Tootfinder

Beautiful palettes based on art for R and python: #rstats #ggplot

GitHub - BlakeRMills/MetBrewer: Color palette package in R inspired by works at the Metropolitan Museum of Art in New York
Color palette package in R inspired by works at the Metropolitan Museum of Art in New York - BlakeRMills/MetBrewer

Howe duality for the dual pair $\left(\mathfrak{spo}(2n|1)\,, \mathfrak{osp}(2|2)\right)$
Roman Lavicka, Allan Merino
https://arxiv.org/abs/2506.04075 http…

Howe duality for the dual pair $\left(\mathfrak{spo}(2n|1)\,, \mathfrak{osp}(2|2)\right)$
The goal of our work is to study the decomposition of the joint action of $\mathfrak{g} = \mathfrak{spo}(2n|1)$ and $\mathfrak{g}' = \mathfrak{osp}(2|2)$ on the supersymmetric algebra S = S($\mathbb{C}^{2n|1} \otimes \mathbb{C}^{1|1}$). As proved by Merino and Salmasian, we have a one-to-one correspondence between irreducible representations of $\mathfrak{g}$ and $\mathfrak{g}'$ appearing as subrepresentations of S. In this paper, we obtained an explicit description of the h…

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#RecordReview
- Mussorgsky's Pictures at an Exhibition with Marina Frolova-Walker & Andrew McGregor
The best recording of Mussorgsky's Pictures at an Exhibition to buy, download or stream, plus the best of the week's new releases.
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Degree functions of graded families of ideals
Steven Dale Cutkosky, Jonathan Monta\~no
https://arxiv.org/abs/2506.05248 https://arxiv…

Degree functions of graded families of ideals
We express multiplicities and degree functions of graded families of $\mathfrak{m}_R$-primary ideals in an excellent normal local ring $(R,\mathfrak{m}_R)$ as limits of intersection products. Moreover, in dimension 2, we show more refined results for divisorial filtrations. Finally, also in dimension 2, we give an example of a non-Noetherian divisorial filtration $\{I_n\}_{n\geqslant 0}$ of $\mathfrak{m}_R$-primary ideals such that the union of all the sets of Rees valuations of all the $I_n$ i…

Studie: Apple kassiert nur bei 10 Prozent der App-Umsätze mit
Mit einer Studie tritt Apple dem Eindruck dagegen, dass beim iPhone überall mitverdient wird. Zugleich wird der Wirtschaftsfaktor App-Ökosystem aufgezeigt.

Donald Trump zeigte sich erfreut, als Friedrich Merz ihm eine Kopie der Geburtsurkunde seines deutschen Großvaters mitbrachte.
Ich vermute, Trump würde sich freuen, mit Godzilla verglichen zu werden, wenn der in hinreichend schmeichelhafte Worte verpackt wäre: "Er ist ein feuriger Redner und hinterlässt überall, wo er auftritt, einen tiefen Eindruck. Und überhaupt ist er der GRÖSSTE!"

Kann man eigentlich bei diesen Rollen zu Hause im Wohnzimmer live die #TourDeFrance Etappen mitfahren?
#TdF #tdf25

Maximizing the Promptness of Metaverse Systems using Edge Computing by Deep Reinforcement Learning
Tam Ninh Thi-Thanh, Trinh Van Chien, Hung Tran, Nguyen Hoai Son, Van Nhan Vo
https://arxiv.org/abs/2506.02657

Maximizing the Promptness of Metaverse Systems using Edge Computing by Deep Reinforcement Learning
Metaverse and Digital Twin (DT) have attracted much academic and industrial attraction to approach the future digital world. This paper introduces the advantages of deep reinforcement learning (DRL) in assisting Metaverse system-based Digital Twin. In this system, we assume that it includes several Metaverse User devices collecting data from the real world to transfer it into the virtual world, a Metaverse Virtual Access Point (MVAP) undertaking the processing of data, and an edge computing ser…

On the geometry of synthetic null hypersurfaces
Fabio Cavalletti, Davide Manini, Andrea Mondino
https://arxiv.org/abs/2506.04934 https://

On the geometry of synthetic null hypersurfaces
This paper develops a synthetic framework for the geometric and analytic study of null (lightlike) hypersurfaces in non-smooth spacetimes. Drawing from optimal transport and recent advances in Lorentzian geometry and causality theory, we define a synthetic null hypersurface as a triple $(H, G, \mathfrak{m})$: $H$ is a closed achronal set in a topological causal space, $G$ is a gauge function encoding affine parametrizations along null generators, and $\mathfrak{m}$ is a Radon measure serving as…

Bounded powers of edge ideals: The strong exchange property
Takayuki Hibi, Seyed Amin Seyed Fakhari
https://arxiv.org/abs/2506.03480 https://

Bounded powers of edge ideals: The strong exchange property
Let $S=K[x_1, \ldots,x_n]$ denote the polynomial ring in $n$ variables over a field $K$ and $I \subset S$ a monomial ideal. Given a vector $\mathfrak{c}\in\mathbb{Z}_{>0}^n$, the ideal $I_{\mathfrak{c}}$ is the ideal generated by those monomials belonging to $I$ whose exponent vectors are componentwise bounded above by $\mathfrak{c}$. Let $δ_{\mathfrak{c}}(I)$ be the largest integer $q$ for which $(I^q)_{\mathfrak{c}}\neq 0$. Let $I(G) \subset S$ denote the edge ideal of a finite graph $G$ on …