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

<br /> a_{pq} = \chi_{(q, \infty)}(p)<br />

where
<br /> \chi_A(x) =<br /> \begin{cases}<br /> 0 &amp; \text{if} \; \; x \notin A \\<br /> 1 &amp; \text{if} \; \; x \in A \; .<br /> \end{cases}<br />
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&gt;0 and 0 for t&lt;0.

Some folks capitalize the U.

jason