I know that if you want to refer to the set $ A $ with the element $ x $ added, you can write $ A \cup \{x\} $. But is there a common shorthand for this?
[Math] shorthand notation for adding an element to a set
elementary-set-theorynotation
elementary-set-theorynotation
I know that if you want to refer to the set $ A $ with the element $ x $ added, you can write $ A \cup \{x\} $. But is there a common shorthand for this?
Best Answer
There is no particular notation that I am aware of.
If you have a particular set in mind you can always write something such as:
This is just a suggested notation, of course. Be careful that the readers won't confuse this with a function symbol (although it is a function symbol if you think about it). It might be easier to use $A_x$ in some cases (if font sizes are not bothering).
Whatever you do, though, write the explicit notation in your text.