If the codomain of a multilinear map is the field of scalars, it is called a multilinear form.
22.
Comprehension of Grassmann awaited the concept of vector spaces which then could express the multilinear algebra of his extension theory.
23.
This focus on environmental adaptation is based on the cultural ecology and multilinear evolution ideas of anthropologists such as Julian Steward.
24.
Actually, if such an argument holds, it should also hold when other multilinear forms instead of determinant is used.
25.
Every framed trace diagram corresponds to a multilinear function between tensor powers of the vector space " V ".
26.
The topic of multilinear algebra is applied in some studies of multivariate calculus and manifolds where the Jacobian matrix comes into play.
27.
*PM : symmetric multilinear function, id = 8269 new !-- WP guess : symmetric multilinear function-- Status:
28.
*PM : symmetric multilinear function, id = 8269 new !-- WP guess : symmetric multilinear function-- Status:
29.
These properties mean that the determinant is an alternating multilinear function of the columns that maps the identity matrix to the underlying unit scalar.
30.
A major advance in multilinear algebra came in the work of Gregorio Ricci-Curbastro and Tullio Levi-Civita ( see references ).
