AI can easily write the lean for any proofs they do. The problem is that lean is missing large parts of established mathematics.
My current lean project has to cite all of these externally due to missing lean support.

    Functional equations / means
    - lit_aczel_1948 — Aczél: symmetric + homogeneous means power/quasi-arithmetic mean (the CES forcing)
    - lit_aczel_1966_weighted — weighted Aczél characterization (weighted means)

    Fixed-point / topology
    - lit_brouwer_1911 — Brouwer fixed point
    - lit_cellina_approximate_selection_1969 — approximate selection (closed-graph correspondences); with Brouwer
      Kakutani
    - lit_glicksberg_1952 — Glicksberg fixed point (infinite/Bayesian games)
    - lit_berge_maximum_theorem_1959 — Berge maximum theorem (upper-hemicontinuity)

    Probability / large deviations
    - lit_sanov_1957 — Sanov / method of types (large-deviation rate = KL)
    - lit_fisher_tippett_gnedenko_1928 — extreme-value theorem (GEV limit laws)
    - lit_kolmogorov_1931_fokker_planck — Fokker–Planck diffusion equation

    Optimal transport / matching
    - lit_sinkhorn_1967 — Sinkhorn matrix scaling (entropic OT)
    - lit_lp_strong_duality_1951 — LP / transportation strong duality (Gale–Kuhn–Tucker)
    - lit_entropic_penalty_cominetti_sanmartin_1994 — entropic-penalty -convergence (T0)
    - lit_gale_shapley_1962 — deferred acceptance produces a stable matching
    - lit_gale_shapley_proposer_optimal_1962 — proposer-optimality of deferred acceptance

    Stochastic calculus / PDE
    - lit_ito_1944 — Itô's lemma
    - lit_black_scholes_pde_solution_1973 — closed-form solution of the Black–Scholes PDE
    - lit_liouville_dirichlet — Liouville/Dirichlet (harmonic-function / PDE result)

    Dynamical systems
    - lit_saddlenode_passage_time — saddle-node "bottleneck" passage time / (Strogatz/Fenichel)

I was also thinking of https://xkcd.com/323/, specifically the part "You can't just give a team of coders a year's supply of whiskey", because that's what AI coding looks like to me. Instead of giving devs just enough rope to hang themselves, we're now giving dilettante coders the keys to the entire rope industry.

"I love this company" or "Developers, developers, developers, developers". https://www.youtube.com/watch?...

This (obviously planted by advertisers exactly to fingerprint users) API is chrome only.

And we know chrome users are logged in their google account at all times directly in the browser, ready to tell the ad-networks which user it is exactly. Google have no need for it, for now.

So, the only place actually using this feature is facebook. The only kid left out of the google ad network.

I want to eat human flesh, particularly humans whose names start with "dev" and end with "slash0". Do you have a problem with that? Because ain't nobody going to tell me what I should and should not eat.

In other words, I'm sick and tired of people who think their choice of food is only about their personal rights. The food always comes from somewhere. Most people don't go around robbing grocery stores just because they think they have a divine right to eat what they want.

Don't ban from arvix for not proofreading something like citations on a hot result. Where do you draw the line? Drawing the line is hard to do so just push them into the secondary queue. Then they have to redeem themselves to get back into the main one.

This is so obvious, if they start banning people a second competing service will emerge.

A better idea is to simply have two submission queues. If you get banned from the high quality one you have to use the low quality queue. If they don't do that someone else is going to do it. It is a fact of life that papers are going to have AI generated writing in them going forward. Just accept this fact and make two queues.

If a chemical reaction is sped up by sound waves, does it mean the chemicals have a special sense of sound? Or is it just the basic mechanics of increasing collisions between different atoms/ions/molecules?

How is this profitable to them? They sell the same TV all over the world. AFAIK the US is the only company with a monopolist controlling TV listing guides. This monopolist changes them a monthly fee for every active TV, Sony getting no further revenues. I haven't looked in a while but you as a consumer, can also subscribe to this service. I think they want $3/mth from retail customers. I haven't dealt with this in over ten years so I am forgetting the details.

It is because the directory info comes from a US company with a monopoly and they charge exorbitant amounts of money for it and then use copyright to shutout competitors. Tribune Corp used to own it (Chicago Tribune the Wriggly family, those monopolists).

They seem particularly unreliable when asked to tell the difference between a headmaster and a fundamental rule.

Translation: we don't currently have a quantum algorithm for reversing hashes. But there was a time, not that long ago, when we didn't have a quantum algo for factorization either. However, I don't expect to see a quantum algo for hash reversion any time soon, because the whole problem of reversing hashes is pretty complex.

Factorization as a classical problem is essentially trivial, in that there are very simple classical algorithms for it. They just take a lot of time to run. But coming up with an efficient quantum algorithm was not trivial, and the algorithm itself isn't so simple. So you can estimate that a quantum version of any algorithm is a lot more complex than the classical counterpart.

I've only taken fairly general master's level courses in quantum information and regular cryptography, but I agree with this overall sentiment. My math professors used to say that no asymmetric encryption scheme has been proved unbreakable; we only know if they haven't been broken so far. Assuming something is unbreakable is like saying Fermat's last theorem is unprovable — until one day it's proved. So to me "post quantum cryptography" is essentially a buzzword.

Interestingly, Finnish government was planning to move election systems to Amazon's cloud, but the plan was just recently cancelled due to public outcry. https://www.heise.de/en/news/F...

Topography, schmopography. Just load the oil onto trucks, the same way Trump suggested working around the Hormuz strait situation.