This is great. I’m so glad this analysis has finally been done!
One quick idea: should ‘speed-ups’ be renamed ‘accelerations’? I think I’d find that clearer personally, and would help to disambiguate it from earlier uses of ‘speed-up’ (e.g. in Nick’s thesis).
I’ve thought about this a lot and strongly think it should be the way I did it in this chapter. Otherwise all the names are off by one derivative. e.g. it is true that for one of my speed-ups, one has to temporarily accelerate, but you also have to temporarily change every higher derivative too, and we don’t name it after those. The key thing that changes permanently and by a fixed amount is the speed.
This is great. I’m so glad this analysis has finally been done!
One quick idea: should ‘speed-ups’ be renamed ‘accelerations’? I think I’d find that clearer personally, and would help to disambiguate it from earlier uses of ‘speed-up’ (e.g. in Nick’s thesis).
I’ve thought about this a lot and strongly think it should be the way I did it in this chapter. Otherwise all the names are off by one derivative. e.g. it is true that for one of my speed-ups, one has to temporarily accelerate, but you also have to temporarily change every higher derivative too, and we don’t name it after those. The key thing that changes permanently and by a fixed amount is the speed.