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  2. Tuple relational calculus - Wikipedia

    en.wikipedia.org/wiki/Tuple_relational_calculus

    Tuple calculus is a calculus that was created and introduced by Edgar F. Codd as part of the relational model, in order to provide a declarative database-query language for data manipulation in this data model.

  3. Tuple - Wikipedia

    en.wikipedia.org/wiki/Tuple

    A 1-tuple and a 2-tuple are commonly called a singleton and an ordered pair, respectively. The term "infinite tuple" is occasionally used for "infinite sequences". Tuples are usually written by listing the elements within parentheses "( )" and separated by commas; for example, (2, 7, 4, 1, 7) denotes a 5-tuple. Other types of brackets are ...

  4. QUEL query languages - Wikipedia

    en.wikipedia.org/wiki/QUEL_query_languages

    QUEL is a relational database query language, based on tuple relational calculus, with some similarities to SQL.It was created as a part of the Ingres DBMS effort at University of California, Berkeley, based on Codd's earlier suggested but not implemented Data Sub-Language ALPHA.

  5. Codd's theorem - Wikipedia

    en.wikipedia.org/wiki/Codd's_theorem

    Assuming different domains, i.e., sets of atomic data items from which tuples can be constructed, this query returns different results and thus is clearly not domain independent. Codd's Theorem is notable since it establishes the equivalence of two syntactically quite dissimilar languages: relational algebra is a variable-free language, while ...

  6. Calculus (disambiguation) - Wikipedia

    en.wikipedia.org/wiki/Calculus_(disambiguation)

    Join calculus, a theoretical model for the design of distributed programming languages; π-calculus, a formulation of the theory of concurrent, communicating processes; Relational calculus, a calculus for the relational data model Domain relational calculus; Tuple calculus; Refinement calculus, a way of refining models of programs into ...

  7. Multi-index notation - Wikipedia

    en.wikipedia.org/wiki/Multi-index_notation

    Multi-index notation is a mathematical notation that simplifies formulas used in multivariable calculus, partial differential equations and the theory of distributions, by generalising the concept of an integer index to an ordered tuple of indices.

  8. Calculus - Wikipedia

    en.wikipedia.org/wiki/Calculus

    Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of ...

  9. List of formal systems - Wikipedia

    en.wikipedia.org/wiki/List_of_formal_systems

    Join calculus, a theoretical model for the design of distributed programming languages; π-calculus, a formulation of the theory of concurrent, communicating processes, that was invented by Robin Milner; Relational calculus, a calculus for the relational data model Domain relational calculus; Tuple calculus, inspired the SQL language