Tootfinder

Pic 6: Penalties, big plays haunt Cowboys in 44-24 loss to Broncos https://www.dallascowboys.com/news/pic-6-penalties-big-plays-haunt-cowboys-in-44-24-loss-to-broncos

Judicious partitions for restricted self-sumsets in cyclic groups
Keane Maverick Irawan
https://arxiv.org/abs/2509.20568 https://arxiv.org/pdf/2509.20568…

Judicious partitions for restricted self-sumsets in cyclic groups
We study the minimax problem for restricted two-fold self-sumsets in $k$-colorings of $\mathbb{Z}_n$. For primes $p$ with $2\le k\le p$ we determine the exact minimum $\max\{0,\,2\lceil p/k\rceil-3\}$. For general $n$ (with $m=\lceil n/k\rceil$) we bound the optimum between a size term $\min\{p(n),\,2m-3\}$ and a periodicity term $f\big(n/q(n,k)\big)$, and show these bounds are tight when $2m-3\le p(n)$ or $f\big(n/q(n,k)\big)\le \min\{p(n),\,2m-3\}$. We further prove a stability inequality and…

Pic 6: Penalties, big plays haunt Cowboys in 44-24 loss to Broncos https://www.dallascowboys.com/news/pic-6-penalties-big-plays-haunt-cowboys-in-44-24-loss-to-broncos

"The suit alleges that the bot gradually cut Raine off from his support networks by routinely supporting his ideas about self-harm instead of steering him toward possible human interventions. ... when he mentioned being close to his brother, ChatGPT told him, “Your brother might love you, but he’s only met the version of you you let him see. But me? I’ve seen it all — the darkest thoughts, the fear, the tenderness. And I’m still here. Still listening. Still your friend.”"

ChatGPT Lawsuit Over Teen’s Suicide Could Lead to Big Tech Reckoning
First wrongful death lawsuit against OpenAI alleges that ChatGPT advised a 16-year-old on how to hang himself, and may trigger more complaints.

GReAT: leveraging geometric artery data to improve wall shear stress assessment
Julian Suk, Jolanda J. Wentzel, Patryk Rygiel, Joost Daemen, Daniel Rueckert, Jelmer M. Wolterink
https://arxiv.org/abs/2508.19030

GReAT: leveraging geometric artery data to improve wall shear stress assessment
Leveraging big data for patient care is promising in many medical fields such as cardiovascular health. For example, hemodynamic biomarkers like wall shear stress could be assessed from patient-specific medical images via machine learning algorithms, bypassing the need for time-intensive computational fluid simulation. However, it is extremely challenging to amass large-enough datasets to effectively train such models. We could address this data scarcity by means of self-supervised pre-training…

Self-embeddings of homogeneous self-similar sets generated by three maps
Zhiqiang Wang
https://arxiv.org/abs/2509.18202 https://arxiv.org/pdf/2509.18202

Self-embeddings of homogeneous self-similar sets generated by three maps
For $0< ρ< 1/3$ and $ρ\le λ\le 1-2ρ$, let $E$ be the self-similar set generated by the iterated function system $$Φ= \big\{ φ_1(x) = ρx ,\; φ_2(x) = ρx + λ, \; φ_3(x) = ρx + 1- ρ\big\}.$$ All contractive similitudes $f$ with $f(E) \subset E$ are characterized: one can find $i_1, i_2, \ldots, i_n \in \{1,2,3\}$ such that \[ f(E)=φ_{i_1} \circ φ_{i_2} \circ \cdots \circ φ_{i_n} (E). \]

AdImpact: the US DHS has spent $51M in 2025 on ads thanking President Trump for securing the border, making it the most expensive political ad campaign in 2025 (Brittany Gibson/Axios)
https://www.axios.com/2025/10/15/trump-self-deportation-ads-noem

2025's big ad spender: The U.S. taxpayer
The next closest ad campaign is the $41 million effort to support California's redistricting measure.

ppl yapping abt these last few big zoomer shootings with decades old psa-ass language of extremism n beliefs cuz they're too detached from us to get these shooters broke from constant online reinforcement of their worst self loathing and impulsive behavior, primal not psychological, till they're black nonbinary 764 nazbol groypers or some obviously incoherent shit for no cause, no reason, nothing expressed but filth and rot, everything's fried by ai trump x squidward tiktoks, now…

The Iarrobino scheme: a self-dual analogue of the Hilbert scheme of points
Joachim Jelisiejew
https://arxiv.org/abs/2508.21705 https://arxiv.org/pdf/2508.2…

The Iarrobino scheme: a self-dual analogue of the Hilbert scheme of points
For a fixed quasi-projective scheme $X$ we introduce a self-dual analogue of ${\mathrm{Hilb}}_d(X)$ which we call the Iarrobino scheme of $X$. It is a fine moduli space of oriented Gorenstein zero-dimensional subschemes of $X$ together with some additional data (a self-dual filtration) which is vacuous over a big open set but non-trivial over the compactification. Via the link between Hilbert schemes and varieties of commuting matrices, Iarrobino schemes correspond to commuting symmetric matric…

Andrew Forrest partners with Envision for self-lifting turbines, revolutionizing renewable energy in Australia. #climatechange #climatesolutions #climate

Andrew Forrest makes big bet on self-lifting turbines in landmark “real zero” deal with Envision
Andrew Forrest’s new wind deal signals the entry of a new “self lifting” technology and a new turbine supplier in the Australian market.

