geometric algebra
10 statements across 1 episodes · 8 bullish · 0 bearish · 1 people on the record · first statement Sep 17, 2018 by Joan Lasenby · across every show →
Everything said about geometric algebra, oldest first
Sep 17, 2018 neutral
Sep 17, 2018 positive
Lasenby: Geometric algebra empowers practitioners with geometric intuition over advanced math
“A lot of people have a lot of geometric insight But maybe not the mathematical sophistication. And I think this will certainly sort of give them a big advantage because it seems to me to be the way the world works. This, if it's a unifying language, it's what …”
Sep 17, 2018 positive
Lasenby: Engineers are developing geometric algebra instruction sets for FPGAs and chipsets
“We have a community, not a massive community, but there are lots of people who are very interested in, in you know, potentially getting instructions for chip sets, et cetera. FPGA is, it is. So, and of course we have quite a lot of Programs that people have be…”
Sep 17, 2018 positive
Sep 17, 2018 neutral
Lasenby: Geometric algebra requires more underlying compute but simplifies code
“Underlying, you've got an algebra of A much bigger algebra than three-dimensional space where I've got three vectors. So actually, computationally, there's more going on. There's more going on. Yeah, but at a higher level, you know, I can get code to do all th…”
Sep 17, 2018 positive
Lasenby: Geometric algebra eliminates trial-and-error matrix hacks in computer vision
“If people have worked with computer vision, they will know that often things don't work. So instead of a rotation matrix R, they try R transpose. And instead of a translation vector T, they try R transpose T. And they mess around until it works because it's ki…”
Sep 17, 2018 positive
Sep 17, 2018 positive
Lasenby: Geometric algebra enables easy calculus on coordinate-free objects
“So I've said that I have these geometric objects, my rotations are objects, so I can write down coordinate free expressions. But not only can I write them down, I can differentiate with respect to them, easily. So, because I have this algebra of objects. I can…”
Sep 17, 2018 positive
Lasenby: Geometric algebra unifies classical mechanics, linear algebra, and quantum physics
“So if you know this language, you can not only do rigid body dynamics in engineering, classical mechanics. You can do linear algebra without matrices and without tensors. And you can do complex things in quantum space-time physics with the same mathematical sy…”
Sep 17, 2018 positive
Lasenby: Geometric algebra requires unlearning standard commutative mathematics
“It's anti-commutative. It's not a commutative algebra. So immediately you throw away everything you've learned as a kid and through school and through university. So it makes perfect sense once you're into it, but there's a little, you know, there's a little h…”