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RE: The mathematics behind medieval battles
Wow, I never thought mathematics can be used this way. Interesting application! Tides of battles would have been turned if they used these concepts long ago.
For modern applications I think this can be used in AI battle simulations for games. Thanks for the interesting good read!
The Lanchester model is a very simple model. I think that computer games like the total wars series give a way more accurate representation of ancient warfare since they model everything discretely.
However, it is possible to extend this model to take into account more advanced battle concepts like moral, flanking, etc.
Must be interesting to see how moral and flanking will transform the battle equation's results. Its really nice that you bring such nose-bleeding concepts into laymen's terms with your stories, please continue to do so. Hoping to read more good readings from you.
(P.S.: Would be great to hear an equation-driven story about how scientists can help farmers predict which crop will yield the best profit or which crop is the best to plant for a specific month or day) TIA! :P
I think I will write a weekly story-math post and a weekly abstract-math post.
PS Nice idea. However, the problem with crop-growth/harvest equations that they are not really derived in a natural way. I think they essentially are derived experimentally. So the equations don't arise as natural as in this post.
I see, thanks for your input. I also think there are a lot of factors to consider for that, you might end up writing a novel.
I'm looking forward for your upcoming story-math posts (and try to dabble with the abstract ones too :D)