Most people are idiots. You're quickly showing that you fall into that category. Even though I swore to myself that I was done providing useful information on APF, I will attempt to clarify the meaning of "deadheading" for you:

When your airline flies you somewhere for work, that is deadheading. When I had to go to STL for my PC, my airline deadheaded me there. When I was sitting reserve and had to pick up a trip out of base, my company would deadhead me to join the crew and trip already in progress. Pilots are paid to DH and are must-ride passengers.
Jumpseating and non-revving, however, are done by pilots for pleasure travel or to get to & from work. Not only are the pilots not paid for this, they sometimes have to pay for the privilege. JSing and non-revving pilots fly only if there is a seat available for them, as opposed to the guaranteed seat provided to DHers.

As an example:
When I worked for Trans States, there were occasions when I was scheduled to deadhead on GoJet so that the company could get me in place for a trip. Regardless of my feelings for GoJet, I had to go and they had to let me fly. When it came to my personal travel, however, I never once flew on a GoJet plane (nor have I since leaving TSA). Had I asked to jumpseat on a GoJet flight, the captain would have had the opportunity to deny me a seat if he had a good reason. Of course, I would have simply non-revved with my UA benefits, but that's an entirely different discussion.

I hope this clears up the difference between DHing and JSing. In the future, I suggest you stay away from using online dictionaries to define terms that are industry-specific, as the definitions are usually not quite right - or just plain WRONG.

Don't forget, kids: "Deadhead" is also the name given to fans of the Greatful Dead.