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Linear Alternatives
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linear reviews and mentions

GHC.Num: Why no multiplication commutativity?
Linear.Quaternion.Quaterion from the linear package has a Num instance, and quaternion multiplication is noncommutative.

Is there an existing typeclass for differences?
That's pretty much exactly the abstraction used in the 'linear' package's Affine class, in which we find points separated by vectors.

What are the current challenges in Numerical Programming for Haskell?
Linear algebra: hmatrix again with its own array type (and linear but this is restricted to low dimensions)

Advanced programming exercises/apps recommendations to code
This is very niche, but something I've wanted to do for a while is to generate some cool physics example on the surface of a sphere with https://hackage.haskell.org/package/hamilton, and display it with https://reanimate.github.io/ (using https://hackage.haskell.org/package/linear for the projection)

How to create my Functor / Eq / Num combination on Coords?
Do check out the linear package. It has some complicated parts, but the types work out very nicely. Your Coords type is called V3 in that package, it has a huge list of instances for all kinds of different type classes.
 Advent of Code 2021 day 06

Probabilistic modelling in Idris: engineering as research
I've come to love the linear approach, where instead of working with Naperian (Representable) functors, you work with Distributive functors.

Monthly Hask Anything (June 2021)
See also the linear library, it contains types like data V3 a = V3 a a a with all of the useful instances.

A note from our sponsor  WorkOS
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ekmett/linear is an open source project licensed under BSD 3clause "New" or "Revised" License which is an OSI approved license.
The primary programming language of linear is Haskell.
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