Multi-dimensional summation operator

Asked Sep 25 '17 at 23:22

Active Sep 25 '17 at 23:22

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For example we could simplify $$\int_{x\in X}\int_{y\in Y}fdxdy$$

$$\int_{v\in A}fdv$$

Can we simplify the summation operation $\sum_{i\in \mathbb N}\sum_{n\in\mathbb N}a_{in}$ in a similar way?

I heard about symbols such as $\sum\oplus$ but I am not sure if they are relavent.

asked Sep 25 '17 at 23:22

High GPA

1

How about $\sum_{{\bf k}\in S}a_{\bf k}$? – caverac Sep 25 '17 at 23:36
@caverac I like it but are you sure that this is legit? – High GPA Sep 25 '17 at 23:39
Here is an example – caverac Sep 25 '17 at 23:41
@caverac Which line is that? Btw I am guessing that that something like $\sum_{k\in \mathbb N^2}$ is legit. – High GPA Sep 25 '17 at 23:43
$$\sum_{{\bf n} = {\bf 0}}^{{\bf N} - 1} e^{2\pi i {\bf n}\cdot {\bf k}/{\bf N}}X_{\bf k} $$ – caverac Sep 25 '17 at 23:45

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