Product Rule for Tensors

$\mathcal{D}(A(X_1,\ldots,X_s)) = \mathcal{D}(C^2 (A \otimes X_1 \otimes X_2)) =$

$C^2(\mathcal{D} (A \otimes X_1 \otimes X_2)) =$

$C^2(((\mathcal{D}A) \otimes X_1 \otimes X_2) + (A \otimes \mathcal{D} X_1 \otimes X_2) + (A \otimes X_1 \otimes \mathcal{D} X_2)) =$

$(\mathcal{D}A)(X_1,X_2) + A(\mathcal{D} X_1,X_2) + A(X_1,\mathcal{D} X_2)$

Enter your comment here...

Fill in your details below or click an icon to log in:

Email (required) (Address never made public)

Name (required)

Website

You are commenting using your WordPress.com account. ( Log Out / Change )

You are commenting using your Twitter account. ( Log Out / Change )

You are commenting using your Facebook account. ( Log Out / Change )

You are commenting using your Google+ account. ( Log Out / Change )

Connecting to %s

%d bloggers like this:

Maths, Stats & Functional Programming