Tootfinder

Co-op will take Israeli products off shelves due to 'violations of international law & human rights abuses' - Canary
https://www.thecanary.co/trending/2025/06/24/co-op-israeli-products-2/

Co-op will take Israeli products off shelves due to 'violations of international law & human rights abuses'
Israeli products should have been removed from all supermarkets a long time ago. The Co-op is leading the way. Others must now follow.

Entropic additive energy and entropy inequalities for sums and products
Rupert Li, Lampros Gavalakis, Ioannis Kontoyiannis
https://arxiv.org/abs/2506.20813

Entropic additive energy and entropy inequalities for sums and products
Following a growing number of studies that, over the past 15 years, have established entropy inequalities via ideas and tools from additive combinatorics, in this work we obtain a number of new bounds for the differential entropy of sums, products, and sum-product combinations of continuous random variables. Partly motivated by recent work by Goh on the discrete entropic version of the notion of "additive energy", we introduce the additive energy of pairs of continuous random variables and prov…

This https://arxiv.org/abs/2310.14134 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Endomorphism algebras over commutative rings and torsion in self tensor products
Let $R$ be a commutative Noetherian local ring. We study tensor products involving a finitely generated $R$-module $M$ through the natural action of its endomorphism ring. In particular, we study torsion properties of self tensor products in the case where $\operatorname{End}_R(M)$ has an $R^*$-algebra structure, and prove that if $M$ is indecomposable, then $M \otimes_{\operatorname{End}_R(M)} M$ must always have torsion in this case under mild hypotheses.

The loss of the #SSMIS satellite dataset as warned by @… will presumably also affect the #Greenland today melt maps over on NSIDC - I think we have AMSR2 for those somewhere too, but not exactly sure where..
Perhaps I should write that blog post I was talking abotu earlier 🤔
https://osi-saf.eumetsat.int/community/stories/implications-end-ssmis-data-osi-saf-products

Morita equivalence classes for crossed product of rational rotation algebras
Sayan Chakraborty, Pratik Kumar Kundu
https://arxiv.org/abs/2505.19869 https:/…

Morita equivalence classes for crossed product of rational rotation algebras
We study the Morita equivalence classes of crossed products of rotation algebras $A_θ$, where $θ$ is a rational number, by finite and infinite cyclic subgroups of $\mathrm{SL}(2, \mathbb{Z})$. We show that for any such subgroup $F$, the crossed products $A_θ\rtimes F$ and $A_{θ'} \rtimes F$ are strongly Morita equivalent, where both $θ$ and $θ'$ are rational. Combined with previous results for irrational values of $θ$, our result provides a complete classification of the crossed products…

A generalization of Deodhar's defect statistic for Iwahori--Hecke algebras of type $BC$
Gavin Hobbs, Tommy Parisi, Mark Skandera, Jiayuan Wang
https://arxiv.org/abs/2506.20099

A generalization of Deodhar's defect statistic for Iwahori--Hecke algebras of type $BC$
Let $H$ be the Iwahori--Hecke algebra corresponding to any Coxeter group. Deodhar's defect statistic [Geom. Dedicata 36, (1990) pp.95--119] allows one to expand products of simple Kazhdan--Lusztig basis elements of $H$ in the natural basis of $H$. Clearwater and the third author gave a type-$A$ extension [Ann. Comb. 25, no. 3 (2021) pp.757--787] of this formula which combinatorially describes the natural expansion of products of Kazhdan--Lusztig basis elements indexed by smooth elements of the …

"‘It’s cheap but it’s not disposable’: why fast tech is a growing waste problem"
#Technology #EWaste

Resolvability in products and squares
Anton Lipin
https://arxiv.org/abs/2505.18704 https://arxiv.org/pdf/2505.18704

Resolvability in products and squares
Suppose $X$ and $Y$ are topological spaces, $|X| = Δ(X)$ and $|Y| = Δ(Y)$. We investigate resolvability of the product $X \times Y$. We prove that: I. If $|X| = |Y| = ω$ and $X,Y$ are Hausdorff, then $X \times Y$ is maximally resolvable; II. If $2^κ= κ^+$, $\{|X|, \mathrm{cf}|X|\} \cap \{κ, κ^+\} \ne \emptyset$ and $\mathrm{cf}|Y| = κ^+$, then the space $X \times Y$ is $κ^+$-resolvable. In particular, under GCH the s…

#VendrediPatoutaféLecture
"Nout", le dernier @… (dédicacé et présenté hier avec brio par l'autrice).
Détrônera-t-il "Agrapha" ? En attendant que je sache, premier aperçu sur le site de l'éditeur.

Homology and cohomology of crossed products by inverse monoid actions and Steinberg algebras
Mikhailo Dokuchaev, Mykola Khrypchenko, Juan Jacobo Sim\'on
https://arxiv.org/abs/2506.20321

Homology and cohomology of crossed products by inverse monoid actions and Steinberg algebras
Given a unital action $θ$ of an inverse monoid $S$ on an algebra $A$ over a filed $K$ we produce (co)homology spectral sequences which converge to the Hochschild (co)homology of the crossed product $A\rtimes_θS$ with values in a bimodule over $A\rtimes_θS$. The spectral sequences involve a new kind of (co)homology of the inverse monoid $S,$ which is based on $KS$-modules. The spectral sequences take especially nice form, when $(A\rtimes_θS)^e $ is flat as a left (homology case) or right (co…

Character.AI hires Karandeep Anand, former Meta VP of Business Products, as CEO, 10 months after Google hired away the startup's co-founder and CEO Noam Shazeer (Maxwell Zeff/TechCrunch)
https://techcrunch.com/2025/06/20/charact…

Character.AI taps Meta's former VP of business products as CEO | TechCrunch
Character.AI appointed Karandeep Anand to be the company's new CEO, helping it grow its platform and fight child safety concerns.

