# I have a multivariable function that is composed of six variables; four of these are constants C_

I have a multivariable function that is composed of six variables; four of these are constants ${C}_{1},{C}_{2},{C}_{3},{C}_{4}$ and the other two variables are x and y. The function is defined as follows
$Xi\left(x,y,{C}_{1},{C}_{2},{C}_{3},{C}_{4}\right)$ I would like to find the maximum value of $Xi$ over $x\in \left\{-\mathrm{\infty },\mathrm{\infty }\right\}$ and $y\in \left\{-\mathrm{\infty },\mathrm{\infty }\right\}$. What is the rigorous mathematical notation I should use to describe this. Is this fine:
$max\left\{Xi\left(x,y,{C}_{1},{C}_{2},{C}_{3},{C}_{4}\right)\right\}$
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Joy Compton
If it uses four constants, isn't it just a function of 2 variables?
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Kingston Gates
First, don't include the constants in your function. You can just say $Xi\left(x,y\right)$. I think it's pretty clear what you're saying if you say max, and include the intervals of x and y.