We all know the greek letter delta is the mathematical symbol that represents "change in."(adsbygoogle = window.adsbygoogle || []).push({});

I though about a new form of delta: Δ^{n}. Where n^{2}= the # of terms when you expand the delta operator.

For example: the usual Δx = x_{2}- x_{1}

But now: Δ^{2}x = (X_{4}-X_{3}) - (X_{2}-X_{1}). We can see that for Δ^{2}there are 2^{2}(4) terms.

Why the heck haven't I head of this notation. Does it just not exist?It does not seem to be used that much in mathematics.

Taking a Δ^{n}is like taking the n^{th}derivative of a function is it not?

Wow. I discovered something by myself and I didn't even know it existed.

Look here: http://en.wikipedia.org/wiki/Difference_operator

Scroll down untill you get to the title called "n^{th}difference"

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# Difference Operator

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