Tootfinder

Reykjavík Grapevine provides answers to questions you were too afraid to ask
https://grapevine.is/mag/2025/07/07/help-call-charlie-campsites-expensive-vegetables-beautiful-but-harmless-eruption-more/…

From Iceland — Help? Call Charlie! Campsites, Expensive Vegetables, Beautiful But Harmless Eruption & More
Unsolicited advice from an unreliable advisor Help is a four-letter verb meaning “to make it easier or possible for someone...

I have a question about the following:
Space-X satellites are relatively low orbit - they go around the world, their radio/signal footprint on the ground goes around the world with them.
So how does a single country, the US, issue "license" for radio spectrum that apply outside of the US geographic borders?
"SpaceX buys wireless spectrum from EchoStar in $17 billion deal"

Trump regime feeling emperor vibes.
https://www.theguardian.com/us-news/2025/aug/06/jd-vance-ohio-lake-water-levels

Zariski-dense deformations of standard discontinuous groups for pseudo-Riemannian homogeneous spaces
Kazuki Kannaka, Toshiyuki Kobayashi
https://arxiv.org/abs/2507.03476

Zariski-dense deformations of standard discontinuous groups for pseudo-Riemannian homogeneous spaces
Let $X=G/H$ be a homogeneous space of a Lie group $G$. When the isotropy subgroup $H$ is non-compact, a discrete subgroup $Γ$ may fail to act properly discontinuously on $X$. In this article, we address the following question: in the setting where $G$ and $H$ are reductive Lie groups and $Γ\backslash X$ is a standard quotient, to what extent can one deform the discrete subgroup $Γ$ while preserving the proper discontinuity of the action on $X$? We provide several classification results, in…

Daboll noncommittal on Giants QB for Week 2 https://www.espn.com/nfl/story/_/id/46191005/giants-daboll-passes-starting-qb-questions-loss

Classification of Finite Groups With Equal Left and Right Quotient Sets
Haran Mouli, Pramana Saldin
https://arxiv.org/abs/2509.04717 https://arxiv.org/pdf/…

Classification of Finite Groups With Equal Left and Right Quotient Sets
In this paper, we classify all finite groups $G$ which have the following property: for all subsets $A \subseteq G$, we have $|AA^{-1}| = |A^{-1}A|$. This question is motivated by the problem in additive combinatorics of More Sums Than Difference sets and answers several questions posed in arXiv:2509.00611 [math.NT].

Taming Data Challenges in ML-based Security Tasks: Lessons from Integrating Generative AI
Shravya Kanchi, Neal Mangaokar, Aravind Cheruvu, Sifat Muhammad Abdullah, Shirin Nilizadeh, Atul Prakash, Bimal Viswanath
https://arxiv.org/abs/2507.06092

Taming Data Challenges in ML-based Security Tasks: Lessons from Integrating Generative AI
Machine learning-based supervised classifiers are widely used for security tasks, and their improvement has been largely focused on algorithmic advancements. We argue that data challenges that negatively impact the performance of these classifiers have received limited attention. We address the following research question: Can developments in Generative AI (GenAI) address these data challenges and improve classifier performance? We propose augmenting training datasets with synthetic data genera…

How Easy Is It to Learn Motion Models from Widefield Fluorescence Single Particle Tracks?
Zachary H. Hendrix, Lance W. Q. Xu, Steve Presse
https://arxiv.org/abs/2507.05599

How Easy Is It to Learn Motion Models from Widefield Fluorescence Single Particle Tracks?
Motion models are often deduced from fluorescence widefield tracking experiments by analyzing single-particle trajectories post-processed from the data. This analysis immediately raises the following question: To what degree is our ability to learn motion models impacted by analyzing post-processed trajectories versus the raw measurements? To answer this question, we mathematically formulate a data likelihood for diffraction-limited fluorescence widefield tracking experiments. In particular, we…

Following a discussion on reddit of all places, here's a poll. Please spread far and wide because [garbled audio, static, unintelligible noises]
The question is: do you normally listen to and enjoy audiobooks?
Also, this is what I mean by "inner monologue" (sorry it's not WP but that page terrifies me)

How Inner Monologues Work, and Who Has Them
Inner monologues can represent a rich experience for some, as long as they don’t get out of hand.

Super homology groups of differential forms and vector fields on Euclidean line
Kentaro Mikami, Tadayoshi Mizutani
https://arxiv.org/abs/2509.04698 https://

Super homology groups of differential forms and vector fields on Euclidean line
The arXiv:2105.09738 claims several stuffs. In particular, we recall the following two. (1) Vector fields and differential forms become a Lie superalgebra structure for each manifold. (2) For an n-dimensional Euclidean space, vector fields and differential forms with polynomial coefficients become a double weighted Lie uperalgebra. By using Euler vector field, the Betti numbers are 0 except the last one if the primary weight and the secondary weight are different. Now, a simple question arises:…