Nonexamples!
pi goes on and on and on …
And e is just as cursed.
I wonder: Which is larger
When their digits are reversed?
Chebychev said it and I’ll say it again:
There’s always a prime between n and 2n.
Man has pondered
Since time immemorial
Why 1 is the value
Of zero-factorial.
Three jolly sailors from Blaydon-on-Tyne
They went to sea in a bottle by Klein.
Since the sea was entirely inside the hull
The scenery seen was exceedingly dull. [FW]
Little Willie was a Chem-E,
Little Willie is no more.
What Willie thought was H2O
Was really H2SO4. [CR]
When calculating polynomial degree,
The minimum value it can be
Is “1″ plus the number of bends.
And remember this too my friends:
The polynomial’s degree is only even
If its graph enters the same side its leavin’.
References
[CR] by Crifton Robinson.
[FW] by Frederick Windsor, from The Space Child’s Mother Goose, 1958.
About the 2nd one — isn’t this *Bertrand*’s postulate?
Comment by R. — 01.7.10 @