Tootfinder

On the best constant in the finitary Vitali covering lemma for high dimensional cubes
Gian Maria Dall'Ara
https://arxiv.org/abs/2510.06817 https://arxi…

On the best constant in the finitary Vitali covering lemma for high dimensional cubes
Let $Γ_d$ be the largest constant such that every finite collection of cubes in $\mathbb{R}^d$ whose sides are parallel to the coordinate axes admits a disjoint sub-collection occupying a fraction $Γ_d$ of its volume. Vitali's greedy algorithm shows that $Γ_d\geq 3^{-d}$, and cutting a cube into its $2^d$ dyadic sub-cubes gives $Γ_d\leq 2^{-d}$. The question of determining the value of $Γ_d$ was first raised by T.~Radó in a 1927 letter to Sierpinski. In this paper we investigate the asy…

Last night was the second anniversary of the time that somebody hit-and-run -ed my house, destroying the gas main riser and sending me out in the pouring rain and dark, barefoot, to hold the roaring gas leak closed with my palm like that apocryphal Dutch kid and the dam.
https://westseattleb…

UPDATE: Gas-leak response after hit-run driver crashes into house
9:18 PM: Avoid the area of 37th/100th in Arbor Heights for a while - a driver hit a house and a natural-gas leak is reported to have resulted. Police have blocked off 37th. They are telling dispatch it's a hit-and-run - the driver subsequently took off. So far the vehicle is described only as

Some results on evolutoids of convex curves in $2$-dimensional space forms
Ady Cambraia Junior, Alessandro Gaio Chimenton, Marco Ant\^onio do Couto Fernandes, Mostafa Salarinoghabi
https://arxiv.org/abs/2510.07274

Some results on evolutoids of convex curves in $2$-dimensional space forms
Let $M_c$ be a $2$-dimensional space form of constant curvature $c=-1,0,1$ and $γ$ a smooth, closed, convex curve in $M_c$. We explicitly parametrize the \textit{$α$-evolutoid} of $γ$, i.e.\ the closed curve $γ_α$ describing the envelope of all geodesics $σ_s=σ_s(t)$ such that $σ_s(0)=γ(s)$ and $\sphericalangle(σ_s'(0),γ'(s))=α$, with $α\in[0,π/2]$ fixed and determine its lenght. Also, we deduce that for each $s$ the points $γ(s),γ_α(s),γ_{π/2}(s)$ belong to a distinct geodes…

I was looking for my dishwasher manual. I noticed next to the manual, a link that said "Free Open Source Software". Curious, I clicked on it, and it's a long list of licenses and copyright information that is used in the dishwasher. Ctrl-F, and sure enough - my name's on the list.
I feel like I should have gotten a discount on the dishwasher, or at the very least access to its firmware source code! 🤠

#Sky's scaremongering is not going to work.
They simply need to drop the pricing (€52 a month on their 'Sky Signature' aka. Entertainment package €40 a month on Sky Sports)
And abolish the Saturday 3PM bollocks (in Ireland anyway) for Premier League games, and maybe people will pay for it then.
The wording on this is just laughable.
'Dodgy boxes' are not i…

I’m not on board with this.
Instead of an “are you over 18” question for a feature I don’t want, let me skip it and keep the feature off.
Also, didn’t Vispero get my contact details in order to take my money?
“Vispero Accounts: An Explanation, an Apology, and a Path Forward”
https://vispero.com…

I already posted two #YearInMusic posts (my #2025InReview stats from #spotify and #listenbrainz

From Translink
The Pattullo Bridge will be closed southbound into Surrey for three nights, because of ongoing construction work for the Pattullo Bridge Replacement Project. The directional closures will take place overnight on the following dates:
Thursday, November 27 (9 p.m. to 5 a.m.)
Friday, November 28 (9 p.m. to 5 a.m.)
Sunday, November 30 (9 p.m. to 5 a.m.)

The bridge will also remain closed southbound for pedestrians and cyclists

Drat - so close - just misread a clue and clicked before thinking.
I solved the daily Clues by Sam, Dec 3rd 2025 (Tricky), in less than 8 minutes
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https://cluesbysam.com

Trump officials were told that cutting aid to South Sudan would exacerbate a deadly cholera epidemic. -- They did so anyway. 

Aid Charade: Even as lifesaving programs closed in South Sudan, Rubio and other officials maintained they were still active and that no one had died. -- We found that wasn’t true.

A Surging Outbreak: After the funding cuts, cases in South Sudan spiked. -- It’s the worst cholera epidemic in the country’s history.

Trump Officials Celebrated With Cake After Slashing Aid. Then People Died of Cholera.
Behind closed doors in Washington, top advisers made a series of decisions that had devastating repercussions for the poorest country on earth. We went to South Sudan and found people who died as a result.