Dear Software companies:
Who wants AI in your products? The people who sell them.
Who doesn't want AI in your products? The people who use them.

Series representation in tensor products of Banach spaces
Jochen Wengenroth
https://arxiv.org/abs/2506.21344 https://arxiv.org/pdf/25…

Series representation in tensor products of Banach spaces
We show by a ridiculously simple argument that, for any norm on the tensor product of vector spaces, every element of the completion can be represented as a convergent series of elementary tensors.

Hab grade #RebelScum via https://9thlevel.com/products/rebel-scum-2nd-edition gekauft

@… Preorder of Superdrag - Regretfully Yours is happening!
https://www.lovevinylrecords.com/products/

Raise Awareness of the Environmental Impacts of Retail Food Products: A User-Centered Scenario-Based Approach
Lorenzo Porcelli, Francesco Palmieri
https://arxiv.org/abs/2506.19017

Raise Awareness of the Environmental Impacts of Retail Food Products: A User-Centered Scenario-Based Approach
The climate is warming rapidly, and atmospheric concentrations of greenhouse gases (GHGs) are at their highest levels ever recorded. As a result of these climate changes, caused mainly by human activities, disasters have increased fivefold over the past 50 years, causing death and economic loss. Civic engagement and awareness are essential to mitigate climate change and its impacts. In this work, we proposed a user interface that makes users aware of the environmental impact of the food product…

This https://arxiv.org/abs/2310.14134 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Endomorphism algebras over commutative rings and torsion in self tensor products
Let $R$ be a commutative Noetherian local ring. We study tensor products involving a finitely generated $R$-module $M$ through the natural action of its endomorphism ring. In particular, we study torsion properties of self tensor products in the case where $\operatorname{End}_R(M)$ has an $R^*$-algebra structure, and prove that if $M$ is indecomposable, then $M \otimes_{\operatorname{End}_R(M)} M$ must always have torsion in this case under mild hypotheses.

Approximating the order 2 quantum Wasserstein distance using the moment-SOS hierarchy
Saroj Prasad Chhatoi, Victor Magron
https://arxiv.org/abs/2506.20006 …

Approximating the order 2 quantum Wasserstein distance using the moment-SOS hierarchy
Optimal transport theory has recently been extended to quantum settings, where the density matrices generalize the probability measures. In this paper, we study the computational aspects of the order 2 quantum Wasserstein distance, formulating it as an infinite dimensional linear program in the space of positive Borel measures supported on products of two unit spheres. This formulation is recognized as an instance of the Generalized Moment Problem, which enables us to use the moment-sums of squ…

MC for Agriculture: A Framework for Nature-inspired Sustainable Pest Control
Fardad Vakilipoor, Nora Hirschmann, Julian Schladt, Stefan Schwab, Annette Reineke, Robert Schober, Kathrin Castiglione, Maximilian Schaefer
https://arxiv.org/abs/2506.20637

MC for Agriculture: A Framework for Nature-inspired Sustainable Pest Control
In agriculture, molecular communication (MC) is envisioned as a framework to address critical challenges such as smart pest control. While conventional approaches mostly rely on synthetic plant protection products, posing high risks for the environment, harnessing plant signaling processes can lead to innovative approaches for nature-inspired sustainable pest control. In this paper, we investigate an approach for sustainable pest control and reveal how the MC paradigm can be employed for analys…

btw iZotope Tonal Balance Control 2 is free to claim for a couple days https://www.izotope.com/products/tonal-balance-control-2.html

Damn; I quite liked the ammonia story;
https://www.hydrogeninsight.com/production/air-products-shelves-2bn-plan-to-import-green-ammonia-to-uk-and-crack-it-back-to-hydrogen/2-1-1833888

Air Products shelves £2bn plan to import green ammonia to UK and crack it back to hydrogen
The industrial gases firm had received planning permission for the Immingham terminal earlier this year, but blames lack of policy support for its decision

Analysis: Private-Label Products Are Driving Plant-Based Retail Sales Growth in Four European Countries https://vegconomist.com/market-and-trends/private-label-products-driving-plant-based-retail-sales-growth-four-eu…

Analysis: Private-Label Products Are Driving Plant-Based Retail Sales Growth in Four European Countries - vegconomist - the vegan business magazine
GFI Europe has analysed previously unpublished Circana data, finding that cheaper private label products led to a growth in plant-based retail sales volumes

Novel coincidence detection technique for precision measurement of neutron-capture-induced nuclear recoils
A J Biffl, Gerardo D Gonzalez, A N Villano, N Mirabolfathi
https://arxiv.org/abs/2506.20022

Novel coincidence detection technique for precision measurement of neutron-capture-induced nuclear recoils
Usually, detailed information about particle motions, energies, and interactions in the crystal lattice cannot be directly measured. Neutron capture (n,γ) can produce detectable, precise-energy nuclear recoils for detector calibration and solid-state physics studies. This paper proposes a first-of-its-kind experiment to measure the twin products of neutron capture - the postcapture deexcitation gamma and postcapture nuclear recoil. Simulations show that with a 1 mCi californium neutron source,…

