The Geometric Series formula also holds for matrices, when the eigenvalues of M are |λᵢ|<1pic.twitter.com/HV1uj8SWoA
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It also tells you how to differentiate 1/(some function whose derivative you know), since nilpotency of order 2 (i.e., dx*dx = 0) tells us that 1 /(1 + dx) = 1 - dx
right but not all nonstandard analysis uses nilpotent differentials
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Yeah, I meant "dx" like "the formal nilpotent symbol we use to compute derivatives" not "the very small number." In the latter case we should have +O(dx^2) on the RHS.
Thanks. Twitter will use this to make your timeline better. UndoUndo
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