# Summation notation

gnome
Is

$$\sum_{u,v} H_{i-u,j-v}F_{u,v}$$

the same as

$$\sum_u\sum_v H_{i-u,j-v}F_{u,v}$$

?

Last edited:

It's written that way to save space. Similar to writing $$\int f \, dV$$ rather than $$\int \int \int f \, dx\, dy\, dz$$