Tootfinder

@…
"Never believe that the Creator didn’t have a sense of humor when she invented something as damnable as spinors to describe all the ordinary matter in the universe, including you."
--William O. Straub from "A Child’s Guide to Spinors"

From 2030*, passengers of private jets departing from the Netherlands will pay a flight tax of €420 to €2,100, depending on distance. So far, they only paid €29.40, just like ordinary airline passengers.
Yay for Dutch parliament!
https://www.rtl.nl/nieu…

Tweede Kamer wil vliegbelasting voor privéjets 14 tot 71 keer verhogen: 'Toonbeeld van verspilling'
De Tweede Kamer wil dat passagiers van privévliegtuigen veel meer vliegbelasting gaan betalen. De Kamer heeft zojuist een voorstel van GroenLinks-PvdA aangenomen, waarin de vliegbelasting voor privéjets omhoog gaat van 29,40 euro per passagier tot 420 euro of zelfs 2100 euro.

Aggressive traders on Robinhood, whose stock has more than tripled in 2025, are central to the company's success, as critics liken the environment to a casino (Hannah Erin Lang/Wall Street Journal)
https://www.wsj.com/finance/robinhood-ceo-vlad-tenev-04e3ab28?st=r…

Traders Are Flooding Markets With Risky Bets. Robinhood’s CEO Is Their Cult Hero.
Brokerage co-founded by Vlad Tenev makes exotic investments available to ordinary investors, seeing aggressive traders as key to company’s success

"Some of the mistakes we have made, some of the unforced errors have given a sense that we are not on the side of ordinary people."
I imagine Leo is of the Roman persuasion too.
Who is new deputy Labour leader Lucy Powell? - BBC News
https://www.bbc.co.uk/news/articles/cev1d3

Who is new deputy Labour leader Lucy Powell?
A Labour activist since the age of nine, the Manchester MP has promised to be a voice for party members.

🇺🇦 #NowPlaying on KEXP's #MiddayShow
Bob Moses:
🎵 Ordinary Day
#BobMoses
https://bobmoses.bandcamp.com/track/ordinary-day
https://open.spotify.com/track/47iW0OrMX0RwCeQI8A1zLf

12 ordinary LA jurors say “No!” to ICE goons and federal prosecutors.
At least part of the constitution still lives and does its job:
the Sixth Amendment's right to a jury trial to decide criminal charges.
Jury acquits L.A. man who towed immigration agent’s car during TikTok influencer’s arrest
-- Susan E Seager

A Mathematical Rubicon Has Been Crossed By AI - Ordinary Times
https://ordinary-times.com/2025/12/17/a-mathematical-rubicon-has-been-crossed-by-ai/

From late July helping run the lights & camera for the launch of her campaign to the eve of the election at Galway Arts Centre with creative sector workers & unions, I'm immensely grateful to have been a small part of this historic moment for Ireland with Catherine's election.
Time to take this momentum we've all built together into a movement for change and a new Ireland for carers, workers, and ordinary people.

🇺🇦 #NowPlaying on #BBC6Music's #CraigCharles
Terry Callier:
🎵 Ordinary Joe
#TerryCallier
https://telledits.bandcamp.com/track/terry-callier-ordinary-joe-jonas-wasting-time-edit

Podcast: A Massive Breach Reveals the Truth Behind 'Secret Desires AI' https://www.404media.co/podcast-a-massive-breach-reveals-the-truth-behind-secret-desires-ai/

In my journey as a climate activist, I've grappled with the contradictions of my lifestyle. I consume meat, I fly on planes, yet I advocate for sustainable practices.
For a while, I felt like a hypocrite. But, I've realized that the climate movement doesn't need to be a space of perfection, but a space for ordinary humans with their contradictions.
Can we be climate activists while still having contradictions in our lives?

Note on the Number of Almost Ordinary Triangles
Adrian Dumitrescu, J\'anos Pach
https://arxiv.org/abs/2510.03445 https://arxiv.org/pdf/2510.03445

Note on the Number of Almost Ordinary Triangles
Let $X$ be a set of $n$ points in the plane, not all on a line. According to the Gallai-Sylvester theorem, $X$ always spans an \emph{ordinary line}, i.e., one that passes through precisely 2 elements of $X$. Given an integer $c\ge 2,$ a \emph{line} spanned by $X$ is called \emph{$c$-ordinary} if it passes through at most $c$ points of $X$. A \emph{triangle} spanned by 3 noncollinear points of $X$ is called \emph{$c$-ordinary} if all 3 lines determined by its sides are \emph{$c$-ordina…

Moody Urbanity - Stand 🧍‍♂️
情绪化城市 - 立 🧍‍♂️
📷 Nikon FE
🎞️ Ilford HP5 Plus 400, expired 1993
#filmphotography #Photography #blackandwhite

Donald Trump followed through on his threats to sue the BBC over its editing of his remarks on Jan. 6, 2021, for a documentary.
The following can be attributed to Seth Stern, director of advocacy at Freedom of the Press Foundation (FPF):
“If any ordinary person filed as many frivolous multibillion-dollar lawsuits as Donald Trump, they’d be sanctioned and placed on a restricted filers list.
By my count, Trump has demanded at least $65 billion in damages from media outlets i…

Trump’s BBC lawsuit is nonsense, like his others
His frivolous damages theory concedes that Trump views the presidency as a for-profit venture

"Artificial intelligence might be the most transformative technology in generations. It is also the most joyless.
While Wall Street greets AI with open arms, ordinary Americans respond with ambivalence, anxiety, even dread."
The Most Joyless Tech Revolution Ever: AI Is Making Us Rich and Unhappy

I still think of that quote from one of the characters of Kotaro Uchikoshi's games, where one of the character gives their own definition of what family means
> "Family is the most ordinary relationship"
That is the entire definition. And honestly, if your relationship with your family is not ordinary, mundane, casual, maybe those people are not actually your family

“In fact, while the trauma and terror that Bovino’s unit instills is certainly real and damaging, it’s remarkable to note how _ineffective_ the force has turned out to be. Time and again, these agents — and the broader DHS and White House policies behind it — are being exposed not for their strength, but their weakness. Ordinary Americas are stronger — braver _and_ better.”

