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Type of abstraction in science, mathematics, and philosophy
In mathematics and related fields, an abstract structure is a way of describing a set of mathematical objects and the relationships between them, focusing
Abstract_structure
Mathematical model for data types
for abstract data types at that time. It has a mathematical foundation in universal algebra. Formally, an ADT is analogous to an algebraic structure in
Abstract_data_type
Tree representation of the abstract syntactic structure of source code
An abstract syntax tree (AST) is a data structure used in computer science to represent the structure of a program or code snippet. It is a tree representation
Abstract_syntax_tree
Arrangement of interrelated elements in an object/system, or the object/system itself
Physical structures include artifacts and objects such as buildings and machines and natural objects such as organisms, minerals and chemicals. Abstract structures
Structure
Process of generalization
Philosophy portal Abstract art Abstract and concrete Abstract interpretation Abstract labour and concrete labour Abstract structure Abstraction (sociology)
Abstraction
Particular way of storing and organizing data in a computer
operations for working with this data. Data structures are closely related to abstract data types (ADTs). The data structure describes the representation of data
Data_structure
Metaphysics concept covering the divide between two types of entities
tangible objects, while abstract (formal operational) thinking involves a mental process. A priori and a posteriori Abstract structure Mathematical object
Abstract_and_concrete
Branch of mathematics
mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations
Abstract_algebra
Mathematical space with a notion of closeness
space is a set whose elements are called points, along with an additional structure called a topology, which can be defined as a set of neighbourhoods for
Topological_space
Topics referred to by the same term
up Abstract or abstract in Wiktionary, the free dictionary. Abstract or Abstracts may refer to: The former of abstract and concrete entities Abstract (summary)
Abstract
Study of abstract structures described by formal systems
science is a branch of science studying disciplines concerned with abstract structures described by formal systems. Whereas the natural sciences and social
Formal_science
American post–World War II art movement
spatial structure of native-Indian painting from British Columbia and prepared the ground for the new spatial vision of the young American abstracts. His
Abstract_expressionism
computer science, the abstract syntax of data is its structure described as a data type (possibly, but not necessarily, an abstract data type), independent
Abstract_syntax
Property of graphs that depends only on abstract structure
graph invariant is a property of graphs that depends only on the abstract structure, not on graph representations such as particular labellings or drawings
Graph_property
Intellectual current and methodological approach in the social science
relations constitute a structure, and behind local variations in the surface phenomena there are constant laws of abstract structure." The term structuralism
Structuralism
A Structured Digital Abstract (SDA) is a method of describing relationships between biological entities in a structured, but human-readable, format. It
Structured_digital_abstract
Mathematical model for deduction or proof systems
A formal system (or deductive system) is an abstract structure and formalization of an axiomatic system used for deducing, using rules of inference, theorems
Formal_system
Graph defined from a mathematical group
diagram, group diagram, or color group, is a graph that encodes the abstract structure of a group. Its definition is suggested by Cayley's theorem (named
Cayley_graph
Additional mathematical object
topological group. Abstract structure Algebraic structure Category (mathematics) Equivalent definitions of mathematical structures Forgetful functor Intuitionistic
Mathematical_structure
Theoretical framework
with a given model involving a variety of abstract structures. A scientific model is a simplified abstract view of a complex reality. A scientific model
Conceptual_model
Proof that every structure with certain properties is isomorphic to another structure
theorem that states that every abstract structure with certain properties is isomorphic to another (abstract or concrete) structure. Cayley's theorem states
Representation_theorem
2025 studio album by Kevin Abstract
membership or structure, which Abstract has compared to the Warhol superstars or an ensemble cast. Production is primarily handled by Abstract and Devan Manley
Blush_(Kevin_Abstract_album)
Branch of mathematics
Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems
Algebra
Method of communication
compared to other verbal or written languages because of its more abstract structure. It stands out for its uniqueness, as the interpretation of signs
Visual_communication
Brief summary of a research article
An abstract is a brief summary of a research article, thesis, review, conference proceeding, or any in-depth analysis of a particular subject and is often
