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Geometric algebra It's an algebra which unifies linear algebra with quaternions and tensors. My implementation in Julia is at https://github.com/chakravala/Gr
by DreamScatter 6y ago
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 https://github.com/chakravala/Grassmann.jl
We have a chat community of geometric algebra enthusiasts at https://bivector.net https://bivector.net
- WantonQuantum 6y agoOkay, time to have another shot at understanding Clifford Algebra!
- teleforce 6y agoActually I want to suggest this topic as well. Modern breakthroughs for example Maxwell's Equation and Einstein's Relativity are both heavily relied on quaternion for their discovery. For Maxwell's Equation you only need one equation with quarternion instead of four separate equations as proposed by Heaviside! The problem is that the majority of academics and scholars are still stucked with complex number, and they are the same people who are wondering why complex number concept was originally rejected by the academics and scholars when it was first introduced.
- rmrfstar 6y agoCool! But, what's the practical/applied angle here?
- jl2718 6y agoAnybody have an idea for how much hardware acceleration is possible for these types? I had a mathematician come to me with a proposal to develop an instruction set, but I don’t think I know enough to say whether it’s worth it versus emulation with real vectors.