Trump, Border Patrol Retreat in Failure from Chicago
Five important lessons of the first six months of Trump’s immigration raids — and why CBP’s Greg Bovino is the Nathan Bedford Forrest of the Trump era.

Yesterday: Icelandair booking website while I’m trying a complicated but not out of the ordinary booking: “unknown error”
Me: “I’ll deal with it tomorrow”
Today: Cloudflare: “LOL”

Prisma Photonics, which develops AI-based tech for monitoring infrastructure using existing optical fiber networks, raised $30M, taking total funding to $80M (Meir Orbach/CTech)
https://www.calcalistech.com/ctechnews/article/rjjneb66lg

Prisma Photonics raises $30 million to expand AI-based infrastructure monitoring
The Tel Aviv deep-tech firm turns ordinary fiber networks into global security and power-grid sentinels.

Having a bit of a Daisy Ridley week. First, did Magpie a couple days ago, and now doing The Marsh King's Daughter, thanks to @…'s rec. 👊
https://boxd.it/u2Q8

The Marsh King's Daughter (2023)
Helena, a woman living a seemingly ordinary life, hides a dark secret—her father is the infamous 'Marsh King', the man who kept her and her mother captive in the wilderness for years. After a lifetime of trying to escape her past, Helena is forced to face her demons when her father unexpectedly escapes from prison.

Towards Foundation Inference Models that Learn ODEs In-Context
Maximilian Mauel, Manuel Hinz, Patrick Seifner, David Berghaus, Ramses J. Sanchez
https://arxiv.org/abs/2510.12650

Towards Foundation Inference Models that Learn ODEs In-Context
Ordinary differential equations (ODEs) describe dynamical systems evolving deterministically in continuous time. Accurate data-driven modeling of systems as ODEs, a central problem across the natural sciences, remains challenging, especially if the data is sparse or noisy. We introduce FIM-ODE (Foundation Inference Model for ODEs), a pretrained neural model designed to estimate ODEs zero-shot (i.e., in context) from sparse and noisy observations. Trained on synthetic data, the model utilizes a …

Erst war es nur ein Loch. Dann wurde es ernst ...
#TurtleStitch

Flicken Sticken
Problem My dachshunds chewed a hole in my jacket pocket. Not just an ordinary jacket, but a kind of Janker, a type of Bavarian traditional jacket, most...

Equality of ordinary and symbolic powers and the Conforti-Cornu\'ejols conjecture for $(n-2)$-uniform clutters
Amit Roy, Kamalesh Saha
https://arxiv.org/abs/2510.15864 https…

"Despite the generally strong support for democracy, there was an equally strong desire for radical change, with more people in most countries thinking the system was rigged in favour of the rich and powerful rather than working for everyone."
What? Do ordinary mortals think the neoliberal cosnsenus has failed us? How can this be? Look at all the wonderful things the billionaires have developed for us!

"Despite the generally strong support for democracy, there was an equally strong desire for radical change, with more people in most countries thinking the system was rigged in favour of the rich and powerful rather than working for everyone."
What? Do ordinary mortals think the neoliberal cosnsenus has failed us? How can this be? Look at all the wonderful things the billionaires have developed for us!

I believe the dismantling of capitalism and the state must come through direct action and self-organization by the working class, united in democratic, federated, and recallable unions. Power must grow from the bottom, from the workplaces and communities of ordinary people, instead of being handed to parties or leaders who claim to act on our behalf. Emancipation will only be achieved when workers collectively take control of production, end exploitation, and organize society through free co…

Obama:
"When you see an administration suggest that ordinary street crime is an insurrection or a terrorist act,
that is a genuine effort to weaken how we have understood democracy."
https://bsky.app/profile/atrupar.com/post/3m3436lfc7c2a

Aaron Rupar (@atrupar.com)
Obama: "When you see an administration suggest that ordinary street crime is an insurrection or a terrorist act, that is a genuine effort to weaken how we have understood democracy."

The NYT says its journalists won't sign the Pentagon's revised press pass policy, saying it threatens to punish them for First-Amendment protected newsgathering (The New York Times Company)
https://www.nytco.com/press/a-statement-fr…

A Statement from The New York Times on the Pentagon’s Press Pass Policy | The New York Times Company
Journalists from The New York Times will not sign the Pentagon’s revised press pass policy, which threatens to punish them for ordinary news gathering protected by the First Amendment.

👎🏿 Americans Are Mostly United Against 𝐶𝑖𝑡𝑖𝑧𝑒𝑛𝑠 𝑈𝑛𝑖𝑡𝑒𝑑
#politics

Americans Are Mostly United Against Citizens United
When the Supreme Court issued the Citizens United decision, it allowed a torrent of unchecked dark money into political campaigning. Ordinary Americans of all political stripes have taken notice, and they overwhelmingly disapprove of the results.

“I watch others from afar—chasing dreams I cannot reach, climbing ladders I cannot touch, celebrating victories that sound like whispers from another life. They wake without fear. They plan without hesitation. They move through a world that no longer belongs to me. And I… I measure my days by the tremor of explosions, by the moments when the sky feels ready to collapse.
War steals more than homes—it swallows the ordinary: quiet mornings, free laughter, hands meeting without trembling. …

I live where the sound of silence is broken only by war.
The world outside my window moves on without me—laughing, learning, loving, growing—in colors I cannot touch. Here, the streets are hollow bones. The schools, silent graves. Time itself lies ...

Symmetric Division of Linear Ordinary Differential Operators
Lixin Du, Manuel Kauers
https://arxiv.org/abs/2510.01436 https://arxiv.org/pdf/2510.01436

Symmetric Division of Linear Ordinary Differential Operators
The symmetric product of two ordinary linear differential operators $L_1,L_2$ is an operator whose solution set contains the product $f_1f_2$ of any solution $f_1$ of $L_1$ and any solution $f_2$ of~$L_2$. It is well known how to compute the symmetric product of two given operators $L_1,L_2$. In this paper we consider the corresponding division problem: given a symmetric product $L$ and one of its factors, what can we say about the other factors?

