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IWETHEY Home / IWETHEY Board / Science Forum / I guess I should re-read
Post #197,458
by Arkadiy
Picture of Arkadiy
3/7/05 9:26:01 AM
Reply
New I guess I should re-read
I have to agree with you that when we say "size of network" we mean, most of the time, "number of people I want to connect to on network". But that would simply lead to change of "n" in "n^2". I'll have to re-read for comprehension :) and figure out how you get from the "the heart of our criticism" to n log n.
--


And what are we doing when the two most powerful nations on earth -- America and Israel -- stomp on the elementary rights of human beings?

-- letter to the editor from W. Ostermeier, Liechtenstein
Post #197,475
by ben_tilly
3/7/05 11:23:39 AM
Reply
New Read section 4
We present several arguments suggesting n log(n). The one that you want is in section 4.

Zipf's law says that the value of the n'th thing tends to be 1/n times the value of the first. This has been found to apply in a wide range of different areas. (Personal wealth, size of cities, etc.) If this holds for the potential value of connections over networks, and the value of the most important connections is fixed by the medium and human nature, then the average value from being in a network is the value of the most valuable times (1 + 1/2 + ... + 1/n) which scales as log(n). Over n people this totals n log(n).

Cheers,
Ben
I have come to believe that idealism without discipline is a quick road to disaster, while discipline without idealism is pointless. -- Aaron Ward (my brother)
     Here's as good as anywhere, questioning Metcalfe's Law - (ben_tilly) - (30) - March 3, 2005, 01:38:39 AM EST
         I stopped at the point where - (Arkadiy) - (15) - March 3, 2005, 09:48:43 AM EST
             He's not saying what you think - (ben_tilly) - (14) - March 3, 2005, 10:54:49 AM EST
                 At least two of his examples are wrong - (Arkadiy) - (13) - March 3, 2005, 12:05:32 PM EST
                     Disagreement - (ben_tilly) - (12) - March 3, 2005, 01:57:45 PM EST
                         One counter-example, and a possible new POV - (drewk) - (3) - March 3, 2005, 09:11:41 PM EST
                             That's not entirely a counterexample - (ben_tilly) - (2) - March 4, 2005, 02:48:17 PM EST
                                 You got the analogy, but missed the point - (drewk) - (1) - March 4, 2005, 03:27:51 PM EST
                                     Chicken and egg on value - (ben_tilly) - March 7, 2005, 04:06:43 AM EST
                         OK, I finished reading - (Arkadiy) - (7) - March 4, 2005, 02:48:53 PM EST
                             If n^2 holds for users... - (ben_tilly) - (6) - March 4, 2005, 02:52:36 PM EST
                                 Switching is not same as joining - (Arkadiy) - (5) - March 4, 2005, 03:37:26 PM EST
                                     Larger by 30% wins? - (ben_tilly) - (4) - March 7, 2005, 04:21:04 AM EST
                                         I guess I should re-read - (Arkadiy) - (1) - March 7, 2005, 09:26:01 AM EST
                                             Read section 4 - (ben_tilly) - March 7, 2005, 11:23:39 AM EST
                                         There's your example :-) - (drewk) - (1) - March 7, 2005, 12:26:44 PM EST
                                             More valuable to you, yes - (ben_tilly) - March 7, 2005, 12:57:30 PM EST
         I have come to the conclusion... - (folkert) - March 3, 2005, 11:18:45 AM EST
         Re: Paper. - (a6l6e6x) - March 3, 2005, 10:48:07 PM EST
         Something else I just realized - (drewk) - March 4, 2005, 12:03:27 AM EST
         The mathematics is interesting and I presume . . - (Andrew Grygus) - (7) - March 4, 2005, 01:14:02 AM EST
             Mostly true - (ben_tilly) - (6) - March 4, 2005, 02:50:50 PM EST
                 Andrew's obviously talking B2B - (drewk) - (3) - March 4, 2005, 03:07:47 PM EST
                     My very favorite was a B to C - (Andrew Grygus) - (1) - March 4, 2005, 06:08:19 PM EST
                         Oops! -NT - (ben_tilly) - March 7, 2005, 04:27:27 AM EST
                     I don't know the breakdown... - (ben_tilly) - March 7, 2005, 04:26:36 AM EST
                 But it isn't exactly frictionless . . . - (Andrew Grygus) - (1) - March 4, 2005, 05:50:13 PM EST
                     True but... - (ben_tilly) - March 7, 2005, 04:23:25 AM EST
         Ben, do you mind if I cite this for a paper? - (jake123) - (2) - Nov. 22, 2005, 11:29:44 AM EST
             You can cite this, if unpublished papers are acceptable - (ben_tilly) - (1) - Nov. 22, 2005, 10:20:54 PM EST
                 No, it works as it's on the net - (jake123) - Nov. 23, 2005, 11:40:41 AM EST

*pssst* Wanna buy a watch?
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