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MikaelSlevinsky avatar MikaelSlevinsky commented on June 25, 2024

What about sum(u)?

from approxfun.jl.

eschnett avatar eschnett commented on June 25, 2024

sum(u) works.

Is this how the definite integral should be calculated?

from approxfun.jl.

jishnub avatar jishnub commented on June 25, 2024

Yes, I believe this comes from Chebfun

from approxfun.jl.

MikaelSlevinsky avatar MikaelSlevinsky commented on June 25, 2024

It's in some sense just a synonym for DefiniteIntegral, but in this case the overrides for the autodiff live here https://github.com/JuliaApproximation/ApproxFun.jl/blob/master/src/Extras/autodifferentiation.jl, and this shows that sum, cumsum and integrate are more probably convenient.

from approxfun.jl.

dlfivefifty avatar dlfivefifty commented on June 25, 2024

I agree it's a confusing pun. An other confusing pun is conflating operators (which should be linear functions of functions) and multiplication.

The idea behind ContinuumArrays.jl/ClassicalOrthogonalPolynomials.jl was to separate the idea of "functions as vectors" and "functions as functions". The long term plan is to make ApproxFun.jl sit on top of these other projects and make a concrete distinction between these two languages. Unfortunately ApproxFun has a lot of features so it is taking a lot of time to realise this.

from approxfun.jl.

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