The Age-Structured Chemostat with Substrate Dynamics as a Control System
Iasson Karafyllis, Dionysis Theodosis, Miroslav Krstic
https://arxiv.org/abs/2511.09963 https://arxiv.org/pdf/2511.09963 https://arxiv.org/html/2511.09963
arXiv:2511.09963v1 Announce Type: new
Abstract: In this work we study an age-structured chemostat model with a renewal boundary condition and a coupled substrate equation. The model is nonlinear and consists of a hyperbolic partial differential equation and an ordinary differential equation with nonlinear, nonlocal terms appearing both in the ordinary differential equation and the boundary condition. Both differential equations contain a non-negative control input, while the states of the model are required to be positive. Under an appropriate weak solution framework, we determine the state space and the input space for this model. We prove global existence and uniqueness of solutions for all admissible initial conditions and all allowable control inputs. To this purpose we employ a combination of Banach's fixed-point theorem with implicit solution formulas and useful solution estimates. Finally, we show that the age-structured chemostat model gives a well-defined control system on a metric space.
toXiv_bot_toot

🇺🇦 #NowPlaying on KEXP's #VarietyMix
Joe Bataan:
🎵 Ordinary Guy (Afrofilipino)
#JoeBataan
https://jazzanova.bandcamp.com/album/joe-bataan-ordinary-guy-jazzanova-rework
https://open.spotify.com/track/5cncYHVOLtSicz6fRAXFZa

RE: https://mastodon.social/@TCatInReality/115317306795824403
How did ordinary people become so stupid that they started voting for the rich?
We used to see rich people as parasitic bloodsuckers who lived off of exploiting the labour of others.…

Shoshimin: How to become Ordinary: Ein #Anime der nun vorletzten Season und des letzten Jahres.
Es geht um zwei Jugendliche, beide sehr intelligent. Während der Junge gern Rätsel wie Kriminalfälle löst und sich daher überall einmischt, ist das Mädchen hier ihrer niedlich-schüchternen Fassade nachtragend und verwickelt andere in ihre Pläne. Da ihnen ihr Verhalten immer Probleme bereitet hat, h…

"Their inaction, their neutrality, their “pragmatic” accommodation—every golden plaque presented to Trump, every settlement paid to avoid retaliation, every silent acquiescence to constitutional destruction—all of this is discrediting capitalism in the eyes of ordinary Americans in ways that no socialist organizer could achieve. They are acting like the cartoon villains Marxists make them out to be"

How America’s Business Elite Became Their Own Marxist Caricature
There is a moment in every authoritarian takeover when the business elite must choose between principle and profit, between defending the system that made their wealth possible and accommodating th…

Who's The Boss?
Your ticket to escape the ordinary and dive deep into the captivating minds and stories of some of Australia's most beloved personalities...
Great Australian Pods Podcast Directory: https://www.greataustralianpods.com/whos-the-boss/

Once limited to policing the nation’s boundaries,
the Border Patrol has built a surveillance system stretching into the country’s interior
that can monitor ordinary Americans’ daily actions and connections for anomalies instead of simply targeting wanted suspects.
The U.S. Border Patrol is monitoring millions of American drivers nationwide in a secretive program to identify and detain people whose travel patterns it deems suspicious, The Associated Press has found.
The …

Border Patrol monitors US drivers and detains Americans for ‘suspicious’ travel
The U.S. Border Patrol is monitoring millions of American drivers nationwide in a secretive program to identify and detain people whose travel patterns it deems suspicious. The Associated Press has found that the predictive intelligence program has resulted in people being stopped, searched, and in some cases arrested. A network of cameras scans and records vehicle license plate information, and an algorithm flags vehicles deemed suspicious based on where they came from, where they were going, …

LLMs are endgame capitalism. once you run out of ordinary things to do with $, the only thing left is to outspend rivals in some market, in order to become *the* monopoly, for that ultimate power.
existing markets are regulated to be "useful", so it's hard to win there. it's easier (seems easier) to win in new markets.
cryptocurrency was one, "new money". VR tried to be one, "new reality", but participation is too hard.
LLMs are "n…

Darth #Trump is an idiot—there's no other way to put it. It is rumored that he wants to pardon all war crimes committed by Russians against soldiers and civilians in #Ukraine.
Who does he think he is? Lord of the world? If he were just any ordinary citizen, people would laugh at him or put him in a psy…

Latent-Feature-Informed Neural ODE Modeling for Lightweight Stability Evaluation of Black-box Grid-Tied Inverters
Jialin Zheng, Zhong Liu, Xiaonan Lu
https://arxiv.org/abs/2510.09826

Latent-Feature-Informed Neural ODE Modeling for Lightweight Stability Evaluation of Black-box Grid-Tied Inverters
Stability evaluation of black-box grid-tied inverters is vital for grid reliability, yet identification techniques are both data-hungry and blocked by proprietary internals. {To solve this, this letter proposes a latent-feature-informed neural ordinary differential equation (LFI-NODE) modeling method that can achieve lightweight stability evaluation directly from trajectory data.} LFI-NODE parameterizes the entire system ODE with a single continuous-time neural network, allowing each new sample…

"As per Trumpian fantasy, the ringleader of the narco-terror operation is none other than Venezuelan President Nicolas Maduro himself.
"Never mind that Venezuela has approximately zero to do with drugs entering the US and doesn’t even produce fentanyl."
The US is already at war with Venezuela | Donald Trump | Al Jazeera

The US is already at war with Venezuela
Trump’s violent new tactics build on years of US sanctions and intervention that have devastated ordinary Venezuelans.

"Despite the generally strong support for democracy, there was an equally strong desire for radical change, with more people in most countries thinking the system was rigged in favour of the rich and powerful rather than working for everyone."
What? Do ordinary mortals think the neoliberal cosnsenus has failed us? How can this be? Look at all the wonderful things the billionaires have developed for us!

