5:33 so the coordinate tuple dot product'd with the corresponding basis tuple results in same value so long as it is the same vector space. Fascinating dot product insight.
And that seems rather important considering we are talking about fields here and are interested wether they are isomorphic as fields and not only as vectorspaces xd.
5:33 so the coordinate tuple dot product'd with the corresponding basis tuple results in same value so long as it is the same vector space. Fascinating dot product insight.
Adjoin? More like "Amazing lectures, and in on this abstract algebra journey, I'm glad I could join!" 👍
E_1 and E_2 are in fact isomorphic as algebras, not just as vector spaces.
And that seems rather important considering we are talking about fields here and are interested wether they are isomorphic as fields and not only as vectorspaces xd.
Same (similarity) is dual to difference.
Injective is dual to surjective synthesizes bijection or isomorphism.
"Always two there are" -- Yoda.