Linearithmic Clean-up for Vector-Symbolic Key-Value Memory with Kroneker Rotation Products
Ruipeng Liu, Qinru Qiu, Simon Khan, Garrett E. Katz
https://arxiv.org/abs/2506.15793

Linearithmic Clean-up for Vector-Symbolic Key-Value Memory with Kroneker Rotation Products
A computational bottleneck in current Vector-Symbolic Architectures (VSAs) is the ``clean-up'' step, which decodes the noisy vectors retrieved from the architecture. Clean-up typically compares noisy vectors against a ``codebook'' of prototype vectors, incurring computational complexity that is quadratic or similar. We present a new codebook representation that supports efficient clean-up, based on Kroneker products of rotation-like matrices. The resulting clean-up time complexity is linearithm…

product_space: Atlas of Economic Complexity export network
Two networks of economic products, where a pair of products are connected if they are exported at similar rates by the same countries. The data are a projection from a bipartite network of nations and the products they export. Edges weights represent a similarity score (called "proximity"). Data based on UN Comtrade worldwide trade patterns. SITC network based on the Standard International Trade Classification and HS …

Will mal kund tun, dass ich jetzt stolzer Eigentümer eines Lilygo T-Deck Plus bin.
#Meshtastic

T-Deck Plus Meshtastic

While searching for an AWS alternative, I just stumbled upon the website #EuropeanAlternatives https://european-alternatives.eu/ which lists digital services and products from the EU. …

Instant Pot Brands plans to offer a “45/47 Collaboration” featuring various products branded with those numbers and Trump’s signature “Make America Great Again” tagline. 🤮
https://bsky.app/profile/semafor.com/post/3lrq3syd56z2a

Benchmark-Neutral Risk-Minimization for insurance products and nonreplicable claims
Michael Schmutz, Eckhard Platen, Thorsten Schmidt
https://arxiv.org/abs/2506.19494

Benchmark-Neutral Risk-Minimization for insurance products and nonreplicable claims
In this paper we study the pricing and hedging of nonreplicable contingent claims, such as long-term insurance contracts like variable annuities. Our approach is based on the benchmark-neutral pricing framework of Platen (2024), which differs from the classical benchmark approach by using the stock growth optimal portfolio as the numéraire. In typical settings, this choice leads to an equivalent martingale measure, the benchmark-neutral measure. The resulting prices can be significantly lower …

Home-goods companies prepare new Trump-linked products (Shelby Talcott/Semafor)
https://www.semafor.com/article/06/16/2025/home-goods-companies-prepare-new-trump-linked-products
http://www.memeorandum.com/250616/p164#a250616p164

Characterizing quantum resourcefulness via group-Fourier decompositions
Pablo Bermejo, Paolo Braccia, Antonio Anna Mele, Nahuel L. Diaz, Andrew E. Deneris, Martin Larocca, M. Cerezo
https://arxiv.org/abs/2506.19696

Characterizing quantum resourcefulness via group-Fourier decompositions
In this work we present a general framework for studying the resourcefulness in pure states for quantum resource theories (QRTs) whose free operations arise from the unitary representation of a group. We argue that the group Fourier decompositions (GFDs) of a state, i.e., its projection onto the irreducible representations (irreps) of the Hilbert space, operator space, and tensor products thereof, constitute fingerprints of resourcefulness and complexity. By focusing on the norm of the irrep pr…

Regularity and separation for Sierpi\'nski products of graphs
Riccardo W. Maffucci
https://arxiv.org/abs/2506.16864 https://arxiv…

Regularity and separation for Sierpiński products of graphs
The Sierpiński product of graphs generalises the vast and relevant class of Sierpiński-type graphs, and is also related to the classic lexicographic product of graphs. Our first main results are necessary and sufficient conditions for the higher connectivity of Sierpiński products. Among other applications, we characterise the polyhedral ($3$-connected and planar) Sierpiński products of polyhedra. Our other main result is the complete classification of the regular polyhedral Sierpiński pro…

Getting #AI to write good #SQL: Text-to-SQL techniques explained
https://cloud.google.com/blo…

$p$-local decompositions of looped polyhedral products
Lewis Stanton, Fedor Vylegzhanin
https://arxiv.org/abs/2506.15573 https://arxi…

$p$-local decompositions of looped polyhedral products
We show that localised away from a finite set of primes, the loop space of a moment-angle complex is homotopy equivalent to a product of loops on spheres. This verifies a conjecture of Anick for such spaces. We also develop a method to reduce the study of the loops of more general polyhedral products to that of the loops on a moment-angle complex. As a consequence, we give $p$-local loop space decompositions of a wide family of polyhedral products, quasitoric manifolds and simply connected tori…

I got talked into trying Meat Church “Holy Voodoo” seasoning today at Blackhawk Hardware by an employee and a customer. Both raved about it. I need a jalapeño enhanced rub to use with my smoked and sautéed veggies.
https://www.meatchurch.com/products/holy-voodoo-seasoning

Holy Voodoo Seasoning

Abbott vetoes Texas bill to ban THC products | AP News
https://apnews.com/article/thc-ban-hemp-texas-marijuana-abbott-9379bb3ab75b7278e9a3ec56fad791a9

NEAR$^2$: A Nested Embedding Approach to Efficient Product Retrieval and Ranking
Shenbin Qian, Diptesh Kanojia, Samarth Agrawal, Hadeel Saadany, Swapnil Bhosale, Constantin Orasan, Zhe Wu
https://arxiv.org/abs/2506.19743

NEAR$^2$: A Nested Embedding Approach to Efficient Product Retrieval and Ranking
E-commerce information retrieval (IR) systems struggle to simultaneously achieve high accuracy in interpreting complex user queries and maintain efficient processing of vast product catalogs. The dual challenge lies in precisely matching user intent with relevant products while managing the computational demands of real-time search across massive inventories. In this paper, we propose a Nested Embedding Approach to product Retrieval and Ranking, called NEAR$^2$, which can achieve up to $12$ tim…

AI bots that scrape the Internet for training data are stressing out the servers of galleries, libraries, archives, and museums. In some cases they bring #GLAM collections offline.
https://www.