Stable Robot Motions on Manifolds: Learning Lyapunov-Constrained Neural Manifold ODEs
David Boetius, Abdelrahman Abdelnaby, Ashok Kumar, Stefan Leue, Abdalla Swikir, Fares J. Abu-Dakka
https://arxiv.org/abs/2510.05707

Stable Robot Motions on Manifolds: Learning Lyapunov-Constrained Neural Manifold ODEs
Learning stable dynamical systems from data is crucial for safe and reliable robot motion planning and control. However, extending stability guarantees to trajectories defined on Riemannian manifolds poses significant challenges due to the manifold's geometric constraints. To address this, we propose a general framework for learning stable dynamical systems on Riemannian manifolds using neural ordinary differential equations. Our method guarantees stability by projecting the neural vector field…

Analysis of bio-nanofluid flow over a stretching sheet with slip boundaries
Bahram Jalili, Salar Ghadiri Alamdari, Payam Jalili, Davood Domiri Ganji
https://arxiv.org/abs/2510.11149

Analysis of bio-nanofluid flow over a stretching sheet with slip boundaries
A viscous, incompressible, micropolar bio-nanofluid flowing across a stretching sheet in three dimensions while being driven to convect several slip boundaries in the presence of a magnetic field was studied. With the assistance of the relevant transformations, a mathematical model is presented. The finite difference method numerically solves the converted non-linear ordinary differential equations. A comprehensive assessment was conducted to examine the impact of governing parameters on dimens…

On character tables for fusion systems
Thomas Lawrence, Jason Semeraro
https://arxiv.org/abs/2510.09277 https://arxiv.org/pdf/2510.09277

On character tables for fusion systems
A character table $X$ for a saturated fusion system $\mathcal{F}$ on a finite $p$-group $S$ is the square matrix of values associated to a basis of virtual $\mathcal{F}$-stable ordinary characters of $S$. We investigate a conjecture of the second author which equates the $p$-part of $|\det(X)|^2$ with the product of the orders of $S$-centralisers of fully $\mathcal{F}$-centralised $\mathcal{F}$-class representatives. This statement is exactly column orthogonality for the character tab…

Notions of Cauchy completeness for normed categories
Dirk Hofmann, Walter Tholen
https://arxiv.org/abs/2510.00912 https://arxiv.org/pdf/2510.00912

Notions of Cauchy completeness for normed categories
As already mentioned by Lawvere in his 1973 paper, the characterisation of Cauchy completeness of metric spaces in terms of representability of adjoint distributors amounts to the idempotent-split property of an ordinary category when the governing symmetric monoidal-closed category is changed from the extended real half-line to the category of sets. In this paper, for any commutative quantale \(\mathcal{V}\), we extend these two characterisations of Lawvere-style completeness to \(\mathcal{V}\…

Journalists from The New York Times will not sign the Pentagon’s revised press pass policy,
which threatens to punish them for ordinary news gathering protected by the First Amendment.
Since the policy was first announced, we have expressed concerns that it constrains how journalists can report on the U.S. military,
which is funded by nearly $1 trillion in taxpayer dollars annually.
The public has a right to know how the government and military are operating.
T…

A Statement from The New York Times on the Pentagon’s Press Pass Policy | The New York Times Company
Journalists from The New York Times will not sign the Pentagon’s revised press pass policy, which threatens to punish them for ordinary news gathering protected by the First Amendment.

Generic balanced synchrony patterns in network dynamics
Romain Joly
https://arxiv.org/abs/2510.08187 https://arxiv.org/pdf/2510.08187

Generic balanced synchrony patterns in network dynamics
Coupled cell networks are specific ordinary differential equations with symmetry constraints, which are described by a given directed graph, with cells and arrows divided into several types. The generated dynamics can model, for example, those of neural networks. This type of systems and their emerging symmetries has been the subject of intense study, particularly by Golubitsky, Stewart and their co-authors. In the present article, we show that, for a generic vector field $f$, the synchrony p…

On nondegenerate $\mathbb{Z}_{2}$-harmonic $1$-forms with shrinking branching sets
Dashen Yan
https://arxiv.org/abs/2510.07678 https://arxiv.org/pdf/2510.0…

On nondegenerate $\mathbb{Z}_{2}$-harmonic $1$-forms with shrinking branching sets
We develop a gluing theorem for non-degenerate $\mathbb{Z}_{2}$-harmonic $1$-forms on compact manifolds, in which non-degenerate $\mathbb{Z}_{2}$-harmonic $1$-forms on $\mathbb{R}^{n}$ are glued to the regular zeros of a non-degenerate $\mathbb{Z}_{2}$-harmonic $1$-form. As an immediate consequence, viewing an ordinary harmonic $1$-form as a $\mathbb{Z}_{2}$-harmonic $1$-form without branching set, we prove that for every compact manifold $M^{n}, n\geq 3$, if the first Betti number $b^{1}(M)>0$…

Properties of generalized Jacobi elliptic functions with three parameters
Hajime Sato, Nagi Suzuki, Shingo Takeuchi
https://arxiv.org/abs/2510.11443 https://

Properties of generalized Jacobi elliptic functions with three parameters
Jacobi elliptic functions and complete elliptic integrals are generalized using three parameters. These generalized functions and integrals are closely related to ordinary differential equations involving $p$-Laplacian. In this paper, Wallis-type integral formulae are constructed for the generalized Jacobi elliptic functions. Moreover, for the generalized complete elliptic integrals, a Legendre-type relation is derived, which is equivalent to Elliott's identity for Gaussian hypergeometric serie…

Advantage of utilizing nonlocal magic resource in Haar-random circuits
Xiao Huang, Guanhua Chen, Yao Yao
https://arxiv.org/abs/2509.26342 https://arxiv.org…

Advantage of utilizing nonlocal magic resource in Haar-random circuits
In design and simulation of quantum circuits with multiple units, the computational ability is greatly limited by quickly increasing entanglement, and the ordinary sampling methods normally exhibit low efficiency. Herein, we uncover an intrinsic scaling law of the nonlocal magic resource and the bond dimension of matrix product states in Haar-random quantum circuits, that is, the nonlocal magic resource is converged on a bond dimension in logarithmic scale with the system size. It means, in the…

A Graph Width Perspective on Partially Ordered Hamiltonian Paths and Cycles II: Vertex and Edge Deletion Numbers
Jesse Beisegel, Katharina Klost, Kristin Knorr, Fabienne Ratajczak, Robert Scheffler
https://arxiv.org/abs/2510.08378

A Graph Width Perspective on Partially Ordered Hamiltonian Paths and Cycles II: Vertex and Edge Deletion Numbers
We consider the problem of finding a Hamiltonian path or cycle with precedence constraints in the form of a partial order on the vertex set. We study the complexity for graph width parameters for which the ordinary problems $\mathsf{Hamiltonian\ Path}$ and $\mathsf{Hamiltonian\ Cycle}$ are in $\mathsf{FPT}$. In particular, we focus on parameters that describe how many vertices and edges have to be deleted to become a member of a certain graph class. We show that the problems are $\mathsf{W[1]}$…

