flat subset

  • 1Flat (geometry) — In geometry, a flat is a subset of n dimensional space that is congruent to a Euclidean space of lower dimension. The flats in two dimensional space are points and lines, and the flats in three dimensional space are points, lines, and planes.In n …

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  • 2Flat module — In abstract algebra, a flat module over a ring R is an R module M such that taking the tensor product over R with M preserves exact sequences.Vector spaces over a field are flat modules. Free modules, or more generally projective modules, are… …

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  • 3Holonomy — Parallel transport on a sphere depends on the path. Transporting from A → N → B → A yields a vector different from the initial vector. This failure to return to the initial vector is measured by the holonomy of the connection. In differential… …

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  • 4Matroid — In combinatorics, a branch of mathematics, a matroid (  /ˈmeɪ …

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  • 5Glossary of scheme theory — This is a glossary of scheme theory. For an introduction to the theory of schemes in algebraic geometry, see affine scheme, projective space, sheaf and scheme. The concern here is to list the fundamental technical definitions and properties of… …

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  • 6Convex cone — In linear algebra, a convex cone is a subset of a vector space over an ordered field that is closed under linear combinations with positive coefficients. A convex cone (light blue). Inside of it, the light red convex cone consists of all points… …

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  • 7Maxwell's equations — For thermodynamic relations, see Maxwell relations. Electromagnetism …

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  • 8Euclidean subspace — In linear algebra, an Euclidean subspace (or subspace of R n ) is a set of vectors that is closed under addition and scalar multiplication. Geometrically, a subspace is a flat in n dimensional Euclidean space that passes through the origin.… …

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  • 9Hierarchy — A hierarchy (Greek: hierarchia (ἱεραρχία), from hierarches, leader of sacred rites ) is an arrangement of items (objects, names, values, categories, etc.) in which the items are represented as being above, below, or at the same level as one… …

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  • 10Courant (Mathématiques) — Sommaire 1 Introduction 2 Topologie 3 Cas particuliers 4 Exemples 5 Bibliographie …

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