Tootfinder

A non-face characterization of spheres on few vertices
Shuai Huang, Jasper Miller, Daniel Rose-Levine, Steven Simon
https://arxiv.org/abs/2507.06120 https:…

A non-face characterization of spheres on few vertices
We give a relatively simple characterization of simplicial $d$-spheres on $d+4$ vertices; our criteria are in terms of the intersection patterns of a simplicial complex's minimal non-faces. Namely, let $Σ$ be a simplicial complex with vertex set $[d+4]$ and let $\mathcal{F}=\{A_0,\ldots, A_{n-1}\}$ be its family of minimal non-faces, indices taken in $\mathbb{Z}_n$. Then $Σ$ is a $d$-sphere if and only if the following hold: $n\geq 3$ is odd, successive $A_i$ are disjoint, and the alternating…

Pretty shocking 18 minutes Lawrence O'Donnell about the emptyness of Trump and the results.
Lawrence O'Donnell: What you're feeling is the banality of cruelty from Trump and the Republican Party
https://www.msnbc.com/opinion/msnbc-opinio

Um, yes, I *do* block people who persist in failing to understand that an obvious shitpost is a shitpost.
We cannot safely converse, sadly.
But ed(1) IS the standard editor, while nano is wormy lukewarm excrement

Testimony from an Ogyen Kunzang Choling (OKC) Survivor https://buddhism-controversy-blog.com/2017/10/29/testimony-from-an-ogyen-kunsang-choling-okc-survivor/

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...

𝐉𝐮𝐬𝐭 𝐫𝐞𝐚𝐝: 𝑁𝑜𝑟𝑚𝑎𝑙 𝐴𝑐𝑐𝑖𝑑𝑒𝑛𝑡𝑠 by Charles Perrow. It made a big impression on me when I first came across it but when I put it in my backpack for a trip to Binghamton I recalled that the versions of many incidents in it aren’t the best you can find in the literature.
Not sure how well it aged: flying has gotten safer and people don’t write about maritime accidents like they did in the 70’s
#books

Roles of Non-switchable Domains and Internal Bias in Electrocaloric and Pyroelectric effects
Jun Usami, Yuki Okamoto, Hisashi Inoue, Takeshi Kobayashi, Hiroyuki Yamada
https://arxiv.org/abs/2506.07573

Roles of Non-switchable Domains and Internal Bias in Electrocaloric and Pyroelectric effects
Solid-state cooling and energy harvesting via pyroelectric effect (PEE) and electrocaloric effect (ECE) in ferroelectric thin films could be enhanced beyond their intrinsic ferroelectric response by exploiting the recently observed direction-dependent enhancement of the PEE; however, its microscopic origin remains unknown. Herein, we report direct hysteresis measurements of pyrocurrent ($I_{\rm p}$) and ECE-induced temperature change versus bias voltage in 1-$μ$m-thick Pb(Zr$_{0.65}$Ti$_{0.35}…

Non-Hermitian superconducting diode effect
Junjie Qi, Ming Lu, Jie Liu, Chui-Zhen Chen, X. C. Xie
https://arxiv.org/abs/2508.05101 https://arxiv.org/pdf/25…

Non-Hermitian superconducting diode effect
The study of non-reciprocal phenomena has long captivated interest in both Hermitian and non-Hermitian systems. The superconducting diode effect (SDE) is a non-reciprocal phenomenon characterized by unequal critical charge supercurrents flowing in opposite directions in Hermitian superconducting systems. In this study, we introduce an SDE driven by non-Hermiticity in a superconducting quantum interference device (SQUID) under an external magnetic flux, which we refer to as the non-Hermitian SDE…

This https://arxiv.org/abs/2308.01456 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Decomposing a signed graph into rooted circuits
We prove a precise min-max theorem for the following problem. Let $G$ be an Eulerian graph with a specified set of edges $S \subseteq E(G)$, and let $b$ be a vertex of $G$. Then what is the maximum integer $k$ so that the edge-set of $G$ can be partitioned into $k$ non-zero $b$-trails? That is, each trail must begin and end at $b$ and contain an odd number of edges from~$S$. This theorem is motivated by a connection to vertex-minors and yields two conjectures of Máčajová and Škoviera as cor…

You know you had too much DnD group memes when you hear the receptionist at the doctor's office ask someone "Can I have your name and birthday please?", and you have to stop yourself from jumping between them and shout "Nooooo!" #dnd