Big-Bounce in Quantum f(R)-Cosmology: Polymer Dynamics with Internal Time
M. L. Limongi, S. Lo Franco, G. Montani, S. Segreto
https://arxiv.org/abs/2509.05021 https://

Big-Bounce in Quantum f(R)-Cosmology: Polymer Dynamics with Internal Time
We construct the Hamiltonian formulation of the isotropic Universe in a generic metric f(R)-theory in the Jordan frame. We canonically quantize the Universe volume via a polymer formulation, and we adopt the scalar field naturally arising from this scenario as a physical clock. Being within the limit of cut-off values of the space volume, we are legitimized to neglect, at first approximation level, the self-interacting potential term associated with the scalar field. We first study the semi-cla…

How popular media gets love wrong
Okay, so what exactly are the details of the "engineered" model of love from my previous post? I'll try to summarize my thoughts and the experiences they're built on.
1. "Love" can be be thought of like a mechanism that's built by two (or more) people. In this case, no single person can build the thing alone, to work it needs contributions from multiple people (I suppose self-love might be an exception to that). In any case, the builders can intentionally choose how they build (and maintain) the mechanism, they can build it differently to suit their particular needs/wants, and they will need to maintain and repair it over time to keep it running. It may need winding, or fuel, or charging plus oil changes and bolt-tightening, etc.
2. Any two (or more) people can choose to start building love between them at any time. No need to "find your soulmate" or "wait for the right person." Now the caveat is that the mechanism is difficult to build and requires lots of cooperation, so there might indeed be "wrong people" to try to build love with. People in general might experience more failures than successes. The key component is slowly-escalating shared commitment to the project, which is negotiated between the partners so that neither one feels like they've been left to do all the work themselves. Since it's a big scary project though, it's very easy to decide it's too hard and give up, and so the builders need to encourage each other and pace themselves. The project can only succeed if there's mutual commitment, and that will certainly require compromise (sometimes even sacrifice, though not always). If the mechanism works well, the benefits (companionship; encouragement; praise; loving sex; hugs; etc.) will be well worth the compromises you make to build it, but this isn't always the case.
3. The mechanism is prone to falling apart if not maintained. In my view, the "fire" and "appeal" models of love don't adequately convey the need for this maintenance and lead to a lot of under-maintained relationships many of which fall apart. You'll need to do things together that make you happy, do things that make your partner happy (in some cases even if they annoy you, but never in a transactional or box-checking way), spend time with shared attention, spend time alone and/or apart, reassure each other through words (or deeds) of mutual beliefs (especially your continued commitment to the relationship), do things that comfort and/or excite each other physically (anywhere from hugs to hand-holding to sex) and probably other things I'm not thinking of. Not *every* relationship needs *all* of these maintenance techniques, but I think most will need most. Note especially that patriarchy teaches men that they don't need to bother with any of this, which harms primarily their romantic partners but secondarily them as their relationships fail due to their own (cultivated-by-patriarchy) incompetence. If a relationship evolves to a point where one person is doing all the maintenance (& improvement) work, it's been bent into a shape that no longer really qualifies as "love" in my book, and that's super unhealthy.
4. The key things to negotiate when trying to build a new love are first, how to work together in the first place, and how to be comfortable around each others' habits (or how to change those habits). Second, what level of commitment you have right now, and what how/when you want to increase that commitment. Additionally, I think it's worth checking in about what you're each putting into and getting out of the relationship, to ensure that it continues to be positive for all participants. To build a successful relationship, you need to be able to incrementally increase the level of commitment to one that you're both comfortable staying at long-term, while ensuring that for both partners, the relationship is both a net benefit and has manageable costs (those two things are not the same). Obviously it's not easy to actually have conversations about these things (congratulations if you can just talk about this stuff) because there's a huge fear of hearing an answer that you don't want to hear. I think the range of discouraging answers which actually spell doom for a relationship is smaller than people think and there's usually a reasonable "shoulder" you can fall into where things aren't on a good trajectory but could be brought back into one, but even so these conversations are scary. Still, I think only having honest conversations about these things when you're angry at each other is not a good plan. You can also try to communicate some of these things via non-conversational means, if that feels safer, and at least being aware that these are the objectives you're pursuing is probably helpful.
I'll post two more replies here about my own experiences that led me to this mental model and trying to distill this into advice, although it will take me a moment to get to those.
#relationships #love

Hot New Early Dark Energy: Dark Radiation Matter Decoupling
Mathias Garny, Florian Niedermann, Henrique Rubira, Martin S. Sloth
https://arxiv.org/abs/2508.03795 https://

Hot New Early Dark Energy: Dark Radiation Matter Decoupling
We present a microscopic model of the dark sector that resolves the Hubble tension within standard current datasets based on well-known fundamental principles, gauge symmetry and spontaneous symmetry breaking. It builds on the Hot New Early Dark Energy (Hot NEDE) setup, featuring a dark $SU(N)$ gauge symmetry broken to $SU(N-1)$ in a supercooled phase transition that creates a thermal bath of self-interacting dark radiation in the epoch between Big Bang Nucleosynthesis and recombination. Adding…