traversal of the data that stops when every attribute retrieved
Entity–attribute–value_model
Technique of representing an aggregate data structure
that it can be adapted to lists, trees, and other recursively defined data structures. Such modified data structures are usually referred to as "a tree with
Zipper_(data_structure)
Human-readable data serialization language
and April 2002 as YAML Ain't Markup Language, a recursive acronym, to distinguish its purpose as data-oriented rather than document markup. A cheat sheet
YAML
Proof method in mathematical logic
obtained from I by applying any one recursive rule once, then P(M) must also be true. An ancestor tree is a commonly known data structure, showing the parents
Structural_induction
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
Standard data modeling language for product data
specify the type of entity attributes and aggregate members. Datatypes can be used in a recursive way to build up more and more complex data types. E.g. it
EXPRESS (data modeling language)
EXPRESS_(data_modeling_language)
Types of data center network connections
Basic tree Clos network VL2 Fat-tree Al-Fares et al. Portland Hedera Recursive DCell BCube MDCube FiConn Flat RNG Flexible topology Fully optical OSA
Data center network architectures
Data_center_network_architectures
Form of text that defines C code
{ int num; }; Incomplete types are used to implement recursive structures; the body of the type declaration may be deferred to later in the translation
C_syntax
Divide and conquer sorting algorithm
sometimes called partition-exchange sort. The sub-arrays are then sorted recursively. This can be done in-place, requiring small additional amounts of memory
Quicksort
Open-source, strongly-typed database
function types), which can be defined recursively. This can have advantages for graph data workloads, as most graph algorithms are formulated recursively. TypeDB's
TypeDB
General-purpose functional programming language
loc * loc (* corners *) Note that a type synonym cannot be recursive; datatypes are necessary to define recursive constructors. (This is not at issue
Standard_ML
In-band data value that must be handled specially by computer code
dummy data) is a special value in the context of an algorithm which uses its presence as a condition of termination, typically in a loop or recursive algorithm
Sentinel_value
Study of computable functions and Turing degrees
mathematical constructions can be effectively performed is sometimes called recursive mathematics. Computability theory originated in the 1930s, with the work
Computability_theory
Organization of information or objects into (usually self-similar) layers
with lexical scope nested data structures such as records, objects, classes, etc. nested virtualization, also called recursive virtualization: running a
Nesting_(computing)
Malicious archive file designed to disrupt the program or system reading it
example of a recursive zip bomb is titled 42.zip, which is a zip file of unknown authorship consisting of 42 kilobytes of compressed data, containing five
Zip_bomb
Set of markup declarations for SGML-family markup language
entities referenced in its defined content (this also prevents circular or recursive definitions of internal entities). This document is parsed as if it was:
Document_type_definition
Concept in programming language design
object-oriented programming, in which the object system implements itself recursively via a system of metaclasses and metaobjects, which are themselves classes
First-class_citizen
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
Subset of artificial intelligence
special type of unsupervised learning called self-supervised learning involves training a model by generating the supervisory signal from the data itself
Machine_learning
Programming paradigm restricted to provably terminating programs
lists (which would be rejected by a substructural recursive checker) is, using Haskell: import Data.List (partition) qsort [] = [] qsort [a] = [a] qsort
Total_functional_programming
Type of algorithm in computer science
computer science, corecursion is a type of operation that is dual to (structural) recursion. Whereas recursion consumes a data structure by first handling the
Corecursion
Sequence of program instructions invokable by other software
subroutine nesting and recursive subroutines. The Burroughs B5000 (1961) is one of the first computers to store subroutine return data on a stack. The DEC
Function (computer programming)
Function_(computer_programming)
Type of neural network which utilizes recursion
A recursive neural network is a kind of deep neural network created by applying the same set of weights recursively over a structured input, to produce
Recursive_neural_network
Programming language family
many ideas in computer science, including tree data structures, automatic storage management, dynamic typing, conditionals, higher-order functions, recursion
Lisp_(programming_language)
Tree data structure that partitions a 2D area
to partition a two-dimensional space by recursively subdividing it into four quadrants or regions. The data associated with a leaf cell varies by application
Quadtree
Algorithm to search the nodes of a graph
edges. The recursive implementation will visit the nodes from the example graph in the following order: A, B, D, F, E, C, G. The non-recursive implementation
Depth-first_search
Programming paradigm based on applying and composing functions
passed as arguments, and returned from other functions, just as any other data type can. This allows programs to be written in a declarative and composable
Functional_programming
Ability of a computing system to simulate Turing machines
Leopold Kronecker formulated notions of computability, defining primitive recursive functions. These functions can be calculated by rote computation, but
Turing_completeness
Local variable in computer programming
itself is defined along that local data although they exist in a somewhat similar, but not identical, form also in recursive languages with dynamic scoping
Automatic_variable
Tree-like structure for data
Concepts. 4th ed., McGraw-Hill, 2004, p. 11, 21. Michael J. Kamfonas/Recursive Hierarchies: The Relational Taboo! Archived 2008-11-08 at the Wayback
Hierarchical_database_model
Type of Gödel numbering in mathematics
"implemented" using total recursive functions, and in fact by primitive recursive functions. It is usually used to build sequential "data types" in arithmetic-based
Gödel_numbering_for_sequences
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
Sequence of operations for a task
The Tower of Hanoi is a puzzle commonly solved using recursive implementation. Every recursive version has an equivalent (but possibly more or less complex)
Algorithm
Data serialization format
recursive case of the definition of S-expressions is traditionally implemented using cons cells. S-expressions were originally intended only for data
S-expression
Programming language
reduces the need for the manual type annotations that are required in most statically typed languages. For example, the data types of variables and the signatures
OCaml
Data structure in tree form sorted for fast lookup
trees of other formats. search-recursive(key, node) if node is NULL return EMPTY_TREE if key < node.key return search-recursive(key, node.left) else if key
Search_tree
Hypothetical event
even more capable machine, which could repeat the process in turn. This recursive self-improvement could accelerate, potentially allowing enormous qualitative
Technological_singularity
Programming function applied recursively to its previous result
any recursive type, according to a generic pattern, generalizing the second version of ana for lists. For example, the unfold for the tree data structure
Anamorphism
Tree data structure with a variable and unbounded number of branches per node
Well-founded rose trees can be defined by a recursive construction of entities of the following types: A base entity is an element of a predefined ground
Rose_tree
recursively bounded quantification, introduced in 1989, allows for more precise typing of functions that are applied on recursive types. A recursive type
Bounded_quantification
RECURSIVE DATA-TYPE
RECURSIVE DATA-TYPE
Male
Hebrew
(דֶּרַע) Hebrew name DARA means "the arm." In the bible, this is the name of a son of Zerah. Compare with other forms of Dara.
