# shorthand notation numerical integration

Is there a shorthand for a numerical integration operator? Basically I have some Gaussian quadrature rule $$\int_\Omega f(x) \mathrm d x \approx \sum_i^N f(x_i) \omega_i$$ and instead of writing the right hand side and messing with indices, I would like to have some shorthand notation like $$\mathcal{N}\int_\Omega f(x) \mathrm d x.$$ I was wondering if there is a standard for that or if I have to define my own?

• I think you notation is a perfectly good choice. I personally have never seen special notation. – user14717 May 3 '17 at 20:33

I'm pretty sure there is no standard. A typical notation I've seen is $I_N(f)$; other parameters can be included if they are relevant, e.g. you might have $I_N(f; a,b)$ if $a$ and $b$ are the endpoints of the interval and are not fixed in the case at hand. You can define your own notation, but make sure to include the definition when you use it.