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Monthly Archives for March, 2013

How to solve a Rubik's cube while juggling

Posted on: March 3rd, 2013 by
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Cannot resist posting this video :-)  

Uncountability of real numbers - a simple proof

Posted on: March 2nd, 2013 by
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In this article, I wish to show a simple elementary proof that there cannot exist any bijection between the set of real numbers \mathcal{R} and the set of natural numbers \mathcal{N}. This proof is popularly known as Cantor's diagonal proof. Here's the proof. Firstly I claim that there exists a bijection from the unit interval (0,1) to \mathcal{R}. Note that the unit interval   (0,1) is the set of Continue reading the story "Uncountability of real numbers - a simple proof"

Fair price of an option

Posted on: March 1st, 2013 by
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This problem is supposed to teach you more about how to invest using options in the stock market. Suppose a certain stock of a company is currently selling at $10. Suppose that tomorrow the price of the stock will be

X=\left\{\begin{array}{cc}\$12, & \text{with probability  } 3/4 \\ \$8, & \text{with probability  } 1/4 \\ \end{array}\right.

Suppose there is an options bet associated with the stock Continue reading the story "Fair price of an option"

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