Tootfinder

Quantitative isoperimetric inequalities in capillarity problems and cones in strong and barycentric forms
Davide Carazzato, Giulio Pascale, Marco Pozzetta
https://arxiv.org/abs/2507.07686

Quantitative isoperimetric inequalities in capillarity problems and cones in strong and barycentric forms
We study quantitative isoperimetric inequalities for two different perimeter-type functionals. We first consider classical capillarity functionals, which measure the perimeter of sets in a Euclidean half-space, assigning a constant weight $λ\in (-1, 1)$ to the portion of the boundary that lies on the boundary of the half-space. We then consider the relative perimeter of sets contained in some suitable convex cone in the Euclidean space. In both settings, we establish sharp quantitative isoperi…

Fast 40 Jahre nach seiner Abspaltung vom Filchner Schelfeis verliert der #Eisberg A-23A zunehmend große Stücke.
Im Juli 2025 brachen zwei neue Eisberge ab, A-23D und A-23E, mit Flächen von 159 und 73 Quadratkilometern.
A-23A treibt derzeit nördlich von #Südgeorgien und ist trotz…

New Isobar Models for $K^ \Lambda$ Electroproduction
Jovan Alfian Djaja, Terry Mart
https://arxiv.org/abs/2507.07750 https://arxiv.or…

New Isobar Models for $K^+Λ$ Electroproduction
The electroproduction of kaon on proton has been studied using two covariant isobar models. The models incorporate propagators and vertex factors developed in our previous works. In total, the current study includes 26 nucleon resonances and 20 hyperon resonances, with spins up to 13/2. In the electromagnetic vertices, we consider two alternative electromagnetic form factors alongside the commonly used dipole model. The unknown parameters in the models, such as longitudinal coupling constants a…

Western pharma giants have struck multibillion-dollar deals with Chinese biotech firms using AI, signaling confidence in China's AI drug discovery research (Leslie Liang/Rest of World)
https://restofworld.org/2025/ai-drug-discovery-startups-big-pharma-china/

China’s AI drug discovery companies land huge deals with Big Pharma
Multibillion-dollar partnerships show China’s rising influence in AI-driven pharmaceuticals. 

It's so weird that the Brexit UK government in buying OneWeb, after blocking UK companies from Galileo, has ended up in a tech partnership with France that became more valuable as counties started looking at non-US communications services.
https://www.…

UK Gov Boosts Eutelsat's OneWeb LEO Broadband Satellites by £140m
The UK Government has agreed to commit a further £140m (€163.3) of public investment to help Eutelsat grow and expand its constellation of OneWeb ultrafast b

Wow, I just had my first satellite video call. A friend of mine is in the #Arcticregion of #Greenland. 😎
Colleagues of him were going for a swim. 4 degrees Celsius water temperature, iceberg in the background.
#Signal

ach, onze ijsbaan houdt er mee op 😥 https://www.hetdeventernieuws.nl/2025/09/05/einde-van-een-tijdperk-de-diepenveense-ijsvereniging-stopt/

It's been a long and unusual journey for the world's largest iceberg, known as A23a,
but it's ending in the usual way: breaking apart and melting in the warmer waters of the South Atlantic Ocean, just like icebergs have done for millions of years before.
The iceberg — which at one time was around the same size as the Hawaiian island of Oahu — is "rapidly breaking up" into several "very large chunks," according to scientists from the British Antarct…

Optimal Finsler-Hadwiger inequalities
Beniamin Bogosel
https://arxiv.org/abs/2508.06285 https://arxiv.org/pdf/2508.06285

Optimal Finsler-Hadwiger inequalities
Various inequalities exist between the area of a triangle, the perimeter squared $(a+b+c)^2$ and the isoperimetric deficit $Q=(a-b)^2+(b-c)^2+(c-a)^2$. The direct and reverse Finsler-Hadwiger inequalities correspond to the best linear inequalities between the three quantities mentioned above. In this paper, the sharpest inequalities between these three quantities are found explicitly. The techniques used involve Blaschke-Santaló diagrams and constrained optimization problems.

A Model-Free Extremum Seeking Controller with Application to Tracking a Nonlinear Chemical Reaction
Alexander Zuyev, Victoria Grushkovska
https://arxiv.org/abs/2507.07749

A Model-Free Extremum Seeking Controller with Application to Tracking a Nonlinear Chemical Reaction
In this paper, we develop the extremum-seeking approach to generate admissible trajectories in a neighborhood of a given reference curve in the state space. The cost function of the problem represents the distance between the current system state and the reference curve, which is parameterized as a function of time. Such reference curves naturally arise as optimal trajectories in isoperimetric optimization problems for nonlinear chemical reactions, where the objective is to maximize the average…