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 Post subject: tensor - Partial DifferentiationPosted: Wed, 16 Apr 2008 21:43:01 UTC
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Joined: Wed, 16 Apr 2008 18:30:11 UTC
Posts: 1
Location: Laval, Quebec, Canada
I have undertaken to learn Tensor Calculus and have come across the following problem which I have some understanding of, however, I also have a couple of questions to clarify. Here goes with the problem:

If the are constants, calculate the partial derivative of

The solution:

To begin with I did revert to notation:

where C is independent of

Differentiating with respect to :

Reverting to Einstein's summation convention:

Now, here are my questions:

Why does

and why does the term

Thank you kindly for your kind assistance

jg

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 Post subject: Re: tensor - Partial DifferentiationPosted: Thu, 17 Apr 2008 01:11:50 UTC
 Member of the 'S.O.S. Math' Hall of Fame

Joined: Sat, 18 Mar 2006 08:42:24 UTC
Posts: 834
jg371 wrote:

Now, here are my questions:

Why does

here means "constant with respect to" there's no in the above sum.

and why does the term

it doesn't vanish:

note that now the sums are over all j and i not only over and

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