Tootfinder

"""
If lepers were socially excluded and removed from the community of the visible church, their existence still made God manifest, as they showed both his anger and his bounty: ‘Dearly beloved’, says a ritual from a church in Vienne in the south of France, ‘it has pleased God to afflict you with this disease, and the Lord is gracious for bringing punishment upon you for the evil that you have done in this world.’ The leper was then dragged out of the church by the priest and his acolytes gressu retrogrado but he was assured that he was God’s witness: ‘however removed from the church and the company of the saints, you are never separated from the grace of God’. Brueghel’s lepers watch from afar, but forever, as Christ climbs Mount Calvary accompanied by a whole people. Hieratic witnesses of evil, their salvation is assured by their exclusion: in a strange reversal quite opposed to merit and prayers, they are saved by the hand that is not offered. The sinner who abandons the leper to his fate thereby opens the door to his salvation. ‘Thus be patient in your sickness, for the Lord does not underestimate your ills, nor separate you from his company. If you have patience, so shall you be saved, like the leper who died outside the door of the rich man, and was carried straight up to Heaven.’ Abandonment is his salvation, and exclusion offers an unusual form of communion.
"""
(Michel Foucault, History of Madness, transl. Jonathan Murphy and Jean Khalfa)

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two
Urs Lang, Stephan Stadler, David Urech
https://arxiv.org/abs/2506.04882 https://

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two
Gromov's isoperimetric gap conjecture for Hadamard spaces states that cycles in dimensions greater than or equal to the asymptotic rank admit linear isoperimetric filling inequalities, as opposed to the inequalities of Euclidean type in lower dimensions. In the case of asymptotic rank 2, recent progress was made by Druţu-Lang-Papasoglu-Stadler who established a homotopical inequality for Lipschitz 2-spheres with exponents arbitrarily close to 1. We prove a homological inequality of the same ty…

Lukashenko regime designates exiled Belarusian opposition body as 'terrorist organization': https://benborges.xyz/2025/07/10/lukashenko-regime-designates-exiled-belarusian.html

Colombia | Petro se la juega en las calles ante el boicot en el palacio - El Salto - Edición General
https://www.elsaltodiario.com/colombia/petro-se-juega-calles-boicot-palacio

Petro se la juega en las calles ante el boicot en el palacio
El paro nacional en apoyo al Gobierno es el último capítulo de una escalada de tensión entre el bloque que lidera Gustavo Petro y los poderes fácticos que obstaculizan la agenda de cambios del primer presidente progresista de la historia de Colombia.

Computing, Complexity and Degrowth : Systemic Considerations for Digital De-escalation
Valentin Girard, Maud Rio, Romain Couillet
https://arxiv.org/abs/2507.19070 https://

Computing, Complexity and Degrowth : Systemic Considerations for Digital De-escalation
Research on digital degrowth predominantly critiques digital expansion or presents alternative digital practices. Yet, analyzing the link between digital technologies and complexity is crucial to overcome systemic obstacles hindering digital de-escalation. This article presents the different types of links between complexity and computing observed in the literature: the infrastructural complexity inherent in digital technologies, the socio-political complexity induced by them, and finally, the …

On Exponential Instability of an Inverse Problem for the Wave Equation
Leonard Busch, Matti Lassas, Lauri Oksanen, Mikko Salo
https://arxiv.org/abs/2506.23559

On Exponential Instability of an Inverse Problem for the Wave Equation
For a time-independent potential $q\in L^\infty$, consider the source-to-solution operator that maps a source $f$ to the solution $u=u(t,x)$ of $(\Box+q)u=f$ in Euclidean space with an obstacle, where we impose on $u$ vanishing Cauchy data at $t=0$ and vanishing Dirichlet data at the boundary of the obstacle. We study the inverse problem of recovering the potential $q$ from this source-to-solution map restricted to some measurement domain. By giving an example where measurements take place in s…

The Trump administration’s deployment of national guard troops to Los Angeles
to intervene in civilian protests in the face of opposition from the Californian governor
is a major escalation that risks the politicisation of the US military, armed service veterans are warning.
Former top military figures have told the Guardian that the decision to put up to 2,000 troops under federal control and send them into the streets of LA
is a violation of the military’s commitmen…

A simple layered-wheel-like construction
Maria Chudnovsky, David Fischer, Sepehr Hajebi, Sophie Spirkl, Bartosz Walczak
https://arxiv.org/abs/2507.06169 ht…

A simple layered-wheel-like construction
In recent years, there has been significant interest in characterizing the induced subgraph obstructions to bounded treewidth and pathwidth. While this has recently been resolved for pathwidth, the case of treewidth remains open, and prior work has reduced the problem to understanding the layered-wheel-like obstructions -- graphs that contain large complete minor models with each branching set inducing a path; exclude large walls as induced minors; exclude large complete bipartite graphs as ind…

UWB TDoA Error Correction using Transformers: Patching and Positional Encoding Strategies
Dieter Coppens, Adnan Shahid, Eli De Poorter
https://arxiv.org/abs/2507.03523

UWB TDoA Error Correction using Transformers: Patching and Positional Encoding Strategies
Despite their high accuracy, UWB-based localization systems suffer inaccuracies when deployed in industrial locations with many obstacles due to multipath effects and non-line-of-sight (NLOS) conditions. In such environments, current error mitigation approaches for time difference of arrival (TDoA) localization typically exclude NLOS links. However, this exclusion approach leads to geometric dilution of precision problems and this approach is infeasible when the majority of links are NLOS. To a…