@Desmos@RichardW314 We recently added some extra bookkeeping that's designed to make higher order derivatives faster.
However, in this graph, which evaluates a first derivative at many many different points, the calculator was spending all its time on this new bookkeeping.
I make some version of this in @Desmos every year and it is never fails to amaze me. There's a mathematical satisfaction in rebuilding it every time too!
#math#mathchat#APCalc#calculus
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We learned today that WebKit/Safari has special behavior for https://t.co/eOGVcjCgsB hard coded in. Guess we’re in the big leagues!
https://t.co/9par6K9z45
@RonAvitzur You can write this as a linear transformation of (p, 1), and then take the nth power of that matrix: https://t.co/ZvsAyFKQTv
I think the result is T^m(p) = exp(inm)p + (exp(in)a+b)(exp(inm)-1)/(exp(in)-1)
@MrHonner My first grade teacher taught us Chisanbop, which allows counting to 9 on one hand or 99 on two hands by assigning different place values to different fingers. I still use it all the time.
https://t.co/ErVDmOAYHP
@jckarter The logarithmic spiral has a closed form arc length parameterization too.
In general, I think curves with simple polar coordinate representations are good candidates for having closed form arc length parameterizations.
https://t.co/08XuBX1CUh