Abstract_(summary)
Set whose pairs have minima and maxima
A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered
Lattice_(order)
Topics referred to by the same term
pre-image of an open affine subscheme is affine Affine space, an abstract structure that generalises the affine-geometric properties of Euclidean space
Affine
2014 video game
February 2014. Players control Lucy, who navigates an expansive, abstract structure with shifting architecture and environmental challenges. The game
NaissanceE
Abstract data type for storing distinct values
}}x\not \in S\end{cases}}} In theory, many other abstract data structures can be viewed as set structures with additional operations and/or additional axioms
Set_(abstract_data_type)
Theory of science, reconstructing empirical theories
an epistemic commitment to abstract structures, that is, to (second-order) isomorphism classes of the observational structure of the world and not the (first-order)
Structuralism (philosophy of science)
Structuralism_(philosophy_of_science)
Mathematical construction relating to infinite-dimensional spaces
The concept of an abstract Wiener space is a mathematical construction developed by Leonard Gross to understand the structure of Gaussian measures on
Abstract_Wiener_space
Document format for reporting studies in the scientific literature
for inclusion in the abstract. Such abstracts are often referred to as structured abstracts. The growing importance of abstracts in the era of computerized
IMRAD
Linked node hierarchical data structure
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 in
Tree_(abstract_data_type)
Geometry with 7 points and 7 lines
of these lines are merely an artifact of the visualization. As an abstract structure, the Fano plane is highly symmetric, with symmetries that take any
Fano_plane
Theoretical computer used for defining a model of computation
the data structures and algorithms needed by the abstract machine. This provides the most flexibility since programmes implementing abstract machine constructs
Abstract_machine
Abstract structure in mathematics
complex-valued functions on a compact group is generalised to an abstract structure on a not-necessarily commutative unital C ∗ {\displaystyle \mathrm
Compact_quantum_group
Species of flowering plant
25, 2012, at the Wayback Machine Sekine, T. (2010). "ChemInform Abstract: Structure of Asparagamine A (I), a Novel Polycyclic Alkaloid from Asparagus
Asparagus_racemosus
Mathematical theory of integral equations
solution of the Fredholm integral equation. In a broader sense, the abstract structure of Fredholm's theory is given in terms of the spectral theory of Fredholm
Fredholm_theory
Abstract regular 4-polytope
illustrated by Carlo H. Séquin. Looking only at the vertices and cells, its abstract structure is geometric configuration (116) and can be defined with a cyclic
11-cell
Method of software testing of internal structure
an abstract structure such as the input space, a graph, or logical predicates, and the question is what level of abstraction we derive that abstract structure
White-box_testing
Art with a degree of independence from visual references
Abstract art uses visual language of shape, form, color, and line to create a composition which may exist with a degree of independence from visual references
Abstract_art
Wikimedia project to extend Wikidata
version of Wikipedia using its structured data. First conceived in 2020 (with a precursor proposal in 2013), Abstract Wikipedia has been under active
Abstract_Wikipedia
Division of the American Chemical Society
CAS (Chemical Abstracts Service) is a division of the American Chemical Society. It is a source of chemical information and is located in Columbus, Ohio
Chemical_Abstracts_Service
Construction in combinatorial group theory
generating set of G, and a subgroup of G. The Schreier graph encodes the abstract structure of the group modulo an equivalence relation formed by the cosets of
Schreier_coset_graph
Set with operations obeying given axioms
vectors). Abstract algebra is the name that is commonly given to the study of algebraic structures. The general theory of algebraic structures has been
Algebraic_structure
Subdivisions of science defined by their scope
use an a priori, as opposed to empirical, methodology. They study abstract structures described by formal systems. Natural sciences: the study of natural
Branches_of_science
of abstract mathematical structures is obtained via constructing systems of axioms, which provide implicit definitions of the relevant structures—obviating
Structuralism (philosophy of mathematics)
Structuralism_(philosophy_of_mathematics)
Equivalence of distributive lattices and set families
correspond to unions and intersections of sets. Here, a lattice is an abstract structure with two binary operations, the "meet" and "join" operations, which
Birkhoff's representation theorem
Birkhoff's_representation_theorem
Topics referred to by the same term
dictionary. An edifice is most commonly a building or structure. It can even be an abstract structure such as a theory. Edifice may also refer to: Edifice
Edifice_(disambiguation)
Network representation of the relationships between objects in a program
