Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: On the infinite binary Tree
Replies: 64   Last Post: Dec 17, 2012 11:06 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
george

Posts: 800
Registered: 8/5/08
Re: On the infinite binary Tree
Posted: Dec 12, 2012 8:13 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Dec 12, 12:07 pm, WM <mueck...@rz.fh-augsburg.de> wrote:

> > Let's see:
>
> > Lets take the first degree binary tree which is the following
>
> > 0.  One node, no paths
>
> We could say 1 degenerated or empty path. Set theorists like empty
> things.


Exactly. As surely as there is an empty string of length 0 or an an
empty set of cardinality 0,
there is a null path from the root to the root. The tree with 1 node
has ONE path.
The point here is that EVERY finite binary tree has EXACTLY THE SAME
number of nodes as paths,
since EVERY PATH ENDS AT A NODE, injectively&surjectively&bijectively.
There is an obvious and natural bijection between a path and the node
where it ends.

This makes WM's talk about "limits" even stupider than usual --
obviously the limit of
a sequence WHOSE EVERY ELEMENT is 1 IS ONE. The elements were the
ratio of number of paths
to number of nodes.


Date Subject Author
12/12/12
Read On the infinite binary Tree
Zaljohar@gmail.com
12/12/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/12/12
Read Re: On the infinite binary Tree
Virgil
12/12/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/12/12
Read Re: On the infinite binary Tree
Zaljohar@gmail.com
12/13/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/13/12
Read Re: On the infinite binary Tree
trj
12/13/12
Read Re: On the infinite binary Tree
Virgil
12/13/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/13/12
Read Re: On the infinite binary Tree
Virgil
12/13/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/13/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/13/12
Read Re: On the infinite binary Tree
Virgil
12/13/12
Read Re: On the infinite binary Tree
Zaljohar@gmail.com
12/13/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/13/12
Read Re: On the infinite binary Tree
Zaljohar@gmail.com
12/13/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/13/12
Read Re: On the infinite binary Tree
Virgil
12/13/12
Read Re: On the infinite binary Tree
Virgil
12/13/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/13/12
Read Re: On the infinite binary Tree
Virgil
12/13/12
Read Re: On the infinite binary Tree
Virgil
12/13/12
Read Re: On the infinite binary Tree
Virgil
12/13/12
Read Re: On the infinite binary Tree
Zaljohar@gmail.com
12/13/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/13/12
Read Re: On the infinite binary Tree
Virgil
12/13/12
Read Re: On the infinite binary Tree
Zaljohar@gmail.com
12/13/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/13/12
Read Re: On the infinite binary Tree
Virgil
12/14/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/13/12
Read Re: On the infinite binary Tree
Zaljohar@gmail.com
12/13/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/13/12
Read Re: On the infinite binary Tree
Virgil
12/14/12
Read Re: On the infinite binary Tree
Zaljohar@gmail.com
12/14/12
Read Re: On the infinite binary Tree
Zaljohar@gmail.com
12/15/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/15/12
Read Re: On the infinite binary Tree
Virgil
12/14/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/14/12
Read Re: On the infinite binary Tree
Tanu R.
12/14/12
Read Re: On the infinite binary Tree
Virgil
12/15/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/15/12
Read Re: On the infinite binary Tree
Virgil
12/12/12
Read Re: On the infinite binary Tree
Virgil
12/13/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/12/12
Read Re: On the infinite binary Tree
george
12/13/12
Read Re: On the infinite binary Tree
Zaljohar@gmail.com
12/13/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/13/12
Read Re: On the infinite binary Tree
george
12/14/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/14/12
Read Re: On the infinite binary Tree
Virgil
12/14/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/14/12
Read Re: On the infinite binary Tree
Tanu R.
12/14/12
Read Re: On the infinite binary Tree
Virgil
12/15/12
Read Re: On the infinite binary Tree
mueckenh@rz.fh-augsburg.de
12/15/12
Read Re: On the infinite binary Tree
Virgil
12/15/12
Read Re: On the infinite binary Tree
Tanu R.
12/14/12
Read Re: On the infinite binary Tree
Charlie-Boo
12/14/12
Read Re: On the infinite binary Tree
forbisgaryg@gmail.com
12/15/12
Read Re: On the infinite binary Tree
ross.finlayson@gmail.com
12/15/12
Read Re: On the infinite binary Tree
forbisgaryg@gmail.com
12/15/12
Read Re: On the infinite binary Tree
ross.finlayson@gmail.com
12/16/12
Read Re: On the infinite binary Tree
forbisgaryg@gmail.com
12/17/12
Read Re: On the infinite binary Tree
ross.finlayson@gmail.com
12/16/12
Read Re: On the infinite binary Tree
Ciekaw
12/16/12
Read Re: On the infinite binary Tree
Virgil

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.