Tootfinder

Oh je...
Eine #Sicherheitslücke in #Microsoft #Sharepoint ließ sich nach einem Patch mit nur einem zusätzlichen Zeichen im Code wieder aushebeln.

Sharepoint-Angriffe: Hacker umgehen Microsofts Patch mit nur einem Zeichen - Golem.de
Laufende Attacken auf Sharepoint-Instanzen versetzen die IT-Welt in Aufruhr. Ein neuer Bericht gewährt Einblicke in Microsofts Versäumnisse.

The result is a two-party system where the parties are going at cross purposes: one going full naked stinking fascist, and the other not pushing back in the opposite direction but just…pushing sideways, wishing for the resurrection of a party split that’s gone.
This may explain in part the endless appeal of the centrist mush-meal pitch: “We just need a party that meets these poor benighted Trump voters with common-sense answers to kitchen table issues!” That sounds like the way you win the 1932 presidential election! Yay!
7/

Hamiltonian paths extending a set of matchings in hypercubes
Abid Ali, Lina Ba, Weihua Yang
https://arxiv.org/abs/2506.21432 https://…

Hamiltonian paths extending a set of matchings in hypercubes
The hypercube \( Q_n \) contains a Hamiltonian path joining \( x \) and \( y \) (where $x$ and $y$ from the opposite partite set) containing \( P \) if and only if the induced subgraph of \( P \) is a linear forest, where none of these paths have \( x \) or \( y \) as internal vertices nor both as endpoints. Dvořák and Gregor answered a problem posed by Caha and Koubek and proved that for every \( n \geq 5 \), there exist vertices \( x \) and \( y \) with a set of \( 2n - 4 \) edges in \( Q_n…

Noch einige der zuletzt hier besonders häufig geteilten #News:
Kritische Sharepoint-Sicherheitslücke: Erste Patches für "ToolShell" sind da

#Wordle 1,465 4/6*
⬜⬜⬜⬜⬜ <1% of 209,973 (754)
⬜🟨🟨⬜⬜ 1% of 157 (27)
⬜🟨⬜🟩🟨 0 of 1 (1)
🟩🟩🟩🟩🟩
WordleBot
Skill 84/99
Luck 50/99
It's interesting, the paths that lead you to the solution. Except for the bot, following an algorithm and knowing all the possible words as it goes, even those picking the same starting word follow different paths to the answer. I suspect I'd follow a different path next week from what I did today even if I used the same starting word.

Did you know, President & CEO of CBS, which just bribed potus by settling a case and canceled Stephen Colbert's show, is named, not making this up, George Cheeks?
Sure they were bullied as a kid, but as CEO, George Cheeks laying down for fascists makes me theoretically ('cause violence is not a good answer) want to clap those cheeks (metaphorically slap him).
Stop returning Paramount & subsidiaries' (like CBS) calls. They wither w/no one to work for them. …

A Two-Operator Calculus for Arithmetic-Progression Paths in the Collatz Graph
Sebastian Angermund
https://arxiv.org/abs/2506.19115 https://

A Two-Operator Calculus for Arithmetic-Progression Paths in the Collatz Graph
A recast of the standard residue-class analysis of the 3x+1 (Collatz) map in terms of two elementary operators on arithmetic progressions. The resulting calculus (i) splits any progression into its even and odd subsequences in a single step, (ii) gives a closed formula for every set of seeds that realises a prescribed parity word, (iii) yields a one line affine invariant that forbids trajectories consisting of infinitely many odd moves, and (iv) reduces the non-trivial-cycle problem to a pair o…

Girl! You are in danger⁠! 🎁

The question of who will succeed the Dalai Lama remains important.
But perhaps the more pressing question is:
how can each of us carry forward his legacy?
The answer, I believe, lies not in politics, power, or headlines.
It lies in compassion. In action. In choosing kindness, again and again.

Who Will Succeed The Dalai Lama? - The Dalai Lama Turns 90
As the Dalai Lama turns 90, his legacy of compassion and humility invites us all to carry his teachings forward in a divided world.

Domino tilings, nonintersecting lattice paths and subclasses of Koutschan-Krattenthaler-Schlosser determinants
Qipin Chen, Shane Chern, Atsuro Yoshida
https://arxiv.org/abs/2507.15665

Domino tilings, nonintersecting lattice paths and subclasses of Koutschan-Krattenthaler-Schlosser determinants
Koutschan, Krattenthaler and Schlosser recently considered a family of binomial determinants. In this work, we give combinatorial interpretations of two subclasses of these determinants in terms of domino tilings and nonintersecting lattice paths, thereby partially answering a question of theirs. Furthermore, the determinant evaluations established by Koutschan, Krattenthaler and Schlosser produce many product formulas for our weighted enumerations of domino tilings and nonintersecting lattice …