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    Mathematical structure - Wikipedia

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

    In mathematics, a structure is a set endowed with some additional features on the set (e.g. an operation, relation, metric, or topology). Often, the additional features are attached or related to the set, so as to provide it with some additional meaning or significance. A partial list of possible structures

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    In 1939, the French group with the pseudonym Nicolas Bourbakisaw structures as the root of mathematics. They first mentioned them in their "Fascicule" of Theory of Sets and expanded it into Chapter

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    The set of real numbers has several standard structures:
    • An order: each number is either less or more than any other number.
    • Algebraic structure: there are

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  2. Structure (mathematical logic) - Wikipedia

    https://en.wikipedia.org/wiki/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 with no relation symbols.

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  3. Mathematical structure - HandWiki

    https://handwiki.org/wiki/Mathematical_structure

    In mathematics, a structure is a set endowed with some additional features on the set (e.g. an operation, relation, metric, or topology). Often, the additional features are attached or related to the set, so as to provide it with some additional meaning or significance.

  4. mathematical structure - Wiktionary

    https://en.wiktionary.org/wiki/mathematical_structure

    mathematical structure (plural mathematical structures) (mathematics) A set together with a collection of mathematical objects such as other sets, relations or operations which endow it with additional structure. See also . algebraic structure; group; ring; field; topological space

  5. Mathematics - Simple English Wikipedia, the free encyclopedia

    https://simple.wikipedia.org/wiki/Mathematics

    Mathematics is the study of numbers, shapes and patterns. The word comes from the Greek word "μάθημα" (máthema), meaning "science, knowledge, or learning", and is sometimes shortened to maths (in England, Australia, Ireland, and New Zealand) or math (in the United States and Canada). The short words are often used for arithmetic, geometry or algebra by students and …

  6. Structure mathématique - Mathematical structure - abcdef.wiki

    https://fr.abcdef.wiki/wiki/Mathematical_structure

    Mathematical structure. Pour la notion de «structure» en logique mathématique , voir Structure (logique mathématique) . En mathématiques , une structure est un ensemble doté de certaines fonctionnalités supplémentaires sur l'ensemble (par exemple une opération , une relation , une métrique ou une topologie ).

  7. Data structure - Simple English Wikipedia, the free ...

    https://simple.wikipedia.org/wiki/Data_structure

    In computer science, an array data structure or simply an array is a data structure consisting of a collection of elements (values or variables), each identified by at least one array index or key. An array is stored so that the position of each element can be computed from its index tuple by a mathematical formula.

  8. Structure (logique mathématique) — Wikipédia

    https://fr.wikipedia.org/wiki/Structure_(logique_mathématique)

    En logique mathématique, plus précisément en théorie des modèles, une structure est un ensemble muni de fonctions et de relations définies sur cet ensemble. Les structures usuelles de l'algèbre sont des structures en ce sens. On utilise également le mot modèle comme synonyme de structure (voir Note sur l'utilisation du mot modèle).

  9. Mathematical Structures - Chapman University

    https://math.chapman.edu/~jipsen/structures

    04/05/2021 · The webpages collected here list information about classes of mathematical structures. The aim is to have a central place to check what properties are known about these structures. These pages are currently still under construction. Initially the main content concerns mostly first-order classes of relational structures and, more particularly, ...

  10. An Introduction to Mathematical Structure

    https://nrich.maths.org/2769

    There are lots of different sorts of mathematical structure: semigroups, groups, rings, fields, modules, groupoids, vector spaces, and so on and so on. They're all based on the same insight: that when something interesting (like the integers) turns up, you should try to work out what the basic facts about it are that make it interesting, and then look for other things that share those …

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