I always thought it as taking the 1-21 scale and using the power of 2 to find the amount of power they could hold. ie.
rank 1 is 1 * 1 = 1
2 is 2 * 2 = 4
3 is 3 * 3 = 9
...
20 is 20 * 20 = 400
21 is 21 * 21 = 441
this exponential jumping system accounts for why Egwene (only a couple levels below Nynaeve, is like a candle beside a bonfire.
rank 1 is 1 * 1 = 1
2 is 2 * 2 = 4
3 is 3 * 3 = 9
...
20 is 20 * 20 = 400
21 is 21 * 21 = 441
this exponential jumping system accounts for why Egwene (only a couple levels below Nynaeve, is like a candle beside a bonfire.
We need to reconcile these first two facts with the (seemingly) contradictory third:
1. that there are 21 levels of OP strength, and their distribution follows a bell curve,
2. that Nynaeve is at the level of most female Forsaken, and Egwene, Elayne, and Avi are one level below her (See quote below), and
3. that Nynaeve would be like a bonfire to Egwene's candle (or some such wording).
What we're looking at is two different things: the levels, which according to RJ are distributed on a bell curve, and the strength associated with a level (which I will call the "strength function" ). Through the discussion so far, the assumption has been (implicitly) that the strength function is linear.
However, if the strength function is linear, then the facts I gave above make no sense. If Eg. and El. are one level below Nyn. then the difference in their strength would be the same difference between any other two levels. It would not be notably different. Therefore I propose that the relationship between level and strength cannot be linear.
Kieran has proposed that the strength function is quadratic, or strength=(level)^2. Let us investigate the implications. Let's say Nyn. is at level 20, and Eg. and El. are at level 19. If the strength function is quadratic, then Nyn. would have strength 400 and Eg. and El. would have strength 361. Thus, even though the levels are off by only 1, Nynaeve is more than 10% stronger than Egwene and Elayne. Is that enough difference to inspire fact 3 above? Maybe, maybe not. (I also point out that Nynaeve at level 20 would be 3.3 times stronger than an average channeler at level 11.)
At this point there isn't any evidence in favor of this particular strength function. Perhaps someone could ask BS at a signing what the strength function is or how it works. However, given what we know, I think that no matter what the actual strength function is (quadratic, some other polynomial, maybe exponential, etc.) it almost certainly is not linear.
___
I found this quote from the link at the bottom. To find it do a ctrl+F and search "Stockholm"
Quote:
On channeler strength: he said that he knew the rough strength of every channeler in the books, imposed on a 21-graded scale. Nynaeve he said had Forsaken strength, i.e. as strong as most female Forsaken. Egwene, Elayne and Aviendha were a step lower, and an additional step lower Elaida, Siuan and Moiraine were found. They were the strongest Aes Sedai known before "the new ones". Several Aes Sedai, including Leane and Kiruna, were next in strength. By the old standards they were deemed very strong and capable. [RJ apparently forgot (or maybe the person doing the report mixed it up) that there is a level between the Supergirls and Elaida/Siuan/Moiraine/Romanda/Lelaine - Cadsuane, Kerene, and Meilyn are stronger than Moiraine's group but weaker than Egwene's group (New Spring). It's also worth adding that Sharina is predicted to become as strong as it is possible to be (like Lanfear was, apparently), and Talaan (along with maybe Alivia) is probably between Sharina and Nynaeve, so that makes at least two levels, maybe three, between Nynaeve and the top. - Terez]
This message last edited by Shadowkiller on 20/12/2009 at 07:12:29 PM
The One Power Bell Curve: Proof that it is not centered on 50% of the strongest channeler's strength
18/12/2009 08:37:55 AM
- 1314 Views
I always thought the curve was one sided
18/12/2009 01:17:32 PM
- 723 Views
The Curve only refers to the channeling population, not to non-channelers.
18/12/2009 01:56:25 PM
- 726 Views
I would say that your sample is flawed.
18/12/2009 05:02:02 PM
- 804 Views
It doesn't matter...
18/12/2009 10:02:38 PM
- 658 Views
But, it sort of does.
18/12/2009 10:43:08 PM
- 705 Views
So you're saying that no modern Aes Sedai are even of average strength?
18/12/2009 10:51:01 PM
- 784 Views
The Tower is restricted to the middle...
18/12/2009 05:35:03 PM
- 871 Views
Two things...
18/12/2009 09:28:25 PM
- 717 Views
The culling theory...
18/12/2009 09:36:34 PM
- 646 Views
The culling theory applies to the ENTIRE population, not just Aes Sedai...
18/12/2009 09:42:31 PM
- 770 Views
Several more things...
18/12/2009 11:26:19 PM
- 815 Views
You don't understand your own model...
18/12/2009 11:38:05 PM
- 823 Views
So RJ was wrong about Bell Curve distribution?
19/12/2009 06:03:24 PM
- 731 Views
So, Aviendha trumps RJ? A woman who, as late as tGS, doesn't know what she's doing with the OP?
19/12/2009 06:12:42 PM
- 711 Views
Age-Related Sample Bias
18/12/2009 06:41:03 PM
- 674 Views
I have no problem with that...but it implies that the average woman today isn't at 50% of Lanfear...
18/12/2009 09:46:00 PM
- 798 Views
Partially agreed...
18/12/2009 10:13:46 PM
- 681 Views
Well, the Aes Sedai are the only group that we have detailed strength info about...
18/12/2009 10:26:48 PM
- 785 Views
Sharina is AS ... she'd be dead in a few years if she hadn't gone to the Tower *NM*
28/12/2009 01:08:20 AM
- 819 Views
A thought that occured to me, and I'd like your opinion...
18/12/2009 07:38:29 PM
- 669 Views
Is it just my bad memory or is one of the wondergirls not a sparker?
18/12/2009 10:12:59 PM
- 661 Views
Easier sulution, and real example.
18/12/2009 10:03:20 PM
- 708 Views
And that is indeed the solution I feel most comfortable with...
18/12/2009 10:08:40 PM
- 684 Views
Re: And that is indeed the solution I feel most comfortable with...
19/12/2009 11:39:31 AM
- 923 Views
Dude, Seriously?
18/12/2009 10:19:25 PM
- 708 Views
Indeed, and that's why I propose that...
18/12/2009 10:31:23 PM
- 689 Views
So RJ used two separate scales, one actual one relative, to explain the same thing?
18/12/2009 11:33:20 PM
- 619 Views
Yes, "Bell Curve" does not mean Gausian. Or normal distribution.
19/12/2009 11:24:10 PM
- 670 Views
I'm sorry, but I've never heard of a non-Gaussian bell curve. Can you prove its existence? *NM*
20/12/2009 03:24:22 AM
- 397 Views
Maybe people in my field just use the term in a non-technical way. We do things with ...
21/12/2009 07:24:43 PM
- 627 Views
That's because outliers in IQ tests are excluded form the curve. *NM*
18/12/2009 11:31:23 PM
- 399 Views
Re: The One Power Bell Curve: Proof that it is not centered on 50% of the strongest channeler's stre
19/12/2009 06:02:34 PM
- 626 Views
I like this idea
20/12/2009 04:01:28 PM
- 834 Views
Mathmatically this is very close to the system I proposed in another thread
27/12/2009 01:23:51 AM
- 633 Views
Re: The One Power Bell Curve:
27/12/2009 10:05:33 PM
- 775 Views
What makes you think Alviarin is "middling"?
27/12/2009 10:28:13 PM
- 983 Views