Male
Turkish
Turkish name ATA means "ancestor."
Female
English
 English surname transferred to unisex forename use, possibly DANA means "from Denmark." Compare with other forms of Dana.
Female
English
 Middle English name DARA means "brave, daring." Compare with another form of Dara.
Female
Finnish
Variant form of Finnish Aada, AATA means "noble."
Female
Hebrew
(דִּיתָה) Pet form of Hebrew Yehuwdiyth, DITA means "Jewess" or "praised." Compare with another form of Dita.
Male
Iranian/Persian
 Short form of Persian Dârayavahush, DARA means "possesses a lot, wealthy." Compare with other forms of Dara.
Female
Hindi/Indian
(लता) Hindi name derived from a plant name, from the Sanskrit word lata, LATA means "creeper," in reference to a creeping plant.
Female
Russian
 Short form of Russian Yekaterina, KATA means "pure." Compare with other forms of Kata.
Male
Hebrew
Variant spelling of Hebrew Dathan, DATAN means "belonging to a fountain."
Male
Irish
Irish Gaelic name MAC DARA means "son of oak." This is the name of a patron saint and is still common in Ireland, especially in Connemara.
Male
Irish
 From Irish Gaelic Mac Dara, DARA means "son of oak." Compare with other forms of Dara.
Female
Slavic
 Short form of Slavic Bogdana, DANA means "gift from God." Compare with other forms of Dana.
Girl/Female
Hindu
A creeper
Female
Finnish
 Short form of Finnish Katariina, KATA means "pure." Compare with other forms of Kata.
Male
English
English surname transferred to unisex forename use, possibly DANA means "from Denmark."
Female
Hebrew
(×“Ö¼Ö¸× Ö¸×”) Feminine form of Hebrew Dan, DANA means "judge." Compare with other forms of Dana.
Female
Polish
Short form of Polish Edyta, DYTA means "rich battle."
Female
Hungarian
 Short form of Hungarian Katalin, KATA means "pure." Compare with other forms of Kata.
Female
Polish
 Variant spelling of Polish Dyta, DITA means "rich battle." Compare with another form of Dita.
RECURSIVE DATA-TYPE
RECURSIVE DATA-TYPE
Girl/Female
American, Australian, British, Chinese, Christian, Danish, English, French, German, Greek, Hebrew, Indian
Laurel Tree
Boy/Male
American, British, Chinese, English, Jamaican
Fair Town; Abbreviation of Trevelyan; Brave One
Male
Native American
Native American Navajo name SHILAH means "brother."
Boy/Male
Hindu
Karna
Boy/Male
Hindu, Indian
Strong
Girl/Female
Indian
Beautiful, Elegant
Boy/Male
Bengali, Gujarati, Hindu, Indian, Malayalam, Punjabi, Sikh
Love; Devotee; Servant of God
Boy/Male
Tamil
Shivendra | ஷிவேநà¯à®¤à¯à®°
Lord Shiva and Lord Indra
Boy/Male
Muslim/Islamic
Slave of the Lord
Girl/Female
Hindu
Dence, Full of
RECURSIVE DATA-TYPE
RECURSIVE DATA-TYPE
RECURSIVE DATA-TYPE
RECURSIVE DATA-TYPE
RECURSIVE DATA-TYPE
n. pl.
See Datum.
a.
Running down; decurrent.
n.
The point of time at which a transaction or event takes place, or is appointed to take place; a given point of time; epoch; as, the date of a battle.
a.
Prone to make excursions; wandering; roving; exploring; as, an excursive fancy.
a.
Preceding; introductory; precursory.
n.
That addition to a writing, inscription, coin, etc., which specifies the time (as day, month, and year) when the writing or inscription was given, or executed, or made; as, the date of a letter, of a will, of a deed, of a coin. etc.
adv.
In a decursive manner.
pl.
of Datum
a.
Manifesting distaste or dislike; repulsive.
a.
Serving, or able, to repulse; repellent; as, a repulsive force.
v. t.
To note the time of writing or executing; to express in an instrument the time of its execution; as, to date a letter, a bond, a deed, or a charter.
n.
A revulsive medicine.
n.
The fruit of the date palm; also, the date palm itself.
a.
Repulsive; driving back.
n.
A character used in cursive writing.
n.
Prior date; a date antecedent to another which is the actual date.
n.
That which causes revulsion; specifically (Med.), a revulsive remedy or agent.
v. t.
Causing revulsion; revulsive.
a.
Cold; forbidding; offensive; as, repulsive manners.
v. t.
To note or fix the time of, as of an event; to give the date of; as, to date the building of the pyramids.