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#1 2012-10-30 17:58:58

Still learning

Continued fraction

Every number has continued fraction form,let us call it{a0,a1,a2,a3,...},and also a engel expansion form,let us call it{b1,b2,b3,...},these sets are both lots of fraction's denominator.there is a formula for bk,my question is that are there any formula for ak?

#2 2012-10-30 18:43:58

From: Bumpkinland
Registered: 2009-04-12
Posts: 106,387

Re: Continued fraction


Yes there is a formula for generating a continued fraction.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.


#3 2012-10-30 21:05:10

Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,018

Re: Continued fraction

“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.


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