Tootfinder

It might be cool to see this reading list as a @… -ish fedifeed
A Man Read 3,599 Books Over 60 Years, and Now His Family Has Shared the Entire List Online | Open Culture

A Man Read 3,599 Books Over 60 Years, and Now His Family Has Shared the Entire List Online
Dan Pelzer died earlier this year at the age of 92, leaving behind a handwritten list of all the books he'd read since 1962. His family had it digitized, put it online, and now it's gone viral, somewhat to the surprise of those of us who'd never heard of him before.

It’s the fucking rainbows, moron.
Gift article.
Kennedy Center drops family that made Honors medallions for 47 years
“It is unclear what changes the center hopes to make to the medallions”
https://wapo.st/4oDMnG8

Kennedy Center drops family that made Honors medallions for 47 years
The arts center has contacted the jeweler Tiffany & Company to redesign the award.

Earlier this week, Peter Gutmann and @… published a bombshell paper: The looked at all the reported factorization "breakthroughs" in quantum computing. And found that all of them essentially were magician's tricks, "sleight of hand".
The two reconstructed the algorithms used on a 1981 home computer (a million times less powerful than what you…

Hi everyone,
@joynewacc and I had the honour of speaking to three lovely people from Gaza today over video chat on Signal and we’d like to welcome them to the Gaza Verified family:
• Yasmeen (@…)
• Bilal (@…)
• Ahmed …

Gaza Verified
I’ve personally had video conversations on Signal with the people from Gaza whose Mastodon accounts on the fediverse are listed here and I verify that their accounts are genuine. – Aral Balkan

Wow. RIP Ace. One of the first to inspire me to play.
Still remember flipping through the TV channels randomly and stumbling on a KISS concert, being blown away by the guitar bursting into flames during a solo and rising out of his hands into the rafters.
#kiss #AceFrehley

ACE FREHLEY Dead At 74
Original KISS guitarist Ace Frehley has died at the age of 74. The news of his passing comes just hours after TMZ.com reported that the musician was hospitalized on life support after he suffered a brain bleed when he took a fall in his studio a couple weeks ago. Frehley's family issued the followin...

New examples of words for which the binomial complexities and the subword complexity coincide
L\'eo Vivion
https://arxiv.org/abs/2509.11172 https://arx…

New examples of words for which the binomial complexities and the subword complexity coincide
The complexity of an infinite word can be measured in several ways, the two most common measures being the subword complexity and the abelian complexity. In 2015, Rigo and Salimov introduced a family of intermediate complexities indexed by $k\in\mathbb{N}_{>0}$: the $k$-binomial complexities. These complexities scale up from the abelian complexity, with which the $1$-binomial complexity coincides, to the subword complexity, to which they converge pointwise as $k$ tends to $\infty$. In this arti…

How UAE's $2B investment in Trump family's WLF is linked to the deal allowing the UAE's G42 to access AI chips, in which David Sacks played a key role (New York Times)
https://www.nytimes.com/2025/09/15/u…

In Giant Deals, U.A.E. Got Chips, and Trump Team Got Crypto Riches
A lucrative transaction involving the Trump family’s cryptocurrency firm and an agreement giving the Emiratis access to A.I. chips were connected in ways that have not been previously reported.

Stairs in the Breazzano Family Center for Business Education which is part of the Johnson School of Business but is out in Collegetown away from the main campus
#photo #photography #architecture

The Times and The Sun removed stories about a "royal cleaner" who claimed to have worked for the Royal Family, published based on questionable press releases (Rob Waugh/Press Gazette)
https://pressgazette.co.uk/news/royal-

Royal cleaner stories removed by Times and Sun after authenticity questions
Stories featuring a ‘royal cleaner’ who claimed to have worked for the Royals have been withdrawn over questions about their authenticity.

Discontinuous Galerkin approximation for a Stokes-Brinkman-type formulation for the eigenvalue problem in porous media
Felipe Lepe, Gonzalo Rivera, Jesus Vellojin
https://arxiv.org/abs/2507.11695

Discontinuous Galerkin approximation for a Stokes-Brinkman-type formulation for the eigenvalue problem in porous media
We introduce a family of discontinuous Galerkin methods to approximate the eigenvalues and eigenfunctions of a Stokes-Brinkman type of problem based in the interior penalty strategy. Under the standard assumptions on the meshes and a suitable norm, we prove the stability of the discrete scheme. Due to the non-conforming nature of the method, we use the well-known non-compact operators theory to derive convergence and error estimates for the method. We present an exhaustive computational analysi…

A thermofield-double model of Uhlmann anholonomy
P\'eter L\'evay, Csaba Velich
https://arxiv.org/abs/2507.12071 https://arxiv…

A thermofield-double model of Uhlmann anholonomy
A simple parametrized family of quantum systems consisting of two entangled subsystems, dubbed left and right ones, both of them featuring N qubits is considered in the thermofield double formalism. We assume that the system evolves in a purely geometric manner based on the parallel transport condition due to Uhlmann. We explore the different interpretations of this evolution relative to observers either coupled to the left or to the right subsystems. The Uhlmann condition breaks the symmetry b…

Nonlinear stability of the Larson-Penston collapse
Yan Guo, Mahir Hadzic, Juhi Jang, Matthew Schrecker
https://arxiv.org/abs/2509.12435 https://arxiv.org/p…

Nonlinear stability of the Larson-Penston collapse
We prove nonlinear stability of the Larson-Penston family of self-similarly collapsing solutions to the isothermal Euler-Poisson system. Our result applies to radially symmetric perturbations and it is the first full nonlinear stability result for radially imploding compressible flows. At the heart of the proof is the ground state character of the Larson-Penston solution, which exhibits important global monotonicity properties used throughout the proof. One of the key challenges is the proof …

The integral Hasse principle for stacky curves associated to a family of generalized Fermat equations
Juanita Duque-Rosero, Christopher Keyes, Andrew Kobin, Manami Roy, Soumya Sankar, Yidi Wang
https://arxiv.org/abs/2509.13248

The integral Hasse principle for stacky curves associated to a family of generalized Fermat equations
We characterize the integral Hasse principle for an infinite family of spherical stacky curves with genus $g\in [2/3,1)$ that are defined using generalized Fermat equations, extending a result of Darmon and Granville. We then apply our methods to find that a positive proportion of curves in our family satisfy the integral Hasse principle.

