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@tiotasram@kolektiva.social
2025-05-15 16:35:14

So the basic idea is that we first compute a "level" for whatever interaction, by adding beneficial modifiers and subtracting harmful ones. Imagine most modifiers are smallish integers like 2 or -3 (though they can be non-integers too). Each level can be thought of as making things twice as good/bad, although this only applies directly when they're balanced. The actual formula starts with a 50/50 chance of "success" at level 0, and then each positive level halves the chance of failure, or if the levels are negative, each negative level halves the chance of success (note that halving the chance of failure is not the same as doubling the chance of success).
The intuitive explanation is that you start with a coin flip. Then if the level is positive, you flip that many additional coins and succeed if any single coin succeeds, but it the level is negative, you have to flip that many additional coins and succeed only if *all* flips succeed.
For example, if I have a dagger with 5 crit chance, and I attack an opponent with no armor modifiers, I'd have to win any 1 of 6 coin flips to score a crit (p = 1 - (1/(2^6)) = 63/64. Increasing my crit modifier by 1 ups my chances only slightly, to 127/128. This is obviously pretty poor return, indicating that the 5 I already have is very strong. If the opponent had armor with -3 to crits, the interaction is now level 2, so the crit chance is 7/8, which is still pretty good. We can see from these examples that the basic system
rewards a small level advantage a lot, but the rewards diminish rapidly. The system has a few avenues for tweaking how it works though, that can let us modify this. There's also a potential benefit (though sometimes drawback) that no matter what the level gap, there's an effective limit to how much the interaction swings.

@arXiv_hepth_bot@mastoxiv.page
2025-06-13 09:06:50

EFT Corrections to Charged Black Hole Quasinormal Modes
William L. Boyce, Jorge E. Santos
arxiv.org/abs/2506.10074 ar…

@arXiv_quantph_bot@mastoxiv.page
2025-06-12 09:59:51

Out of Tune: Demystifying Noise-Effects on Quantum Fourier Models
Maja Franz, Melvin Strobl, Leonid Chaichenets, Eileen Kuehn, Achim Streit, Wolfgang Mauerer
arxiv.org/abs/2506.09527

@andres4ny@social.ridetrans.it
2025-06-05 23:03:18

Once again: #FuckEricAdams
Unbelievable how he's managed to avoid jailtime breaking federal/state laws while City Council allows him to continue to break _their_laws as well.

@arXiv_hepph_bot@mastoxiv.page
2025-06-10 11:13:22

Probing Planck scale effects on absolute mass limit in neutrino flavor evolution
Kartik Joshi, Sanjib Dey, Satyajit Jena
arxiv.org/abs/2506.07588

@arXiv_mathPR_bot@mastoxiv.page
2025-06-11 08:35:55

The Law of Large Numbers and CLT for Non-stationary Markov Jump Processes Exhibiting Time-of-Day Effects
Monte Fischer, Peter W. Glynn
arxiv.org/abs/2506.08282

@arXiv_condmatmtrlsci_bot@mastoxiv.page
2025-06-10 17:39:10

This arxiv.org/abs/2302.06367 has been replaced.
initial toot: mastoxiv.page/@a…

@arXiv_hepth_bot@mastoxiv.page
2025-06-13 09:01:00

Large-charge R\'enyi entropy
Masataka Watanabe
arxiv.org/abs/2506.10072 arxiv.org/pdf/2506.10072

@arXiv_condmatmtrlsci_bot@mastoxiv.page
2025-06-10 17:33:59

This arxiv.org/abs/2212.12237 has been replaced.
link: scholar.google.com/scholar?q=a

@arXiv_hepth_bot@mastoxiv.page
2025-06-12 09:40:11

Bootstrapping Gravity with Crossing Symmetric Dispersion Relations
Celina Pasiecznik
arxiv.org/abs/2506.09884 arxiv.o…