desmos
My input in Desmos function grapher is:
1. f(x,y)=x+y
2. f(x,y,z)=x+y+z
3. f(x,1)
4. f(x,2,3)
but it alerts me the following error/warning:
You've defined 'f' in more than one place. Try picking a different variable, or deleting some of the definitions of 'f'.
Is there a special/unique syntax to note/tell Desmos that I want to overload function f?
When Desmos looks at your third expression, it sees something like (ignoring a lot):
Mathematically speaking, this would be bad notation, so Desmos throws an error. The developers put a lot of thought into balancing expectations of math teachers/students and programmers/computer scientists (c.f. Logs and Infinities), and I think they made the right call here.
You can make use of the total() function to get the result you want:
![total([1...n])](https://i.stack.imgur.com/3Y852.png)
From Change Color or Style (UNTESTED - I think you would need to be signed in, or click on Edit List (the gear icon) first):
To change the color or style of an expression, long-hold the colored icon to the left of the expression. Clicking the icon will hide or show the expression.
Best Answer
No, overloading is not supported. I threw together a hack that may work for you, using a list as input: Fake Function Overloading.