Brock Bowers family tree: Meet football dad Warren, softball mom DeAnna and more from athletic roots https://www.sportingnews.com/us/nfl/news/brock-bowers-family-tree-dad-warren-softball-mom-deanna/db016369272e0b92f5d084ab…

Signal’s Secure Backups sounds like it uses the same mechanism that @… and I designed for completely private (yet company-stored) backups when we were at Matter.
They don’t (and we didn’t) get any of the user’s information, but they’re still able to store the backup data, opaquely, on their servers.

Introducing Signal Secure Backups
In the past, if you broke or lost your phone, your Signal message history was gone. This has been a challenge for people whose most important conversations happen on Signal. Think family photos, sweet messages, important documents, or anything else you don’t want to lose forever. This explains wh...

The US right has increased its influence on mainstream media in America in recent weeks,
especially in television news which has been a major target of the Donald Trump administration.
CBS News
– once home to legends of US journalism like Walter Cronkite and Edward R Murrow
– installed a Trump ally as its ombudsman,
weeks after the family of Larry Ellison, one of the world’s richest men, and a friend of the US president, sealed control over Paramount, the owner …

I am in awe
The animation
the storytelling
The drama
https://youtu.be/DxiMRnqWSQE

Family seeks justice for man wrongly accused in KC Chiefs parade shooting https://www.espn.com/nfl/story/_/id/46545176/kansas-city-chiefs-super-bowl-parade-rally-fatal-shooting-denton-loudermill-family

Exact alternative optima for nonlinear optimization problems defined with maximum component objective function constrained by the Sugeno-Weber fuzzy relational inequalities
Amin Ghodousian, Sara Zal, Minoo Ahmadi
https://arxiv.org/abs/2509.12669

Exact alternative optima for nonlinear optimization problems defined with maximum component objective function constrained by the Sugeno-Weber fuzzy relational inequalities
In this paper, we study a latticized optimization problem with fuzzy relational inequality constraints where the feasible region is formed as the intersection of two inequality fuzzy systems and Sugeno-Weber family of t-norms is considered as fuzzy composition. Sugeno-Weber family of t-norms and t-conorms is one of the most applied one in various fuzzy modelling problems. This family of t-norms and t-conorms was suggested by Weber for modeling intersection and union of fuzzy sets. Also, the t-c…

How the US democracy is designed to avoid representation
Right now in the US, a system which proclaims to give each citizen representation, my interests are not represented very well by most of my so-called representatives at any level of government. This is true for a majority of Americans across the political spectrum, and it happens by design. The "founding fathers" were explicit about wanting a system of government that would appear Democratic but which would keep power in the hands of rich white landowners, and they successfully designed exactly that. But how does disenfranchisement work in this system?
First, a two-party system locked in by first-post-the-post winner-takes-all elections immediately destroys representation for everyone who didn't vote for the winner, including those who didn't vote or weren't eligible to vote. Single-day non-holiday elections and prisoner disenfranchisement go a long way towards ensuring working-class people get no say, but much larger is the winner-takes all system. In fact, even people who vote for the winning candidate don't get effective representation if they're really just voting against the opponent as the greater of two evils. In a 51/49 election with 50% turnout, you've immediately ensured that ~75% of eligible voters don't get represented, and with lesser-of-two-evils voting, you create an even wider gap to wedge corporate interests into. Politicians need money to saturate their lesser-of-two-evils message far more than they need to convince any individual voter to support their policies. It's even okay if they get caught lying, cheating, or worse (cough Epstein cough) as long as the other side is also doing those things and you can freeze out new parties.
Second, by design the Senate ensures uneven representation, allowing control of the least-populous half of states to control or at least shut down the legislative process. A rough count suggests 284.6 million live in the 25 most-populous states, while only 54.8 million live in the rest. Currently, counting states with divided representation as two half-states with half as much population, 157.8 million people are represented by 53 Republican sensors, while 180.5 million people get only 45 seats of Democratic representation. This isn't an anti-Democrat bias, it's a bias towards less-populous states, whose residents get more than their share it political power.
I haven't even talked about gerrymandering yet, or family/faith-based "party loyalty," etc. Overall, the effect is that the number of people whose elected representatives meaningfully represent their interests on any given issue is vanishingly small (like, 10% of people tops), unless you happen to be rich enough to purchase lobbying power or direct access.
If we look at polls, we can see how lack of representation lets congress & the president enact many policies that go against what a majority of the population wants. Things like abortion restrictions, the current ICE raids, and Medicare cuts are deeply unpopular, but they benefit the political class and those who can buy access. These are possible because the system ensures at every step of the way that ordinary people do NOT get the one thing the system promises them: representation in the halls of power.
Okay, but is this a feature of all democracies, inherent in the nature of a majority-decides system? Not exactly...
1/2
#uspol #democracy

The #Trump_Tariff_Inflation is affecting more than one industry - and for no benefit to anyone.
If the #GOP actually wanted to support small business, they'd be letting their constituents know how the #tariffs

The #Trump_Tariff_Inflation is affecting more than one industry - and for no benefit to anyone.
If the #GOP actually wanted to support small business, they'd be letting their constituents know how the #tariffs

Implementation of Learning with Errors in Non-Commuting Multiplicative Groups
Aleksejus Mihalkovi\v{c}, Lina Dindiene, Eligijus Sakalauskas
https://arxiv.org/abs/2509.11237 http…

Implementation of Learning with Errors in Non-Commuting Multiplicative Groups
In this paper, we demonstrate a way to generalize learning with errors (LWE) to the family of so-called modular-maximal cyclic groups which are non-commuting. Since the group M2t has two cycles of maximal multiplicative order, we use this fact to construct an accurate criterion for restoring the message bit with overwhelming probability. Furthermore, we implement the original idea by O. Regev in the considered group to gain benefits from the non-commutativity of M2t . Also we prove that using t…

Long time no listen to this fabulous track, today on repeat:
John Heckle - Inhuman Nature (Vercetti Technicolor's Undead Nature Remix, 2014)
https://www.youtube.com/watch?v=K0gXkKW0MR8

Desperate Kash Patel Asks Shooter's Family If They Can Solve Any Other Cases (The Onion)
https://theonion.com/desperate-kash-patel-asks-shooters-family-if-they-can-solve-any-other-cases/
http://www.memeorandum.com/250916/p1#a250916p1

Hi everyone,
@… and I had the honour of speaking to four lovely people from Gaza today over video chat on Signal and we’d like to welcome them to the Gaza Verified family:
• @…
• @…

Gaza Verified
I’ve personally had video conversations on Signal with the people from Gaza whose Mastodon accounts on the fediverse are listed here and I verify that their accounts are genuine. – Aral Balkan

