grep question: how determine if the process is runing

[Donatas]

the easiest way to do so is using: ps aux | grep process_name
but the problem is that ubuntu 9.10 desktop shows me two processes:
1 is the one i need, and the 2nd is the grep process was used when i was
looking forward to find out my process state.

-- 
Su pagarba,
Donatas

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