Power Law:(11)Graph structure in the web

2008/11/01）
(google:power law)でヒットしたものでグラフありをチェック。第一弾。
(google:power law)It is checked that it is the one that became a hit and there is a graph. The first.

http://www9.org/w9cdrom/160/160.html
Graph structure in the web
Andrei Broder(1), Ravi Kumar(2), Farzin Maghoul(1),
Prabhakar Raghavan(2), Sridhar Rajagopalan(2), Raymie Stata(3),
Andrew Tomkins(2), Janet Wiener(3)

1: AltaVista Company, San Mateo, CA.
2: IBM Almaden Research Center, San Jose, CA.
3: Compaq Systems Research Center, Palo Alto, CA.
~~~


Fig.1のみをチェック。その他：Fig.2,3,4は未！TODO）
Only Fig.1 is checked. Additionally: Fig.2, 3, and 4 are unchecked. TODO)

~~~
直線部分のみの相対値を得る。
A relative value only of a straight line part is obtained.

A=-2.1

y=B*x^(A)
B=y/x^(A)
=1e6/10^(-2.1)
=1e6/7.943e-3
=0.126e9
=1.26e8

***
1=B*x^A
log1= logB + Alogx
-logB = Alogx

logx = (-logB)/A
x=10^((-logB)/A)
=7199.78

~~~
(x, y)=(10, 1e6),(7199.78, 1)
Relative value)
=(1, 1e6),(7199.78/10, 1)
=(1, 1e6),(719.98, 1)
A=-2.1
B=1e6

~~~
今回までのデータを示す。
Data until this time is shown.

"A","B","memo","Category"
-3.21,104660,"Power Law:(5),p.182,Fig.5-39(a)",Industry?
-2.457,4102.56,"Power Law:(5),p.182,Fig.5-39(b)",Industry?
-2.416,5.95e3,"Power Law:(5),p.182,Fig.5-39(c)",Industry?
-1.246,74,"Power Law:(5),p.128,Fig.4-14",Nature
-1.1818,5.337e4,"Power Law:(5),p.111,Fig.4-3",Electric
-1.092,24.926,"Power Law:(5),p.61,Fig.2-16(2)",Nature
-1.035,63.065,"Power Law:(5),p.123,Fig.4-10",Electric
-1.013,17.635,"Power Law:(5),p.63,Fig.2-18",Economy...human activity
-1.0123,20.75,"Power Law:(5),p.60,Fig.2-15",Economy...human activity
-1,1e4,"Power Law:(5),p.62,Fig.2-17",Culture?...human activity
-1.0,5.62e3,"Power Law:(5),p.175,Fig.5-33",Bio
-1,100,"Power Law:(5),p.125,Fig.4-12",Nature
-0.991,18.52,"Power Law:(5),p.61,Fig.2-16(1)",Nature
-0.767,200,"Power Law:(5),p.108,Fig.4-1",Electric
-0.353,58.214,"Power Law:(4),table.1",Bio
-0.29758,15.5,"Power Law:(3),p.242,Fig.44",Bio
-0.249,31.174,"Power Law:(7),p.27,Fig.3-1",Bio
-0.249,159.9,"Power Law:(7),p.36,Fig.3-2",Bio
-0.249,212.878,"Power Law:(7),p.36,Fig.3-2",Bio
-0.74,23.2,"Power Law:(8),p.22,Fig.2",Bio
-0.518,390,"Power Law:(8),p.24,Fig.3",Bio
-0.692,6.971e3,"Power Law:(8),p.26,Fig.4",Bio
-2.154,3162,"Power Law:(9),p.129,Fig.9",web...human activity
-6.179,1.234e5,"Power Law:(10),p.37,table",Nature...human
-2.1,1e6,"Power Law:(11),Fig.1",web...human activity
~~~
end