Tootfinder

It seems like, again, just following the plain logic of the Constitution and Declaration of Independence (which, again, I do not subscribe to), that every law passed under Trump, every supreme court justice appointment by Trump, every supreme court ruling by Trump appointed justices, all the illegal firing, etc, must all, necessarily, be null and void.
And if not following from the insurrection act, or from the oath of office, then following from the Declaration of Independence itself. The logic here being that a constitution is a contract between the people and their government, which the later upholds in order to maintain its legal status. The violation of said laws by the government violates "consent of the governed" (which, again, I have issues with the concept entirely but we're just going to ignore that) and therefore nullifies the authority of that government, granting " the right of the people to alter or to abolish it."
That seems a lot like the hard reset some folks have been looking for. Given that existing flaws allowed this state to be reached, it would also be necessary for the true authority to correct those mistakes before assuming authority that derives from these principles.
Now, personally, I don't subscribe to any of this logic but it's interesting to explore, as an outsider, where the logic goes.

In some UK woodlands, every young tree has died. What’s going wrong? https://www.theguardian.com/environment/2025/jul/10/britain-ancient-woodlands-failing-regenerate-forests-climate-drought-heat-dis…

Now personally, I'm not invested in the law and I reject the logical underpinnings of the whole thing. The US is founded on land that already had people on it, that already had multiple systems of authority, so there can be no claim that it has any legal authority to exist at all.
But it's hard to ignore the inconsistency here. Accepting the logic from the Declaration of Independence and the Constitution, there is no way in which the current state can be legitimate and which Trump has the authority to do anything. The last legal president, again, following the logic that assumes such a thing even possible, was Barak Obama. Since the transfer of power, the country has failed to enforce the law.
If the executive cannot complete their oath, then they are considered vacant under the 25th amendment. If the cabinet fails to invoke article 4, then they too are involved in the insurrection (again, simply following the logic outlined pretty clearly here) as are any who would fail to support the invocation.
Since a full takeover of the federal government by insurrectionists wasn't really planned for, I'm guessing that it would necessarily go to the states, being the only remaining legal authority.

Filter Equivariant Functions: A symmetric account of length-general extrapolation on lists
Owen Lewis, Neil Ghani, Andrew Dudzik, Christos Perivolaropoulos, Razvan Pascanu, Petar Veli\v{c}kovi\'c
https://arxiv.org/abs/2507.08796

Filter Equivariant Functions: A symmetric account of length-general extrapolation on lists
What should a function that extrapolates beyond known input/output examples look like? This is a tricky question to answer in general, as any function matching the outputs on those examples can in principle be a correct extrapolant. We argue that a "good" extrapolant should follow certain kinds of rules, and here we study a particularly appealing criterion for rule-following in list functions: that the function should behave predictably even when certain elements are removed. In functional prog…

Hey Irish banks hows it goin?

Phase Evolution and Substrate-Dependent Nucleation of Quartz GeO$_2$ Films Grown by MOCVD on r- and c-Plane Sapphires
Botong Li, Imteaz Rahaman, Hunter Ellis, Bobby G. Duersch, Kathy Anderson, Kai Fu
https://arxiv.org/abs/2506.09380

Phase Evolution and Substrate-Dependent Nucleation of Quartz GeO$_2$ Films Grown by MOCVD on r- and c-Plane Sapphires
Ultrawide-bandgap (UWBG) semiconductors, such as GeO$_2$, are gaining significant attention for their potential in high-performance applications, particularly in piezoelectric devices. Despite extensive research, a comprehensive understanding of the growth dynamics and phase evolution of GeO$_2$ films via metal-organic chemical vapor deposition (MOCVD) remains insufficient. In this study, we investigate the growth behavior and morphological evolution of GeO$_2$ thin films on r-plane and c-plane…

Deep Potential-Driven Molecular Dynamics of CO Ice Analogues: Investigating Desorption Following Vibrational Excitation
Maxime Infuso, Samuel Del Fr\'e, Gilberto A. Alou, Mathieu Bertin, Jean-Hugues Fillion, Alejandro Rivero Santamar\'ia, Maurice Monnerville
https://arxiv.org/abs/2506.10882…

Deep Potential-Driven Molecular Dynamics of CO Ice Analogues: Investigating Desorption Following Vibrational Excitation
We present a new deep learning-based machine learning potential (MLP) for molecular dynamics simulations of solid carbon monoxide (CO), capable of accurately describing CO vibrations both in the fundamental state and in highly excited vibrational states, up to approximately v = 40. The MLP is based on the combination of high-dimensional neural network atomic potentials using the DeePMD-kit package, trained on prior ab initio molecular dynamics (AIMD) data, with selective treatment of the excite…

The unexplained death of a top Russian oilexecutive on July 4 is fueling renewed scrutiny over the rising number of high-profile Russian officials and businessmen who have died under mysterious circumstances -- specifically, have fallen out of windows.
Andrei Badalov, vice president of Transneft, Russia's largest state-controlled pipeline transport company, died after falling from the window of his apartment in Moscow.
Russian state news agency TASS, citing law enforcement sour…

Death of top Russian oil executive fuels fresh scrutiny of elite's 'window falls'
The unexplained death of a top Russian oil executive on July 4 is fueling renewed scrutiny over the rising number of high-profile Russian officials and businessmen who have died under mysterious circumstances, specifically, have fallen out of windows. Andrei Badalov, vice president of Transneft, Russia's largest state-controlled pipeline transport company, died after falling from the window of his apartment in Moscow. Russian state news agency TASS, citing law enforcement sources, claimed the

Virasoro constraints for Hodge integrals
Xin Wang
https://arxiv.org/abs/2506.10033 https://arxiv.org/pdf/2506.10033

Virasoro constraints for Hodge integrals
The purpose of this paper is to study Virasoro constraints for Hodge integrals in Gromov-Witten theory of any target varieties. Results consist of the following: Firstly, we propose Virasoro conjecture for Hodge integrals in Gromov-Witten theory of any target varieties; Secondly, we prove Virasoro constraints for Hodge integrals in genus zero of any target varieties; Thirdly, we prove the genus-1 $L_1^{\mathbb{E}}$ constraint with one Hodge character class insertion for any target varieties; La…

Sensitivity and transitivity for the induced maps on symmetric product suspensions of a topological space
Hongbo Zeng
https://arxiv.org/abs/2506.10455 http…

Sensitivity and transitivity for the induced maps on symmetric product suspensions of a topological space
Given a nondegenerate compact perfect and Hausdorff topological space $X$,$n\in \mathbb{N}$ and a function $f:X\rightarrow X$, we consider the $n$-fold symmetric product of $X$, $F_n(X)$ and the induced function $F_n(f):F_n(X)\rightarrow F_n(X)$. If $n\geq2$, we consider the $n$-fold symmetric product suspension of $X$, $SF_n(X)$ and the induced function$SF_n(f):SF_n(X)\rightarrow SF_n(X)$. In this paper, we study the relationships between the following statements: (1) $f\in \mathcal{M}$,(2) $F…