Sunday, March 10, 2013

Why zero divided by zero is zero?


Why zero divided by zero is zero?

The rules governing the use of zero appeared for the first time in Brahmagupta's book Brahmasputha Siddhanta (The Opening of the Universe)

Rules of Brahmagupta:

1. The sum of zero and a negative number is negative.
2. The sum of zero and a positive number is positive.
3. The sum of zero and zero is zero.
4. The sum of a positive and a negative is their difference; or, if their absolute values are equal, zero.
5. A positive or negative number when divided by zero is a fraction with the zero as denominator.
6. Zero divided by a negative or positive number is either zero or is expressed as a fraction with zero as numerator and the finite quantity as denominator.
6. Zero divided by zero is zero.

In saying zero divided by zero is zero, Brahmagupta differs from the modern position.

Mathematicians normally do not assign a value to this, whereas computers and calculators sometimes assign NaN, which means "not a number." Moreover, non-zero positive or negative numbers when divided by zero are either assigned no value, or a value of unsigned infinity, positive infinity, or negative infinity. Once again, these assignments are not numbers, and are associated more with computer science than pure mathematics, where in most contexts no assignment is done.

Brahmagupta was the first to use zero as a number.
Do you know what can happen when a monkey uses a surgeon's knife?
This is what happen when current mathematicians use zero and infinity.

There is no surprise when such mathematicians refuse following math paper with calculations of different infinities.…

They feel uncomfortable to accept 'Baseless Riemann Hypothesis', because they do not know what they do with zero and infinity.

Additional Details

@Lincoln Lad,
Question is at the top. Read it, if not blind.
Then please answer the question, only if you know zero and infinity, instead of abusing the opportunity. Hope you are educated to contribute with some knowledge.


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