1. Jul 4, 2009 #1

   Gear300

   

   From what I'm reading, X^j = a_i^jXⁱ (X is a vector and the subscript for a is i)...though I'm not sure where the a_i^jXⁱ came from. Would this by any chance be a relation for the transformation equations from X^j to Xⁱ?

    

   Last edited: Jul 4, 2009

   Gear300, Jul 4, 2009
2. 
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3. Jul 4, 2009 #2

   HallsofIvy

   

   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.

    

   HallsofIvy, Jul 4, 2009
4. Jul 4, 2009 #3

   Gear300

   

   I see. Thanks for the assistance.

    

   Gear300, Jul 4, 2009

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