Re: Infinite Binary Strings: A Question

In article
<2144569.1222295907092.JavaMail.jakarta@xxxxxxxxxxxxxxxxxxxxxx>,
amy666 <tommy1729@xxxxxxxxxxx> wrote:

Virgil wrote :

In article
<30598976.1222267017391.JavaMail.jakarta@xxxxxxxxxxxxx
forum.org>,
amy666 <tommy1729@xxxxxxxxxxx> wrote:

Virgil wrote :

In article

<598704.1222029941892.JavaMail.jakarta@xxxxxxxxxxxxxxx
rum.org>,
amy666 <tommy1729@xxxxxxxxxxx> wrote:

which might also be the reason Virgil assumed
you
meant
0(1) = (1)0

kind a weird and confusing ...

What I assumed was that .0(1) = .1(0) as binary
reals.

reals are reals !!

i do not distinguish

ordinary reals , decimal reals , binary reals , ...

and i would advice you not to distinguish it either
...


and to approximate reals i at least demand
continued fractions.

e.g. to get rid of nonsense like (1 - 0.1111111...)
/ 3 = 0.0000...03333...
or = *** does not exist / not allowed ***

The non-uniqueness of binary or decimal
representations is trivial to
deal with, and the simplicity of calculations in
such positional
notations overrides the inconvenience minor
drawback.

Do you do all your sums in continued fractions? I
suspect not.

did you know sqrt(2) is 'periodic' when using continued fractions ?

less messy then decimals !!

regards

tommy1729

Did you know that cube roots of non-cubes, and all other roots besides
square roots, are not 'periodic' when expanded by continued fractions?

Also, did you know that addition, subtraction, multiplication and
division in continued fractions are, by comparison with their decimal
analogues, at best incredibly awkward?

Lets see you do 1393/972 + 1393/225 entirely in continued fractions.
.

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