This web of objects is called an object graph and it is the more abstract structure that can be used in discussing an application's state. An object graph
Object_graph
see List of data structures. The comparisons in this article are organized by abstract data type. As a single concrete data structure may be used to implement
Comparison_of_data_structures
Software design pattern
The abstract factory pattern in software engineering is a design pattern that provides a way to create families of related objects without imposing their
Abstract_factory_pattern
Set of axioms for set theory
structural set theory, an approach to set theory that emphasizes sets as abstract structures (as opposed to collections of elements). The real message is this:
Elementary theory of the category of sets
Elementary_theory_of_the_category_of_sets
Data organization and storage formats
tree Abstract syntax tree Parse tree Decision tree Alternating decision tree Game tree Expectiminimax tree Finger tree Expression tree Log-structured merge-tree
List_of_data_structures
Poset representing certain properties of a polytope
an abstract polytope in some real n-dimensional space, typically Euclidean. This abstract definition allows more general combinatorial structures than
Abstract_polytope
Branch of mathematics that studies algebraic structures
up Appendix:Glossary of abstract algebra in Wiktionary, the free dictionary. In mathematics, more specifically algebra, abstract algebra or modern algebra
List of abstract algebra topics
List_of_abstract_algebra_topics
German mathematician (1882–1935)
1935) was a German mathematician who made many important contributions to abstract algebra. She also proved Noether's first and second theorems, which are
Emmy_Noether
Area of discrete mathematics
be confused with the graph itself (the abstract, non-visual structure) as there are several ways to structure the graph drawing. All that matters is which
Graph_theory
Representation of an organization's data
without reference to technology. Logical data models represent the abstract structure of a domain of information. They are often diagrammatic in nature
Logical_schema
Branch of mathematics that studies the properties of groups
In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known
Group_theory
Mental skill based games
Abstract strategy games are games like chess, draughts and Go. They are typically strategy games with minimal or no narrative theme, an outcome determined
Abstract_strategy_game
Approach of social movements
mechanisms to explain political opportunities, rather than relying on an abstract structure. MoveOn.org is an organization that started in 1998 and still operates
Political_opportunity
Approach to static program analysis
In computer science, abstract interpretation is a theory of sound approximation of the semantics of computer programs, based on monotonic functions over
Abstract_interpretation
number of cells (57) and the symmetry of each cell (60). The symmetry abstract structure is the projective special linear group of the 2-dimensional vector
57-cell
5-dimensional hypercube
two-dimensional space. The 5-cube has Coxeter group symmetry B5, abstract structure C 2 ≀ S 5 {\displaystyle C_{2}\wr S_{5}} , order 3840, containing
5-cube
extending beyond literal copying of the text to copying the more abstract structure, sequence and organization. The decision initiated a six-year period
Whelan_v._Jaslow
Fundamental unit of cognition
internal structure, mode of acquisition, and domain. These include simple and complex concepts, learned and innate concepts, concrete and abstract concepts
Concept
URI scheme
The goal of XRI was a standard syntax and discovery format for abstract, structured identifiers that are domain-, location-, application-, and transport-independent
Extensible Resource Identifier
Extensible_Resource_Identifier
computer science, an abstract state machine (ASM) is a state machine operating on states that are arbitrary data structures (structure in the sense of mathematical
Abstract_state_machine
Sculpture in Chicago, Illinois, by Alexander Calder
Building. The stabile is an art form which Calder pioneered. It is an abstract structure that is completely stationary, as opposed to a mobile, which can move
Flamingo_(sculpture)
Subfield of linguistic semantics
semantics, is the study of word meanings. It includes the study of how words structure their meaning, how they act in grammar and compositionality, and the relationships
Lexical_semantics
Mathematical concept
mixed Hodge modules are the culmination of Hodge theory, mixed Hodge structures, intersection cohomology, and the decomposition theorem yielding a coherent
Mixed_Hodge_module
American database company
bonding, synthesis, PVC, chain structure, performance testing, compounding, and filled plastics. This database provides abstracting and full bibliographic citation
Cambridge Scientific Abstracts
Cambridge_Scientific_Abstracts
Abstract data type in computer science
In computer science, a graph is an abstract data type that is meant to implement the undirected graph and directed graph concepts from the field of graph
Graph_(abstract_data_type)
1961 studio album by Oliver Nelson
The Blues and the Abstract Truth is an album by American composer and jazz saxophonist Oliver Nelson recorded in February 1961 for the Impulse! label.
