> It is NOT typically written as
>
>    exp(ix) = cos(x) + i sin(x)
>
> except when written in computer source code.

Isn't that just because in maths the brackets are usually left out with 
standard functions if it's obvious what the parameter is? For more 
complex parameters brackets are usually used to avoid any ambiguity.

When writing "user defined" functions like f(x) in maths you always use 
brackets.

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