Neural networks in the search for fast radio bursts with RATAN-600
D. O. Kudryavtsev, S. A. Trushkin, P. G. Tsybulev, V. A. Stolyarov
https://arxiv.org/abs/2509.11215 https://…

Neural networks in the search for fast radio bursts with RATAN-600
We present a technique to search for fast radio bursts in records obtained with broadband radiometers having few radio channels. The technique is applied to the RATAN-600 surveys carried out at its Western Sector since the year 2017. A 1D convolutional neural network for multichannel time series classification is developed based on the EfficientNet family of models. The procedure to generate synthetic FRB signals needed for the training dataset is described. We implement a two-stage cascade sch…

I can't come across a document in the "Cool URIs" family and not share it: https://datacite.org/blog/cool-dois/

Cool DOI's - DataCite
In 1998 Tim Berners-Lee coined the term cool URIs [-@https://www.w3.org/Provider/Style/URI], that is URIs that don’t change. We know that URLs referenced in the scholarly literature are often not cool, leading […]

Listening to CBC Radio Barrie this morning and they were interviewing the manager responsible for housing starts for the Town of Innisfil. The discussion was about missed targets for housing starts and what can be done to get back on track. You could tell that he was frustrated, but the reason for less homes being built was almost solely put on the downturn in the housing market. No one is buying, so private industry isn't building.
All levels of government are throwing money at the problem, with most of it incentivizing for-profit companies to put shovels in the ground. At some point, the Federal, Provincial, and Municipal governments have to realize that public housing, government leasehold development, co-operative housing, or subsidized family apartments must be considered to solve the housing shortage. Private industry will never have the same objectives of getting families into homes - without a calculation of significant profits first.
#CanPoli #AffordableHousing

Charter schools are a money grab designed to destroy public education. An excuse to shovel public money into the pockets of people with big ideas about education that mostly don't work.
The irony is that the one thing almost all critics of education agree on is that too much money is spent on administrative/managerial staff. https://

Quantum state spectrum and field theory of D$0$-brane
Igor Bandos, Unai D. M. Sarraga, Mirian Tsulaia
https://arxiv.org/abs/2509.11324 https://arxiv.org/pd…

Quantum state spectrum and field theory of D$0$-brane
We quantize D$0$-brane, the simplest representative of the family of supersymmetric Dirichlet p-branes, in its spinor moving frame formulation and analyze its quantum state spectrum. Besides being a preparatory stage for quantization of the complete supersymmetric multiple D$0$-brane (mD$0$) model, which is presently known only in the frame of spinor moving frame formalism, this is interesting as its own: despite the covariant quantization of D=10 D$0$-brane was discussed before, its quantum st…

And when I'm talking about understanding the drives to violence, I did write about something similar recently.
https://write.as/hexmhell/algorithmic-violence
The drives behind this and the shooting last week are pretty radically different, but there's some overlap. People like Kirk are part a huge political machine slowly crushing people all over the world. There's a hopeless rage that would naturally drive even the most calm person to the edge of violence. You can't look at the world honestly and be OK. We want to do something. We want to react. But everything we do is silenced or must rmain silent. So it's easy to understand why someone might choose violence. Very different situation, but everyone is subject to the same national and international influences.
I don't promote violence, not because I disagree with it but because I think it's expensive. It takes time to plan, especially for those trying to get away. Guns are not cheap, nor are bullets, nor is the range time you need to get somewhat good under pressure. It's not cheap for the person doing it, and it's not cheap for the community that has to clean up. The community will face police repression (which, if we're honest, was gonna come anyway). The community will have to post bail, will lose a person for a while, will need to support the family, will go to hearings, will write reports, will do interviews.
Sun Tzu said that deploying one soldier to the front takes 7 in the field. Logistics are a huge invisible cost. Some of that time and energy could be reused. It's never bad to be armed and able to defend if needed. But a lot of that energy and time would be better spent planning a community pantry, a tool library, organizing a union, etc. We are living in a disaster, and we need to invest in thriving through the next crumble.
Kirk is replacable. They're almost all replacable, because they don't really care about human life. We do, so none of us are. It's not really a worth while trade, IMHO.

35 yr old #SanFrancisco father stabbed to death in front of child while picking his son up at Commodore Sloat elementary school on Ocean Ave.
Suspect Daniel Patrick Rodriguez apparently committed violent act after a crosswalk altercation and was arrested after being located 170 miles out of town in #Tuolumne

we drove to negaunee ("iron city") and shopped a little. (i bought a 1963 henry mancini record and a 1930 pamphlet, "how to throw a party.")
negaunee has some cool old buildings.

Dallas Cowboys Cheerleader McKenna Gehrke hypes Family Feud appearance in BTS photos https://www.si.com/nfl/cowboys/news/dallas-cowboys-cheerleader-mckenna-gehrke-family-feud-appearance-bts-photos

"How animals are helping boost climate change awareness in Europe"
#Europe #Climate #ClimateChange

How animals are helping boost climate change awareness in Europe
An eco-family of hedgehogs, a sun-shy cat, and cuddly pet dogs are among the fresh new ways to raise awareness of extreme weather and climate change. Jeremy Wilks reports from the European Meteorological Society annual meeting in Ljubljana, Slovenia.

Permutation decoding of first-order Generalized Reed-Muller codes
Jos\'e Joaqu\'in Bernal, Juan Jacobo Sim\'on
https://arxiv.org/abs/2509.11757 https://

Permutation decoding of first-order Generalized Reed-Muller codes
In [4] we describe a variation of the classical permutation decoding algorithm that can be applied to any binary affine-invariant code; in particular, it can be applied to first-order Reed-Muller codes successfully. In this paper we study how to implement it for the family of first-order Generalized Reed-Muller codes. Then, we give examples which show that we improve the number of errors we can correct in comparison with the known results for this family of codes. Finally, we deal, from a proba…

Investigation: the Trump family's crypto empire has reaped over $1B in pre-tax profits over the past year; Eric Trump says the true figure is "probably more" (Financial Times)
https://www.ft.com/content/2ea2b35b-e009-42ed-b4d3-6b21aa9b2a13

When I was little, my family hired a dogsitter to feed my dog while the family was out of town. They forgot to, so my dog survived on corn & veggies in the garden.
I learned from her, so I embraced the corny early on...

