Tootfinder

Bummed, I just noticed the Space Invaders: World Defense app doesn't really work anymore-- it doesn't connect to the servers or high scores, it errors out when you try and play outside.
Space Invaders: World Defense came out in 2023 and was really cool, it had an AR aspect, you could go outside and see the ships coming down in the real world. I messed around with it some back then and took some photos, but I can't find them. Should've messed around with it more then. I…

On graphs, homology bases, and triangulated homology spheres
Karim Adiprasito, Marc Lackenby, Juan Souto, Geva Yashfe
https://arxiv.org/abs/2509.06275 https://

On graphs, homology bases, and triangulated homology spheres
We describe a construction that takes as input a graph and a basis for its first homology, and returns a triangulation of a 3-dimensional homology sphere. This makes precise an idea of M. Gromov and A. Nabutovski. The immediate application, essentially described by Gromov, is to translate problems about asymptotics of homology sphere triangulations to asymptotic counting problems for constant-degree graphs with "short" homology bases. We construct families of 3- sphere triangulations with dual …

Chevalley bases for extended affine Lie algebras
Saeid Azam
https://arxiv.org/abs/2509.05743 https://arxiv.org/pdf/2509.05743

Chevalley bases for extended affine Lie algebras
Claude Chevalley provided a basis for a {finite dimensional} simple complex Lie algebra called the Chevalley basis. This basis has the distinguishing property that all the structure constants are integers. Chevalley groups, which are similar to Lie groups but over finite fields, can be constructed using these bases. Parallel results also hold in affine Lie algebras. We develop a uniform theory of Chevalley bases for extended affine Lie algebras of an arbitrary type consistent with the ordinary …

Semi-supervised Deep Transfer for Regression without Domain Alignment
Mainak Biswas, Ambedkar Dukkipati, Devarajan Sridharan
https://arxiv.org/abs/2509.05092 https://

Semi-supervised Deep Transfer for Regression without Domain Alignment
Deep learning models deployed in real-world applications (e.g., medicine) face challenges because source models do not generalize well to domain-shifted target data. Many successful domain adaptation (DA) approaches require full access to source data. Yet, such requirements are unrealistic in scenarios where source data cannot be shared either because of privacy concerns or because it is too large and incurs prohibitive storage or computational costs. Moreover, resource constraints may limit th…

Exposure Orders in Free Group Algebras: Minimal Schreier Transversals, Free Bases, and Gr\"obner Bases
Matan Seidel
https://arxiv.org/abs/2510.05906 https://

Exposure Orders in Free Group Algebras: Minimal Schreier Transversals, Free Bases, and Gröbner Bases
Consider the free group algebra $K\left[F\right]$, where $F$ is a free group and $K$ a field. A well-order $\prec$ on $F$ is called an exposure order if words are greater than their proper prefixes. We show that every one-sided ideal $I$ in $K\left[F\right]$ admits a Schreier transversal, a basis, and a Gröbner basis -- each minimal in a natural sense with respect to $\prec$. When $I$ is finitely generated and $\prec$ is computable, we provide an algorithm for computing these minimal structure…

I've had a few of these thoughts stuck in my craw all day because I watched this liberal historian talk about the Galleanisti.
https://youtube.com/shorts/93yHEn8BYE4
Basically, she says that "of course the government had the right to target them." Then she goes on to talk about how it became an excuse to carry out a bunch of attacks on other marginalized people. Now, the Galleanisti had been bombing the houses of politicians and such. I get where she's coming from saying that one of their targets "was in the right" to try to catch them. But there's some context she's not talking about at all.
These were Italian anarchists, so they were not white and they were part of an already marginalized political group. Basically all of Europe and the US was trying to wipe out anarchists at the time. Meanwhile, the sitting president at the time showed the first movie in the White House. That movie was KKK propaganda, in which he was favorably quoted. The US was pretty solidly white supremacist in the 1920's.
Like... A major hidden whole premise of the game "Bioshock: Infinite" is that if you went back to the US in the 1920's, and you had magic powers, you would absolutely use them to kill as many cops as possible and try to destroy society. There's a lot of other stuff in there, I don't want to get distracted, but "fuck those racists," specifically referring to the US in the 1920's, was a major part of a major game.
Those Italian anarchists were also stone cutters. They carved grave stones. But the dust from that can kill you, much like black lung for coal miners. So they were dying from unsafe working conditions, regularly raising money to support dying coworkers and then carving gravestones for those same coworkers.
Now, I personally think insurrectionary anarchism is a dead end. I disagree with it as a strategy. We've seen it fail, and it failed there. But of course it makes sense that they wanted to blow up the government.
...And that's the correct way to structure that. When you say, "of course they were in the right" you're making a very clear political statement. You could easily say, "the cops in Vichy France had every right to hunt down the French Resistance." You would technically be correct, I guess. But it would really say something about your politics if you justified the actions of Nazi collaborators over those fighting against the Nazis.
And you may say, "oh, but the Nazis didn't have justification for anything. They invaded a sovereign nation, so their government wasn't legitimate anyway."
To which I would reply, "have you considered a history book about the US?"

Pulsar timing array analysis in a Legendre polynomial basis
Bruce Allen, Arian L. von Blanckenburg, Ken D. Olum
https://arxiv.org/abs/2510.05913 https://ar…

Pulsar timing array analysis in a Legendre polynomial basis
We use Legendre polynomials (previously discussed in this context by Pitrou and Cusin [1]) to model signals in pulsar timing arrays (PTA). These replace the (Fourier mode) basis of trigonometric functions normally used for data analysis. The Legendre basis makes it simpler to incorporate pulsar modeling effects, which remove constant-, linear-, and quadratic-in-time terms from pulsar timing residuals. In the Legendre basis, this zeroes the amplitudes of the the first three Legendre polynomials.…

Dynamic Functional Connectivity Features for Brain State Classification: Insights from the Human Connectome Project
Valeriya Kirova, Dzerassa Kadieva, Daniil Vlasenko, Isak B. Blank, Fedor Ratnikov
https://arxiv.org/abs/2510.05325

Dynamic Functional Connectivity Features for Brain State Classification: Insights from the Human Connectome Project
We analyze functional magnetic resonance imaging (fMRI) data from the Human Connectome Project (HCP) to match brain activities during a range of cognitive tasks. Our findings demonstrate that even basic linear machine learning models can effectively classify brain states and achieve state-of-the-art accuracy, particularly for tasks related to motor functions and language processing. Feature importance ranking allows to identify distinct sets of brain regions whose activation patterns are unique…

“Shell scraps construction of biofuels plant in Rotterdam"
#Shell #FossilFuels #Energy

Feedback Linearisation with State Constraints
Songlin Jin, Yuanbo Nie, Morgan Jones
https://arxiv.org/abs/2509.05191 https://arxiv.org/pdf/2509.05191

Feedback Linearisation with State Constraints
Feedback Linearisation (FBL) is a widely used technique that applies feedback laws to transform input-affine nonlinear dynamical systems into linear dynamical systems, allowing for the use of linear controller design methods such as pole placement. However, for problems with state constraints, controlling the linear system induced by FBL can be more challenging than controlling the original system. This is because simple state constraints in the original nonlinear system become complex nonlinea…