Does a symbol exist for this operation?

[brydustin]

(*)_pq = 1 if p> q else 0

This is kinda like kronecker delta in that its a relational operation. Any clue?

 

[spamiam]

(*)_pq = 1 if p> q else 0

This is kinda like kronecker delta in that its a relational operation. Any clue?

I think something with characteristic functions would work. Maybe something like

$$a_{pq} = \chi_{(q, \infty)}(p)$$

where
$$\chi_A(x) =<br /> \begin{cases}<br /> 0 & \text{if} \; \; x \notin A \\<br /> 1 & \text{if} \; \; x \in A \; .<br /> \end{cases}$$
Does that help? Are p and q real numbers?

 

[jasonRF]

the Heaviside step function can also be used for this (just a special case of a characteristic function):

$u(t)$ is 1 for $t>0$ and 0 for $t<0$.

Some folks capitalize the U.

jason