Are you saying that for frenchtoaststicks: D -> R, D being a subset of R, full being an accumulation point of D, for every epsilon > 0 there exists a real number delta > 0 such that |frenchtoaststicks - 8| < epsilon when 0 < |gslaves - full| < delta and gslaves is an element of D?
"There's a delta for every epsilon, It's a fact that you can always count upon. There's a delta for every epsilon And now and again, There's also an N.
But one condition I must give: The epsilon must be positive A lonely life all the others live, In no theorem A delta for them.
How sad, how cruel, how tragic, How pitiful, and other adjec- tives that I might mention. The matter merits our attention. If an epsilon is a hero, Just because it is greater than zero, It must be mighty discouragin' To lie to the left of the origin.
This rank discrimination is not for us, We must fight for an enlightened calculus, Where epsilons all, both minus and plus, Have deltas To call their own."
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*sigh* Yes, it's midterm day. :(
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It's a fact that you can always count upon.
There's a delta for every epsilon
And now and again,
There's also an N.
But one condition I must give:
The epsilon must be positive
A lonely life all the others live,
In no theorem
A delta for them.
How sad, how cruel, how tragic,
How pitiful, and other adjec-
tives that I might mention.
The matter merits our attention.
If an epsilon is a hero,
Just because it is greater than zero,
It must be mighty discouragin'
To lie to the left of the origin.
This rank discrimination is not for us,
We must fight for an enlightened calculus,
Where epsilons all, both minus and plus,
Have deltas
To call their own."
- Tom Lehrer, "There's a Delta for Every Epsilon"
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and hydrogen, and oxygen, and nitrogen, and rhenium..."
Sing along, Pinsky! You know the words!
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