Tootfinder

For those who think that going out is the wrong thing to do today: Here's a quick puzzle for you.
#MathPuzzle #ScientificAmerican #DicePuzzle

I solved today's puzzle!
That Non-Platonic Feeling by Stefan Jewett
Yay! I did it in 1 tries!
#4x3game #WordPuzzle
https://www.4x…

Computing $H$-equations with 2-by-2 integral matrices
Gemma Bastardas, Enric Ventura
https://arxiv.org/abs/2506.05272 https://arxiv.o…

Computing $H$-equations with 2-by-2 integral matrices
We study the transference through finite index extensions of the notion of equational coherence, as well as its effective counterpart. We deduce an explicit algorithm for solving the following algorithmic problem about size two integral invertible matrices: ''given $h_1,\ldots, h_r; g\in \operatorname{PSL}_2(\mathbb{Z})$, decide whether $g$ is algebraic over the subgroup $H=\langle h_1,\ldots ,h_r\rangle \leqslant \operatorname{PSL}_2(\mathbb{Z})$ (i.e., whether there exist a non-trivial $H$-eq…

Found an app called “Octave Coffee”. It’s an opinionated timer for pourover coffee. Tells you how much to pour, then how much to wait, and so on. And it has a cute pixel art kitty.
The problem is… it negs you while doing it, and your reward at the end for following the instructions is the message, “You actually listened. Shocking.”
I did it twice. It doesn’t vary.
So… I’m deleting it, even though I found it useful, because I don’t want to be insulted first thing in the morn…

Any #flameshot #sway users who might have a problem with fullscreen captures, you want this:
# fix flameshot
for_window [app_id="flameshot"] border pixel 0, floating enable, fullscreen disable, move absolute position 0 0, focus

JWST reveals a supernova following a gamma-ray burst at z $\simeq$ 7.3
A. J. Levan, B. Schneider, E. Le Floc'h, G. Brammer, N. R. Tanvir, D. B. Malesani, A. Martin-Carrillo, A. Rossi, A. Saccardi, A. Sneppen, S. D. Vergani, J. An, J. -L. Atteia, F. E. Bauer, V. Buat, S. Campana, A. Chrimes, B. Cordier, L. Cotter, F. Daigne, V. D'Elia, M. De Pasquale, A. de Ugarte Postigo, G. Corcoran, R. A. J. Eyles-Ferris, H. Fausey, A. S. Fruchter, O. Godet, B. P. Gompertz, D. Gotz, N. Habeeb…

JWST reveals a supernova following a gamma-ray burst at z $\simeq$ 7.3
The majority of energetic long-duration gamma-ray bursts (GRBs) are thought to arise from the collapse of massive stars, making them powerful tracers of star formation across cosmic time. Evidence for this origin comes from the presence of supernovae in the aftermath of the GRB event, whose properties in turn link back to those of the collapsing star. In principle, with GRBs we can study the properties of individual stars in the distant universe. Here, we present JWST/NIRCAM observations that d…

I was reminded again why it takes more than a feeling to get #Connections right, even when the hurried, obvious answer is waiting there for you. I nearly bit the dust by falling for a barracuda of a red herring.
#Connections734
Puzzle № 734
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🟦🟦🟦🟦
🟨🟨🟨🟨

High-gain model-following control for trajectory tracking
Nicals Tietze, Kai Wulff, Johann Reger
https://arxiv.org/abs/2506.13463 https://

High-gain model-following control for trajectory tracking
We consider trajectory tracking for minimum-phase nonlinear systems in Byrnes-Isidori form using the model-following control (MFC) architecture. The tracking problem is motivated by a hierarchical control concept where a higher-level instance provides the reference trajectory at run-time. We present a computational efficient implementation of the feedback linearisation MFC design, and apply high-gain feedback in the process control loop (PCL) to achieve practical tracking in presence of Lipschi…

Energy-Resolved EBSD using a Monolithic Direct Electron Detector
Nicol\`o M. Della Ventura, Kalani Moore, McLean P. Echlin, Matthew R. Begley, Tresa M. Pollock, Marc De Graef, Daniel S. Gianola
https://arxiv.org/abs/2507.20105

Energy-Resolved EBSD using a Monolithic Direct Electron Detector
Accurate quantification of the energy distribution of backscattered electrons (BSEs) contributing to electron backscatter diffraction (EBSD) patterns remains as an active challenge. This study introduces an energy-resolved EBSD methodology based on a monolithic active pixel sensor direct electron detector and an electron-counting algorithm to enable the energy quantification of individual BSEs, providing direct measurements of electron energy spectra within diffraction patterns. Following detec…

"..some residents in #Ballymena have started to mark their front doors to indicate their nationality to avoid attack.."
I lived in this town, Ian Paisley's home town and DUP core territory, for 3 years as a teenager. Not been back.
It was characterised by narrow-mindedness and bigotry then in the 60s.
The last place to concentrate migrants, if that is what has happene…

Police injured, houses burned in second night of riots in Northern Ireland
Rioters said to target ‘foreigners’ in Northern Ireland town following alleged sexual assault of local teenage girl.