How to Create Mathematical Expressions That Simplify Into Words?

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The discussion revolves around creating mathematical expressions that simplify to recognizable words or terms, particularly those related to technology or computing. Participants share examples and seek ideas for similar expressions. One example provided is e^{b(y2...some characters)}, which simplifies to "ebay." The requirement is that these expressions must be solvable manually, without computer assistance. Various mathematical concepts are mentioned, including limits, series, and constants like the Euler-Mascheroni constant. A notable example discussed is the integral that simplifies to "ice cube." The goal is to find expressions that can reduce to words like "Hack" or "Hacked." The conversation emphasizes creativity in mathematical problem-solving while adhering to specific constraints.
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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 ebay.

Any ideas would be appreciated.
 
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umm I think we can't use computers, it should be solvable manually.
 
log[x]=b*a
x^y = ?
 
That's fine with the example I gave.
I need similar questions.
 
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?
 
Last edited:
6.626068 × 10^{-34}\frac{\log(-1)}{\pi} \left[\frac{m^2\quad kg}{s}\right]
 
Sorry I did not get that.
The first value is for 'h'.
Isn't log(-1) undefined?
 
  • #12
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.
 
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