Are AI Bots Knocking Cultural Heritage Offline?

Citrix warns of exploitation of Netscaler devices through new bugs https://therecord.media/citrix-warns-netscaler-exploitation-bug

Here we go again ...
https://www.bbc.com/news/articles/cgr5xrygzk5o

Trump threatens tariffs on Apple iPhones and EU products
EU says threats should not guide trade talks as Trump says he wants tariffs of 50% on European goods as soon as 1 June.

Infinite lexicographic products of positional objectives
Antonio Casares, Pierre Ohlmann, Micha{\l} Skrzypczak, Igor Walukiewicz
https://arxiv.org/abs/2506.14544

Infinite lexicographic products of positional objectives
This paper contributes to the study of positional determinacy of infinite duration games played on potentially infinite graphs. Recently, [Ohlmann, TheoretiCS 2023] established that positionality of prefix-independent objectives is preserved by finite lexicographic products. We propose two different notions of infinite lexicographic products indexed by arbitrary ordinals, and extend Ohlmann's result by proving that they also preserve positionality. In the context of one-player positionality, th…

from my link log —
Fixing the traffic jam in the science of technology safety.
https://citizensandtech.org/2025/04/fixing-science-tech-safety/
saved 2025-05-15

Fixing the Traffic Jam in the Science of Technology Safety
Why does it take so long for science to spot harmful technology products and support the search for safer alternatives? And how can we speed it up?

Google makes Gemini 2.5 Flash and Pro generally available and introduces 2.5 Flash-Lite, which it says is its most cost-efficient and fastest 2.5 model yet (Tulsee Doshi/The Keyword)
https://blog.google/products/gemini/gemini-2-5-model-family-expands/…

We’re expanding our Gemini 2.5 family of models
Gemini 2.5 Flash and Pro are now generally available, and we’re introducing 2.5 Flash-Lite, our most cost-efficient and fastest 2.5 model yet.

Urban Rhythms II 🎵
城市节奏 II 🎵
📷 Pentax MX
🎞️Lucky SHD 400
buy me ☕️ ?/请我喝杯☕️？
#filmphotography

Yiding Cao Geld mit PayPal.Me senden
Folgen Sie dem Link PayPal.Me/dingsterdingster und geben Sie den Betrag ein. Es ist bequem und sicher. Sie haben noch kein PayPal-Konto? Kein Problem.

Tech companies think that, if they make products *look* futuristic, you will think that they are actually innovating. In reality what we get is not "Star Trek communicators inspired cell phones" but "every experience with your computer is going to be like begging HAL to open the pod bay doors" except less evil and more frustrating.

Imitating the future, breaking the present
Tech companies are only pretending to innovate, through copying futuristic aesthetics from science fiction without understanding their purpose.

Higher rank Bell--Rogalski algebras
Jason Gaddis, Daniele Rosso, Robert Won
https://arxiv.org/abs/2506.20393 https://arxiv.org/pdf/25…

Higher rank Bell--Rogalski algebras
We generalize a construction of Bell and Rogalski to realize new examples of $\mathbb{Z}^n$-graded simple rings. This construction also generalizes TGWAs of type $(A_1)^n$. In addition to considering basic properties of these algebras, we provide a classification of weight modules in the setting of torsion-free orbits, study their (twisted) tensor products, and provide a simplicity criterion.

Rates of convergence in the Free Multiplicative Central Limit Theorem
Marwa Banna, Nicolas Gilliers, Pei-Lun Tseng
https://arxiv.org/abs/2505.18348 https:/…

Rates of convergence in the Free Multiplicative Central Limit Theorem
We provide the first quantitative estimates for the rate of convergence in the free multiplicative central limit theorem (CLT), in terms of the Kolmogorov and $r$-Wasserstein distances for $r \geq 1$. While the free additive CLT has been thoroughly studied, including convergence rates, the multiplicative setting remained open in this regard. We consider products of the form $$ π_n^{g,n^{-1/2}x} := g\left(\frac{x_1}{\sqrt{n}}\right) \cdots g\left(\frac{x_n}{\sqrt{n}}\right),$$ where $x_1, \dots…

Local Statistics of Singular Values for Products of Truncated Unitary Matrices
Yandong Gu, Dang-Zheng Liu
https://arxiv.org/abs/2506.14193 https://

Local Statistics of Singular Values for Products of Truncated Unitary Matrices
This paper investigates local spectral statistics of singular values for many products of independent large rectangular matrices, sampled from the ensemble of truncated unitary matrices with the invariant Haar measure. Our main contribution establishes a universal three-phase transition in these statistics, demonstrating an interpolation beween GUE statistics and classical Gaussian behavior. While such transition was previously known for products of complex Gaussian matrices\cite{ABK19}\cite{LW…

