mfn

18 ms·

1.
Math Is Eating the World–and Software Is the Accelerant(mfaizan.github.io)
8 points by mfn 2y ago|1 comments
2.
by mfn 2y ago
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 dimensional case. Say we have two vectors. When de
3.
Why Are Sines and Cosines Used for Positional Encoding?(mfaizan.github.io)
2 points by mfn 3y ago|0 comments
4.
by mfn 3y ago
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 et al., 2017: > That is, each dimension of the posit
5.
Why Are Sinusoidal Functions Used for Position Encoding?(mfaizan.github.io)
5 points by mfn 3y ago|1 comments
6.
by mfn 4y ago
(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 surveyor walking in a line starting from the o
7.
by mfn 4y ago
(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 relevant whether we minimize or maximize it - AFAI
8.
by mfn 4y ago
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 accessible: https://theoreticalminimum.co
9.
by mfn 4y ago
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 also talk about the Einstein summation convention
10.
Why is symmetry so important in particle physics?(mfaizan.github.io)
121 points by mfn 4y ago|60 comments
11.
by mfn 4y ago
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 of classical field theory, but QED is
12.
Why is symmetry so important in particle physics?(mfaizan.github.io)
1 points by mfn 4y ago|0 comments
13.
by mfn 4y ago
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 directly to quantum mechanics, the concept of a Lagrangi
14.
Why Is Group Theory So Important in Particle Physics?(mfaizan.github.io)
5 points by mfn 4y ago|3 comments
15.
by mfn 5y ago
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 first. Most of the article tries to provide some intuition beh
16.
Why tensors? A beginner's perspective(mfaizan.github.io)
173 points by mfn 5y ago|105 comments
17.
Dr. Ezekiel Emanuel: Why I Hope to Die at 75(technologyreview.com)
1 points by mfn 7y ago|0 comments
18.
by mfn 10y ago
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 time building people skills instead as those seemed to be more
19.
by mfn 10y ago
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 extremely high barriers to entry), high pay, loc
20.
by mfn 10y ago
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 recall information from a book
21.
by mfn 10y ago
If you don't mind me asking, any other resources you found useful for PM interviews?
22.
by mfn 10y ago
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 mathematical habits", because the causation coul
23.
by mfn 10y ago
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 textbook by any means, but it provides a
24.
by mfn 10y ago
> Let me guess: most of your hard work came from doing something physical like ingesting drugs like caffeine, adderall, or LSD I agree that our biology probably plays a much bigger part in determining how productive we are than any simpl
25.
by mfn 11y ago
Optogenetics is incredibly exciting. Trying to understand the brain without such a technique seems analogous to trying to debug a complex program without being able to vary its inputs and instrument it to dump state information. Boyden ment
26.
by mfn 11y ago
Great point. I think this applies to scientific research in general, which is why the constant emphasis on only funding research with clear and immediate economic payoff seems a bit shortsighted. In reality, chances are that most research w
27.
by mfn 11y ago
Out of curiosity, and if you don't mind sharing, do you have a site/blog where I'd be able to find more of your writing?
28.
The Birth of the Universe and the Origin of Laws of Physics [Video](cornell.edu)
3 points by mfn 12y ago|0 comments
29.
by mfn 12y ago
I'm surprised C# is gaining this much traction in the games community despite the complete abandonment of both XNA and Managed DirectX by Microsoft.
30.
Windows Template Library (WTL) 9.0 released(sourceforge.net)
1 points by mfn 12y ago|0 comments

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