On real functions with graphs either connected or locally connected
Gerald Kuba
https://arxiv.org/abs/2510.12450 https://arxiv.org/pdf/2510.12450

On real functions with graphs either connected or locally connected
Let S denote the family of all subspaces of the plane that are graphs of functions from the real line R to itself. We prove that S has two subfamilies G,H of spaces such that the cardinality of G is c (the cardinality of the continuum) and the cardinality of H is 2^c, every space in the family G is completely metrizable, each element of H is a dense subset of the plane and the elements of the union of G and H are pairwise non-embeddable (i.p. pairwise non-homeomorphic) subspaces of the plane. O…

Watching @… describe the corrosive, repellent and repugnant behavior of the USA, and the need for the rest of the world to work together to stop potus.
https://youtu.be/x7gbjs9…

Revealing superconducting gap in La$_3$Ni$_2$O$_7$-$\delta$ by Andreev reflection spectroscopy under high pressure
Jianning Guo, Yuzhi Chen, Yulong Wang, Hualei Sun, Deyuan Hu, Meng Wang, Xiaoli Huang, Tian Cui
https://arxiv.org/abs/2509.12601

Revealing superconducting gap in La$_3$Ni$_2$O$_7$-$δ$ by Andreev reflection spectroscopy under high pressure
The recent discovery of compressed superconductivity at 80~K in La$_3$Ni$_2$O$_7$-$δ$ has brought nickelates into the family of unconventional high-temperature superconductors. However, due to the challenges of directly probing the superconducting pairing mechanism under high pressure, the pairing symmetry and gap structures of nickelate superconductors remain under intense debate. In this work, we successfully determine the microscopic information on the superconducting gap structure of La$_3…

Masked paramilitary disappear a whole family outside the Fontana, CA Swap meet. The family, including a young child, has not been heard from since the video was posted of the kidnapping, (10/15/2025).
https://v.redd.it/0j6k3xurldvf1

Inverse curvature flows for capillary hypersurfaces in the unit ball
Shujing Pan, Bo Yang
https://arxiv.org/abs/2507.12097 https://ar…

Inverse curvature flows for capillary hypersurfaces in the unit ball
In this paper, we study inverse curvature flows for strictly convex, capillary hypersurfaces in the unit Euclidean ball. We establish the existence and convergence results for a class of such flows. As an application, we derive a family of Alexandrov Fenchel inequalities for weakly convex hypersurfaces with free boundary.

"It was a comment he couldn't take back, even though he deleted the words and never sent the email. School administrators saw it within an hour because of a monitoring software installed on school laptops."
I've had challenging kids and have dealt with school systems that don't give a fuck about protecting kids. They just hide behind the rules once they've decide you're a bad kid. I really feel for this guy. HE DIDN'T EVEN SEND THE EMAIL?!? Just p…

On a family of sums of powers of the floor function and their links with generalized Dedekind sums
Steven Brown
https://arxiv.org/abs/2507.11666 https://…

On a family of sums of powers of the floor function and their links with generalized Dedekind sums
In this paper we are concerned with a family of sums involving the floor function. With $r$ a non negative integer and $n$ and $m$ positive integers we consider the sums \begin{equation*}\mathbf{S}_{r}\left(n,m\right)=\sum_{k=1}^{n-1}{\left\lfloor \frac{km}{n}\right\rfloor}^r\end{equation*} While a formula for $\mathbf{S}_1$ is well known, we provide closed-form formulas for $\mathbf{S}_2$ and $\mathbf{S}_3$ as well as the reciprocity laws they satisfy. Additionally, one can find a closed-form …

FCC: "You need to do an RF exposure calculation for your barefoot 100W #HamRadio rig"
Urban climber: "Hold my beer"
https://www.reddit.com/r/urbanclimbing/s/tIGndPPCD0

Euler's explorations of extremal ellipses
Leonhard Euler (translator), Jonathan David Evans (translator)
https://arxiv.org/abs/2509.13173 https://arxiv…

Euler's explorations of extremal ellipses
In the 1770s, Euler wrote a series of papers (E563, E691 and E692) about finding the ellipse with minimal area or perimeter in the family of all ellipses passing through a fixed set of points. This is a translation of all three papers from the original Latin, together with a commentary which discusses Euler's results and an appendix which addresses a question from E691 which Euler left for others to consider.

A new approach to (3 1)-dimensional TQFTs via topological modular forms
Sergei Gukov, Vyacheslav Krushkal, Lennart Meier, Du Pei
https://arxiv.org/abs/2509.12402 https://…

A new approach to (3+1)-dimensional TQFTs via topological modular forms
In this paper, we present a construction toward a new type of TQFTs at the crossroads of low-dimensional topology, algebraic geometry, physics, and homotopy theory. It assigns TMF-modules to closed 3-manifolds and maps of TMF-modules to 4-dimensional cobordisms. This is a mathematical proposal for one of the simplest examples in a family of $π_*({\rm TMF})$-valued invariants of 4-manifolds which are expected to arise from 6-dimensional superconformal field theories. As part of the construction…

Charlie Kirk's alleged murderer was:
▫️White gun nut
▫️"Groyper"
▫️Raised by white gun nuts
His family was:
▫️All Christian Nationalists
▫️All MAGAts
▫️All Republicans
▫️All Bigots
▫️All Racists
...who didn't think Kirk was RIGHT ENOUGH.
He wasn't
▫️Trans
▫️Black/Brown
▫️Gay
▫️Liberal
▫️Progressive
☑️ Charlie Kirk Suspect’s Grandma Says Family Is All MAGA

Charlie Kirk Suspect’s Grandma Says Family Is All MAGA
Tyler Robinson, the prime suspect for Charlie Kirk’s assassination, comes from a proud MAGA family, according to his grandmother.

Mitigating the Noise Shift for Denoising Generative Models via Noise Awareness Guidance
Jincheng Zhong, Boyuan Jiang, Xin Tao, Pengfei Wan, Kun Gai, Mingsheng Long
https://arxiv.org/abs/2510.12497

Mitigating the Noise Shift for Denoising Generative Models via Noise Awareness Guidance
Existing denoising generative models rely on solving discretized reverse-time SDEs or ODEs. In this paper, we identify a long-overlooked yet pervasive issue in this family of models: a misalignment between the pre-defined noise level and the actual noise level encoded in intermediate states during sampling. We refer to this misalignment as noise shift. Through empirical analysis, we demonstrate that noise shift is widespread in modern diffusion models and exhibits a systematic bias, leading to …

none of these words are in the bible

@… Congratulations! I’m proud to call you my fellow American as well.
My Polish family taught me many of the same lessons and values.

