The first two properties make a bilinear map of the abelian group.
2.
This bilinear map is unique up to isomorphism.
3.
Let T by a bilinear map that is also linear in both its arguments.
4.
The & otimes; operation is a bilinear map; but no other conditions are applied to it.
5.
A multilinear map of one variable is a linear map, and of two variables is a bilinear map.
6.
A dual pair generalizes this concept to arbitrary vector spaces, with the duality being expressed as a bilinear map.
7.
Boneh, Boyen and Shacham published in 2004 ( " BBS04 ", Crypto04 ) is a novel group signature scheme based on bilinear maps.
8.
The latter Banach space is naturally isometrically isomorphic with \ scriptstyle L ^ 2 ( U \ times A, B ) ), the space of bounded bilinear maps.
9.
The set of all bilinear maps is a linear subspace of the space ( viz . vector space, module ) of all maps from into " X ".
10.
Using the bilinear map, semi norms can be constructed to define a polar topology on the vector spaces and turn them into locally convex spaces, generalizations of normed vector spaces.
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