Thursday, September 23, 2010

A Cricket Fan's proof of why infinity*0 is indefinite

I have a hypothesis ( which i won't prove). The hypothesis states that cricket fans on an average are better at arithmetic than football fans. Note i mentioned arithmetic and not mathematics. The reason for my hypothesis is straightforward, a cricket fan is usually always calculating future scenarios. What if he hits a 6 the run rate will become 5.4 or if he makes 10 runs in next over required run rate comes down to 4.6 etc. etc.

Probably its just me who does that. Since i am never going to make a serious attempt at proving my hypothesis (which would be to make sample groups of cricket and non cricket fans and average their high school mathematics grade etc etc) I will leave my hypothesis open to discussion.

I have this passion of trying to calculate net effect of run rate on each ball ( as well as find inflection points on all line graphs they show on television).

One fine day as a kid in class 10th i realised that the batsman scores at an infinite rate (India was probably chasing some hopeless target) when there is a no or wide ball. 1 run in 0 balls is infinite scoring rate. However since the number of balls bowled is 0 the net addition of runs to the total is only 1. Suppose the batsman scores an additional single in the no ball. Scoring rate is still infinite. However since the number of balls is 0 the addition of runs is only 2.

In the first case     : infinity*0=1
In the second case: infinity*0=2

Leading me to the conclusion that infinity*0 is indefinite.

To a graduate this may seem trivial, but try this explanation to a youngster who heard that infinity *0 is indefinite. I am sure it will be a revelation to him. Make sure u don't end up explaining 0/0 as 1 because that is wrong.











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