I won with 1. e4 e5 2. Qh5 a6 3.Bc4 a5 4. Qxf7#. I wonder if you could implement a stronger engine in regex (stockfish classic at O(1) nodes is plenty strong already)
The momentum analogue for Langevin is known as underdamped Langevin, which if you optimize the discretization scheme hard enough, converges faster than ordinary Langevin. As for your question, your guess is as good as mine, but I would guess that the nonconvexity of AI applications causes problems. Sampling is a hard enough problem already in the log-concave setting…
Does this really require stochastic calculus to prove? This should just be a standard integration, based on the fact that the expected number of samples required for fixed A being 1/(1-A).
Yep, Whink brand rust remover is 4% HF. It's a somewhat useful source of hydrofluoric acid in a pinch. I recall a procedure for making uranium tetrafluoride from uranium trioxide (which in turn was extracted from uranium ore) using that brand of rust remover as the acidic fluoride source.
For a specific example of something like this being important, remember the (very impressive) Watch for Rolling Rocks in 0.5 A presses video from a couple years ago? https://www.youtube.com/watch?v=kpk2tdsPh0A (For the uninitiated, this video presents a TAS of Super Mario 64 which beats the level Watch for Rolling Rocks without pressing the A button outside of keeping it held from entering the level.) It turns out that the route presented in the video actually fails console verification, since the crazy things he does trigger some annoying FPU crashes on console, but not on emulator. There is a happy end, though: a fixed route was published after this was discovered, and it passes console verification just fine (assuming the inputs dont desync over the 13 hour run)
We had plenty of evidence that a deterministic primality testing algorithm exists, though. The Miller-Rabin test was known to be randomized polynomial time since the 70s, and assuming the generalized Riemann hypothesis it can be made deterministic polynomial.
And while there was some nuemerical evidence that the Polya conjecture was false, there really wasnt all that much evidence that the conjecture was false. The first counterexample is around 9 billion-- you could find it yourself if you wanted.
Magnesium will only burn when heated to near its melting point of ~400 C, and thermite can only be set off at temperatures that would melt aluminum. Shipping them together is not an issue, unless the aluminum and iron oxide are freely dispersed in air.
From a practical point of view, the only semi-common thermites that can actually explode are copper and silver. However, these thermites do not "detonate" as in the definition. They merely deflagrate extremely quickly, quickly enough to fool an observer but not in the true physical sense.
Alternatively, the three components for gunpowder can be bought very cheaply and nigh-untraceably from hardware stores: potassium nitrate is stump remover, sulfur is used to reduce the pH of soils for gardening, and charcoal can be made from pyrolyzing wood in your backyard.
Potentially, but the neutralization of sulfuric acid releases a ton of heat (sometimes enough to crack glassware). By neutralizing the sulfuric acid without giving the heat anywhere to dissipate, you might just end up making things worse.
Also, as a small unrelated note, I doubt calcium carbonate would work well for neutralizing sulfuric acid-- the calcium sulfate formed is for the most part insoluble and stops the reaction.
Well, pH refers to the concentration of protons in water solvent. Since pure sulfuric acid has no water (excluding that which is in equilibrium with sulfur trioxide), pH isn't really well defined for it. A better definition of acidity which does not have this problem is the Hammett acidity function. Sulfuric acid on this scale has an acidity of -12. (Note that this acidity score is not fully comparable to pH. However, with a difference so massive (a factor of one trillion times more acidic), this subtle difference ceases to be relevant.)
If you're asking about corrosivity, sulfuric acid gets its reputation because its also strongly dehydrating. Thus, it does wonderful things like rip the water out of your skin or char paper. I would hazard a guess that the water they've found in the paper does neither of those things.
Conway showed that the generalized Collatz conjecture (recurrences with arbitrary cases dependent on the modulus) is computationally undecidable (halting problem reduces to it). The choice of modulus doesn't even need to be that big to get this result, only ~6500 or so. As far as I know, this is the only substantial result in either direction for this problem.
The thing with these substances is that although these substances are best known for their psychological effects, they may also have some medically useful effects for somatic disorders. For example, some of the psychedelic phenethylamines and tryptamines are extremely effective agonists of 5-HT2A, which is a seretonin receptor found in the brain which modulates certain aspects of cognition. However, this receptor is also expressed throughout the body, and it seems to have something to do with rheumatoid arthritis. (This is why SSRIs are occasionally prescribed off-label for RA.) The phenethylamine DOI is actually such a strong agonist for this receptor that it is used in biology labs to study the receptor in vitro, and it has actually been studied and found to at least partially alleviate rheumatoid pain. [1]
Unless my understanding of things is wrong, I'm pretty sure that unless the strong exponential time hypothesis (essentially, n variable CNF-SAT takes O(2^n) time in the worst case) is false, no diff algorithm can run in subquadratic time. If you could, then you would be able to solve longest common subsequence in subquadatic time, and that in turn implies SETH being false by https://arxiv.org/abs/1501.07053 .
I'm pretty sure exact diff in subquadratic time is therefore impossible. It's still a nice heuristic though.