Tootfinder

US vs Russia: key differences in the Donbas plan #shorts: https://benborges.xyz/2025/12/14/us-vs-russia-key-differences.html

Compositional difference-in-differences for categorical outcomes
Onil Boussim
https://arxiv.org/abs/2510.11659 https://arxiv.org/pdf/2510.11659

Compositional difference-in-differences for categorical outcomes
In difference-in-differences (DiD) settings with categorical outcomes, treatment effects often operate on both total quantities (e.g., voter turnout) and category shares (e.g., vote distribution across parties). In this context, linear DiD models can be problematic: they suffer from scale dependence, may produce negative counterfactual quantities, and are inconsistent with discrete choice theory. We propose compositional DiD (CoDiD), a new method that identifies counterfactual categorical quant…

Secret spider societies reveal surprising brain differences
#spiders

Secret spider societies reveal surprising brain differences
Researchers peered inside the brains of huntsman and crab spiders using microCT scanners and found that while spiders' brains don't have to be bigger for them to live in groups, social spiders are wired for better memory, recognition and collaboration.

Spatial two-grid compact difference scheme for two-dimensional nonlinear diffusion-wave equations with variable exponent
Hao Zhang, Kexin Li, Wenlin Qiu
https://arxiv.org/abs/2510.12188

Spatial two-grid compact difference scheme for two-dimensional nonlinear diffusion-wave equations with variable exponent
This paper presents a spatial two-grid (STG) compact difference scheme for a two-dimensional (2D) nonlinear diffusion-wave equation with variable exponent, which describes, e.g., the propagation of mechanical diffusive waves in viscoelastic media with varying material properties. Following the idea of the convolution approach, the diffusion-wave model is first transformed into an equivalent formulation. A fully discrete scheme is then developed by applying a compact difference approximation in …

Professor Obvious theorizes that the difference is related to how the substances interact with areas of the brain
https://www.theguardian.com/society/2025/dec/13/psychedelics-ocd-treatment-psilocybin

Psychedelic treatments show promise for OCD while cannabis doesn’t, review finds
Psychiatry professor theorizes that the difference is related to how the substances interact with areas of the brain

Love seeing people get excited over silly things: https://www.reddit.com/r/nextfuckinglevel/comments/1ploig7/consistency_is_what_makes_the_difference_and/
Gotta take your moments of joy

Hey everyone,
Nadeen and her sister need your help to continue their education in Gaza.
They need to raise ~$2,500.
Would any of you consider taking up this cause and helping them to fundraise? Or sponsor their education?
Please share thank you 💕
#Gaza #education

Inequalities, identities, and bounds for divided differences of the exponential function
Qiulin Zeng, Nicholas Ezzell, Arman Babakhani, Itay Hen, Lev Barash
https://arxiv.org/abs/2510.10724

Inequalities, identities, and bounds for divided differences of the exponential function
Let $\exp[x_0,x_1,\dots,x_n]$ denote the divided difference of the exponential function. (i) We prove that exponential divided differences are log-submodular. (ii) We establish the four-point inequality $ \exp[a,a,b,c]\,\exp[d,d,b,c]+\exp[b,b,a,d]\,\exp[c,c,a,d]-\exp[a,b,c,d]^2 \ge 0 $ for all $ a,b,c,d \in \mathbb{R} $. (iii) We obtain sharp two-sided bounds for $\exp[x_0,\dots,x_n]$ at fixed mean and variance; as a consequence, we derive their large-input asymptotics. (iv) We present …

Spatial and Temporal Boundaries in Difference-in-Differences: A Framework from Navier-Stokes Equation
Tatsuru Kikuchi
https://arxiv.org/abs/2510.11013 https://

Spatial and Temporal Boundaries in Difference-in-Differences: A Framework from Navier-Stokes Equation
This paper develops a unified framework for identifying spatial and temporal boundaries of treatment effects in difference-in-differences designs. Starting from fundamental fluid dynamics equations (Navier-Stokes), we derive conditions under which treatment effects decay exponentially in space and time, enabling researchers to calculate explicit boundaries beyond which effects become undetectable. The framework encompasses both linear (pure diffusion) and nonlinear (advection-diffusion with che…

The low-rank tensor-train finite difference method for three-dimensional parabolic equations
Gianmarco Manzini, Tommaso Sorgente
https://arxiv.org/abs/2509.10142 https://…

The low-rank tensor-train finite difference method for three-dimensional parabolic equations
This paper presents a numerical framework for the low-rank approximation of the solution to three-dimensional parabolic problems. The key contribution of this work is the tensorization process based on a tensor-train reformulation of the second-order accurate finite difference method. We advance the solution in time by combining the finite difference method with an explicit and implicit Euler method and with the Crank-Nicolson method. We solve the linear system arising at each time step from th…