Tootfinder

🪞 What we've learned about narcissism over the past 30 years
https://theconversation.com/what-weve-learned-about-narcissism-over-the-past-30-years-258505

What we’ve learned about narcissism over the past 30 years
Narcissism is a picture that includes insecurity, emotional sensitivity and surprising fragility.

This blog post might be interesting for some "12 Things I Learned Writing CLI Tools in #Crystal"
https://dev.to/kojix2/12-things-i-learned-writing-cli-tools-in-…

12 Things I Learned Writing CLI Tools in Crystal
I love the Crystal programming language. For the past two or three years, I have been building...

Seahawks-Cardinals on 'Thursday Night Football': What We Learned from Seattle's 23-20 win https://www.nfl.com/news/seahawks-cardinals-on-thursday-night-football-what-we-learned-from-seattle-s-23-20-win

On the Laurent series Expansions of the Barnes Double Zeta-Function
Takashi Miyagawa
https://arxiv.org/abs/2507.18152 https://arxiv.org/pdf/2507.18152

On the Laurent series Expansions of the Barnes Double Zeta-Function
The Laurent series expansions of complex functions play a crucial role in analyzing their behavior near poles. In particular, Laurent series expansions have been extensively studied in the theory of zeta-functions. It is well known that the Laurent series expansion of the Riemann zeta-function features the Euler-Stieltjes constants in its coefficients. Similar phenomena occur in the Laurent series expansion of the Hurwitz zeta-function, which is of considerable interest. In this paper, we com…

Lorentz transformations in time and two space dimensions
C. J. McKinstrie, M. V. Kozlov
https://arxiv.org/abs/2508.17002 https://arxiv.org/pdf/2508.17002…

Lorentz transformations in time and two space dimensions
In this article, matrix and vector formalisms for Lorentz transformations in time ($t$) and two space dimensions ($x$ and $y$) are developed and discussed. Lorentz transformations conserve the squared interval $t^2 - x^2 - y^2$. Examples of Lorentz transformations include boosts in arbitrary directions, which mix time ansd space, and rotations in space, which do not. Lorentz transformations can be described by matrices and coordinate vectors. Lorentz matrices comprise the special unitary group …

The optical analogy between a Lorentz-violating cosmos and a Magneto-Electric medium
Iman Motie, Brahim Lamine, Alain Blanchard, R\'emy Battesti, Carlo Rizzo
https://arxiv.org/abs/2509.19388

The optical analogy between a Lorentz-violating cosmos and a Magneto-Electric medium
The goal of our study is to investigate the effects of Lorentz symmetry violation by examining the behavior of photons within the framework of the Standard Model Extension (SME). We show that, from an optical point of view, the Lorentz-violating cosmos is analogous to a Magneto-Electric medium like the quantum vacuum in the presence of the magnetic and electric field. This analogy provides a formulation for exploring experimental evidence of Lorentz symmetry violation in the propagation of ligh…

Alignment-Sensitive Minimax Rates for Spectral Algorithms with Learned Kernels
Dongming Huang, Zhifan Li, Yicheng Li, Qian Lin
https://arxiv.org/abs/2509.20294 https://

Alignment-Sensitive Minimax Rates for Spectral Algorithms with Learned Kernels
We study spectral algorithms in the setting where kernels are learned from data. We introduce the effective span dimension (ESD), an alignment-sensitive complexity measure that depends jointly on the signal, spectrum, and noise level $σ^2$. The ESD is well-defined for arbitrary kernels and signals without requiring eigen-decay conditions or source conditions. We prove that for sequence models whose ESD is at most $K$, the minimax excess risk scales as $σ^2 K$. Furthermore, we analyze over-par…

Chronology Protection of Rotating Black Holes in a Viable Lorentz-Violating Gravity
Mu-In Park, Hideki Maeda
https://arxiv.org/abs/2509.19744 https://arxiv…

Chronology Protection of Rotating Black Holes in a Viable Lorentz-Violating Gravity
We study causal properties of the recently found rotating black-hole solution in the low-energy sector of Horava gravity as a viable Lorentz-violating (LV) gravity in four dimensions with the LV Maxwell field and a cosmological constant $Λ(>-3/a^2)$ for an arbitrary rotation parameter $a$. The region of non-trivial causality violation containing closed timelike curves is exactly the same as in the Kerr-Newman or the Kerr-Newman-(Anti-)de Sitter solution. Nevertheless, chronology is protected i…

10 things we learned from 2025 NFL preseason: Giants' succession plan unfolding; Jets, 49ers to lean on run

https://www.cbssports.com/nfl/news/10-thin

2025 NFL preseason, Week 3: What We Learned from Saturday's games https://www.nfl.com/news/2025-nfl-preseason-week-3-what-we-learned-from-saturday-games