How to Create Mathematical Expressions That Simplify Into Words?

[zorro]

I have this Computer Science tech. fest coming up in my college. I am assigned to collect a few questions for a particular event. Basically the question should be a mathematical expression which on simplifying/integrating/differentiating or applying any other mathematical operation should reduce to something amazing (like a popular word).

ex: Simplify e^{b(y²...some characters)}

Simplifying this should give a word like e^bay.

Any ideas would be appreciated.

 

[jedishrfu]

there as a recent article at NPR on this very subject:

http://www.npr.org/blogs/krulwich/2012/01/10/144991340/don-t-make-me-do-this-the-equations-screamed

 

[zorro]

umm I think we can't use computers, it should be solvable manually.

 

[Xitami]

log[x]=b*a
x^y = ?

 

[zorro]

That's fine with the example I gave.
I need similar questions.

 

[Xitami]

$$\sum_{n=1}^\infty\frac{1}{2^n-1}\cdot\sum_{n=1}^{\infty}\frac{1}{n^3}\cdot\lim_{n \to \infty }\left(\sum_{k=1}^{n}\frac{1}{k}-\ln(n) \right )$$
$$E_B$$ http://en.wikipedia.org/wiki/Erdős–Borwein_constant
$$A$$http://en.wikipedia.org/wiki/Apéry's_constant
$$\gamma$$http://en.wikipedia.org/wiki/Euler–Mascheroni_constant

 

[zorro]

dats a great idea!
I made up another question :

(-1)^1/3.(-1)^(1/2+1/2).f(x) , where f(x) is any function with x=-1

This reduces to ωifi.

I am trying to find a question such that the expression reduces to Hack or Hacked or any other Computer related word. Can you help?

 

[Xitami]

$$6.626068 × 10^{-34}\frac{\log(-1)}{\pi} \left[\frac{m^2\quad kg}{s}\right]$$

 

[zorro]

Sorry I did not get that.
The first value is for 'h'.
Isn't log(-1) undefined?

 

[Xitami]

http://www.wolframalpha.com/input/?i=log(-1)

 

[Isaacsname]

http://en.wikipedia.org/wiki/Synethesia

:!) ?

 

[TylerH]

My calc I teacher showed us this one on the last day of class:
$$\int_0^{ice}\frac{x^2}{3}=(ice)^3$$
Ice cube.