On graph automorphisms related to Snort
Rylo Ashmore, Beth Ann Austin, Alfie M. Davies, Danny Dyer, William Kellough
https://arxiv.org/abs/2506.20669 https…

On graph automorphisms related to Snort
We study the outcomes of various positions of the game Snort. When played on graphs admitting an automorphism of order two that maps vertices outside of their closed neighbourhoods (called opposable graphs), the second player has a winning strategy. We give a necessary and sufficient condition for a graph to be opposable, and prove that the property of being opposable is preserved by several graph products. We show examples that a graph being second-player win does not imply that the graph is o…

Fujita-Zariski decompositions on some product threefolds
Mihai Fulger, Victor Lozovanu
https://arxiv.org/abs/2506.17956 https://arxiv…

Fujita-Zariski decompositions on some product threefolds
We use explicit blow-ups and computations of birational Fujita-Zariski decompositions to determine generic infinitesimal Newton-Okounkov bodies for box-product ample polarizations on three classes of spaces: product between a curve and the projective plane, products of three curves, and the product between a curve and a Jacobian surface. In particular we compute the volume of many big but non-nef divisors on blow-ups of these threefolds.

The Word Problem for Products of Symmetric Groups
Hans U. Simon
https://arxiv.org/abs/2506.13655 https://arxiv.org/pdf/2506.13655

The Word Problem for Products of Symmetric Groups
The word problem for products of symmetric groups (WPPSG) is a well-known NP-complete problem. An input instance of this problem consists of ``specification sets'' $X_1,\ldots,X_m \seq \{1,\ldots,n\}$ and a permutation $τ$ on $\{1,\ldots,n\}$. The sets $X_1,\ldots,X_m$ specify a subset of the symmetric group $\cS_n$ and the question is whether the given permutation $τ$ is a member of this subset. We discuss three subproblems of WPPSG and show that they can be solved efficiently. The subproble…

So, it's not possible to turn off the AI Overview in Google on a Workspace for Education account at the admin level, so the only way to prevent students from access to AI products is to block Google entirely.
But Google says AI Overviews are part of Google Search...
Looking for a search to leave unblocked for students.
(Not DuckDuckGo, they have AI chat right on their home domain now.)
#education

Ist verkauft. Nicht mehr boosten, vielen Dank!
Verkaufe einen Raspberry Pi 400 (das "Tastaturmodell") ohne weiteres Zubehör, selten gebraucht, keine Gebrauchsspuren.
Zum Betrieb braucht man ein halbwegs starkes Netzteil mit USB-C-Anschlusskabel, eine microSD-Karte, um sich das Betriebssystem der Wahl darauf zu installieren, und eine Maus.
30,- EUR inkl. Versand in Deutschland.
Das ist dieses Modell:

OK coffee snobs, let’s say we were convinced that it’s worth it to pay $1800-$2500 for a Miele coffee machine. At that price range, is that a good one? what you recommend (it was like this one): https://www.miele.ca/en/Shop/products/deta

"Sportswear giant #Adidas on Tuesday said that U.S. President Donald #Trump's #tariffs would result in cost hikes for all its U.S. products. The German company added that it was unable to confirm …

Adidas warns it will raise prices on all U.S. products due to tariffs
"Higher tariffs will eventually cause higher costs for all our products for the US market," Adidas said in a statement.

Unhealthy food makers target youth with pervasive ads that fuel long-term health risks, decades of research shows https://usrtk.org/healthwire/unhealthy-food-makers-target-youth-with-pervasive-ads-long-term-health-risks/

Unhealthy food makers target youth with pervasive ads that fuel long-term health risks, decades of research shows
The more unhealthy food ads young people see, the more of those products they consume—and the higher the risk of disease, a new study shows.

Taylor-mode automatic differentiation for constructing molecular rovibrational Hamiltonian operators
Andrey Yachmenev, Emil Vogt, \'Alvaro Fern\'andez Corral, Yahya Saleh
https://arxiv.org/abs/2506.20129

Taylor-mode automatic differentiation for constructing molecular rovibrational Hamiltonian operators
We present an automated framework for constructing Taylor series expansions of rovibrational kinetic and potential energy operators for arbitrary molecules, internal coordinate systems, and molecular frame embedding conditions. Expressing operators in a sum-of-products form allows for computationally efficient evaluations of matrix elements in product basis sets. Our approach uses automatic differentiation tools from the Python machine learning ecosystem, particularly the JAX library, to effici…

Topological slow entropy, sequence entropy, and generalized $[T,T^{-1}]$ systems
Nicanor Carrasco-Vargas
https://arxiv.org/abs/2506.17932 https://

Topological slow entropy, sequence entropy, and generalized $[T,T^{-1}]$ systems
We consider topological dynamical systems given by skew products $S\rtimes_τ T$, where $S\colon Y\to Y$ is a subshift, $τ\colon Y\to\mathbb{Z}$ is a continuous cocycle, and $T$ is an arbitrary invertible topological system. For fixed $(Y,S,τ)$ it may happen that all systems of the form $S\rtimes_τT$ have the same topological entropy, and thus it arises the problem of distinguishing two such systems. We show that if $T_1$ and $T_2$ are invertible topological dynamical systems with differen…

最近はアイスコーヒー用にスティックタイプのインスタントコーヒーばかり。この商品に限らずだけど。これだと、300ml のボトルにスティックを 2本使う。個人的にはこのサイズ感がお気に入り。
https://nestle.jp/home/products/type/drink/soluble-coffee/regular/012614020

Shield AI has emerged as a lead contender in the increasingly crowded race against competitors like Anduril and AeroVironment
to outfit the U.S. military with killer drones.
The $5 billion-valued startup, founded in 2015 by brothers Ryan and Brandon Tseng,
sells a suite of hardware and products, including autonomous piloting software that has been used to fly fighter jets.
In March, it raised $240 million in a funding round led by Korean conglomerate Hanwha and Amer…

How A Grisly Injury Threw $5 Billion Drone Startup Shield AI Off Course
Shield AI executives overlooked its V-BAT drone’s safety hazards. With sales falling short and the CEO stepping down, the company is trying to win back military customers.

