Tootfinder

Just published: A volume on “Professions as Religious Metaphors” in our @… Metaphor Papers series that I had the pleasure to edit. It’s a nice collection of short case studies on a wide arrange of professions that are used as metaphors of the divine. (My internal working title for it was “God’s jobs” 😉.)

from my link log —
Quantitative metaphors for sizes in biology.
https://press.asimov.com/articles/metaphors-size
saved 2025-11-05 https://

Metaphors for Biology: Sizes
A series of quantitative metaphors on the sizes and shapes of biomolecules and organisms.

En tout cas c’est pas une flèche…
From: @…
https://mediapart.social/@mediapart/115139557450680786

Bundesregierung versichert: Digitalfunk für Blaulichtbehörden ist verlässlich
Kritiker beklagen eine unzureichende Abdeckung beim BOS-Digitalfunk. Die Regierung sieht durch Masten auf Freigelände die meisten Bauwerke bereits mitversorgt.

Hyperplane arrangements and Vinberg's $\theta$-groups
Filippo Ambrosio, Andrea Santi
https://arxiv.org/abs/2509.04284 https://arxiv.org/pdf/2509.04284

Hyperplane arrangements and Vinberg's $θ$-groups
Let $\mathfrak{g} = \bigoplus_{i \in \mathbb{Z} /m \mathbb{Z}} \mathfrak{g}_i$ be a periodically graded semisimple complex Lie algebra. In this note, we give a uniform proof of the recent result by W. de Graaf and H. V. Lê that the hyperplane arrangement determined by the restrictions of the roots of $\mathfrak{g}$ to a Cartan subspace $\mathfrak{c} \subset \mathfrak{g}_1$ coincides with the hyperplane arrangement of (complex) reflections of the little Weyl group of $\mathfrak{g} = \bigoplus_{…

The Mackey-Gleason-Bunce-Wright problem for vector-valued measures on projections in a JBW$^*$-algebra
Gerardo M. Escolano, Antonio M. Peralta, Armando R. Villena
https://arxiv.org/abs/2509.03213

The Mackey-Gleason-Bunce-Wright problem for vector-valued measures on projections in a JBW$^*$-algebra
Let $\mathcal{P} (\mathfrak{J})$ denote the lattice of projections of a JBW$^*$-algebra $\mathfrak{J}$, and let $X$ be a Banach space. A bounded finitely additive $X$-valued measure on $\mathcal{P}(\mathfrak{J})$ is a mapping $μ: \mathcal{P}(\mathfrak{J}) \rightarrow X$ satisfying: $(a)$ $μ(p +q) = μ(p) + μ(q)$, whenever $p \circ q = 0$ in $\mathcal{P} (\mathfrak{J})$, $(b)$ $\sup \{ \| μ(p)\| \, : \, p \in \mathcal{P} (\mathfrak{J})\} < \infty$. In this paper we establish …

On Triple Quadratic Residue Symbols in Real Quadratic Fields
Atsuki Kuramoto
https://arxiv.org/abs/2509.00667 https://arxiv.org/pdf/2509.00667

On Triple Quadratic Residue Symbols in Real Quadratic Fields
We introduce triple quadratic residue symbols $[\mathfrak{p}_1, \mathfrak{p}_2, \mathfrak{p}_3]$ for certain finite primes $\mathfrak{p}_i$'s of a real quadratic field $k$ with trivial narrow class group. For this, we determine a presentation of the Galois group of the maximal pro-2 Galois extension over $k$ unramified outside $\mathfrak{p}_1, \mathfrak{p}_2, \mathfrak{p}_3$ and infinite primes, from which we derive mod 2 arithmetic triple Milnor invariants $μ_2(123)$ yielding the triple symbo…

Asymptotic Face Distributions in Random Reduced $\mathfrak s\mathfrak l_3$ Webs
David Kogan
https://arxiv.org/abs/2510.01372 https://arxiv.org/pdf/2510.013…

Asymptotic Face Distributions in Random Reduced $\mathfrak s\mathfrak l_3$ Webs
We study the distribution of interior faces in uniformly random reduced $\mathfrak s \mathfrak l_3$ webs. Using Tymoczko's bijection between $3\times n$ standard Young tableaux and reduced webs, this problem can be reformulated in terms of constrained lattice paths and associated $m$-diagrams. We develop a framework that expresses crossing probabilities in the $m$-diagram as solutions to discrete Dirichlet problems on the triangular lattice, which are evaluated through solutions to lattice Gree…

Tänään on Eläinten päivä. Siitä tuli mieleen tsekata, mitä ajattelin kuvin ja sanoin vuonna 2010 aiheesta:
Jos testaaja olisi eläin, mikä eläin se olisi?
https://www.mattivuori.net/julkaisuluettelo/liitteet/testaajan_elainanalogioita.pdf

On the characteristic form of $\mathfrak{g}$-valued zero-curvature representations
Jirina Jahnova
https://arxiv.org/abs/2508.01224 https://arxiv.org/pdf/25…

On the characteristic form of $\mathfrak{g}$-valued zero-curvature representations
We study $\mathfrak{g}$-valued zero-curvature representations (ZCRs) for partial differential equations in two independent variables from the perspective of their extension to the entire infinite jet space, focusing on their characteristic elements. Since conservation laws -- more precisely, conserved currents -- and their generating functions for a given equation are precisely the $\mathbb{R}$-valued ZCRs and their characteristic elements, a natural question arises: to what extent can results …