Let ε < 0.

09.10.09

Mathematical limericks, vol. 2

Filed under: Harmonic analysis — Travis @

Number crunching

‘Tis a favorite project of mine
A new value of pi to assign.
I would fix it at 3
For it’s simpler, you see,
Than 3.14159…

If inside a circle a line
Hits the center and goes spine to spine
And the line’s length is d
the circumference will be
d times 3.14159…

If (1+ x) (real close to 1)
Is raised to the power of 1
Over x, you will find
Here’s the value defined:
2.718281…

In arctic and tropical climes,
The integers, addition, and times,
Taken (mod p) will yield
A full finite field,
As p ranges over the primes.

If n in a Taylor series
Goes 2 to 11 by threes
For n = 1
Convergence is done
‘Twixt 0 and 2, I believe.

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