"We're saving God" epitomizes the Trump family blasphemy
https://bsky.app/profile/atrupar.com/post/3m35zzitsrc2q

Aaron Rupar (@atrupar.com)
Eric Trump: "We're saving Christianity. We've saving God. We've saving the family unit. We're saving this nation. I mean, DEI is out of the window, Benny. You no longer have Colin Kaepernick kneeling for the national anthem. You no longer have Budweiser going woke as hell. All of this is dead."

Google releases Cell2Sentence-Scale 27B (C2S-Scale), a 27B-parameter foundation model for single-cell analysis built on its Gemma family of open models (The Keyword)
https://blog.google/technology/ai/google-gemma-ai-cancer-therapy-discovery/

How a Gemma model helped discover a new potential cancer therapy pathway
We’re launching a new 27 billion parameter foundation model for single-cell analysis built on the Gemma family of open models.

On singular points in the essential spectrum
Alexander Plakhotnikov
https://arxiv.org/abs/2510.11025 https://arxiv.org/pdf/2510.11025

On singular points in the essential spectrum
The paper investigates the existence of a limit in the operator norm for a family of operators $T_z(H)= F(H-z)^{-1}F^*$ for $z$ tending to the real axis. The conditions for the $H$ operator and the rigging operator $F$ are established, under which the limit exists. Special attention is paid to the separation of cases when the limit point belongs and does not belong to the point spectrum $H$.

Evolution of meta's llama models and parameter-efficient fine-tuning of large language models: a survey
Abdulhady Abas Abdullah, Arkaitz Zubiaga, Seyedali Mirjalili, Amir H. Gandomi, Fatemeh Daneshfar, Mohammadsadra Amini, Alan Salam Mohammed, Hadi Veisi
https://arxiv.org/abs/2510.12178

Evolution of meta's llama models and parameter-efficient fine-tuning of large language models: a survey
This review surveys the rapid evolution of Meta AI's LLaMA (Large Language Model Meta AI) series - from LLaMA 1 through LLaMA 4 and the specialized parameter-efficient fine-tuning (PEFT) methods developed for these models. We first describe the LLaMA family of foundation models (7B-65B to 288B parameters), their architectures (including native multimodal and Mixtureof-Experts variants), and key performance characteristics. We then describe and discuss the concept of PEFT, which adapts large pre…

A Kolmogorov-Smirnov-Type Test for Dependently Double-Truncated Data
Anne-Marie Toparkus, Rafael Weissbach
https://arxiv.org/abs/2510.11517 https://arxiv.o…

A Kolmogorov-Smirnov-Type Test for Dependently Double-Truncated Data
With double-truncated lifespans, we test the hypothesis of a parametric distribution family for the lifespan. The typical finding from demography is an instationary behaviour of the life expectancy, and a copula models the resulting weak dependence of lifespan and the age at truncation. Our main example is the Farlie-Gumbel-Morgenststern copula. The test is based on Donsker-class arguments and the functional delta method for empirical processes. The assumptions also allow parametric inference, …

Reciprocal relations for orthogonal quantum matrices
Pavel Pyatov, Oleg Ogievetsky
https://arxiv.org/abs/2510.09811 https://arxiv.org/pdf/2510.09811…

Reciprocal relations for orthogonal quantum matrices
For the family of the orthogonal quantum matrix algebras we investigate the structure of their characteristic subalgebras -- special commutative subalgebras, which for the subfamily of the reflection equation algebras appear to be central. In [OP1] we described three generating sets of the characteristic subalgebras of the symplectic and orthogonal quantum matrix algebras. One of these -- the set of the elementary sums -- is finite. In the symplectic case the elementary sums are in general alge…

Minmax Exclusivity Classes for Power-Type Loss Functions
Stanis{\l}aw M. S. Halkiewicz
https://arxiv.org/abs/2507.12447 https://arxiv…

Minmax Exclusivity Classes for Power-Type Loss Functions
In statistical decision theory, the choice of loss function fundamentally shapes which estimators qualify as optimal. This paper introduces and develops the general concept of exclusivity classes of loss functions: subsets of loss functions such that no estimator can be optimal (according to a specified notion) for losses lying in different classes. We focus on the case of minmax optimality and define minmax exclusivity classes, demonstrating that the classical family of power-type loss functio…

Backpacker Found Alive in Australian Bush After 12 Days of Surviving Her Major Mistake https://www.goodnewsnetwork.org/backpacker-found-alive-in-australian-bush-after-12-days-survival-experts-share-her-major-mistake/…

Backpacker Found Alive in Australian Bush After 12 Days–Surviving a Major Mistake
Carolina Wilga's disappearance gripped the nation after her friends and family lost contact with her in late June and her van was immobilized

On some algebraic and analytic properties of the finitely generated simple left orderable groups $G_{\rho}$
Pawel Aleksander Fedorynski, Yash Lodha
https://arxiv.org/abs/2509.09856

On some algebraic and analytic properties of the finitely generated simple left orderable groups $G_ρ$
In $2019$ Hyde and the second author constructed the first family of finitely generated, simple, left orderable groups. We prove that these groups are not finitely presentable, non-inner amenable, don't have Kazhdan's property $(T)$ (yet have property FA), and that their first $l^2$-Betti number vanishes. We also show that these groups are uniformly simple, providing examples of uniformly simple finitely generated left orderable groups. Finally, we also describe the structure of the groups $G_�…

I used to live in the next town over, and it’s gratifying to see the #Nadesalingam family finally thriving as part of #Biloela's community. The lengths #ScoMo’s government—and particularly then-Home Affairs Minist…

On the Continuity of Enhancement Percolation
Paul Duncan, David Sivakoff, Benjamin Schweinhart
https://arxiv.org/abs/2509.10990 https://arxiv.org/pdf/2509.…

On the Continuity of Enhancement Percolation
We study bond percolation in $\mathbb{Z}^d$ with an unbounded family of enhancements that enable additional bonds to act as open. A natural question is whether percolation occurs in this model if and only if percolation also occurs in the system with a finite subcollection of enhancements. We give an affirmative answer in dimension $d=2$ for symmetric families of connected enhancements, and in dimensions $d\ge 3$ we prove a partial result.

