I'm incorrect because you say I'm incorrect? You're not the one with the wikipedia articles proving you right however.
You're hopeless, Warrior. Your inability to admit defeat is astounding.
I will make my analogy (that you seemed to completely look over, by the way) more understandable for you.
And Rolle's Theorem is a special case of the Mean Value Theorem. That doesn't make them the same thing. Just because two things are related doesn't mean they're completely synonymous.
Rolle's Theorem states: if
)
is continuous on a closed interval
and differentinable on the open interval
)
and
=f(b))
, then there is some number
in the open interval
such that
=0)
.
The Mean Value Theorem states: if
is continuous on a closed interval
and differentiable on the open interval
and then there exists some value
such that
=\frac{f(b)-f(a)}{b-a})
As you should be able to see, Rolle's theorem is merely a special case of the MVT. Does that make them equivilant? Identical? No, not at all. Just because something is a special case of some other thing does not make them the same thing. When someone tells you to solve a problem through recursion, you solve it through recursion, not looping. They're two separate things, even though they represent comparable concepts.
It doesn't matter if recursions are a form of infinite loops (
which, by the way, none of us have denied. You haven't made a point. You've simply pointed out something that all of us already know). As I surely hope you know, a loop in programming has a far less abstract meaning than you're allowing it to have. When someone tells you to write a loop, you better be typing the word "for" or "while."
