Yes it is shown, but is it worth it?
I have the habbit of reducing the slider to get the gold back instead of carrying over the research. I might not be right but it seems to be more beneficial.
Being worth it or not is a question of: at the time you are down to one turn to go on research, do you need the gold coin (so change the slider), or do you need the lightbulbs to carry over (keep slider the same)?
I dont see how it can be more beneficial to not allow an overflow of bulbs as a gaming habit. All the slider does is translate the commerce points your whole empire is building in to either coins, lightbulbs (or later culture). Therefore, if you shift the slider towards more coins, what you gain in coins, you lose in bulbs. Thats not more, or less, beneficial.
Consider this: if you keep the slider the same, then each time you gain a tech and allow the overflow to go in to the next tech, you get that new tech a wee bit quicker. And so on and so on. You do not lose out in anyway. You wont get the coins rolling in as fast but that is a decision you make through out the game.
As I understand in CivIII you would lose out because overflow did not carry. Civ IV significantly differs here.
Adjusting the slider
does not reduce or increase the commerce (golden coloured circles you get for working a square). Adjusting the slider
does affect the gold coins you get to pay for your economy. 100 gold circles per turn, with the slider at 100% science, gets you nil gold coins and 100 bulbs. Changing the slider to 70% science, gets you 30 gold coins and 70 bulbs. All your gold circles are used and if only 30 bulbs are needed for the next tech, the tech after would have a head start with 40 bulbs. They are not wasted - they just arent coins unless you decide to change the slider.
Changing the slider at that critical point is not more or less beneficial therefore - change it if you need more coins, leave it if you need the bulbs. Both are useful depending on your circumstances.