Okay. I assume that we're all talking about the same thing -- the fuel valve. (I now have the manual in front of me.

) On my bike, the fuel valve lever (the handle/switch thingy I keep referring to) is pointing straight down at ON (let's say the 6:00 position). (And of course, at 9:00 is RES, and at 3:00 is PRI.) The lever hasn't been moved since I first got the bike in February.
WD, according to the manual, leaving it in the "PRI" position is dangerous because, it says here, "the carburetor may overflow and fuel may run into the engine. This can cause a fire or cause severe damage when you start the engine." The lever's pointing to "ON" on my bike, and I haven't had any fire or severe damage in the three months I've had the bike, so I'm guessing there's not a problem with the lever position, and there's no gas being pulled directly on the PRI circuit.
Kevin, I can't say for sure if the tank was
completely empty -- there may have been some in reserve that I couldn't access because I couldn't switch over, and that I couldn't see when I opened the gas tank cap. But it looked empty and definitely needed gas to get started again.
Anyway. Since the gas silliness, I haven't tried moving the fuel valve lever again. Kropatchek, I was thinking of doing something similar to what you suggested. Perhaps when I get home, can I try moving the lever to RES and then starting it, just to see if it'll move, and then when it starts, move it back to "ON"? (I'm not sure if PRI is a good idea, since I've ridden the bike since the time I ran out of gas, and the gas doesn't need to flow straight into the carburetor...?) Is there any reason why I shouldn't try this? (And after all this, wouldn't it be funny if it worked?

)
Clive, thanks for the torque/power definitions.

Reelthing, yeah, the bike doesn't seem to mind the speed ranges. I might pick it up a bit, as WD suggested.
Savage Rob -- yeah, I've been letting feel and circumstance dictate my shifting also. Of course, being completely new to riding, I just need to make sure I'm reacting correctly to said feel and circumstance. I love this bike and don't want to take any years off its life.
Thanks so much, everyone.