Viewing profile — mfn

I believe the key realization here is that we're applying a rotation matrix as part of the encoding. Why does this work? I've found that it's helpful to consider just the two dimen…

Sinusoidal positional embeddings have always seemed a bit mysterious - even more so since papers don't tend to delve much into the intuition behind them. For example, from Vaswani …

(2/2) > I have no idea what's going on here. Why would you measure different points of the field with different coordinate systems and expect sensical results? I'm imagining a surv…

(1/2) Hey thanks for the in depth review! > The next couple of examples only minimize the Lagrangian; are there any systems in this article that maximize it? So it's not really rel…

Yes, that's an excellent book, along with his book on QFT. I also can't recommend this course enough, Susskind has done a remarkably good job at making advanced physics concepts ac…

Yeah I wasn't sure how to set things up there - if I kept a single space dimension + a time dimension, then I'd have to explain the negative sign on one of the terms, and probably …

Regarding how to derive Maxwell’s equations from QED, I’d recommend this lecture: https://theoreticalminimum.com/courses/special-relativity-an... This derivation is in the context …

Thanks for the link! I'm a huge fan of Peter Woit - his blog especially. So my understanding is that while the way Lagrangians are written in classical theory doesn't extend direct…

That’s the approach I used as well in the second half of the article - I just mentioned the transformation law in the beginning since that’s what most physics students encounter fi…

Thoughts on the switch? I decided to become a PM full-time after a couple of dev internships, thinking that given the pace of change in tech, it would be a better idea to spend tim…

Maybe I'm missing something but it seems like medicine close to ideal once you're in your late 30s and have paid off med school debt. You've got insane job security (due to the ext…

Thanks, that's a very insightful way to think about it. Reminded me of PG's "How You Know" ( http://www.paulgraham.com/know.html ), where he points out that not being able to recal…

If you don't mind me asking, any other resources you found useful for PM interviews?

It might also be that individuals who have these traits self-select into studying math. So we can't easily conclude that studying math leads to the development of these "highly mat…

I'm currently reading through 'The Machinery of Life' by David Goodsell, and I'm really enjoying the intuitive explanations it has of the basic workings of cells. It's not a textbo…