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  2. Category:Mathematical relations - Wikipedia

    en.wikipedia.org/wiki/Category:Mathematical...

    Download QR code; Print/export Download as PDF; Printable version; In other projects Wikimedia Commons; Wikidata item; Appearance. ... Relational algebra (10 P)

  3. Composition of relations - Wikipedia

    en.wikipedia.org/wiki/Composition_of_relations

    Another form of composition of relations, which applies to general -place relations for , is the join operation of relational algebra. The usual composition of two binary relations as defined here can be obtained by taking their join, leading to a ternary relation, followed by a projection that removes the middle component.

  4. Relational algebra - Wikipedia

    en.wikipedia.org/wiki/Relational_algebra

    Lecture Notes: Relational Algebra – A quick tutorial to adapt SQL queries into relational algebra; Relational – A graphic implementation of the relational algebra; Query Optimization This paper is an introduction into the use of the relational algebra in optimizing queries, and includes numerous citations for more in-depth study.

  5. Relation (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Relation_(mathematics)

    Since relations are sets, they can be manipulated using set operations, including union, intersection, and complementation, leading to the algebra of sets. Furthermore, the calculus of relations includes the operations of taking the converse and composing relations .

  6. Codd's theorem - Wikipedia

    en.wikipedia.org/wiki/Codd's_theorem

    Codd's theorem states that relational algebra and the domain-independent relational calculus queries, two well-known foundational query languages for the relational model, are precisely equivalent in expressive power. That is, a database query can be formulated in one language if and only if it can be expressed in the other.

  7. Relation algebra - Wikipedia

    en.wikipedia.org/wiki/Relation_algebra

    A relation algebra (L, ∧, ∨, −, 0, 1, •, I, ˘) is an algebraic structure equipped with the Boolean operations of conjunction x∧y, disjunction x∨y, and negation x −, the Boolean constants 0 and 1, the relational operations of composition x•y and converse x˘, and the relational constant I, such that these operations and constants satisfy certain equations constituting an ...

  8. Category:Relational algebra - Wikipedia

    en.wikipedia.org/wiki/Category:Relational_algebra

    Download as PDF; Printable version; In other projects Wikimedia Commons; Wikidata item; Appearance. move to sidebar hide. Help ... Pages in category "Relational algebra"

  9. Structure (mathematical logic) - Wikipedia

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

    In the case of model theory these axioms have the form of first-order sentences. The formalism of universal algebra is much more restrictive; essentially it only allows first-order sentences that have the form of universally quantified equations between terms, e.g. x y (x + y = y + x). One consequence is that the choice of a signature is more ...

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