It's a interesting thought, with the refined modeled, the witch population either is always increasing or always decreasing, as long as it is smaller than the magical girls population. I wouldn't do it though, since there has been no proof of that in canon, and it means setting a model to show us what we want to show, instead of solving the inconsistency at its source. If we change the hypotheses so that soul gems dim over time, we should fall back to a working model. Prima 17:57, 19 March 2011 (UTC)ДЄctually, it's just a logical consequence of our model. The only way to avoid this is if F+B-K is nonegative, but I am not certain how we can justify it, unless we call Kyuubey as a rational agent again.

If F+B-K is negative, then О”W is negative, and the population spirals downwards to zero, and M becomes a linear function Ct. In the case when M(t) > W(t), О”W=(F+B-K)W, that is, change in witch population depends solely on the current population, modified by the constant (F+B-K). It is a stumbling block I located as well. It might be nice to investigate it a little, or explain why it is the case if you know. Basically, they're saying the refined model only works when F+B+1-K>0? Homerun-chan 16:56, 13 April 2011 (UTC)ДЄlong with the other tweets, I found this one that seemed interresting, but I'm not sure I understand it. Maybe we should put somewhere what they represent, because as-is they're not really relevant. Just wondering, what are those numbers that appeared below the constants in the simulation tables? ( extstyle. Also, note that they are in the image's description field. Thanks for the advice, adding it right now. I feel that you should add the assumed numbers right above the graphs, because those will affect greatly how the graphs turn out, and I think that putting the numbers up front will enable readers to agree with your starting numbers first. Hope it helps - Homerun-chan 15:24, 24 April 2011 (UTC) Since quite a lot of our japanese colleagues seem to want a translation, here's what I found so far: 5 F, C, D/B are dynamic Witches can be revived as necessary.

Freemat summation