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The article seems to have a failed grasp on the mass-energy equivalence that I found extremely jarring. According to the author, the pokeballs turn them from pure mass to some mass-energy hybrid. It still wouldn't change the fact that the energy is within the pokeball, thus the pokeball would...

Where would graph theory come to mind? I assume somewhere in the AI (I'm not well-versed on graph theory or computer science). Anyway not strictly mathematical but the application of mathematical economics (Game Theory comes to mind) would also be very much of interest. One idea that I've been...

I found an error in your analysis. You said the probability of neither pokemon being knocked out as being 60.31% reasoning that the probability of no KOs is 1-P(AB) [Where P(A) is probability that Pokemon A is knocked out, P(B) same for Pokemon B, and since both can be assumed to be independent...