Nystr\"om-Accelerated Primal LS-SVMs: Breaking the $O(an^3)$ Complexity Bottleneck for Scalable ODEs Learning
Weikuo Wang, Yue Liao, Huan Luo
https://arxiv.org/abs/2510.04094

Nyström-Accelerated Primal LS-SVMs: Breaking the $O(an^3)$ Complexity Bottleneck for Scalable ODEs Learning
A major problem of kernel-based methods (e.g., least squares support vector machines, LS-SVMs) for solving linear/nonlinear ordinary differential equations (ODEs) is the prohibitive $O(an^3)$ ($a=1$ for linear ODEs and 27 for nonlinear ODEs) part of their computational complexity with increasing temporal discretization points $n$. We propose a novel Nyström-accelerated LS-SVMs framework that breaks this bottleneck by reformulating ODEs as primal-space constraints. Specifically, we derive for t…

User Prompting Strategies and ChatGPT Contextual Adaptation Shape Conversational Information-Seeking Experiences
Haoning Xue, Yoo Jung Oh, Xinyi Zhou, Xinyu Zhang, Berit Oxley
https://arxiv.org/abs/2509.25513

User Prompting Strategies and ChatGPT Contextual Adaptation Shape Conversational Information-Seeking Experiences
Conversational AI, such as ChatGPT, is increasingly used for information seeking. However, little is known about how ordinary users actually prompt and how ChatGPT adapts its responses in real-world conversational information seeking (CIS). In this study, a nationally representative sample of 937 U.S. adults engaged in multi-turn CIS with ChatGPT on both controversial and non-controversial topics across science, health, and policy contexts. We analyzed both user prompting strategies and the com…

I fear we have achieved government of the wealthy, by the wealthy, for the wealthy.
Even the Democrats have a large number of very wealthy politicians, listening to their confidants and not actually listening to the concerns of ordinary mortals. When on a monied pedestal it's hard to see the concerns of those with limited resources.
A #plutocracy is not a great state of affairs…

Heterogeneous immune recovery after viral response through a dynamical model of feedback-driven persistence and clearance
Xiaoxin Wang, Kai Kang, Leyi Zhang, Changjing Zhuge
https://arxiv.org/abs/2510.05161

Heterogeneous immune recovery after viral response through a dynamical model of feedback-driven persistence and clearance
Viral infections trigger complex immune responses with heterogeneous outcomes shaped by nonlinear feedbacks. An ordinary differential equation model is developed to investigate immune response dynamics during viral infection, incorporating six modules: viral load, innate immunity, cellular immunity, humoral immunity, immune suppression, and IL-6 levels. Bifurcation analysis reveals that under continuous viral exposure, when viral clearance rate and intrinsic viral death rate satisfy specific co…

"The ultra-wealthy no longer wait in lines, navigate public institutions, or share community space with ordinary Americans. And that’s the real danger: once the richest begin living outside the civic sphere, they stop caring whether the rest of society works at all. A nation where the wealthy secede into a private realm is a nation confronting oligarchy."
**This unspoken threat is hastening America's downfall — and it's not MAGA** - Raw Story
https://archive.ph/ZBnaK#selection-845.71-863.167

Crosslisted article(s) found for cs.CG. https://arxiv.org/list/cs.CG/new
[1/1]:
- Note on the Number of Almost Ordinary Triangles
Adrian Dumitrescu, J\'anos Pach

🐮 A once-in-a-generation discovery is transforming a Michigan dairy farm
#michigan

A once-in-a-generation discovery is transforming a Michigan dairy farm
At first glance, the 400 acres of soybeans growing on the Preston family's dairy farm in southern Michigan looks like a typical field. But these aren't ordinary soybeans. They represent a breakthrough partnership with Michigan State University that's saving the family tens of thousands of dollars a month in livestock feed costs—and it could change the dairy industry forever.

Involutive Brauer groups and Poincar\'e rings
Viktor Burghardt, Noah Riggenbach, Lucy Yang
https://arxiv.org/abs/2509.25737 https://arxiv.org/pdf/2509.…

Involutive Brauer groups and Poincaré rings
We use the formalism of Poincaré $ \infty $-categories, as developed by Calmès-Dotto-Harpaz-Hebestreit-Land-Moi-Nardin-Nikolaus-Steimle, to define and study moduli stacks of line bundles with $ λ$-hermitian pairings and of Morita equivalence classes of Azumaya algebras equipped with an involution. Our moduli spaces give rise to enhancements of the ordinary Picard and Brauer groups which incorporate the data of an involution on the base; we will refer to these new invariants as the Poincaré …

Topological Hall Effect in PrSb$_2$
Shingo Araki, Hinata Izumida, Kazuto Akiba, Tatsuo C. Kobayashi, Takashi Kambe
https://arxiv.org/abs/2510.06570 https://

Topological Hall Effect in PrSb$_2$
PrSb$_2$ exhibits a charge-density wave (CDW) transition at $T_\mathrm{CDW} = 100$ K and antiferromagnetic (AFM) ordering at $T_\mathrm{N} = 5$ K at ambient pressure. Hall resistivity measurements revealed an anomalous feature within the AFM state, which was attributed to the topological Hall effect (THE), ruling out contributions from the ordinary and anomalous Hall effects. Significantly, the THE anomaly diminished with increasing pressure and almost vanished as the CDW transition was suppres…

Interband optical conductivity in two-dimensional semi-Dirac bands tilting along the quadratic dispersion
Xin Chen, Jian-Tong Hou, Long Liang, Jie Lu, Hong Guo, Chang-Xu Yan, Hao-Ran Chang
https://arxiv.org/abs/2510.06591

Interband optical conductivity in two-dimensional semi-Dirac bands tilting along the quadratic dispersion
Two-dimensional (2D) semi-Dirac materials feature a unique anisotropic band structure characterized by quadratic dispersion along one spatial direction and linear dispersion along the other, effectively hybridizing ordinary and Dirac fermions. The anisotropy of energy dispersion can be further modulated through band tilting along either spatial direction of the wave vector. We propose a new definition of tilt parameter to characterize Lifshitz phases in 2D semi-Dirac bands tilting along the qua…

Physics-Informed Machine Learning in Biomedical Science and Engineering
Nazanin Ahmadi, Qianying Cao, Jay D. Humphrey, George Em Karniadakis
https://arxiv.org/abs/2510.05433 htt…