Local structure of centred tangent cones in the Wasserstein space
Averil Aussedat
https://arxiv.org/abs/2508.10837 https://arxiv.org/pdf/2508.10837

Local structure of centred tangent cones in the Wasserstein space
This article investigates the geometric tangent cone to a probability measure with finite second moment. It is known that the tangent elements induced by a map belong to the $L^2_μ$ closure of smooth gradients. We show that at the opposite, the elements that have barycenter 0 are characterized by a local condition, i.e. as the barycenter-free measures that are concentrated on a family of vector subspaces attached to any point. Our results rely on a decomposition of a measure into $d+1$ compone…

On the Piecewise Linear Perturbations of the Doubling Map
Anubrato Bhattacharyya, Kuntal Banerjee
https://arxiv.org/abs/2510.11441 https://arxiv.org/pdf/25…

On the Piecewise Linear Perturbations of the Doubling Map
Inspired by the 2007 work by M.~Misiurewicz and A.~Rodrigues [Double Standard Maps, M. Misiurewicz, A. Rodrigues, Communications in Mathematical Physics], we consider a family of circle maps that are perturbations of the doubling map on the circle by a piecewise linear map. We call this the \textit{piecewise linear perturbation of the doubling map} (PLPDM) and it is given by the formula, $f_{a,b}(x)= \displaystyle \bigl(2x+a+\dfrac{b}{2} S(x) \bigr) // 1 \quad {\text {for }} x, a, b \in [0,1]…

Coexistence of Spectrally Stable and Unstable Modes in Black Hole Ringdowns
Peng Wang, Tianshu Wu
https://arxiv.org/abs/2510.12135 https://arxiv.org/pdf/25…

Coexistence of Spectrally Stable and Unstable Modes in Black Hole Ringdowns
Recent studies have shown that a secondary potential barrier, forming a potential well outside the event horizon, can destabilize the Quasinormal Mode (QNM) spectrum of black holes. We find that spectral instability may persist even after the potential well vanishes, giving rise to a distinct family of spectrally unstable QNMs that differ from the spectrally stable modes localized near the potential peak and associated with the photon sphere. Nevertheless, time-domain simulations reveal that ea…

Beyond CVEs: Mastering the Landscape with Vulnerability-Lookup is finally online.
The talk was given at @… conference.
#opensource #vulnerability

Hello everyone,
@… and I had the honour of speaking to four lovely people from Gaza today over video chat and we’d like to welcome them to the Gaza Verified family.
They are:
• Mohamed Naji – @…
• Ra…

Efficient Remote Monitoring through Noisy Random Access with Retransmissions
Sergey Foss, Dmitriy Kim, Andrey Turlikov
https://arxiv.org/abs/2507.12368 htt…

Efficient Remote Monitoring through Noisy Random Access with Retransmissions
We consider a rare event monitoring system consisting of a set of devices and a base station, where devices transmit information about rare events to the base station using a random multiple access scheme. We introduce a model in which the presence of noise in the multiple access channel can cause message loss even in the absence of transmission collisions. The occurrence of events is modeled by a family of independent two-state Markov chains (with states 0 and 1). We analyze how repeated trans…

Daisy family flower color graded to take out most of the greens of the surrounding foliage but leave the exquisite yellows and oranges intact
#photo #photography #yellow

On Sunday, October 5, 2025, my wife and I are participating in the Canadian Cancer Society's Run for the Cure. This national fundraiser brings together communities across the country who will run or walk in support of all Canadians impacted by breast cancer. We are walking in honour of my mother, my two sisters, and both our daughters - all of whom have been touched by this terrible disease.
Our family isn't special as 1 in 8 women will face a breast cancer diagnosis in their lifetime, It is the most commonly diagnosed cancer among Canadian women, and all of us likely know someone who has battled it in the past, or is fighting it today. I encourage all Canadians to donate in honour of someone they know or simply to help their communities fight breast cancer. This cause is particularly important to us, especially this year, as we support our daughters, and I hope all Canadians get involved.
#CanadianCancerSociety #RunForTheCure
https://support.cancer.ca/site/TR/RunfortheCure/RFTC_NW_even_?px=15178695&pg=personal&fr_id=30455

A structure theorem for complex-valued quasiprobability representations of physical theories
Rafael Wagner, Roberto D. Baldij\~ao, Matthias Salzger, Y\`il\`e Y\=ing, David Schmid, John H. Selby
https://arxiv.org/abs/2509.10949

A structure theorem for complex-valued quasiprobability representations of physical theories
Quasiprobability representations are well-established tools in quantum information science, with applications ranging from the classical simulability of quantum computation to quantum process tomography, quantum error correction, and quantum sensing. While traditional quasiprobability representations typically employ real-valued distributions, recent developments highlight the usefulness of complex-valued ones -- most notably, via the family of Kirkwood--Dirac quasiprobability distributions. Bu…

The Trump family has raked in an astonishing $3.4 billion over his two presidencies, new report claims (Katie Hawkinson/The Independent)
https://www.the-independent.com/news/world/americas/us-politics/trump-family-profit-cryptocurrency-billions-b2806493.html
http://www.memeorandum.com/250813/p39#a250813p39

New Helly-type results for discrete boxes: Quantitative colorful and $(p,q)$-variants
Rahul Gangopadhyay, Alexander Polyanskii, Wei Rao
https://arxiv.org/abs/2509.13115 https://…

New Helly-type results for discrete boxes: Quantitative colorful and $(p,q)$-variants
In 2008, Halman showed that for any finite set $P\subset \mathbb R^d$ and any finite family $\mathcal{B}$ of axis-parallel boxes in $\mathbb{R}^d$, if the intersection of $P$ and any subfamily $\mathcal{B}' \subseteq\mathcal{B}$ of size at most $2d$ is non-empty, then the intersection of $P$ and $\mathcal{B}$ is also non-empty. Very recently Edwards and Soberón initiated the study of quantitative colorful version for $2d$ families, $(p,q)$-type variation for $p\geq q\geq d+1$, and other extens…

Chiefs quiet on status of Josh Simmons after left tackle abruptly missed game vs. Lions for personal matter

https://www.cbssports.com/nfl/news/chiefs-

A Generalized Digit Map: Periodicity, Prouhet-Tarry-Escott Solutions, and Summation Identities
Wanli Ma
https://arxiv.org/abs/2509.11269 https://arxiv.org/…

A Generalized Digit Map: Periodicity, Prouhet-Tarry-Escott Solutions, and Summation Identities
We investigate arithmetic properties of the sequence b(n) = B_MN(n) mod M obtained from the base-M to base-N shift map B_MN.We prove that b(n) is ultimately periodic exactly when every prime divisor of M also divides N; in that case we bound (and, for prime powers, determine) the minimal period.When the condition fails, b(n) supplies new solutions to the Prouhet-Tarry-Escott problem.To analyze this situation we introduce a family of finite-difference identities and use them to evaluate two weig…

