Talk:Multi-index notation

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[edit] Derivative Notation

The article uses the :D notation for derivatives. In most microlocal analysis literature :\part is used instead, and :D means something else. Specifically;

\part^{\alpha} := \part_{1}^{\alpha_{1}} \part_{2}^{\alpha_{2}} \ldots \part_{n}^{\alpha_{n}} where \part_{x_i}^{m}:=\part^{m} / \part x_{i}^{m}

And :D is defined by;

D_{x_i}^{m}:=(-i)^m \part^m / \part x_i^m

So

D^{\alpha} := D_{1}^{\alpha_{1}} D_{2}^{\alpha_{2}} \ldots D_{n}^{\alpha_{n}}:= (-i)^{|\alpha|} \part^\alpha

However, I'm not sure if this is how it is in other branches of mathematics.

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