01/01/2008, 05:57 PM
I just wanted to show off a paper. I wrote this for my English class, because my teacher required we write a paper in the subject of our major, and since my major is math, I decided to do something that interests me.
I left a few applications out due to the length of the paper with them included, some of the applications I know about, but either omitted or I wish I could talk more about:
Any spelling errors, corrections, comments, would be most welcome.
Here's the paper: Applications of Iterated Exponentials.
Andrew Robbins
PS. Happy New Year!
I left a few applications out due to the length of the paper with them included, some of the applications I know about, but either omitted or I wish I could talk more about:
- Applications of the super-logarithm to population modeling.
- Applications of the Lambert W function \( (W(x) = {}^{\infty}(e^{-x})x) \) related to tetration.
- Hierarchies of height m on n nodes (trees with labeled leaves) \( (DE_e^m(x))^{(n)}(0) \)
- Forests of height less than m on n nodes (trees with labeled nodes and unlabeled root) \( (x \rightarrow {}^m{(e^x)})^{(n)}(0) \)
- Trees of height m on n nodes (trees with labeled nodes and labeled root) \( (x \rightarrow {}^m{(e^x)}x)^{(n)}(0) \)
- Who knows what this generates! OIES has no applications. \( (x \rightarrow {}^{m}x)^{(n)}(1) \)
- Fictional animal chase (Devaney's "Playing catchup with iterated exponentials")
- Fictional corporate policy (a story I wrote)
Any spelling errors, corrections, comments, would be most welcome.
Here's the paper: Applications of Iterated Exponentials.
Andrew Robbins
PS. Happy New Year!