The Blues and the Abstract Truth
The_Blues_and_the_Abstract_Truth
Topics referred to by the same term
Model theory, a branch of mathematical logic, in which a model is an abstract structure that satisfies a set of logical sentences Physical models of mathematical
Mathematical model (disambiguation)
Mathematical_model_(disambiguation)
Abstract model
data and semi-structured data. The term data model can refer to two distinct but closely related concepts. Sometimes it refers to an abstract formalization
Data_model
Ordered arrangement of atoms, ions, or molecules in a crystalline material
crystallography, crystal structure is a description of the ordered arrangement of atoms, ions, or molecules in a crystalline material. Ordered structures occur from
Crystal_structure
Study of correct reasoning
this sense, it is topic-neutral since it is only concerned with the abstract structure of arguments and not with their concrete content. Formal logic is
Logic
is abstract because it is represented by mathematical objects that have certain structure by their very nature. For instance, in first-order abstract syntax
Higher-order_abstract_syntax
as a feature that makes structure explicit. Another aspect to consider when designing a form or document is abstract structure. This is the idea that text
Form_and_document_creation
Process of extracting the underlying essence of a mathematical concept
the underlying rules and concepts were identified and defined as abstract structures. For example, geometry has its origins in the calculation of distances
Abstraction_(mathematics)
Philosophical study of being
ontology is the study of objects in general while focusing on their abstract structures and features. It divides objects into different categories based
Ontology
A mathematical object is an abstract concept arising in mathematics. Typically, a mathematical object can be a value that can be assigned to a symbol,
Mathematical_object
Finite, ordered collection of items
term list is also used for several concrete data structures that can be used to implement abstract lists, especially linked lists and arrays. In some
List_(abstract_data_type)
Study of graphs as a representation of relations between discrete objects
transmission line impedances). Most of these studies focus only on the abstract structure of the power grid using node degree distribution and betweenness distribution
Network_theory
Computer science data structure
the root node. The heap is one maximally efficient implementation of an abstract data type called a priority queue, and in fact, priority queues are often
Heap_(data_structure)
Scientific study of language
of how it is being learnt or how it was acquired, as abstract objects or as cognitive structures, through written texts or through oral elicitation, and
Linguistics
were originally introduced by Alexander Grothendieck while studying abstract structures surrounding Abelian varieties and Picard groups. More concretely
Abelian_2-group
Abstract data type
data structure, or more abstractly a sequential collection. Queues are common in computer programs, where they are implemented as data structures coupled
Queue_(abstract_data_type)
Study of numbers that are not solutions of polynomials with rational coefficients
Moreover, in this abstract structure Schanuel's conjecture does indeed hold. Unfortunately it is not yet known that this structure is in fact the same
Transcendental_number_theory
2023 studio album by Abstract Concrete
square the circle of song and free improvisation, but Abstract Concrete's embellished structures feel more natural and no less imaginative." Sean Kitching
Abstract_Concrete
Data structure that can be used by multiple threads
queues, concurrent stacks etc. The concurrent data structure is typically considered to reside in an abstract storage environment known as shared memory, which
Concurrent_data_structure
1954 book by Paul Goodman
Aristotelian analytic method. In The Structure of Literature, Goodman repeatedly concedes that he is abstracting structures within the work rather than probing
The_Structure_of_Literature
Software class or data structure whose instances are collections of other objects
data structures Standard Template Library#Containers Collection (abstract data type) Java ConcurrentMap Paul E. Black (ed.), entry for data structure in
Container (abstract data type)
Container_(abstract_data_type)
Mathematical invariance under transformations
of structure in mathematics will have its own kind of symmetry. Examples include even and odd functions in calculus, symmetric groups in abstract algebra
Symmetry
Attempt to persuade or to determine the truth of a conclusion
relations with types of reasoning and logical axioms and representing the abstract structure of the most common types of natural arguments. A typical example is
Argument
Abstract machine for the execution of Prolog
In 1983, David H. D. Warren designed an abstract machine for the execution of Prolog consisting of a memory architecture and an instruction set. This design
Warren_Abstract_Machine
Analysis of computer programs without executing them
representations of programs to examine the structure of source code without executing the program. For this purpose, abstract syntax trees (ASTs) are commonly used
Static_program_analysis
Concept in mathematics
In mathematics, a Zariski geometry consists of an abstract structure introduced by Ehud Hrushovski and Boris Zilber, in order to give a characterisation
Zariski_geometry
ABSTRACT STRUCTURE
ABSTRACT STRUCTURE
Girl/Female
Arabic, Muslim
Beautiful Portrait; Abstract Picture
Girl/Female
Indian
Quiet, Tranquillity, Calm, Abstract meditation on brahman, Quietism personified as a son of Dharma, Epithet of Vishnu
Boy/Male
Bengali, Celebrity, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Tamil, Telugu
Who Attract in First Meeting; Lord Krishna
Girl/Female
Muslim
Quiet, Tranquillity, Calm, Abstract meditation on brahman, Quietism personified as a son of Dharma, Epithet of Vishnu
Girl/Female
Christian, Greek, Hindu, Indian
Possessing an Extraordinary Ability to Attract; Attractiveness or Charm; Grace; Kindness; Supernatural
Boy/Male
Gujarati, Hindu, Indian, Kannada
Attract
Boy/Male
Tamil
Attract
Girl/Female
English French Latin
used as a virtue name by the Puritans, associated with the abstract virtue of clemency.
