1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Is this a 4-linear form ?

  1. Aug 23, 2007 #1
    Is this a 4-linear form ??

    rather a silly question, but i am a bit confused , could we consider the expression

    [tex] x^{2}-y^{2}+3xy-x^{4}+5y^{4}+ z^{4}-2t^{4}+3xyzt-6x^{2}tz+ 5x^{2}y^{2} [/tex]

    or even in general [tex] A_{i,j}x^{i}x^{j}-Q_{i,j,k,l}x^{i}x^{j}x^{k}x^^{l} [/tex]

    could be considered a 4-linear form??.. i believe this is linear on every argument x^{i} but there seems to be 'mixed up' a 2-from plus a 4-form so i,m not sure what exactly is the proposed object.
     
  2. jcsd
  3. Aug 23, 2007 #2

    mathman

    User Avatar
    Science Advisor
    Gold Member

    The usual label for such expressions is 4th degree polynomial in 4 variables.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Is this a 4-linear form ?
  1. 4 dimensions (Replies: 47)

Loading...