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Writing the unwritable: up-arrow notation

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http://plus.maths.org/content/writing-un...w-notation

EXCERPT: We recently published an article about one of our very favourite numbers: Graham's number. One of the reasons we love it is that this number is big. So big in fact that the observable Universe is not big enough to write the number out in full. But it isn't just big, it's also precisely defined. And in order to define such mind-bendingly huge numbers you need a new way to write them down.

Graham's number can be exactly expressed thanks to an ingenious notation developed by the mathematician and computer scientist Donald Knuth. Knuth's up-arrow notation continues the compounding nature of the better-known arithmetic operations. Multiplication is simply repeated addition...
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