Codes on any Cayley Graph have an Interactive Oracle Proof of Proximity
Hugo Delavenne (GRACE), Louise Lallemand (GRACE)
https://arxiv.org/abs/2508.10510 https://

Codes on any Cayley Graph have an Interactive Oracle Proof of Proximity
Interactive Oracle Proofs of Proximity (IOPP) are at the heart of code-based SNARKs, a family of zeroknowledge protocols. The first and most famous one is the FRI protocol [BBHR18a], that efficiently tests proximity to Reed-Solomon codes. This paper generalizes the flowering IOPP introduced in [DMR25] for some specific (2, n)-regular Tanner codes to a much broader variety of codes: any code with symbols indexed on the edges of a Cayley graph. The flowering protocol of [DMR25] had a soundness pa…

“We are now in the heart of danger.”
Just had a message from Yousef, Nouran’s brother, on Signal.
Please help @… and her family is you can.
https://…

A connection between minimal surfaces and the two-dimensional analogues of a problem of Euler
Rafael L\'opez
https://arxiv.org/abs/2507.12371 https://

A connection between minimal surfaces and the two-dimensional analogues of a problem of Euler
If $α\in\r$, an $α$-stationary surface in Euclidean space is a surface $Σ$ whose mean curvature $H$ satisfies $H(p)=α|p|^{-2} \langleν,p\rangle$, $p\inΣ$. These surfaces generalize in dimension two a classical family of curves studied by Euler which are critical points of the moment of inertia of planar curves. In this paper we establish, via inversions, a one-to-one correspondence between $α$-stationary surfaces and $-(α+4)$-stationary surfaces. In particular, there is a corr…

Classification and Birational Equivalence of Dimer Integrable Systems for Reflexive Polygons
Minsung Kho, Norton Lee, Rak-Kyeong Seong
https://arxiv.org/abs/2510.12290 https://

Classification and Birational Equivalence of Dimer Integrable Systems for Reflexive Polygons
Brane tilings are bipartite periodic graphs on the 2-torus and realize a large family of 4d N=1 supersymmetric gauge theories corresponding to toric Calabi-Yau 3-folds. We present a complete classification of dimer integrable systems corresponding to the 30 brane tilings whose toric Calabi-Yau 3-folds are given by the 16 reflexive polygons in 2 dimensions. For each dimer integrable system associated to a reflexive polygon, we present the Casimirs, the single Hamiltonian built from 1-loops, the …

…and it is done! I need to make some more 13x17 prints now that I’ve got this empty space — guess which print covers up a hole my evil twin made in the paint before we learned about Blu-Tack
#aliceoflife #office #magic

Computational Study of New Record-Based Transmuted Chen Distribution and Its Applications to the Failure Time and Iron Sheet Data
Caner Tan{\i}\c{s}
https://arxiv.org/abs/2509.09756

Computational Study of New Record-Based Transmuted Chen Distribution and Its Applications to the Failure Time and Iron Sheet Data
This study is considered to introduce a novel distribution as an alternative to Chen distribution via the record-based transmutation method. This technique is based on the distributions of first two upper record values. Thus, we suggest a new special case based on Chen distribution in the family of record based transmuted distributions. We explore various distributional properties of the proposed model namely, quantile function, hazard function, median, moments, and stochastic ordering. Our dis…

Multidimensional Scalar Conservation Laws with Non-Aligned Discontinuous Flux and Singularity of Solutions
Ajlan Zajmovi\'c
https://arxiv.org/abs/2509.12099 https://

Multidimensional Scalar Conservation Laws with Non-Aligned Discontinuous Flux and Singularity of Solutions
We prove that the family of solutions to vanishing viscosity approximation for multidimensional scalar conservation laws with discontinuous non-aligned flux and zero initial data in the limit generates a singular measure supported along the discontinuity surface.

Heavily armed paramilitary illegally entered the wrong residence, without a warrant in Portland, OR, terrorized a family with a baby, destroyed a large portion of the house and disappeared all the men.
Source: https://v.redd.it/q9baeycc7gvf1

Folks, Mohammed ( @…) has taken ill after his trip to the South to try and secure a place for his family.
It’s likely Covid.
It’s the second account I’m seeing of someone who visited the South falling ill with Covid in as many days.
Please help him cover cost of treatment in addition to everything else.
This is his fundraiser:

No shelter, no safety - Help Mohammed survive genocide in Gaza
My name is Thomas and I live in France and in the UK. I'm hosting Mohammed's campaign because Palestinians cannot host their own campaigns. If you've got any questions or if you'd like any proofs, I'm happy to provide you with these. Please support! Peace ✌️

Good Morning #Canada
There is a lot of news coverage about a USA president that lusts after a Nobel Prize like he attacks a family sized bucket of KFC. So let's celebrate that OTD in 1957, the first Canadian won the peace prize - Lester B. Pearson. Before he became our 14th Prime Minister, he spent the majority of his career as a diplomat. He was one of the founders of the United Nations and almost ended up as its first Secretary General. He was instrumental in ending the Suez Canal crisis by suggesting and helping to implement the first U.N. Peacekeeping Force.
#CanadaIsAwesome #CanadianHeroes
https://www.nobelprize.org/prizes/peace/1957/pearson/facts/

Cryptanalysis and design for a family of plaintext non-delayed chaotic ciphers
Qianxue Wang, Simin Yu
https://arxiv.org/abs/2509.11158 https://arxiv.org/pd…

Cryptanalysis and design for a family of plaintext non-delayed chaotic ciphers
Plaintext non-delayed chaotic cipher (PNDCC) means that in the diffusion equation, plaintext has no delay terms while ciphertext has a feedback term. In existing literature, chaotic cipher diffusions invariably take this form. Since its introduction, PNDCC has attracted attention but also doubts. Designers of chaotic ciphers usually claim PNDCC security by statistical tests, while rigorous cryptographic proofs are absent. Thus, it is necessary to re-examine its design rationale and empirical se…

On the $v$-adic values of G-functions II
Georgios Papas
https://arxiv.org/abs/2510.11814 https://arxiv.org/pdf/2510.11814

On the $v$-adic values of G-functions II
This is the second in a series of papers by the author centered around the study of values of G-functions associated to $1$-parameter families of abelian varieties $f:\CX\rightarrow S$ and a point $s_0\in S(K)$ with smooth fiber over some number field $K$. Here we study the case where $f:\CX\rightarrow S$ is a family of elliptic curves. We construct relations among the values of G-functions in this setting at points whose fiber is a CM elliptic curve. These lead to bounds for the height of su…

