I don't know what specific problem Kelley and Meka were working on, but the connection between arithmetic progression free sets and computer science (especially communication complexity) is somewhat well established.…
Strassen is reasonably numerically stable (although not as good as the naive algorithm), and everything beyond Strassen is extremely unstable. This is due to a trick that many of these algorithms employ: you technically…
The constants are galactic: any 'fast matrix multiplication' algorithm outside of Strassen's algorithm has some incredible constants that are somewhat intrinsic to the recursive framework. The algorithm is primarily of…
A small clarification: this trick is not new. It was discovered very early on in the investigation of the Wii VC release of Super Mario 64. It was rediscovered by a group of people who were interested in an application…
I think there's an easier to visualize solution to the box problem. Let A have dimensions (a,b,c) and let B have dimensions (x,y,z). Assume A fits inside B. We have (a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2ac + 2bc. This is…
No, pretty much all serine hydrolases are affected by organophosphates (assuming they can reach the active site). For example, the compounds IDFP[0] and MAFP[1] can both be used to inhibit serine hydrolase activity in…
...which is a serine hydrolase.
Your claim about fluorine being essential for organophosphate nerve agents is incorrect. The original nerve agent, tabun, contains no fluorine at all for example. Neither do VX, parathion, or paraoxon. The mechanism…
Quick addendum: although the four color theorem proof always seems to require a case analysis at some point, proving that planar graphs admit 5-colorings can be done with a very short proof. Not particularly relevant to…
I don't know what specific problem Kelley and Meka were working on, but the connection between arithmetic progression free sets and computer science (especially communication complexity) is somewhat well established.…
Strassen is reasonably numerically stable (although not as good as the naive algorithm), and everything beyond Strassen is extremely unstable. This is due to a trick that many of these algorithms employ: you technically…
The constants are galactic: any 'fast matrix multiplication' algorithm outside of Strassen's algorithm has some incredible constants that are somewhat intrinsic to the recursive framework. The algorithm is primarily of…
A small clarification: this trick is not new. It was discovered very early on in the investigation of the Wii VC release of Super Mario 64. It was rediscovered by a group of people who were interested in an application…
I think there's an easier to visualize solution to the box problem. Let A have dimensions (a,b,c) and let B have dimensions (x,y,z). Assume A fits inside B. We have (a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2ac + 2bc. This is…
No, pretty much all serine hydrolases are affected by organophosphates (assuming they can reach the active site). For example, the compounds IDFP[0] and MAFP[1] can both be used to inhibit serine hydrolase activity in…
...which is a serine hydrolase.
Your claim about fluorine being essential for organophosphate nerve agents is incorrect. The original nerve agent, tabun, contains no fluorine at all for example. Neither do VX, parathion, or paraoxon. The mechanism…
Quick addendum: although the four color theorem proof always seems to require a case analysis at some point, proving that planar graphs admit 5-colorings can be done with a very short proof. Not particularly relevant to…