Tuesday, February 23, 2010

Division by Zero (Part I)

Last time we obtain a Division by Zero error, so today we are going to learn more about it and explain why we get a division by zero error in the formula.



"In mathematics, a division is called a division by zero if the divisor is zero. Such a division can be formally expressed as n/0 where a is the dividend. Whether this expression can be assigned a well-defined value depends upon the mathematical setting. In ordinary (real number) arithmetic, the expression has no meaning."
Division by Zero from Wikipedia, the free encyclopedia.

As wiki said, Division by Zero means a division with a divisor of zero. Bhaskara Achārya tried to solve the problem by defining (in modern notation):
.
This makes some sense. You can check out this website if you want to know how it's proved.

Division by zero error can cause serious accidents. For example, On September 21, 1997, a divide by zero error on board the USS Yorktown (CG-48). Remote Data Base Manager brought down all the machines on the network, causing the ship's propulsion system to fail.

So, how did Division by Zero error occur in the formula??

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