Recent content by Baggins

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    Undergrad Difference between a vector space and a field?

    That makes a lot of sense, thanks! So, am I now correct in thinking that vector spaces model linearity so well, because things that are being scalar multiplied depend on elements from another set?
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    Undergrad Difference between a vector space and a field?

    I had the same the question originally posed in this thread. I now understand why vector spaces and fields in general are distinct algebraic structures, however, I am still curious about what vector spaces are used for exclusively that other algebraic structures aren't?