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

Still learning
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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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,483

Re: Continued fraction

Hi;

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.
Always satisfy the Prime Directive of getting the right answer above all else.

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

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

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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