Saturation for Sums of Posets and Antichains
Maria-Romina Ivan, Sean Jaffe
https://arxiv.org/abs/2509.10294 https://arxiv.org/pdf/2509.10294

Saturation for Sums of Posets and Antichains
Given a finite poset $\mathcal P$, we say that a family $\mathcal F$ of subsets of $[n]$ is $\mathcal P$-saturated if $\mathcal F$ does not contain an induced copy of $\mathcal P$, but adding any other set to $\mathcal F$ creates an induced copy of $\mathcal P$. The saturation number of $\mathcal P$ is the size of the smallest $\mathcal P$-saturated family with ground set $[n]$. The saturation numbers have been shown to exhibit a dichotomy: for any poset, the saturation number is either bound…

Even Cone Spherical Metrics: Blow-Up at a Cone Singularity
Ting-Jung Kuo, Xuanpu Liang, Ping-Hsiang Wu
https://arxiv.org/abs/2509.10013 https://arxiv.org/p…

Even Cone Spherical Metrics: Blow-Up at a Cone Singularity
We study families of spherical metrics on the flat torus $E_τ$ $=$ $\mathbb{C}/Λ_τ$ with blow-up behavior at prescribed conical singularities at $0$ and $\pm p$, where the cone angle at $0$ is $6π$, and at $\pm p$ is $4π$. We prove that the existence of such a necessarily unique, even family of spherical metrics is completely determined by the geometry of the torus: such a family exists if and only if\textbf{ }the Green function $G(z;τ)$ admits a pair of nontrivial critical points $\pm a$…

The 17-year-old son watched as ICE ripped his father from him.
“It all felt like a lot to bear,” David told the Youth Media Project.
“He’s my role model, my biggest supporter. I rely on him a lot.”
The officer took all of Hector’s belongings, including $200 in cash he was carrying.
They did, however, forget to confiscate his phone, which Hector kept on him during his detainment.
David watched his dad step into the backseat of the blacked-out SUV.
As it sped …

ICE Stranded a 17-Year-Old on I-20 After Arresting His Father. The Mississippi Dad Now Faces Deportation.
A 17-year-old watched as ICE arrested his immigrant father, Hector, on I-20 in June. The family faces mounting legal fees and the risk of deportation.

🚨 Aseel ( @…), her family, and her cat Liza are in danger right now in Gaza as Israel’s genocide enters a new phase with a ground offensive targeting a million people.
She desperately needs donations to get to and seek shelter in the South.
I spoke to her today for Gaza Verified.
Listen to her tell you about her situation in her own word…

Spectral extremal problems for degenerate graphs
Jiadong Wu, Liying Kang, Zhenyu Ni
https://arxiv.org/abs/2507.12014 https://arxiv.or…

Spectral extremal problems for degenerate graphs
A family of graphs is called degenerate if it contains at least one bipartite graph. In this paper, we investigate the spectral extremal problems for a degenerate family of graphs $\mathcal{F}$. By employing covering and independent covering of graphs, we establish a spectral stability result for $\mathcal{F}$. Using this stability result, we prove two general theorems that characterize spectral extremal graphs for a broad class of graph families $\mathcal{F}$ and imply several new and known re…

Today @… and I spoke to Salem (@…), a fourth-year engineering student from Gaza. He is responsible for his sick father and his sister’s family after their father died two weeks ago.
In the short video we recorded w…

Ricci Solitons on a family of three dimensional Lorentzian Walker manifolds
A. Diatta, M. Ciss, A. S. Diallo
https://arxiv.org/abs/2508.10217 https://arxiv…

Ricci Solitons on a family of three dimensional Lorentzian Walker manifolds
A Ricci soliton is a natural generalization of an Einstein metric. On a pseudo-Riemannian manifold (M, g), it is defined by : $LX g + \r{ho} = λ g, where X is a smooth vector field on M , LX denotes the Lie derivative in the direction of X, \r{ho} is the Ricci tensor, and λ is a real constant. In this paper, we establish the existence of non-trivial Ricci solitons on a family of three-dimensional Lorentzian Walker manifolds.

Cocycle weighted infinitesimal bialgebras and pre-Lie algebras on rooted trees
Lo\"ic Foissy (LMPA), Yunzhou Xie (NJUST), Dawei Zhang (NJUST), Yi Zhang (NJUST)
https://arxiv.org/abs/2510.12239

Cocycle weighted infinitesimal bialgebras and pre-Lie algebras on rooted trees
The concept of weighted infinitesimal bialgebras provides an algebraic framework for understanding the non-homogeneous associative Yang-Baxter equation. In this paper, we endow the space of decorated planar rooted forests with a two-parameters family of coproducts, making it into a weighted infinitesimal bialgebra. A combinatorial characterization of the coproducts is given via the notion of forest biideals. Furthermore, by constructing a bilinear symmetric form and introducing a new grafting o…

Variant of Ramanujan polynomials and a conjecture of Maji & Sarkar
Mrityunjoy Charan, Jaban Meher, Siddhi Pathak
https://arxiv.org/abs/2507.12080 https…

Variant of Ramanujan polynomials and a conjecture of Maji & Sarkar
We settle a conjecture proposed by B. Maji and T. Sarkar regarding the location of zeros of a two-parameter family of reciprocal polynomials, $R_{k,\ell}(z)$ for positive integers $k$ and $\ell$. These polynomials are generalizations of Ramanujan polynomials studied by M. R. Murty, C. Smyth, and R. Wang. More specifically, we show that except for two real zeros, all other zeros of $R_{k,\ell}(z)$ lie on the unit circle.

🚨 My friend Nouran is in danger!
Nouran and her family are one of the almost one million people stuck in the area that Israel has said it is going to destroy imminently.
They need money to afford to move South.
Please help if you can and please share so others can.
https://chuffed.org/pr…

Urgent help for Ahmed's family
"I’m tired, Mama. I’m thinking of the hours that I'll spend tomorrow in the water line." – says 9 year old Ahmed to his mother before going to sleep.

I just had a video conversation on Signal with Nouran (@…) and her brother Yousef from Gaza.
Their family is one of countless ones in Palestine who are still alive but unsure of what tomorrow is going to bring. Last night was especially tough with Israel’s renewed bombing. Yousef told me that at least they are still in their own home and that …

Urgent help for Ahmed's family
"I’m tired, Mama. I’m thinking of the hours that I'll spend tomorrow in the water line." – says 9 year old Ahmed to his mother before going to sleep.