Girl/Female
Hindu
Quiet, Tranquillity, Calm, Abstract meditation on brahman, Quietism personified as a son of Dharma, Epithet of Vishnu
Girl/Female
Hindu, Indian, Kannada
Abstract; Forecast
Surname or Lastname
English
English : occupational name for a watchman, Anglo-Norman French waite (of Germanic origin; compare Wachter), or from the same word in its original abstract/collective sense, ‘the watch’. There may also have been some late confusion with White.
Girl/Female
Hindu, Indian
Abstract; Present; One who is Near; Faith
Girl/Female
Indian
Beautiful portrait, Abstract picture
Boy/Male
Indian, Sikh
Willing to Attract
Girl/Female
Assamese, Bengali, Hindu, Indian, Kannada, Malayalam, Marathi, Tamil, Telugu
Melody; Music; Lyrics; Musical Instruement; Lead Life in an Abstract Way
Girl/Female
Muslim
Beautiful portrait, Abstract picture
Girl/Female
English Latin
used as a virtue name by the Puritans, associated with the abstract virtue of clemency.
Girl/Female
Muslim
Beautiful portrait, Abstract picture
Girl/Female
Tamil
Quiet, Tranquillity, Calm, Abstract meditation on brahman, Quietism personified as a son of Dharma, Epithet of Vishnu
Boy/Male
Indian
Attract
ABSTRACT STRUCTURE
ABSTRACT STRUCTURE
Girl/Female
Tamil
Akashini | அகஷீநீÂ
Women with beautiful hair
Boy/Male
Muslim
Friend
Surname or Lastname
English
English : variant spelling of Hollen.
Boy/Male
Bengali, Celebrity, Gujarati, Hindu, Indian, Kashmiri, Malayalam, Marathi, Sanskrit, Sindhi, Telugu, Traditional
Moon
Boy/Male
Muslim
A narrator of Hadith
Boy/Male
Hindu, Indian, Punjabi, Sikh, Telugu
Wave
Girl/Female
Gaelic
Slender. (French) 'from the forest.
Boy/Male
Arabic, Australian
Creative; Handsome; Award Winning; Trophy of Honour
Surname or Lastname
English
English : from the Middle English personal name Aldred, which represents a coalescence of two Old English personal names: Ealdrǣd ‘ancient counsel’ and Æ{dh}elrǣd (Ethelred) ‘noble counsel’.
Girl/Female
Hebrew
pleasant.
ABSTRACT STRUCTURE
ABSTRACT STRUCTURE
ABSTRACT STRUCTURE
ABSTRACT STRUCTURE
ABSTRACT STRUCTURE
n.
One who abstracts, or makes an abstract.
adv.
In an abstract state or manner; separately; absolutely; by itself; as, matter abstractly considered.
v. t.
To restrict the tenure of; as, to astrict lands. See Astriction, 4.
v. t.
To draw (the sight, mind, or attention) in different directions; to perplex; to confuse; as, to distract the eye; to distract the attention.
a.
Resulting from the mental faculty of abstraction; general as opposed to particular; as, "reptile" is an abstract or general name.
n.
The state of being abstracted; abstract character.
imp. & p. p.
of Abstract
a.
Expressing a particular property of an object viewed apart from the other properties which constitute it; -- opposed to concrete; as, honesty is an abstract word.
a.
An abstract term.
v. t.
To be, or come, in the way of; to hinder from passing; to stop; to impede; to retard; as, the bar in the harbor obstructs the passage of ships; clouds obstruct the light of the sun; unwise rules obstruct legislation.
a.
To take secretly or dishonestly; to purloin; as, to abstract goods from a parcel, or money from a till.
a.
Considered apart from any application to a particular object; separated from matter; existing in the mind only; as, abstract truth, abstract numbers. Hence: ideal; abstruse; difficult.
a.
Abstracted; absent in mind.
n.
See Astrict, and Astriction.
a.
To draw off in respect to interest or attention; as, his was wholly abstracted by other objects.
a.
Abstract; abstruse; difficult.
a.
Separated from matter; abstract; ideal.
p. pr. & vb. n.
of Abstract
a.
A powdered solid extract of a vegetable substance mixed with sugar of milk in such proportion that one part of the abstract represents two parts of the original substance.
a.
A state of separation from other things; as, to consider a subject in the abstract, or apart from other associated things.