Companies really do need to not copy Vegan brand packaging for their non Vegan brand products 😠

Semi-discrete heat equations with variable coefficients and the parametrix method
Ulrik S. Fjordholm, Kenneth H. Karlsen, Peter H. C. Pang
https://arxiv.org/abs/2506.18649

Semi-discrete heat equations with variable coefficients and the parametrix method
We develop a parametrix approach for constructing solutions and establishing grid-size independent estimates for semi-discrete heat equations with variable coefficients. While the classical continuous setting benefits from Gaussian estimates of the constant coefficient heat kernel, such estimates are not available in the semi-discrete context. To address this complication, we derive estimates involving products of heavy-tailed Lorentz (also known as Cauchy) probability densities. These Lorentzi…

#ImprecRecords has a new #WeirdAl t-shirt with an #Accordion and the cryptic reference "Satan eats Cheese-Whiz" (Taken from a back-masked message on Al's song "Nature Trail To…

Satan Eats Cheese Whiz - T Shirt

fao_trade: FAO Multiplex Trade Network
Multiplex network representing trade relationships between countries from the Food and Agricultural Organization of the United Nations. Countries are nodes and edge types represent import/export of varying products. Data hosted by Manlio De Domenico.
This network has 214 nodes and 318346 edges.
Tags: Economic, Trade, Weighted, Multilayer

Normal and Dynamical Typicality in a Random Matrix Model
L\'aszl\'o Erd\H{o}s, Joscha Henheik, Cornelia Vogel
https://arxiv.org/abs/2506.17177 http…

Normal and Dynamical Typicality in a Random Matrix Model
We prove normal typicality and dynamical typicality for a (centered) random block-band matrix model with block-dependent variances. A key feature of our model is that we achieve intermediate equilibration times, an aspect that has not been proven rigorously in any model before. Our proof builds on recently established concentration estimates for products of resolvents of Wigner type random matrices [arXiv:2403.10359] and an intricate analysis of the deterministic approximation.

Partial Group Symmetry in Figures I: Semidirect Products and the Six Coins
Takahiro Hayashi
https://arxiv.org/abs/2506.14304 https://…

Partial Group Symmetry in Figures I: Semidirect Products and the Six Coins
In this paper, we construct a partial group \(\mathcal{P}(F)\) that represents the "partial symmetry" inherent in a subset \(F\) of \(d\)-dimensional Euclidean space. In cases where \(F\) is not connected, \(\mathcal{P}(F)\) captures more detailed information than the conventional symmetry group \(G(F)\). To establish a stronger connection between \(\mathcal{P}(F)\) and \(F\), we introduce a novel definition of partial group action. Furthermore, to characterize \(\mathcal{P}(F)\) in specific ca…

I just got a request from the US FAA to sign an addendum on a purchase of one of our products.
This seems weird and redundant - kinda like something triggered by the DOG-E gang. But I have not yet found any actual explanation.
"Nothing contained in the Agreement will obligate the United States Government to indemnify any indemnified
person(s) for damages, costs, fees, or any other loss or liability that would create an Anti-Deficiency Act
violation (31 U.S.C. §134…

Fiserv aims to launch its own stablecoin by 2025's end, and partners with PayPal and Circle to develop new products for financial institutions and merchants (Emily Mason/Bloomberg)
https://www.bloomberg.com/news/articles/20

Ars Technica author Ashley Belanger presents both consumer rights advocacy group Public Citizen's position against the use of AI in toys, and toy maker Mattel's and Open AI's. Public Citizen's tone is baselessly alarmist, given that "Both companies [have] emphasized that safety, privacy, and age-appropriateness would be front of mind in designing Mattel's AI products."
"Toy-maker Mattel accused of planning 'reckless' AI social experiment on k…

My favorite actor from DS9, Armin Shimerman, aka "Quark". So much better than waiting in line at the cons. 😜
✅ Armin Shimerman - Star Trek - Custom Signed Art Prints | FanFair
https://fanfairsignatures.com/products/armin-shimerman-custom-art-prints

Armin Shimerman

Wow!
https://theyetee.com/products/bluturno-devorando-su-capitan

Bluturno devorando su Capitan

Wird super.
Mattel and OpenAI Announce Strategic Collaboration
https://corporate.mattel.com/news/mattel-and-openai-announce-strategic-collaboration

'Tariff engineering' is making a comeback as businesses employ creative ways to skirt higher duties (Anniek Bao/CNBC)
https://www.cnbc.com/2025/06/18/businesses-tweak-products-to-qualify-for-lowter-tariffed-categories-.html
http://www.memeorandum.com/250618/p34#a250618p34

Coordinate recognition: General theory, Groups, and other surprises
I. Farah, K. Gannon, P. Touchard
https://arxiv.org/abs/2506.13673 https://

Coordinate recognition: General theory, Groups, and other surprises
A class of structures recognizes coordinates if any reduced product of structures from said class witnesses a certain kind of rigidity phenomena. We provide several equivalent characterizations of this property. This property has (at least) two remarkable consequences, one set-theoretic and one model-theoretic, for reduced products of structures of the said class. First, under appropriate set-theoretic assumptions every isomorphism between such reduced products associated with the Fr\' echet id…

Oh WhatsApp now brings Ads to the stories... Too bad that still so many people in my social environment use it
https://www.theverge.com/news/687519/whatsapp-launch-advertising-status-updates

WhatsApp is officially getting ads
WhatsApp is getting ads, as Meta has announced that it will now allow businesses to promote their products and services through its status feature.

