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Tensor power series
#8
I just realized I never explained how that function is related to the exponential factorial. The exponential factorial is defined as where , which is a univariate function. To make this function from the function above, you can first notice the pattern in its iterates:

where c could theoretically be anything, since . And since I haven't indicated whether we are using 0-based or 1-based vectors, I'm going to use another contraction to get the top value:
Now it should be obvious from this that which begs the question in my Conjectures post: what is EF(0)?

Andrew Robbins
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Messages In This Thread
Tensor power series - by andydude - 05/13/2008, 07:58 AM
RE: Tensor power series - by andydude - 05/13/2008, 07:59 AM
RE: Tensor power series - by andydude - 05/13/2008, 08:11 AM
RE: Tensor power series - by andydude - 05/14/2008, 06:18 AM
RE: Tensor power series - by Gottfried - 05/20/2008, 08:39 PM
RE: Tensor power series - by andydude - 05/22/2008, 12:58 AM
RE: Tensor power series - by andydude - 05/22/2008, 04:11 AM
RE: Tensor power series - by andydude - 05/22/2008, 04:36 AM
RE: Tensor power series - by bo198214 - 05/24/2008, 10:10 AM
RE: Tensor power series - by andydude - 06/04/2008, 08:08 AM

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