Tootfinder

Walging, walging en nog eens walging, dat roepen deze beelden bij mij op.
https://www.rtl.nl/nieuws/video/c275b611-c

Kijk terug: de opmerkelijkste momenten van de NAVO-top
Nu de NAVO-top afgelopen is, zetten we de belangrijkste momenten nog even voor je op een rijtje. Trump is blij met het akkoord van de NAVO-lidstaten om de defensie-uitgaven te verhogen; Zelensky ontvangt een staande ovatie van de Tweede Kamer, en Trump gaat op de foto met Willem-Alexander en Máxima.

Camp Captures: Building momentum before pads https://www.dallascowboys.com/news/camp-captures-building-momentum-before-pads

Pörriäisniityt ovat elintärkeitä luonnon monimuotoisuudelle, ruokaturvalle ja ympäristökasvatukselle #luonto

Pörriäisniityt ovat elintärkeitä luonnon monimuotoisuudelle, ruokaturvalle ja ympäristökasvatukselle
Pölyttäjäystävällisten alueiden lisääminen on mielipidekirjoittajan mukaan yhteiskunnallinen velvollisuus.

Memento: Note-Taking for Your Future Self
Chao Wan, Albert Gong, Mihir Mishra, Carl-Leander Henneking, Claas Beger, Kilian Q. Weinberger
https://arxiv.org/abs/2506.20642

Memento: Note-Taking for Your Future Self
Large language models (LLMs) excel at reasoning-only tasks, but struggle when reasoning must be tightly coupled with retrieval, as in multi-hop question answering. To overcome these limitations, we introduce a prompting strategy that first decomposes a complex question into smaller steps, then dynamically constructs a database of facts using LLMs, and finally pieces these facts together to solve the question. We show how this three-stage strategy, which we call Memento, can boost the performanc…

Approximating the order 2 quantum Wasserstein distance using the moment-SOS hierarchy
Saroj Prasad Chhatoi, Victor Magron
https://arxiv.org/abs/2506.20006 …

Approximating the order 2 quantum Wasserstein distance using the moment-SOS hierarchy
Optimal transport theory has recently been extended to quantum settings, where the density matrices generalize the probability measures. In this paper, we study the computational aspects of the order 2 quantum Wasserstein distance, formulating it as an infinite dimensional linear program in the space of positive Borel measures supported on products of two unit spheres. This formulation is recognized as an instance of the Generalized Moment Problem, which enables us to use the moment-sums of squ…

A Charge Constraint in BMN
Yoav Zigdon
https://arxiv.org/abs/2506.19924 https://arxiv.org/pdf/2506.19924

A Charge Constraint in BMN
I derive a new charge constraint that ties the four angular momenta in a $\frac{1}{16}$-BPS sector of the Berenstein, Maldacena, and Nastase (BMN) supersymmetric $U(N)$ matrix quantum mechanics. The result is related to the charge constraint of the $U(N)$, $\mathcal{N}=4$ Super-Yang-Mills (SYM) conformal field theory by identifying three SYM charges with three BMN angular momenta generating $SO(6)$, two equal SYM angular momenta with a BMN angular momentum of $SO(3)$, and scaling $N^2$ by $3$. …

Ich gebe in diesem Moment eine Präsentation über Mastodon :mastodon: an der Leibnizschule Hannover 🚩

I don't know why, but on #NixOS 25.05 I'm back again keeping my worktree nice and DIRTY so I can use :gitannex: #gitAnnex'ed files. 🙄

On the Moments of Exponential Sums over r-Free Polynomials
Ben Doyle
https://arxiv.org/abs/2506.20581 https://arxiv.org/pdf/2506.2058…

On the Moments of Exponential Sums over r-Free Polynomials
Let $\mathbb{F}_q[t]$ denote the ring of polynomials over the finite field $\mathbb{F}_q$. Building off of techniques of Balog and Ruzsa and of Keil in the integer setting, we determine the precise order of magnitude of $k$th moments of exponential sums over $r$-free polynomials in $\mathbb{F}_q[t]$ for all $k>0$. In the supercritical case $k>1+1/r$, we acquire an asymptotic formula using a function field analogue of the Hardy-Littlewood circle method.

Kinetic contribution to the arbitrary order odd frequency moments of the dynamic structure factor
Panagiotis Tolias, Tobias Dornheim, Jan Vorberger
https://arxiv.org/abs/2508.17810

Kinetic contribution to the arbitrary order odd frequency moments of the dynamic structure factor
An exact expression is derived for the kinetic contribution to the odd (arbitrary order) frequency moments of the dynamic structure factor via a finite summation that features averages of even (all lower orders) powers of the momentum over the exact momentum distribution. The derivation is carried out for the non-interacting Fermi gas and generalized to the interacting case based on the conjecture that averages over the Fermi distribution can be substituted with averages over the exact distribu…