Physics-Informed Machine Learning in Biomedical Science and Engineering
Physics-informed machine learning (PIML) is emerging as a potentially transformative paradigm for modeling complex biomedical systems by integrating parameterized physical laws with data-driven methods. Here, we review three main classes of PIML frameworks: physics-informed neural networks (PINNs), neural ordinary differential equations (NODEs), and neural operators (NOs), highlighting their growing role in biomedical science and engineering. We begin with PINNs, which embed governing equations…

Analyzing Computational Approaches for Differential Equations: A Study of MATLAB, Mathematica, and Maple
Arhonefe Joseph Ogethakpo, Ignatius Nkonyeasua Njoseh
https://arxiv.org/abs/2510.02346

Analyzing Computational Approaches for Differential Equations: A Study of MATLAB, Mathematica, and Maple
Differential equations are fundamental to modeling dynamic systems in physics, engineering, biology, and economics. While analytical solutions are ideal, most real-world problems necessitate numerical approaches. This study conducts a detailed comparative analysis of three leading computational software packages: MATLAB, Mathematica, and Maple in solving various differential equations, including ordinary differential equations (ODEs), partial differential equations (PDEs), and systems of differ…

Asymptotic Expansion for Nonlinear Filtering in the Small System Noise Regime
Masahiro Kurisaki
https://arxiv.org/abs/2509.23920 https://arxiv.org/pdf/2509…

Asymptotic Expansion for Nonlinear Filtering in the Small System Noise Regime
We propose a new asymptotic expansion method for nonlinear filtering, based on a small parameter in the system noise. The conditional expectation is expanded as a power series in the noise level, with each coefficient computed by solving a system of ordinary differential equations. This approach mitigates the trade-off between computational efficiency and accuracy inherent in existing methods such as Gaussian approximations and particle filters. Moreover, by incorporating an Edgeworth-type expa…

$\Lambda_b\to\Lambda^{(*)}\nu{\bar\nu}$ and $b\to s$ $B$ decays
Jong-Phil Lee
https://arxiv.org/abs/2509.26370 https://arxiv.org/pdf/2509.26370

$Λ_b\toΛ^{(*)}ν{\barν}$ and $b\to s$ $B$ decays
The baryonic $b\to s$ transition $Λ_b\toΛ^{(*)}ν{\barν}$ is analyzed. We combine the mesonic counterpart $B^+\to K^+ν{\barν}$ and $B^0\to K^{*0}ν{\barν}$ as well as other observables involving $B$ mesons like $R(K^{(*)})$, ${\rm Br}(B_s\toμ^+μ^-)$, ${\rm Br}(B^+\to K^+μ^+μ^-)$, and $P_5'(B^+\to K^{*+}μ^+μ^-)$. We find that the new physics scale $M_{\rm NP}$ to be $2.04~{\rm TeV}\le M_{\rm NP} \le 11.76~{\rm TeV}$ (at $1σ$) for ordinary heavy new mediators. Our predictions for the…

Hyperparameters are all you need: Using five-step inference for an original diffusion model to generate images comparable to the latest distillation model
Zilai Li
https://arxiv.org/abs/2510.02390

Hyperparameters are all you need: Using five-step inference for an original diffusion model to generate images comparable to the latest distillation model
The diffusion model is a state-of-the-art generative model that generates an image by applying a neural network iteratively. Moreover, this generation process is regarded as an algorithm solving an ordinary differential equation or a stochastic differential equation. Based on the analysis of the truncation error of the diffusion ODE and SDE, our study proposes a training-free algorithm that generates high-quality 512 x 512 and 1024 x 1024 images in eight steps, with flexible guidance scales. To…

Analysis of a Spatialized Brain-Body-Environment System
Denizhan Pak, Quan Le Thien, Christopher J. Agostino
https://arxiv.org/abs/2509.25640 https://arxiv…

Analysis of a Spatialized Brain-Body-Environment System
The brain-body-environment framework studies adaptive be- havior through embodied and situated agents, emphasizing interactions between brains, biomechanics, and environmen- tal dynamics. However, many models often treat the brain as a network of coupled ordinary differential equations (ODEs), neglecting finer spatial properties which can not only increase model complexity but also constrain observable neural dy- namics. To address this limitation, we propose a spatially ex- tended approach usi…

Zero variance self-normalized importance sampling via estimating equations
Art B. Owen
https://arxiv.org/abs/2510.00389 https://arxiv.org/pdf/2510.00389

Zero variance self-normalized importance sampling via estimating equations
In ordinary importance sampling with a nonnegative integrand there exists an importance sampling strategy with zero variance. Practical sampling strategies are often based on approximating that optimal solution, potentially approaching zero variance. There is a positivisation extension of that method to handle integrands that take both positive and negative values. Self-normalized importance sampling uses a ratio estimate, for which the optimal sampler does not have zero variance and so zero va…

The Brian\c{c}on-Skoda theorem for pseudo-rational and Du~Bois singularities
Linquan Ma, Peter M. McDonald, Rebecca R. G., Karl Schwede
https://arxiv.org/abs/2510.11540 https://…

The Briançon-Skoda theorem for pseudo-rational and Du~Bois singularities
Suppose $J = (f_1, \dots, f_n)$ is an $n$-generated ideal in a ring $R$. We prove a general Briançon-Skoda-type containment relating the integral closure of powers of $J$ with ordinary powers of $J$. We prove that our result implies the full standard Briançon-Skoda containment $\overline{J^{n+k-1}} \subseteq J^k$ for pseudo-rational singularities (for instance regular rings), and even for the weaker condition of birational derived splinters. Our methods also yield the containment $\overline{J…

I fear we have achieved government of the wealthy, by the wealthy, for the wealthy.
Even the Democrats have a large number of very wealthy politicians, listening to their confidants and not actually listening to the concerns of ordinary mortals. When on a monied pedestal it's hard to see the concerns of those with limited resources.
A #plutocracy is not a great state of affairs…

"Asad Rehman, chief executive of Friends of the Earth, said:
“Kemi Badenoch’s desperate attempt to sound like Donald Trump on climate change is taking her party further away from the interests of future generations, businesses, and the needs of ordinary people.
"Millions of lives are already being ruined and nature is being pushed to the brink. An act of political vandalism of this scale will not be easily forgiven or forgotten."

