Tootfinder

Grassmann cactus variety and socle dimension
Weronika Buczy\'nska, Jaros{\l}aw Buczy\'nski, Maciej Ga{\l}\k{a}zka
https://arxiv.org/abs/2507.21586 https://

Grassmann cactus variety and socle dimension
Grassmann cactus variety is a common generalisation of Grassmann secant variety and cactus variety. In their definitions one considers the vector spaces of fixed dimension that are contained in the linear span of some finite schemes. We prove that to characterise Grassmann cactus varieties it is enough to use finite schemes that locally have low socle dimension. This motivates the study of parameter spaces of such schemes and simplifies calculations of examples of Grassmann cactus varieties.

Diffusion Denoiser-Aided Gyrocompassing
Gershy Ben-Arie, Daniel Engelsman, Rotem Dror, Itzik Klein
https://arxiv.org/abs/2507.21245 https://arxiv.org/pdf/2…

Diffusion Denoiser-Aided Gyrocompassing
An accurate initial heading angle is essential for efficient and safe navigation across diverse domains. Unlike magnetometers, gyroscopes can provide accurate heading reference independent of the magnetic disturbances in a process known as gyrocompassing. Yet, accurate and timely gyrocompassing, using low-cost gyroscopes, remains a significant challenge in scenarios where external navigation aids are unavailable. Such challenges are commonly addressed in real-world applications such as autonomo…

Gerücht: Einsteiger-MacBook vor großem Comeback
Neue Gerüchte aus Apples Zulieferkette: Zum Jahreswechsel soll ein neues Einsteiger-MacBook in die Serienproduktion gehen. Es verfüge über ein 13-Zoll-Display.
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🇺🇦 #NowPlaying on KEXP's #VarietyMix
George Michael:
🎵 I Want Your Sex, Parts 1 & 2
#GeorgeMichael
https://dirtyneedlz.bandcamp.com/track/i-want-your-sex-parts-1-and-2-dirty-needlz-jam-on-it-edit

Here's the thing about university museums: our art doesn't just sit in storage. During the semester, not a week goes by that we aren't pulling selections from the vaults for classes in a wide variety of disciplines.
https://georgiamuseum.org/gmoa_blog/mu

🇺🇦 Auf radioeins läuft...
George Michael:
🎵 Praying for time
#NowPlaying #GeorgeMichael
https://waynepage.bandcamp.com/track/praying-for-time-george-michael-cover
https://open.spotify.com/track/72LKSYwvDYp9acfM5TEgBK

From Law to Gherkin: A Human-Centred Quasi-Experiment on the Quality of LLM-Generated Behavioural Specifications from Food-Safety Regulations
Shabnam Hassani, Mehrdad Sabetzadeh, Daniel Amyot
https://arxiv.org/abs/2508.20744

From Law to Gherkin: A Human-Centred Quasi-Experiment on the Quality of LLM-Generated Behavioural Specifications from Food-Safety Regulations
Context: Laws and regulations increasingly affect software design and quality assurance, but legal texts are written in technology-neutral language. This creates challenges for engineers who must develop compliance artifacts such as requirements and acceptance criteria. Manual creation is labor-intensive, error-prone, and requires domain expertise. Advances in Generative AI (GenAI), especially Large Language Models (LLMs), offer a way to automate deriving such artifacts. Objective: We present…

Pohozaev identities for weak solutions of Grushin type p-sub-Laplacian equation via domain variations
Yawei Wei, Xiaodong Zhou
https://arxiv.org/abs/2507.19913 https://

Pohozaev identities for weak solutions of Grushin type p-sub-Laplacian equation via domain variations
In this paper, we study Pohozaev identities for weak solutions of degenerate elliptic equations involving Grushin type p-sub-Laplacian under only $C^1$-regularity assumption. By using domain variations, we obtain the local Pohozaev identities of translating type and scaling type. As an application, a global Pohozaev identity of scaling type in $\mathbb{R}^{N+l}$ is also derived.

Another case of death by alternative medicine. Anyone who recommends the Gerson method should be in the dock, IMO.
https://

My sister died after refusing cancer treatment. Now I want to get justice for her – and hold my mum to account
Gabriel Shemirani blames his mother’s conspiracy theories for the death of his twin Paloma at age 23. As the inquest nears a verdict, he talks to Marianna Spring about his campaign against health misinformation

$\mathfrak{G}$-Quotients of Grassmannians and Equations
Yi Hu
https://arxiv.org/abs/2507.21399 https://arxiv.org/pdf/2507.21399

$\mathfrak{G}$-Quotients of Grassmannians and Equations
Laurent Lafforgue's presentation of a Grassmannian $\Gr^{d, E}$ naturally comes equipped with the induced action of a subtorus $\TTb$ of $\PGL(E)$. By investigating the defining ideals of $\TTb$-orbit closures through general points of $\Gr^{d,E}$ and studying their degenerations, we obtain a morphsim $\fq: \FF^{d, E_\bcd} \to \HH^{d, E_{\bigcdot}}$ such that $\HH^{d, E_\bcd}$, termed the $\fG$-quotient of $\Gr^{d,E}$ by $\TTb$, is birational to $[\Gr^{d, E}/\TTb]$, and $\fq$, termed $\fG$-fami…