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⟨Leibniz-Grassmann-Clifford⟩ multilinear differential geometric algebra

Language: Julia

Time to give Julia a shot! It has this amazing package [1] for geometric algebras in up to a very high number of dimensions.

[1]: https://github.com/chakravala/Grassmann.jl

This article is really about geometric algebra, check out my geometric algebra software https://github.com/chakravala/Grassmann.jl
I've been on the bivector discord since the beginning (aka chakravala), you can find my geometric algebra library Grassmann.jl https://github.com/chakravala/Grassmann.jl
Geometric algebra, which i implemented in software in Julia: Grassmann.jl https://github.com/chakravala/Grassmann.jl

In the future, geometric algebra will likely be part of everything we do, but it is still very unknown as of now.

I heart your Grassman gradient vector field representations: https://github.com/chakravala/Grassmann.jl. They, heh heh, point the way toward representing aspects of physics and math that should be used far more frequently than they are now. They display the quirks that you could never apprehend looking at an equation. Your representations could eviscerate the representations of data base on paper-like metaphors.

Sadly our leaders, the John Baez and Scott Aronson and people like that, prefer to think in Euler notation and WordPress posts. As Kurt Vonnegut said: So it goes.

The world of representation of difficult concepts using interactive 3D and elegant code is still in its infancy. You are not yet at the ground floor of the construction of a future elegant structure. You - and a few others - are in at the second basement.

Fortunately, the only way out is to look up!

If you are interested in geometric algebra for the Julia language, you may want to check out Grassmann.jl also:

https://github.com/chakravala/Grassmann.jl

If you enjoy geometric algebra, you might like my Julia language implementation

Grassmann.jl (features on bivector.net)

https://github.com/chakravala/Grassmann.jl

Recently I made a video presentation about geometric algebra, including the formulation of Maxwell's equations in GA: https://youtu.be/7hlDRLEhc8o

Also, my implementation of geometric algebra in the Julia language, Grassmann.jl https://github.com/chakravala/Grassmann.jl

It helped me truly understand Maxwell's equations for the first time, understanding that it is not just some physical artifact but actually a natural foundational idea in pure mathematics applicable to physics.

If you are interested in geometric algebra, you might enjoy my implementation of it in the Julia language: Grassmann.jl

https://github.com/chakravala/Grassmann.jl

My package called Grassmann.jl offers somewhat higher dimensional algebras than the python package here:

https://github.com/chakravala/Grassmann.jl

Please check out my geometric algebra software at https://github.com/chakravala/Grassmann.jl
Geometric algebra

It's an algebra which unifies linear algebra with quaternions and tensors.

My implementation in Julia is at https://github.com/chakravala/Grassmann.jl

We have a chat community of geometric algebra enthusiasts at https://bivector.net

An interesting alternative to linear algebra is geometric algebra. I recommend googling around a bit for geometric algebra and trying out my implementation https://github.com/chakravala/Grassmann.jl