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Qu'est-ce (qui) est relational structure - définition

MAPPING OF MATHEMATICAL FORMULAS TO A PARTICULAR MEANING, IN UNIVERSAL ALGEBRA AND IN MODEL THEORY

Model (logic); Relational structure; Model (model theory); Structure (model theory); Model (in logic); Structure (logic); Homomorphism problem; Interpretation function; Sort (mathematical logic); One-sorted structure; Many-sorted structure; Model (mathematical logic)

Structure (mathematical logic)

In universal algebra and in model theory, a structure consists of a set along with a collection of finitary operations and relations that are defined on it.

https://en.wikipedia.org/wiki/Structure_(mathematical_logic)

Relational art

TENDENCY IN FINE ART

Relational Aesthetics; Relational Esthetics; L'esthétique relationnelle; Relational Art; Esthétique relationnelle; Relation Aesthetics; Relation Art

Relational art or relational aesthetics is a mode or tendency in fine art practice originally observed and highlighted by French art critic Nicolas Bourriaud. Bourriaud defined the approach as "a set of artistic practices which take as their theoretical and practical point of departure the whole of human relations and their social context, rather than an independent and private space.

https://en.wikipedia.org/wiki/Relational_art

Statistical relational learning

SUBDISCIPLINE OF ARTIFICIAL INTELLIGENCE

Probabilistic relational model; Relational probabilistic model

Statistical relational learning (SRL) is a subdiscipline of artificial intelligence and machine learning that is concerned with domain models that exhibit both uncertainty (which can be dealt with using statistical methods) and complex, relational structure.

https://en.wikipedia.org/wiki/Statistical_relational_learning

Wikipédia

Structure (mathematical logic)

In universal algebra and in model theory, a structure consists of a set along with a collection of finitary operations and relations that are defined on it.

Universal algebra studies structures that generalize the algebraic structures such as groups, rings, fields and vector spaces. The term universal algebra is used for structures of first-order theories with no relation symbols. Model theory has a different scope that encompasses more arbitrary first-order theories, including foundational structures such as models of set theory.

From the model-theoretic point of view, structures are the objects used to define the semantics of first-order logic, cf. also Tarski's theory of truth or Tarskian semantics.

For a given theory in model theory, a structure is called a model if it satisfies the defining axioms of that theory, although it is sometimes disambiguated as a semantic model when one discusses the notion in the more general setting of mathematical models. Logicians sometimes refer to structures as "interpretations", whereas the term "interpretation" generally has a different (although related) meaning in model theory, see interpretation (model theory).

In database theory, structures with no functions are studied as models for relational databases, in the form of relational models.

https://en.wikipedia.org/wiki/Structure (mathematical logic)