Vector space/Related Articles: Difference between revisions
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imported>Richard Pinch (→Subtopics: refine links) |
imported>Boris Tsirelson (→Parent topics: Space (mathematics)) |
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{{r|abstract algebra}} | {{r|abstract algebra}} | ||
{{r|module (mathematics)}} | {{r|module (mathematics)}} | ||
{{r|Space (mathematics)}} | |||
==Subtopics== | ==Subtopics== | ||
Revision as of 14:09, 28 July 2009
- See also changes related to Vector space, or pages that link to Vector space or to this page or whose text contains "Vector space".
Parent topics
- Linear algebra [r]: Branch of mathematics that deals with the theory of systems of linear equations, matrices, vector spaces, determinants, and linear transformations. [e]
- Vector [r]: Please do not use this term in your topic list, because there is no single article for it. Please substitute a more precise term. See vector (disambiguation) for a list of available, more precise, topics. Please add a new usage if needed.
- Scalar [r]: Real or complex number, or an invariant under orthogonal/unitary transformation of reference frame. [e]
- Abstract algebra [r]: Branch of mathematics that studies structures such as groups, rings, and fields. [e]
- Module (mathematics) [r]: Add brief definition or description
- Space (mathematics) [r]: A set with some added structure, which often form a hierarchy, i.e., one space may inherit all the characteristics of a parent space. [e]
Subtopics
- Linear combination [r]: Expression of first order, composed of the sums and differences of elements with coefficients in a field, such as the field of real numbers. [e]
- Linear independence [r]: The property of a system of elements of a module or vector space, that no non-trivial linear combination is zero. [e]
- Span (algebra) [r]: Add brief definition or description
- Basis (linear algebra) [r]: A set of vectors that, in a linear combination, can represent every vector in a given vector space or free module, and such that no element of the set can be represented as a linear combination of the others. [e]
- Dimension (vector space) [r]: The number of elements in any basis for a vector space. [e]
- Linear transformation [r]: Add brief definition or description
- Matrix representation [r]: Add brief definition or description
- Linear representation [r]: Add brief definition or description
- Normed linear space [r]: Add brief definition or description
- Inner product space [r]: A vector space that is endowed with an inner product and the corresponding norm. [e]