Replacing Climate Change Act is political vandalism that would abandon future generations | Friends of the Earth
Kemi Badenoch’s plan to replace the Climate Change Act is anti-science, anti-business and turns its back on those at the sharp end of climate breakdown now and future generations, says Friends of the Earth.

🇺🇦 #NowPlaying on #BBC6Music's #CraigCharles
ESKA:
🎵 Magic Woman
#ESKA
https://eskaonline.bandcamp.com/album/the-ordinary-life-of-a-magic-woman
https://open.spotify.com/track/73aVGmfXYGBCMLEcmSOYpR

Validation of ERMES 20.0 finite element code for MAST Upgrade O-X mode conversion
Ruben Otin, Ying Hao Matthew Liang, Thomas Wilson, Simon Freethy, Valerian Hall-Chen
https://arxiv.org/abs/2509.26357

Validation of ERMES 20.0 finite element code for MAST Upgrade O-X mode conversion
This study presents the validation of the frequency-domain finite element code ERMES 20.0, benchmarked against Finite Difference Time Domain (FDTD) solvers. The simulations focus on Ordinary-Extraordinary (O-X) mode conversion in the Electron Bernstein Wave (EBW) regime of the MAST Upgrade experiment. Validation is performed in terms of mode conversion efficiency and wave propagation characteristics. Several finite element formulations are tested and compared with the FDTD results. The simulati…

A Backstepping-KKL observer for a cascade of a nonlinear ODE with a heat equation
Adam Braun (L2S), Lucas Brivadis (L2S), Jean Auriol (L2S)
https://arxiv.org/abs/2510.04941 http…

A Backstepping-KKL observer for a cascade of a nonlinear ODE with a heat equation
We propose an observer design for a cascaded system composed of an arbitrary nonlinear ordinary differential equation (ODE) with a 1D heat equation. The nonlinear output of the ODE imposes a boundary condition on one side of the heat equation, while the measured output is on the other side. The observer design combines an infinitedimensional Kazantzis-Kravaris/Luenberger (KKL) observer for the ODE with a backstepping observer for the heat equation. This construction is the first extension of th…

Replaced article(s) found for nlin.SI. https://arxiv.org/list/nlin.SI/new
[1/1]:
- Symmetry Approach to Integration of Ordinary Differential Equations with Retarded Argument
Vladimir Dorodnitsyn, Roman Kozlov, Sergey Meleshko
https://arxiv.org/abs/2510.25391 https://mastoxiv.page/@arXiv_nlinSI_bot/115462039736354475
toXiv_bot_toot

Like Playing a Video Game: Spatial-Temporal Optimization of Foot Trajectories for Controlled Football Kicking in Bipedal Robots
Wanyue Li, Ji Ma, Minghao Lu, Peng Lu
https://arxiv.org/abs/2510.01843

Like Playing a Video Game: Spatial-Temporal Optimization of Foot Trajectories for Controlled Football Kicking in Bipedal Robots
Humanoid robot soccer presents several challenges, particularly in maintaining system stability during aggressive kicking motions while achieving precise ball trajectory control. Current solutions, whether traditional position-based control methods or reinforcement learning (RL) approaches, exhibit significant limitations. Model predictive control (MPC) is a prevalent approach for ordinary quadruped and biped robots. While MPC has demonstrated advantages in legged robots, existing studies often…

Dynamical Systems Models for Market Evolution: A Mechanistic Alternative to Autoregressive Methods
Aparna Komarla, Max Hill
https://arxiv.org/abs/2510.06778 https://

Dynamical Systems Models for Market Evolution: A Mechanistic Alternative to Autoregressive Methods
We present a novel approach to modeling market dynamics using ordinary differential equations that explicitly incorporates product competitiveness and consumer behavior. Our framework treats market segments as interacting populations in a dynamical system analogous to predator-prey models, where competitive advantages drive market share transitions through mechanistic modeling of market flows including new product adoption, refresh cycles, and obsolescence dynamics.

Crosslisted article(s) found for cs.DM. https://arxiv.org/list/cs.DM/new
[1/1]:
- Note on the Number of Almost Ordinary Triangles
Adrian Dumitrescu, J\'anos Pach

Parametric Sensitivity Analysis: Local and Global Approaches in Stochastic Biochemical Models
Kannon Hossain, Roger Sidje, Fahad Mostafa
https://arxiv.org/abs/2510.10416 https:/…

Parametric Sensitivity Analysis: Local and Global Approaches in Stochastic Biochemical Models
The recent advancements in mathematical modeling of biochemical systems have generated increased interest in sensitivity analysis methodologies. There are two primary approaches for analyzing these mathematical models: the stochastic approach, which employs chemical master equations (CME), and the deterministic approach, which utilizes ordinary differential equations (ODEs). The intractable discrete states present in most biochemical processes render the direct simulation of the CME infeasible.…

"Wherever we looked for the prominent flaggers and leaders of this movement, we found people smugglers and sex doll salesmen, people with dubious criminal pasts and people willing to put in a good word for Adolf Hitler. Farage told us the flag-raisers were just ordinary folk sticking it to the system. A few months worth of local journalism later, that now looks like a shaky claim."
The men who raised the flags

The men who raised the flags
Nigel Farage says this summer’s movement was led by ‘ordinary people’ expressing their patriotism. That’s not what we found

Motivic Classes of Isotropic Degeneracy Loci and Symmetric Orbit Closures
Minyoung Jeon
https://arxiv.org/abs/2509.24348 https://arxiv.org/pdf/2509.24348…

Motivic Classes of Isotropic Degeneracy Loci and Symmetric Orbit Closures
We provide explicit formulas for computing the motivic Chern and Hirzebruch classes of degeneracy loci, especially those coming from the symplectic and odd orthogonal Grassmannians. The Chern--Schwartz--MacPherson classes, K-theory classes, and Cappell--Shaneson L-classes arise as specializations of the motivic Chern and Hirzebruch classes. Our result is the analogue of the result of Anderson--Chen--Tarasca for the degeneracy loci from the ordinary Grassmannians. As applications, we obtain the …

