Tootfinder

@… I get the feeling that Evan is not interested in this conversation.

There was once a machine that told you "you want this" and "this is good." It said, "there can be no better system and it's foolish to try to build one." That machine has long since failed to function. Now you choke on fumes as it is consumed by the wild flames of an abandoned cause.
That machine could not possibly work anymore because the evidence of it's falsehood has become too overwhelming.
No, only abject terror now can keep you from plotting your escape, from creating an alternative. No, the illusion has long since broken. All that's left now is triggering fight, flight, freeze as hard as possible. Most will be paralyzed, and those who fight can be used as an excuse to escalate the terror.
These are the final stages of a dying sun, expanding and consuming it's children before the final supernova.
There is no longer a stable system, no longer a system with a future. All that remains is the spectacle that hopes to distract you long enough that you too can be consumed, that it may sustain itself a few moments longer.

On the sum-of-squares function
Vitalii V. Iudelevich
https://arxiv.org/abs/2508.02701 https://arxiv.org/pdf/2508.02701

On the sum-of-squares function
In this paper, we derive the following asymptotic formula $$ \mathop{{\sum}'}_{n\leqslant x}\dfrac{r(n)}{r(n+1)} = {x}{(\ln x)^{-3/4}}(c+o(1)),\ \ x \to +\infty,$$ where $r(n)$ is the number of representations of $n$ as a sum of two squares, $c$ is a positive constant, and the prime indicates summation over those $n$ for which $r(n+1)\neq 0$.

Colibri: A new tool for fast-flying PDF fits
Mark N. Costantini, Luca Mantani, James M. Moore, Valentina Schutze Sanchez, Maria Ubiali
https://arxiv.org/abs/2510.03391 https://

Colibri: A new tool for fast-flying PDF fits
We present Colibri, an open-source Python code that provides a general and flexible tool for PDF fits. The code is built so that users can implement their own PDF model, and use the built-in functionalities of Colibri for a fast computation of observables. It grants easy access to experimental data, several error propagation methodologies, including the Hessian method, the Monte Carlo replica method, and an efficient numerical Bayesian sampling algorithm. To demonstrate the capabilities of Coli…

I wonder how hard it would be to fabricate something that might (inadvertently, of course) disrupt the functioning of a drone that was, for instance, flying around a peaceful demonstration? I know it’s a federal felony (punishable by up to 20 years in prison) to shoot them down, or point a laser at them. But maybe something in a pocket, or backpack? So it’s not visible? #askingforafriend…

Tailored Thermal and Mechanical Performance of Biodegradable PLA-P(VDF-TrFE) Polymer Blends
G Suresh, B. Satyanarayana, C. Thirmal, Kaushal Jagarlamudi, T Komala, Jimlee Patowary, Ashutosh Kumar
https://arxiv.org/abs/2508.04662

Tailored Thermal and Mechanical Performance of Biodegradable PLA-P(VDF-TrFE) Polymer Blends
The development of polymer blends has emerged as a strategic approach for designing multifunctional materials with enhanced tailored characteristics. Current work investigates and reports for the first time, the structure-property relationships in free-standing blend films of poly(vinylidene fluoride-trifluoroethylene) (P(VDF-TrFE)) and polylactic acid (PLA), prepared to evaluate their suitability for functional applications. For this investigation, films of approximately 40 $μ$m thick were fa…

One first step people should do to respond to this is start using the “report a speed trap” function in Apple Maps to report where ICE is operating. Make Apple party to the attempt to protect people. https://www.theverge.com/news/791533/google-a…

Google removes ICE-spotting app following Apple’s ICEBlock crackdown
Google has removed Red Dot, an app people could use to report ICE sightings from Google Play, one day after Apple removed similar apps, including Red Dot and ICEBlock.

Mean and quantile regression in the copula setting: properties, sharp bounds and a note on estimation
Henrik Kaiser, Wolfgang Trutschnig
https://arxiv.org/abs/2510.03804 https:/…

Mean and quantile regression in the copula setting: properties, sharp bounds and a note on estimation
Driven by the interest on how uniformity of marginal distributions propa\-gates to properties of regression functions, in this contribution we tackle the following questions: Given a $(d-1)$-dimensional random vector $\textbf{X}$ and a random variable $Y$ such that all univariate marginals of $(\textbf{X},Y)$ are uniformly distributed on $[0,1]$, how large can the average absolute deviation of the mean and the quantile regression function of $Y$ given $\textbf{X}$ from the value $\frac{1}{2}$ b…

Raiders Floated as Team That Could Sign Former Bengals Star https://heavy.com/sports/nfl/las-vegas-raiders/sign-former-bengals-star-tyler-boyd/?adt_ei=[email]

Constructions of Efficiently Implementable Boolean Functions with Provable Nonlinearity/Resiliency/Algebraic Immunity Trade-Offs
Palash Sarkar
https://arxiv.org/abs/2510.01720 h…

Constructions of Efficiently Implementable Boolean Functions with Provable Nonlinearity/Resiliency/Algebraic Immunity Trade-Offs
We describe several families of efficiently implementable Boolean functions achieving provable trade-offs between resiliency, nonlinearity, and algebraic immunity. In concrete terms, the following result holds for each of the function families that we propose. Given integers $m_0\geq 0$, $x_0\geq 1$, and $a_0\geq 1$, it is possible to construct an $n$-variable function which has resiliency at least $m_0$, linear bias (which is an equivalent method of expressing nonlinearity) at most $2^{-x_0}$ …