octavian wrote:
I have a problem with an equation:

I have the fractal of Cantor and for each branch I have a circuit
with
a resistance and a capacitance R and C. After that I wrote the
impedance between the input terminal and the ground of the network
which has the form of a continued fraction:

1 2 1 1
Z(ω)= R+ --------- -------- -------- -------- .......

i ωC+ aR+ i ωC+ a2R+


You posted exactly the same question in sci.physics
with the title "Physics and fractal, etc."

If you have a legitimate reason for cross-posting,
then put both newsgroups in the header. Otherwise
people in the two newsgroups won't see answers
from each other.

Meanwhile, can you post a link explaining what
the "fractal of Cantor" is? The term "fractal"
postdates Cantor by many years, so I'm sure this
is not actually anything Cantor discussed.

My guess is that it's a fractal structure related
in some way to Cantor's set (the set of all real
numbers in [0,1] which do not contain 1's in their
base-3 representation).

- Randy

"Randy Poe" wrote in message roups.com...
octavian wrote:
I have a problem with an equation:

I have the fractal of Cantor and for each branch I have a circuit
with
a resistance and a capacitance R and C. After that I wrote the
impedance between the input terminal and the ground of the network
which has the form of a continued fraction:

1 2 1 1
Z(=CF=89)=3D R+ --------- -------- -------- -------- .......

i =CF=89C+ aR+ i =CF=89C+ a2R+


You posted exactly the same question in sci.physics
with the title "Physics and fractal, etc."

If you have a legitimate reason for cross-posting,
then put both newsgroups in the header. Otherwise
people in the two newsgroups won't see answers
from each other.

Meanwhile, can you post a link explaining what
the "fractal of Cantor" is? The term "fractal"
postdates Cantor by many years, so I'm sure this
is not actually anything Cantor discussed.

My guess is that it's a fractal structure related
in some way to Cantor's set (the set of all real
numbers in [0,1] which do not contain 1's in their
base-3 representation).

- Randy

Thank you Randy

In fact the "fractal of Cantor" is the Cantor's set.
But I want to solve the following equation: Z(w)=(a/2)*Z(aw), where w
is the variable.

Thank you
Octavian

octavian wrote:
In fact the "fractal of Cantor" is the Cantor's set.

I'm afraid I still don't understand. Cantor's set is
not a network. It doesn't have "branches". Clearly
you have some network in mind which is RELATED to
Cantor's set in some way, but you have not specified
what it is.

But I want to solve the following equation: Z(w)=(a/2)*Z(aw), where w
is the variable.

You want to find a function Z which satisfies this
equation for a specified value of a and all values of
w? What are the possible values of a? Is w real-
valued or can it be any complex number?

- Randy