sleepyams

5 ms·

1.
by sleepyams 4mo ago
I think that whether we think of consciousness in terms of dualism, or if we think of it as emergent from natural behavior, it really doesn't matter functionally. Either way we are positioning it as something inaccessible from our rea
2.
by sleepyams 4mo ago
I wonder if a solution for higher education is to enforce access to technology both inside and outside of the classroom? I've been teaching math at various institutions for the past 8 years after getting my PhD, and the conversation a
3.
by sleepyams 7mo ago
I think Terrence Tao makes at least 600k at UCLA. Not too bad if you ask me.
4.
by sleepyams 11mo ago
This is really awesome! I've been really interested in creating an interactive introduction to basic algebra where parts of the equation can be manipulated using drag-and-drop, but I couldn't really figure out the best way to do
5.
by sleepyams 11mo ago
What does "higher-order" mean?
6.
by sleepyams 1y ago
This is a pretty amazing setup! I think in 2025 I would definitely prefer something like this. However, I think back in "the day" part of what made LAN parties fun was that everyone's PC was so individualized. I remember a
7.
by sleepyams 1y ago
Cool, thanks! I'm currently building a eurorack module where I need to estimate the frequency and phase of a sequence of input gate signals, and an issue I've run into is the delay inherent in the STFT algorithm. This seems like
8.
by sleepyams 1y ago
Can this process estimate the phase of the input signal in a given frequency bucket similar to the DFT?
9.
by sleepyams 3y ago
I recommend the Mario 64 "Half A-Press" video if you haven't seen it: https://www.youtube.com/watch?v=kpk2tdsPh0A
10.
by sleepyams 3y ago
The utility behind complex numbers (for physicists at least) is really that they are a model for certain algebraic and geometric properties that are together very useful.
11.
by sleepyams 3y ago
Good points, a large chunk of math is different formalizations of the notion of size, for example (in order of increasing absurdity): https://en.wikipedia.org/wiki/Cardinality https://en.wikipedia.org/w
12.
by sleepyams 3y ago
This is cool! There is also Orca: https://100r.co/site/orca.html
13.
by sleepyams 3y ago
Yep! More specifically I'm basically talking about geodesics on Riemannian manifolds.
14.
by sleepyams 3y ago
I always wondered why that is for a long time (in basic physics that at least). It wasn't until grad school that I understood that position and velocity are enough to uniquely determine a trajectory on a manifold.
15.
by sleepyams 3y ago
I think the field of chaos theory has branched into several other fields, so I would not necessarily agree that it is dead in the water. I personally have worked on projects within the last few years studying chaotic dynamical systems from
16.
by sleepyams 4y ago
One interesting result which you may find interesting: https://ncatlab.org/nlab/show/Lawvere's+fixed+point+theorem I also highly recommend this survey paper by John Baez and Mike Stay: https://math
17.
by sleepyams 4y ago
I think this is good advice but also not the only possible path towards completing a PhD in math. I get a lot of fruitful research done while binge-watching television, for instance. The key is that you have to find something that works f
18.
by sleepyams 6y ago
Do you have any recommendations for a good youtube video to watch?
19.
by sleepyams 6y ago
I actually find Pocket to be very useful as a cross-platform bookmarking app
20.
by sleepyams 6y ago
There is a nice characterization of decimal expansions in terms of paths on a graph: Let C be the countable product of the set with ten elements, i.e. {0, 1, 2, ..., 9}. The space C naturally has the topology of a Cantor set (compact, tota
21.
by sleepyams 8y ago
That makes sense, for example Reddit has a very simple concept with the upvote/downvote, but also more advanced features if you need them. But I would also argue that UIs also implicitly convey a preference for how data on the web sho
22.
by sleepyams 8y ago
Will we ever solve UI? UI is the meeting place of tech and user, and in a sense it is THE problem for humanity right now. UI informs how we tend to use the internet, and for example we are currently involved with UIs that tend towards con
23.
by sleepyams 8y ago
Roughly speculative realism?
24.
by sleepyams 8y ago
I think the insight is that there isn't really a built-in mechanism in particles for making choices, it's more that through experimentation we are _imposing_ a structure that forces a choice in an attempt to extract information.
25.
by sleepyams 8y ago
In addition to the other replies, check out Clifford algebras which generalize these types of numbers: https://en.wikipedia.org/wiki/Clifford_algebra
26.
by sleepyams 8y ago
https://en.wikipedia.org/wiki/Quaternions_and_spatial_rotati... IDK much about octonions, but quaternions have similar algebraic properties to rotation groups and can be used to encode rotations in 3D graphics.
27.
by sleepyams 8y ago
Also FileCoin: https://filecoin.io/
28.
by sleepyams 8y ago
> While I would like to think that humans are intrinsically motivated to _do_, experience shows me that most people are content to merely consume. Technology engineered to keep us scrolling only seems to exasperate the issue. Reminds me
29.
by sleepyams 8y ago
I think this is actually a really great point about making a better product. One could venture to ask: is the reputation system within the scientific institution intimately linked the notion of natural truth? If so, does focusing on appr
30.
by sleepyams 8y ago
A forum would definitely be core functionality. I've also been curious about the merits of anonymous publishing?

More ›