Multilinear map
Multilinear map In linear algebra, a multilinear map is a mathematical function of several vector ... that is linear in each variable. A multilinear map of n variables is also ...
http://en.wikipedia.org/wiki/Multilinear_map - 5k - Cached - Similar pages

Talk:Multilinear map
Talk:Multilinear map It would be nice to define a multilinear map as a map of R-modules to an R- ...
http://en.wikipedia.org/wiki/Talk:Multilinear_map - 2k - Cached - Similar pages

Multilinear form
Multilinear form In multilinear algebra, a multilinear form is a map of the type $f:\; V^N\; ...\; its\; underlying\; field,\; the\; more\; general\; term\; "$multilinear map" is used, when talking about ...
http://en.wikipedia.org/wiki/Multilinear_form - 1k - Cached - Similar pages

Multilinear algebra
Multilinear algebra In mathematics, multilinear algebra extends the methods of linear algebra ... and develops the theory of vector spaces, multilinear algebra builds on the concept of a ... relationships. Historical background of the approach to multilinear algebra The subject itself has various roots ... more abstractly. The Bourbaki group's treatise Multilinear Algebra was especially influential — in ...
http://en.wikipedia.org/wiki/Multilinear_algebra - 9k - Cached - Similar pages

Category:Multilinear algebra
Category:Multilinear algebra Multilinear algebra extends the methods of linear algebra ... and develops the theory of vector spaces, multilinear algebra builds on the concept of a ... Monoidal categories T Tensors Pages in category "Multilinear algebra" There are 20 pages in this section of this category. Multilinear algebra A Algebraic form B Bilinear ...
http://en.wikipedia.org/wiki/Category:Multilinear_algebra - 2k - Cached - Similar pages

User:Fropuff/Draft 8
... product represents the most general bilinear (or multilinear) product. The study of tensors, tensor spaces ... products forms a branch of mathematics called multilinear algebra. Overview The tensor product can be ... spaces V, W, and X, a bilinear map is an function on the cartesian product ... or second argument results in a linear map. The tensor product on vectors is defined to be a bilinear map on V and W to a ...
http://en.wikipedia.org/wiki/User:Fropuff/Draft_8 - 16k - Cached - Similar pages

Exterior algebra
... K-algebra A and any K-linear map j : V → A such that j ... from V k to X is a multilinear map f: V k → X such that ... from (K n ) n to K. The map w: V k → Λ k (V ... is also anti-symmetric. In fact, this map is the "most general" anti-symmetric ...
http://en.wikipedia.org/wiki/Exterior_algebra - 26k - Cached - Similar pages

Determinant
... substitution rule for several variables, and in multilinear algebra. For a fixed positive integer n ... vectors. As a consequence, if the linear map $f:\; \backslash Bbb\{R\}^n\; \backslash rightarrow\; \backslash Bbb\; ...\; S)$. More generally, if the linear map $f:\; \backslash Bbb\{R\}^n\; \backslash rightarrow\; \backslash Bbb\; ...\; math>\; Properties\; The\; determinant\; is\; a\; multiplicative$map in the sense that $\backslash det(AB\; ...\; unambiguously\; define\; the\; determinant\; of\; any\; linear$map f : V → V, if V ...
http://en.wikipedia.org/wiki/Determinant - 34k - Cached - Similar pages

Cotangent space
... ∈ T p * M is a linear map φ : T p M→R The elements of ... f at a point p is the map df p (X p ) = X p (f ... either case, df p is a linear map on T p M and hence it ... p. We can then define the differential map d : C ∞ (M) → T p ... M at a point p as the map which sends f to df p . ...
http://en.wikipedia.org/wiki/Cotangent_space - 10k - Cached - Similar pages

List of mathematics articles (M-O)
... MANOVA -- Mantel test -- Mantissa -- Many-one reduction -- Map-coloring games -- Map (mathematics) -- Map projection -- Mapping -- Mapping class group -- Mapping cone ... million -- Millionth -- Mills' constant -- Milnor conjecture -- Milnor map -- Mimetic -- Min conflicts algorithm -- Min-entropy -- Min ... about the mean -- Moment-generating function -- Moment map -- Moment (mathematics) -- Moment of inertia -- Moment ( ...
http://en.wikipedia.org/wiki/List_of_mathematics_articles_(M-O) - 53k - Cached - Similar pages