Here is my interpretation of the bell curve. The 21-level system is evenly distributed but the power levels on that curve are exponential.
The power of a channeller is given by l^1.21765144798273 (where l is the level on the 21-level system).* Here are a few channellers' powers given that equation (which I normalized between 0 and 1). This equation is based entirely on the following presumptions:
Egwene is exactly five times stronger that Daigan.
Egwene is level 15
Daigan is level 4
If you have better characters or corrections to these presumptions the comparison than let me know.
Lanfear 21: 1
Nynaeve 18: 0.8289
Egwene 15: 0.6638
Daigian 4: 0.1328
Morgase 1: 0.0245
*My math explained:
l^x = p (l = level, p = power)
5*4^x = 15^x (Daigan, a level 4, is 5 times weaker than Egwene, a level 15)
=log_4 5 / (log_4 15 - 1) (log base 4 here, I'm not sure what a good way of indicating that is)
=1.21765144798273
**All channellers levels were taken from http://13depository.blogspot.ca/search/label/Saidar%20strength . If you don't like the levels assigned, you can view the data it hde supplied link. If you want access to edit just give me your email address.
The power of a channeller is given by l^1.21765144798273 (where l is the level on the 21-level system).* Here are a few channellers' powers given that equation (which I normalized between 0 and 1). This equation is based entirely on the following presumptions:
Egwene is exactly five times stronger that Daigan.
Egwene is level 15
Daigan is level 4
If you have better characters or corrections to these presumptions the comparison than let me know.
Lanfear 21: 1
Nynaeve 18: 0.8289
Egwene 15: 0.6638
Daigian 4: 0.1328
Morgase 1: 0.0245
*My math explained:
l^x = p (l = level, p = power)
5*4^x = 15^x (Daigan, a level 4, is 5 times weaker than Egwene, a level 15)
=log_4 5 / (log_4 15 - 1) (log base 4 here, I'm not sure what a good way of indicating that is)
=1.21765144798273
**All channellers levels were taken from http://13depository.blogspot.ca/search/label/Saidar%20strength . If you don't like the levels assigned, you can view the data it hde supplied link. If you want access to edit just give me your email address.
Addressing problems with the Bell Curve
- 31/10/2012 11:30:42 AM
1713 Views
Who said RJ created a 100 point scale? I always assumed we did to make this easier to follow
- 31/10/2012 02:22:51 PM
1052 Views
One more point here
- 31/10/2012 03:02:34 PM
913 Views
I've think I've finally done it. I've solved the entire Curve. Daigian is the key...
- 01/11/2012 09:20:57 AM
1169 Views
Did some playing with your numbers to make this work better
- 01/11/2012 02:13:00 PM
1140 Views
The Mean and SD are set by Daigian's position. Your options are therefore not possible...
- 02/11/2012 07:49:24 AM
1101 Views
Yet you have many more SD between the Mean and Lanfear than you do Morgase and the Mean
- 02/11/2012 02:39:51 PM
912 Views
I absolutely agree. The lower side of the curve MUST be intersected by zero after 1 SD...
- 02/11/2012 03:03:52 PM
816 Views
I am not convinced Moiraine is the Mean. Merely 50% of Lanfear
- 02/11/2012 04:23:57 PM
992 Views
But on a Bell Curve the Mean IS 50% of Lanfear. You've just disproven your own contention.
- 02/11/2012 04:40:31 PM
891 Views
OMG no it is NOT!
- 02/11/2012 05:16:36 PM
804 Views
I agree with that. But please honestly look at the math I presented. It disproves the Bell Curve.
- 02/11/2012 05:24:41 PM
1108 Views
It doesn't matter that you think the BC is disproved.
- 02/11/2012 06:07:19 PM
946 Views
Confusing post...
- 02/11/2012 06:30:40 PM
1013 Views
If you choose to ignore the author go right ahead. I just think you are wrong
- 02/11/2012 09:05:14 PM
1006 Views
Re: It doesn't matter that you think the BC is disproved.
- 02/11/2012 07:11:57 PM
977 Views
I think the number is about 10
- 03/11/2012 08:42:08 AM
1010 Views
Nope
- 03/11/2012 04:14:45 PM
939 Views
Re: Nope
- 03/11/2012 04:39:07 PM
961 Views
Verin and Graendal each have angreal of unkown strength
- 03/11/2012 06:15:49 PM
940 Views
Re: Addressing problems with the Bell Curve
- 01/11/2012 06:23:07 PM
969 Views
Re: Addressing problems with the Bell Curve
- 01/11/2012 09:48:04 PM
944 Views
I'll have to disagree with much of this
- 03/11/2012 07:46:31 AM
1000 Views
Why do you always think Strength is the point
- 03/11/2012 04:35:26 PM
758 Views
I don't - I merely appreciate it as a factor
- 03/11/2012 04:48:24 PM
862 Views
0 Evidence? Cyndane v. Alivia is plenty of evidence EDIT with exact quote
- 03/11/2012 06:17:39 PM
892 Views
One other thing you have forgotten about
- 03/11/2012 10:13:09 PM
860 Views
Your agenda blinds you to logic yet again...As I'll simply demonstrate with your example here...
- 03/11/2012 11:08:13 PM
911 Views
Nope, the only experience she has in reality is against Rand
- 03/11/2012 11:09:54 PM
833 Views
Nonsense.
- 03/11/2012 11:11:05 PM
847 Views
Believe as you will
- 03/11/2012 11:26:50 PM
1010 Views
That's a classic.
- 04/11/2012 12:06:13 AM
884 Views
You misquote on a regular basis and have no grasp of the timeline in the series
- 04/11/2012 01:36:37 AM
770 Views
Hmm...
- 04/11/2012 07:08:04 AM
1099 Views
stop getting all indignant ... I'm really not trying to be nasty to you
- 04/11/2012 04:20:06 PM
913 Views
Reply to your EDIT: I think YOU have a totally warped perspective, based on what you wish for.
- 03/11/2012 11:16:29 PM
884 Views
Funny that's exactly how I see your perspective
- 03/11/2012 11:25:52 PM
872 Views
I don't need to interpret the following in any way other than the obvious to get the picture...
- 04/11/2012 12:17:53 AM
2432 Views
as usual you miss that there is a timeline and strength growth throughout the series *NM*
- 04/11/2012 01:47:41 AM
388 Views
