Tootfinder

Chiefs bring back DT Derrick Nnadi in conditional pick swap with Jets https://www.nfl.com/news/chiefs-bring-back-dt-derrick-nnadi-in-conditional-pick-swap-with-jets

Finiteness conditions for lattices of monoid varieties
Sergey V. Gusev
https://arxiv.org/abs/2507.18257 https://arxiv.org/pdf/2507.18257

Finiteness conditions for lattices of monoid varieties
We classify all varieties of aperiodic monoids with central idempotents whose subvariety lattice is finite or satisfies the descending chain condition or satisfies the ascending chain condition. It turns out that for varieties in this class, the properties of having a finite subvariety lattice and a subvariety lattice satisfying the ascending chain condition are equivalent, and thus the property of having a subvariety lattice satisfying the ascending chain condition implies the one of having a …

Source: Founders Fund and Dragoneer have committed to investing $1B each in OpenAI's second, $30B installment of its $40B round announced in March (Sri Muppidi/The Information)
https://www.theinformation.com/articles/founders-fund-dragon…

Founders Fund, Dragoneer Each Commit $1 Billion–Plus to OpenAI Deal
As OpenAI tries to raise a record-breaking $40 billion in equity funding this year, it’s getting help from more of its existing investors. Peter Thiel’s Founders Fund and Dragoneer Investment Group have committed to investing more than $1 billion each in the second, $30 billion installment of ...

Mean-Field Stochastic Linear-Quadratic Optimal Controls: Roles of Expectation and Conditional Expectation Operators
Hanxiao Wang, Jiongmin Yong
https://arxiv.org/abs/2507.16582

Mean-Field Stochastic Linear-Quadratic Optimal Controls: Roles of Expectation and Conditional Expectation Operators
This paper investigates a mean-field linear-quadratic optimal control problem where the state dynamics and cost functional incorporate both expectation and conditional expectation terms. We explicitly derive the pre-committed, na\"ıve, and equilibrium solutions and establish the well-posedness of the associated Riccati equations. This reveals how the expectation and conditional expectation operators influence time-consistency.

Ancient, eclipsing, tidally-locked: A blue lurker progenitor in the population of extreme-velocity star candidates
A. Bhat, M. Dorsch, S. Geier, U. Heber, H. Dawson, F. Mattig, D. Benitez-Palacios, Pablo Fernandez-Schlosse
https://arxiv.org/abs/2507.17101

Ancient, eclipsing, tidally-locked: A blue lurker progenitor in the population of extreme-velocity star candidates
Many extreme velocity candidate stars have been found based on \textit{Gaia} astrometry, but need spectroscopic confirmation. We select late-type hypervelocity star (HVS) candidates from the \textit{Gaia} DR3 catalog with a $1σ$ lower limit of the tangential velocity of 800 km\,s$^{-1}$. J1903-0023, one of the brightest targets, stands out as high priority candidate for follow-up spectroscopy using the X-shooter instrument at ESO-VLT. We determine its atmospheric parameters and abundances util…

reading Minneapolis mayoral candidate Omar Fateh's platform has me once again lamenting that in SF we couldn't even find someone to run, let alone win, with a platform like this.
note the "approaching homelessness with compassion" and "reforming public safety" sections. our quote-unquote progressive candidate didn't say anything like this.

Vision — Omar Fateh for Minneapolis Mayor

A Non-Commutative Kalb-Ramond Black Hole
A. A. Ara\'ujo Filho, N. Heidari, Iarley P. Lobo
https://arxiv.org/abs/2507.17390 https://arxiv.org/pdf/2507.1…

A Non-Commutative Kalb-Ramond Black Hole
This work presents a new black hole solution within the framework of a non-commutative gauge theory applied to Kalb-Ramond gravity. Using the method recently proposed in the literature [Nucl.Phys.B 1017 (2025) 116950], we employ the Moyal twist $\partial_r \wedge \partial_θ$ to implement non-commutativity, being encoded by parameter $Θ$. We begin by verifying that the resulting black hole no longer possesses spherical symmetry, while the event horizon remains unaffected by non-commutative cor…

A surge in AI-generated résumés is overwhelming employers, who are turning to AI screening and interviewing tools to assess responses and rank candidates (Sarah Kessler/New York Times)
https://www.nytimes.com/2025/06/21/business/dealbook/ai-job-applic…

Employers Are Buried in A.I.-Generated Résumés
Candidates are frustrated. Employers are overwhelmed. The problem? An untenable pile of applications — many of them generated with the help of A.I. tools.

Free commutative skew braces
Thomas Letourmy
https://arxiv.org/abs/2506.19765 https://arxiv.org/pdf/2506.19765

Free commutative skew braces
The main result of this paper is an explicit construction of the free commutative skew brace -- that is, a skew brace whose circle group is commutative -- on an arbitrary generating set $X$. We embed this object into a set of rational functions and show that a simple linear equation characterizes the image of this embedding. As a consequence, comparing elements in this skew brace is no more difficult than comparing elements in the free commutative group generated by $X$.