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Topic: The Many Roles of e
Replies: 8   Last Post: Apr 23, 2013 8:39 AM

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dan73

Posts: 465
From: ct
Registered: 6/14/08
Re: The Many Roles of e
Posted: Apr 23, 2013 8:39 AM
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Hi Will,

cf = continued fraction.

If you want to create the above irrational to any degree
of accuracy just start your algorithm with a odd integer
like 99 and find its' reciprocal (1/99) then add 97 and find that
reciprocal and so on until you add the final odd(5) which
will give you the above irrational --
5.14064682573322848552...

This can be accomplished in a split second with the
right algorithm and reflect the same irrational produced
by (1/(e^2 -7))*2
Because the algorithm starts with a very small odd only
a certain number of digits will match the above formula
which is correct --->oo.

The best way to explain this better is produce the irrational
with the formula above and start by subtracting the (5)
then find the reciprocal of the remainder (1/r).
(7) will appear to the left of the decimal then subtract
the (7) then (1/r) and so on.
You will end up at each point subtracting these integers--
5,7,9,11,13,15,17,19... ---> all the odd integers -->oo

Hope this helps

I am looking at the other part of your last post
and will get back to you.

Dan



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