Tootfinder

Orlando Brown expects more from 'special' Bengals offense after Ja'Marr Chase, Tee Higgins deals https://www.nfl.com/news/orlando-brown-expecting-more-from-special-bengals-offense-following-ja-…

Filing: Intel is laying off 5,000 employees across California, Oregon, Texas, and Arizona; California cuts affect 1,935, more than double the initial estimates (Nathan Owens/Manufacturing Dive)
https://www.manufacturingdive.com/news/int

Intel layoffs exceed 5,000 across US
The chipmaker more than doubled its anticipated job cuts in California, adding to its overall downsizing across four states.

plumbing adjustments
I tried every combination of elbow and T junction with the pump flowing at low and high speed to figure out which way looked best and directed the most water down to the bottom of the filter.
The conclusion was that there didn't seem to be much difference at all as far as water going down instead of spilling out the top unless I extend the breather pipe about 30cm over the water surface.
So aesthetics win. The pump hoses will lie as flat as possible into the filter and the breather is just above the water surface.
One hose is from the main pump in the pump bay. The other hose is from the pump in the pool pond that will draw water from the bottom of the pond and direct it to either the filter or the bottom sprayers/circulators or both.
I think that's all I will do today. I thought I might talk with some of the plumbing for the sprayers, but I don't feel like it lol.
This rubber mallet has saved me so much grunting and pulling lol. Highly recommend.
The ratchet pipe cutter is pretty awesome too. Worth every penny.
#poolpond #diy #backyardproject

Legendre-Gauss-Lobatto Collocation Method for Optimal Control via Polynomial Approximations of Differential Equation Vector Fields
Gabriela Abadia-Doyle, William W. Hager, Anil V. Rao
https://arxiv.org/abs/2506.13938

Legendre-Gauss-Lobatto Collocation Method for Optimal Control via Polynomial Approximations of Differential Equation Vector Fields
A new method is described for solving optimal control problems using direct collocation at Legendre-Gauss-Lobatto points. The approach of this paper employs a polynomial approximation of the right-hand side vector field of the differential equations and leads to the following important outcomes. First, the first-order optimality conditions of the LGL integral form are derived, which lead to a full-rank transformed adjoint system and novel costate estimate. Next, a derivative-like form of the LG…

Modica type estimates and curvature results for overdetermined $p$-Laplace problems
Yuanyuan Lian, Jing Wu
https://arxiv.org/abs/2506.14579 https://…

Modica type estimates and curvature results for overdetermined $p$-Laplace problems
In this paper we prove Modica type estimates for the following overdetermined $p$-Laplace problem \begin{equation*} \begin{cases} \mathrm{div} \left(|\nabla u|^{p-2}\nabla u\right)+f(u) =0& \mbox{in $Ω$, } u>0 &\mbox{in $Ω$, } u=0 &\mbox{on $\partialΩ$, } \partial_ν u=-κ&\mbox{on $\partialΩ$, } \end{cases} \end{equation*} where $1

Space-time fractional stochastic partial differential equations driven by L\'evy white noise
Yuhui Guo, Jiang-Lun Wu
https://arxiv.org/abs/2506.12834 h…

Space-time fractional stochastic partial differential equations driven by Lévy white noise
This paper is concerned with the following space-time fractional stochastic nonlinear partial differential equation \begin{equation*} \left(\partial_t^β+\fracν{2}\left(-Δ\right)^{α/ 2}\right) u=I_{t}^γ\Big[ f(t,x,u)-\sum_{i=1}^{d} \frac{\partial}{\partial x_i} q_i(t,x,u)+ σ(t,x,u) F_{t,x}\Big] \end{equation*} for a random field $u(t,x):[0,\infty)\times\mathbb{R}^d \mapsto\mathbb{R}$, where $α>0, β\in(0,2), γ\ge0, ν>0, F_{t,x}$ is a Lévy space-time white noise, $I_{t}^γ$ stands for…

Instead of spending an excessive amount of time browsing my Mastodon feed, I found myself dedicating more time to reading books on topics that interest me, such as syndicalism and anarchism.
Deciding to step back from Mastodon following my extensive post on August 4 has proven to be a positive choice. While I occasionally check the news here, I spend most of my time elsewhere, engaged in other activities.

War is an unconscionable horror. The illusions of "international law" and "rules of war" have lead us to believe that war can be clean, managed, and "civilized."
But wars are fought by humans and humans are messy. Humans are not well suited to following orderly rules. Humans respond to their environment. Humans in extraordinary situations can be extraordinarily vindictive and brutal. Sufficiently traumatized humans can act without a conscience, spreading trauma like an infection. If humans respond to their situation, then there can be no "civilized" war because war is itself an situation outside of the society. It is a place that promotes antisocial behavior and punishes pro-social behavior. War cannot be expected to follow "international law" because it is what fills the void created by the failure of "international law" (so long as we rely on nations).
To call for war is to inflict atrocities on civilians. It is to kill the parents and children who serve, and to destroy the combatants who survive. It is to infect both sides with a trauma that will spread if untreated, when soldiers come home or when they become mercenaries in other wars.
And yet... there are times when the brutality, the incompetence, the evil becomes so unbearable that no other option exists, when taking up arms is simply bringing symmetry to an existing asymmetric conflict. There are times when the worst possible thing is inescapable, though it can never be justified.
In this new era of war, in the scramble of conflict under the collapsing of the (poorly named) "Pax Americana," I hope that we, the people, can understand that war is not a tool to fulfill an objective. It is not part of a larger strategy. It is not an extension of deplomacy.
War is a failure.
While it may be the only way to deal with the irrational - the genocidal, the slaver, the dictator - it is still a failure. It is a failure to build a world in which these people can't control armies and economies, can't turn populations in to cults and bend nations to their will.
And we will continue to have such wars until we unite against those who would use as as pawns, who would control our lives and lead us to our deaths. We will have these wars until we unite, as one world, against those rulers. This is what I mean, and what a lot of other people mean, when we say, "No War, but Class War."

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D
Fabio Leotta
https://arxiv.org/abs/2506.13221

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D
We derive conditional a priori error estimates of a wide class of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D via the verification of weak consistency and entropy stability, as recently proposed by Bressan et al.~\cite{BressanChiriShen21}. Convergence in $L^\infty L^1$ with rate $h^{1/3}$ is obtained under a time step restriction $τ\leq ch$, provided the following conditions hold: the exact solution is pi…

A degree-counting formula for a Keller-Segel equation on a surface with boundary
Mohameden Ahmedou, Zhengni Hu, Heming Wang
https://arxiv.org/abs/2506.12783

A degree-counting formula for a Keller-Segel equation on a surface with boundary
In this paper, we consider the following Keller-Segel equation on a compact Riemann surface $(Σ, g)$ with smooth boundary $\partialΣ$: \[ -Δ_g u = ρ\Big(\frac{V e^u}{\int_Σ V e^u \mathrm{d} v_g} - \frac{1}{|Σ|_g}\Big) \text{ in } Σ, \quad \text{ with } \partial_{ν_g} u = 0 \text{ on } \partial Σ, \] where $V$ is a smooth positive function on $Σ$ and $ρ> 0$ is a parameter. We perform a refined blow-up analysis of bubbling solutions and establish sharper a priori esti…