Urban Rhythms II 🎵
城市节奏 II 🎵
📷 Pentax MX
🎞️Lucky SHD 400
buy me ☕️ ?/请我喝杯☕️？
#filmphotography

Yiding Cao Geld mit PayPal.Me senden
Folgen Sie dem Link PayPal.Me/dingsterdingster und geben Sie den Betrag ein. Es ist bequem und sicher. Sie haben noch kein PayPal-Konto? Kein Problem.

"I Cannot Write This Because It Violates Our Content Policy": Understanding Content Moderation Policies and User Experiences in Generative AI Products
Lan Gao, Oscar Chen, Rachel Lee, Nick Feamster, Chenhao Tan, Marshini Chetty
https://arxiv.org/abs/2506.14018

"I Cannot Write This Because It Violates Our Content Policy": Understanding Content Moderation Policies and User Experiences in Generative AI Products
While recent research has focused on developing safeguards for generative AI (GAI) model-level content safety, little is known about how content moderation to prevent malicious content performs for end-users in real-world GAI products. To bridge this gap, we investigated content moderation policies and their enforcement in GAI online tools -- consumer-facing web-based GAI applications. We first analyzed content moderation policies of 14 GAI online tools. While these policies are comprehensive i…

On Fico's Lemmata and the Homotopy Type of Certain Gyrations
Sebastian Chenery
https://arxiv.org/abs/2506.18893 https://arxiv.org…

On Fico's Lemmata and the Homotopy Type of Certain Gyrations
We undertake to determine the homotopy type of gyrations of sphere products and of connected sums, thereby generalising results known in earlier literature as ''Fico's Lemmata'' which underpin gyrations in their original formulation from geometric topology. We provide applications arising from recasting these results into the modern homotopy theoretic setting.

The first true garden products of the season - rhubarb jam and syrup! The second is the perfect ingredient for homemade soda/cocktails on a hot summer day. In a few years, when the plants are a bit older, we'll get much more.
#gardening #cooking

Uhhhhhh!
27,95 11 € tracked shipping.
https://stanleykubrickstore.com/products/2001-a-space-odyssey-the-board-game

2001: A Space Odyssey | The Board Game (Pre-order)

Now there's a niche market: products for people with second, detachable heads? 🤪

Replaced article(s) found for math.AG. https://arxiv.org/list/math.AG/new
[2/2]:
- Curvature, macroscopic dimensions, and symmetric products of surfaces
Luca F. Di Cerbo, Alexander Dranishnikov, Ekansh Jauhari

The magic of tensor products of ultrafilters
Mauro Di Nasso
https://arxiv.org/abs/2506.14344 https://arxiv.org/pdf/2506.14344

The magic of tensor products of ultrafilters
Tensor products of ultrafilters have special combinatorial features closely related to Ramsey's Theorem, making them useful tools in applications. Here we first review their fundamental properties and isolate some new ones, including a characterisation of the limit superior and inferior of sequences as limits along tensor products, and an application to the Banach asymptotic density. We then prove a general result on the combinatorial structure of sets belonging to tensor products and, as a res…

It was unavoidable that this week I'd end up writing about Apple's latest blunder. But in the context of Figma's Sites bullshit and Shopify recasting designers as "artists" it's even worse than one OS making a stupid decision.
The mission of #UXdesign is being changed: orienting away from making useful products that work for everyone, and towards branding.
…

Apple's Liquid Glass is a grim portent for UX
Industry leaders like Apple and Shopify are redefining design excellence from making products usable to solely luxury branding.

product_space: Atlas of Economic Complexity export network
Two networks of economic products, where a pair of products are connected if they are exported at similar rates by the same countries. The data are a projection from a bipartite network of nations and the products they export. Edges weights represent a similarity score (called "proximity"). Data based on UN Comtrade worldwide trade patterns. SITC network based on the Standard International Trade Classification and HS …

Finitary conditions for graph products of monoids
Dandan Yang, Victoria Gould
https://arxiv.org/abs/2506.10603 https://arxiv.org/pdf/…

Finitary conditions for graph products of monoids
Graph products of monoids provide a common framework for free products and direct products. Trace monoids are graph products of finitely generated free monoids. We investigate the interaction of certain finitary conditions with graph products. Specifically, we examine the conditions of being weakly left noetherian (that is, every left ideal is finitely generated) and weakly left coherent (that is, every finitely generated left ideal has a finite presentation) and the related conditions of the a…

Weird $\mathbb R$-Factorizable Groups
Evgenii Reznichenko, Ol'ga Sipacheva
https://arxiv.org/abs/2506.18733 https://arxiv.org/pdf…

Weird $\mathbb R$-Factorizable Groups
The problem of the existence of non-pseudo-$\aleph_1$-compact $\mathbb R$-factorizable groups is studied. It is proved that any such group is submetrizable and has weight larger than $ω_1$. Closely related results concerning the $\mathbb R$-factorizability of products of topological groups and spaces are also obtained (a product $X\times Y$ of topological spaces is said to be $\mathbb R$-factorizable if any continuous function $X\times Y\to \mathbb R$ factors through a product of maps from $X$…

Triple Massey products for higher genus curves
Frauke M. Bleher, Ted Chinburg, Jean Gillibert
https://arxiv.org/abs/2506.09837 https://

Triple Massey products for higher genus curves
We study the vanishing of triple Massey products for absolutely irreducible smooth projective curves over a number field. For each genus $g > 1$ and each prime $\ell > 3$, we construct examples of hyperelliptic curves of genus $g$ for which there are non-empty triple Massey products with coefficients in $\mathbb{Z}/\ell$ that do not contain $0$.