🇺🇦 #NowPlaying on #BBC6Music's #TheCraigCharlesFunkAndSoulShow
Terry Callier:
🎵 Ordinary Joe
#TerryCallier
https://telledits.bandcamp.com/track/terry-callier-ordinary-joe-jonas-wasting-time-edit
https://open.spotify.com/track/6AkGkimvrVzVe8Btgy0FRL

A New Partial State-Feedback IDA-PBC for Two-Dimensional Nonlinear Systems: Application to Power Converters with Experimental Results
Rafael Cisneros, Leyan Fang, Wei He, Romeo Ortega
https://arxiv.org/abs/2510.01425

A New Partial State-Feedback IDA-PBC for Two-Dimensional Nonlinear Systems: Application to Power Converters with Experimental Results
In this paper we propose a variation of the widely popular Interconnection-and-Damping-Assigment Passivity-Based Control (IDA-PBC) based on Poincare's Lemma to design output feedback globally stabilizing controllers for two dimensional systems. The procedure is constructive and, in comparison with the classical IDA-PBC, whose application is often stymied by the need to solve the (infamous) matching partial differential equation (PDE), in this new method the PDE is replaced by an ordinary differ…

Repulsive-Interaction-Driven Topological Superconductivity in a Landau Level Coupled to an $s$-Wave Superconductor
Koji Kudo, Ryota Nakai, Hiroki Isobe, J. K. Jain, Kentaro Nomura
https://arxiv.org/abs/2510.04700

Repulsive-Interaction-Driven Topological Superconductivity in a Landau Level Coupled to an $s$-Wave Superconductor
A two-dimensional topologically nontrivial state of noninteracting electrons, such as the surface state of a three-dimensional topological insulator, is predicted to realize a topological superconductor when proximity-coupled to an ordinary $s$-wave superconductor. In contrast, noninteracting electrons partially occupying a Landau level, with Rashba spin-orbit coupling that lifts the spin degeneracy, fail to develop topological superconductivity under similar proximity coupling in the presence …

Overlapping Schwarz Scheme for Linear-Quadratic Programs in Continuous Time
Hongli Zhao, Mihai Anitescu, Sen Na
https://arxiv.org/abs/2510.04478 https://ar…

Overlapping Schwarz Scheme for Linear-Quadratic Programs in Continuous Time
We present an optimize-then-discretize framework for solving linear-quadratic optimal control problems (OCP) governed by time-inhomogeneous ordinary differential equations (ODEs). Our method employs a modified overlapping Schwarz decomposition based on the Pontryagin Minimum Principle, partitioning the temporal domain into overlapping intervals and independently solving Hamiltonian systems in continuous time. We demonstrate that the convergence is ensured by appropriately updating the boundary …

Mark Kelly thought he was merely stating the obvious.
Earlier this month, the Arizona senator joined five other congressional Democrats to film a message addressed to members of the military.
“You can refuse illegal orders.
You must refuse illegal orders,” they said.
An ordinary president, Kelly told us on Tuesday afternoon, would have responded to the video by affirming that troops should of course follow lawful orders.
“But not this guy,” he added.
“We b…

Trump’s War on Military Justice
The pursuit of Mark Kelly in the military-justice system sends a clear message to service members and veterans.

Admissible set and squarefree-power-like function with applications to squarefree symbolic powers
Trung Chau, Kanoy Kumar Das, Amit Roy, Kamalesh Saha
https://arxiv.org/abs/2510.01366

Admissible set and squarefree-power-like function with applications to squarefree symbolic powers
We introduce the abstract notion of squarefree-power-like functions, which unify the sequences of squarefree ordinary and symbolic powers of squarefree monomial ideals. By employing the Tor-vanishing criteria for mixed sums of ideals, we establish sharp lower bounds for their Castelnuovo-Mumford regularity in terms of what we call the admissible set of the associated hypergraph. As an application, we derive the first general combinatorial lower bound for the regularity of squarefree symbolic po…

Revealing the temporal dynamics of antibiotic anomalies in the infant gut microbiome with neural jump ODEs
Anja Adamov, Markus Chardonnet, Florian Krach, Jakob Heiss, Josef Teichmann, Nicholas A. Bokulich
https://arxiv.org/abs/2510.00087

Revealing the temporal dynamics of antibiotic anomalies in the infant gut microbiome with neural jump ODEs
Detecting anomalies in irregularly sampled multi-variate time-series is challenging, especially in data-scarce settings. Here we introduce an anomaly detection framework for irregularly sampled time-series that leverages neural jump ordinary differential equations (NJODEs). The method infers conditional mean and variance trajectories in a fully path dependent way and computes anomaly scores. On synthetic data containing jump, drift, diffusion, and noise anomalies, the framework accurately ident…

Geometric structure of stationary problem for spatial 1D self-diffusion equation with logistic growth
Yu ICHIDA
https://arxiv.org/abs/2509.24752 https://ar…

Geometric structure of stationary problem for spatial 1D self-diffusion equation with logistic growth
This paper considers the solution structure of non-trivial, non-constant stationary states of 1D spatial parabolic equations with nonlinear self-diffusion and logistic growth terms. A two-dimensional ordinary differential equation satisfying the stationary problem is derived and all its dynamics, including to infinity, is revealed by the Poincaré-Lyapunov compactification, one of the compactifications of phase space. The advantage of this method is that it can be used to classify all dynamical…

Continuum Fractons: Quantization and the Many Body Problem
Ylias Sadki, Abhishodh Prakash, S. L. Sondhi
https://arxiv.org/abs/2510.00110 https://arxiv.org/…

Continuum Fractons: Quantization and the Many Body Problem
We formulate a continuum quantum mechanics for non-relativistic, dipole-conserving fractons. Imposing symmetries and locality results in novel phenomena absent in ordinary quantum mechanical systems. A single fracton has a vanishing Hamiltonian, and thus its spectrum is entirely composed of zero modes. For the two-body problem, the Hamiltonian is perfectly described by Sturm--Liouville (SL) theory. The effective two-body Hamiltonian is an SL operator on $(-1,1)$ whose spectral type is set by th…

🇺🇦 #NowPlaying on #BBC6Music's #6MusicsIndieForever
Toro y Moi:
🎵 Ordinary Pleasure
#ToroyMoi
https://toroymoi.bandcamp.com/track/ordinary-pleasure
https://open.spotify.com/track/6SlYQ2fAKWSfHEHNhH2kgM