grounded - a conductor connected to the earth
Yeah, if you want to get really paranoid or anytime I work with a machine that costs more than $20K, I take a grounding mat place it on a table or non-carpeted floor (preferably a static disapating tile floor), plug it into the wall (the nice mats have a jack to ground them into a socket, with an LED to show that it is properly grounded), then take a wrist strap and plug it into the mat. If you are working on a system that is racked mounted, the rack should be grounded already, and instead of plugging the matt into the wall you attach the mat to the rack.
When working on expensive equipment you also want to wear either static disapating boots or grounding ankle straps on a static disapating surface.
At my last job where we worked with $5 million+ dollar machines we were required to where ankle straps or static disapating boots and we had to step on a machine and put our thumb against a metal button and the machine would tell us if we were sufficiently grounded.