I don't ever wanna hear you say iPhones are too expensive again - not when this costs more than my house
https://vertu.com/products/signature-cobra-limited-edition-keypad-phone

product_space: Atlas of Economic Complexity export network
Two networks of economic products, where a pair of products are connected if they are exported at similar rates by the same countries. The data are a projection from a bipartite network of nations and the products they export. Edges weights represent a similarity score (called "proximity"). Data based on UN Comtrade worldwide trade patterns. SITC network based on the Standard International Trade Classification and HS …

A former employee says fewer than 10,000 people use Ola Krutrim's LLM chatbot, which supports 10 Indian languages, and that over 60% of them are random testers (Swathi Moorthy/The Economic Times)
https://

Krutrim finds few takers for its LLMs and cloud products
Ola founder Aggarwal first announced Krutrim in December 2023, launching an LLM that could support 10 Indian languages, starting with Krutrim chatbot in February 2024, and cloud offering shortly after. Two founders told ET recently that repeated sign-in attempts were blocked by a persistent “logged out of session” error, making sign-up via mobile or Gmail difficult.

The pink tax is the extra price women pay for products that are also marketed to men
— think shampoo or clothing.
Back in 2015, the New York City Department of Consumer Affairs found that across five industries, women were paying more for everyday products than men:
7 percent more for toys and accessories
8 percent more for adult clothing
13 percent more for personal care products
Although recent evidence suggests that the pink tax doesn’t apply to every pro…

How the “pink tariff” hurts women
Trump's trade war makes being a woman, and especially a Black woman, much more expensive.

Glad to see this...
LibreQoS Bufferbloat Test
Some of my company (IWL) products can create bufferbloat situations, but testing how the end-point protocols react is a separate concern.
I've written in the past about the inadequacy of "speed test" tool and how things like "iperf" can easily be (and often are) mis-interpreted. (I'll add some links).

product_space: Atlas of Economic Complexity export network
Two networks of economic products, where a pair of products are connected if they are exported at similar rates by the same countries. The data are a projection from a bipartite network of nations and the products they export. Edges weights represent a similarity score (called "proximity"). Data based on UN Comtrade worldwide trade patterns. SITC network based on the Standard International Trade Classification and HS …

Cisco unveils updated networking and security products, including a new generation of switches with 10x performance, to boost AI networks and cut bottlenecks (Dina Bass/Bloomberg)
https://www.bloomberg.com/news/articles/20

The European Commission accuses Chinese marketplace AliExpress of failing to tackle illegal products on its platform, in preliminary findings under the DSA (Gian Volpicelli/Bloomberg)
https://www.bloomberg.com/news/articles/20

Lexicographic products and lexicographic powers of graphs -- a walk matrix approach
Domingos M. Cardoso, Paula Carvalho, Helena Gomes, Sofia J. Pinheiro, Paula Rama
https://arxiv.org/abs/2506.12168

Lexicographic products and lexicographic powers of graphs -- a walk matrix approach
The characteristic polynomial and the spectrum of the lexicographic product of graphs $H[G]$, a specific instance of the generalized composition (also called $H$-join), are explicitly determined for arbitrary graphs $H$ and $G$, in terms of the eigenvalues of $G$ and an $H[G]$ associated matrix $\widetilde{\bf W}$, which relates $H$ with $G$. This study also establishes conditions under which a main eigenvalue of $G$ is a main or non-main eigenvalue of the matrix $\widetilde{\bf W}$, when the n…

Salesforce says it will increase prices on many products in August, including Slack; major product lines will see a 6% increase on average (Brody Ford/Bloomberg)
https://www.bloomberg.com/news/articles/2025-06-17/salesf…

Anysphere debuts a $200/month Ultra plan for Cursor with 20x more usage on AI models from OpenAI, Anthropic, Google DeepMind, and xAI vs. its $20/month Pro plan (Maxwell Zeff/TechCrunch)
https://techcrunch.com/2025/06/17/anysphere-…

Anysphere launches a $200-a-month Cursor AI coding subscription | TechCrunch
Cursor-maker Anysphere is launching a $200-a-month subscription for its AI coding tool, as the space for "vibecoding" products heats up.

PostHog, which offers dev tools to analyze, test, observe, and deploy new features, raised a $70M Series D led by Stripe at a $920M valuation (Mary Ann Azevedo/Crunchbase News)
https://news.crunchbase.com/ai/startup-posthog-tweet-funding-round-stripe/

Meet PostHog, A Startup That Just Raised A $70M Series D Led By Stripe From A Single Tweet
PostHog, which aims to help developers build “successful products,” quietly announced last week that it had raised $70 million in a Series D funding round at a $920 million valuation led by digital payments giant Stripe.