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!

Einstein Notation

  1. Jul 4, 2009 #1
    From what I'm reading, Xj = aijXi (X is a vector and the subscript for a is i)...though I'm not sure where the aijXi came from. Would this by any chance be a relation for the transformation equations from Xj to Xi?
     
    Last edited: Jul 4, 2009
  2. jcsd
  3. Jul 4, 2009 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Yes, [itex]x^j[/itex] and [itex]\underline{x}^i[/itex] are vectors. [itex]a_i^j[/itex] is a mixed tensor of order 2. It's not clear to me what you mean by "given a vector summation" but on the right side of the equation there certainly is a summation: The "Einstein convention" is that when an index is repeated, once as a subscript and once as a superscript, you sum over all values of that index.
     
  4. Jul 4, 2009 #3
    I see. Thanks for the assistance.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Einstein Notation
  1. Notation (Replies: 2)

  2. Order notation (Replies: 3)

  3. Notation question (Replies: 4)

Loading...