"If f is continuous on [a,b] and K is any number between f(a) and f(b), then there is at least on number c in the interval (a,b) s.t. f(c)=K"
-Salas et al "Calculus: one variable" 8th edition
I was thinking about this in the context of my cup of tea this evenning. It is funny how the mind plays little tricks on us. In my mind I know a time where the tea is too hot, and then a time where it is too cold, so I imagine that there is a time when the tea is at just the right temperature. I may never have even drank tea at said temperature, but in my mind's-eye, I know I have.
Kinda like life...
Blackbird singing in the dead of night
13 years ago
1 comment:
zev, come teach my math class ;) (halevai they should be learning, gasp, theorems...)
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