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I like this idea Shadowkiller Send a noteboard - 20/12/2009 04:01:28 PM
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.

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]
RJ Quotes on the OP, AS, and Warders
This message last edited by Shadowkiller on 20/12/2009 at 07:12:29 PM
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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 1417 Views
I always thought the curve was one sided - 18/12/2009 01:17:32 PM 811 Views
I would say that your sample is flawed. - 18/12/2009 05:02:02 PM 885 Views
well said *NM* - 18/12/2009 05:12:40 PM 416 Views
It doesn't matter... - 18/12/2009 10:02:38 PM 746 Views
But, it sort of does. - 18/12/2009 10:43:08 PM 805 Views
So you're saying that no modern Aes Sedai are even of average strength? - 18/12/2009 10:51:01 PM 890 Views
Are you sure it's the same bell curve from the AoL? - 18/12/2009 11:11:19 PM 839 Views
The Tower is restricted to the middle... - 18/12/2009 05:35:03 PM 969 Views
Two things... - 18/12/2009 09:28:25 PM 802 Views
The culling theory... - 18/12/2009 09:36:34 PM 750 Views
The culling theory applies to the ENTIRE population, not just Aes Sedai... - 18/12/2009 09:42:31 PM 872 Views
Yes, but Aes Sedai take it to a new level... - 18/12/2009 09:48:59 PM 938 Views
Re: Yes, but Aes Sedai take it to a new level... - 18/12/2009 10:06:15 PM 733 Views
Several more things... - 18/12/2009 11:26:19 PM 899 Views
You don't understand your own model... - 18/12/2009 11:38:05 PM 917 Views
So RJ was wrong about Bell Curve distribution? - 19/12/2009 06:03:24 PM 810 Views
Re: So RJ was wrong about Bell Curve distribution? - 19/12/2009 06:10:52 PM 777 Views
Its simple really... - 19/12/2009 06:15:23 PM 792 Views
Age-Related Sample Bias - 18/12/2009 06:41:03 PM 763 Views
A thought that occured to me, and I'd like your opinion... - 18/12/2009 07:38:29 PM 765 Views
Well Sharina isn't a sparker and she's the strongest AS - 18/12/2009 07:57:17 PM 771 Views
Yes... - 18/12/2009 08:01:57 PM 865 Views
Is it just my bad memory or is one of the wondergirls not a sparker? - 18/12/2009 10:12:59 PM 753 Views
I think it's just a bad memory... - 18/12/2009 10:19:25 PM 755 Views
Easier sulution, and real example. - 18/12/2009 10:03:20 PM 818 Views
And that is indeed the solution I feel most comfortable with... - 18/12/2009 10:08:40 PM 775 Views
Re: And that is indeed the solution I feel most comfortable with... - 19/12/2009 11:39:31 AM 1011 Views
Agree, but a little more curvy is better - 19/12/2009 11:17:16 PM 712 Views
*facepalm* - 18/12/2009 10:13:16 PM 794 Views
That's just the normalized value graphed on a log scale. - 19/12/2009 11:20:41 PM 769 Views
Dude, Seriously? - 18/12/2009 10:19:25 PM 787 Views
Indeed, and that's why I propose that... - 18/12/2009 10:31:23 PM 785 Views
Yes, "Bell Curve" does not mean Gausian. Or normal distribution. - 19/12/2009 11:24:10 PM 763 Views
It does to RJ - 20/12/2009 03:12:30 PM 844 Views
Yes, "Bell Curve" does not mean Gausian. Or normal distribution. - 19/12/2009 11:24:11 PM 738 Views
That's because outliers in IQ tests are excluded form the curve. *NM* - 18/12/2009 11:31:23 PM 443 Views
Really?!?! then what is the definition of a IQ of 200? - 19/12/2009 11:28:18 PM 1073 Views
You can have IQ's above that... - 20/12/2009 05:09:44 AM 784 Views
I said that in the other post and was half torn to pieces *NM* - 19/12/2009 11:38:25 AM 387 Views
Eh. Ignore the IQ value and draw it on a linear weight scale - 19/12/2009 11:26:23 PM 747 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 713 Views
I like this idea - 20/12/2009 04:01:28 PM 923 Views
Accidental Post *NM* - 20/12/2009 07:11:09 PM 434 Views
Mathmatically this is very close to the system I proposed in another thread - 27/12/2009 01:23:51 AM 725 Views
Re: The One Power Bell Curve: - 27/12/2009 10:05:33 PM 882 Views
What makes you think Alviarin is "middling"? - 27/12/2009 10:28:13 PM 1083 Views
Re: What makes you think Alviarin is "middling"? - 28/12/2009 03:19:14 PM 764 Views
Re: What makes you think Alviarin is "middling"? - 28/12/2009 03:30:44 PM 982 Views

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