Tootfinder

The Ultimate Signs of Second-Order Holonomic Sequences
Fugen Hagihara, Akitoshi Kawamura
https://arxiv.org/abs/2506.14751 https://arx…

The Ultimate Signs of Second-Order Holonomic Sequences
A real-valued sequence $f = \{ f(n) \}_{n \in \mathbb{N}}$ is said to be second-order holonomic if it satisfies a linear recurrence $f (n + 2) = P (n) f (n + 1) + Q (n) f (n)$ for all sufficiently large $n$, where $P, Q \in \mathbb{R}(x)$ are rational functions. We study the ultimate sign of such a sequence, i.e., the repeated pattern that the signs of $f (n)$ follow for sufficiently large $n$. For each $P$, $Q$ we determine all the ultimate signs that $f$ can have, and show how they partition …

@… Yeah, that works less well. I’m running Nix for some stuff on Raspbian and you simply can’t do the good bits, such as managing services. So I use Ansible, begrudgingly.
Gonna get myself a little x86 box soon. The Pi was cool but ultimately a failure for me, specifically because of this.

Pretty early on, I had a feeling there might be several similar possible answers for today’s #Wordle. Ultimately, I just had to take a bite at the apple.
#Wordle1460 6/6*
⬜⬜🟨⬜⬜
🟨⬜⬜⬜⬜
⬜⬜🟨🟩🟩
⬜🟩🟩🟩🟩
⬜🟩🟩🟩🟩
🟩🟩🟩🟩🟩

I was trying Greenlight for streaming my Xbox console games on Bazzite Linux, and I noticed there's still hope for Microsoft 🧐 🥰 🥳 🎮
#gaming #Xbox #Greenlight

The Ultimate Injustice of The Death Penalty: You can open the cell door, but you can’t open the grave.
#JusticeReform #CapitalPunishment

Brad Lander,
the New York City comptroller and a candidate for mayor,
was handcuffed as he tried to steer a man past Immigration and Customs Enforcement officers.
Mr. Lander appears to hold onto the man as the agents shepherd him toward the elevators.
“I will let go when you show me the judicial warrant,” he says,
his right hand on the man’s shoulder.
Agents can be seen trying to pry Mr. Lander away.
They ultimately separate Mr. Lander from the man…

Brad Lander, NYC Mayoral Candidate, Arrested by ICE Agents at Immigration Courthouse
Mr. Lander, the New York City comptroller and a candidate for mayor, was handcuffed as he tried to steer a man past Immigration and Customs Enforcement officers.

SimSpark: Interactive Simulation of Social Media Behaviors
Ziyue Lin, Yi Shan, Lin Gao, Xinghua Jia, Siming Chen
https://arxiv.org/abs/2506.14476 https://

SimSpark: Interactive Simulation of Social Media Behaviors
Understanding user behaviors on social media has garnered significant scholarly attention, enhancing our comprehension of how virtual platforms impact society and empowering decision-makers. Simulating social media behaviors provides a robust tool for capturing the patterns of social media behaviors, testing hypotheses, and predicting the effects of various interventions, ultimately contributing to a deeper understanding of social media environments. Moreover, it can overcome difficulties assoc…

ICE
The ultimate disaster...
The world is covered in ice
#FUCKICE

Collaborative Interest-aware Graph Learning for Group Identification
Rui Zhao, Beihong Jin, Beibei Li, Yiyuan Zheng
https://arxiv.org/abs/2506.14826 https:…

Collaborative Interest-aware Graph Learning for Group Identification
With the popularity of social media, an increasing number of users are joining group activities on online social platforms. This elicits the requirement of group identification (GI), which is to recommend groups to users. We reveal that users are influenced by both group-level and item-level interests, and these dual-level interests have a collaborative evolution relationship: joining a group expands the user's item interests, further prompting the user to join new groups. Ultimately, the two i…

When Donald Trump last attended a Group of 7 meeting in Canada, he was in many ways the odd man out.
At that meeting, in 2018, Trump called for the alliance of Western countries to embrace Russia,
antagonized allies and
ultimately stormed out of the summit over a trade battle he began by imposing metals tariffs on Canada.
As he returns on Sunday for the Group of 7 meeting in Alberta, those fissures have only deepened.
Since retaking office, the president has sough…

As Trump Returns to G7, Rift With Allies Is Even Deeper
In 2018, the president called for the group to embrace Russia and stormed out of the summit. Now he is seeking to shrink America’s military role abroad and embarking on a more expansive trade war.