# multivariable calculus – Is there a way to better write chains of multivariate functions?

In a single variable, if $$f, g, h$$ are functions with compatible domains and codomains, we use the notation $$f circ g circ h$$ to have a more readable version of $$f(g(h(x)))$$.

Now consider for example the function $$S(X,Y,Z)$$ where $$X(u,v), Y(u,v), Z(u,v)$$ are functions of 2 variables and $$u,v$$ are functions of the variable $$t$$. Writing the full composition of $$S$$ in terms of $$t$$ would involve a lot of parenthesis and is kinda hard to read.

Is there a similar notation convention to chain multivariate functions as there is for univariate ones?