What are some examples of notation that really improved mathematics? I've always felt that the concise, suggestive nature of the written language of mathematics is one of the reasons it can be so powerful.  Off the top of my head I can think of a few notational conventions that simplify problem statements and ideas, (these are all almost ubiquitous today):


*

*$\binom{n}{k}$ 

*$\left \lfloor x \right \rfloor$ and $\left \lceil x \right \rceil$

*$\sum f(n)$

*$\int f(x) dx$

*$[P] = \begin{cases} 1 & \text{if } P \text{ is true;} \\ 0 & \text{otherwise} \end{cases}$ 


The last one being the Iverson Bracket.  A motivating example for the use of this notation can be found here.
What are some other examples of notation that really improved mathematics over the years?  Maybe also it is appropriate to ask what notational issues exist in mathematics today?
EDIT (11/7/13 4:35 PM): Just thought of this now, but the introduction of the Cartesian Coordinate System for plotting functions was a HUGE improvement!  I don't think this is outside the bounds of my original question and note that I am considering the actual graphical object here and not the use of $(x,y)$ to denote a point in the plane.

Commutative diagrams! Their use revolutionized whole areas of mathematics and probably paved the way to the discovery-invention of category theory.
See this discussion on MO. 
