Talk:Euler reciprocity relationship

It's a nice page, but what exactly is the Euler Reciprocity relationship? The last formula? A little more explanation between the formulas wouldn't harm. By the way, I took the liberty of changing your δ symbols to $$\partial$$ assuming you meant partial derivatives. CompuChip 18:59, 12 November 2006 (UTC)

Also, provided that the above equation is continuous, I assume you mean; provided that the above equation holds which is equivalent to provided that z is continuous. Also, I think the notation with subscripts for variables kept constant in the differentation is more of a physicist thing than a mathematicians thing. CompuChip 19:05, 12 November 2006 (UTC)

From a mathematical point of view, I suppose, there's no need to mention that x is kept constant in $$ \partial z/\partial y $$. This is part of the definition of partial differentiation. Is the formula really $$ \partial A/\partial y = \partial A/\partial x$$. I got $$ \partial A/\partial y = \partial B/\partial x$$, but that is almost trivial(?). It could be good to illustrate the claim with some examples. A added the assumption that z should be twice continuously differentiable. It is needed to apply Clairaut's theorem. However, this entry still needs some work. Haseldon 08:57, 13 November 2006 (UTC)


 * The point in question is already covered on closed and exact forms. Charles Matthews 23:57, 17 December 2006 (UTC)