Tootfinder

Streit um Blutsauerstoffmessung: Apple Watch in den USA wieder vor Gericht
Apple zofft sich seit 2021 mit Masimo um eine mögliche Patentverletzung bei der Apple Watch. Nun wurde Berufung eingelegt.

Re-ranking 2021 NFL Draft by position: Where do Trevor Lawrence, Micah Parsons fall? https://www.nytimes.com/athletic/6400472/2025/06/05/nfl-draft-2021-micah-parsons-trevor-lawrence/

DoorDash, Uber, and Grubhub agree to settle a 2021 lawsuit against New York City over its pandemic-era 15% cap to commissions and fees charged to restaurants (Malathi Nayak/Bloomberg)
https://www.bloomberg.com/news/articles/20

The $3$-sparsity of $X^n-1$ over finite fields
Kaimin Cheng
https://arxiv.org/abs/2507.06655 https://arxiv.org/pdf/2507.06655

The $3$-sparsity of $X^n-1$ over finite fields
Let $q$ be a prime power and $\mathbb{F}_q$ the finite field with $q$ elements. For a positive integer $n$, the binomial $f_n(X):= X^n-1\in\mathbb{F}_q[X]$ is called $3$-sparse over $\mathbb{F}_q$ if each irreducible factor of $f_n(X)$ over $\mathbb{F}_q$ is either a binomial or a trinomial. In 2021, Oliveira and Reis characterized all positive integers $n$ for which $f_n(X)$ is $3$-sparse over $\mathbb{F}_q$ when $q = 2$ and $q = 4$, and posed the open problem of whether, for any given $q$, th…

THEME FROM LUPIN Ⅲ 2021［Live Music Video］| ルパン三世のテーマ2021 (Special Studio...
https://youtube.com/watch?v=l0nYMRz1IfU&si=EDIYvjUKhQgkJDxr

Wren Loud and Bold Ambient (2021-06) - Ambient soundscape from 16WW back garden birdlife; small bird makes big noise! #wren #soundscape #fieldRecording -

Check Point acquires Israeli cyber startup firm Veriti for $100 million
https://www.ynetnews.com/business/article/byjdi4emee

Check Point acquires Israeli cyber startup firm Veriti for $100 million
The Israeli company, founded in 2021 by Check Point alumni, has developed a platform for identifying and fixing security gaps in real time 30 Veriti employees will join Check Point as part of the deal, which is a continuation of the company's Israeli acquisition strategy

Senior State Department staffer Darren Beattie,
a passionate Putin supporter behind the move to dismantle a key agency fighting Russian propaganda,
is married to a Russian woman whose uncle is a longtime Kremlin ally, according to The Telegraph.
Yulia Kirillova grew up in Moscow, studied abroad in North America, and married Beattie in 2021 in Florida.
She moved to D.C. in January.
Her uncle Sergei Cherniko is a drinks magnate who had an estimated net worth of $1…

Trump Official Behind Controversial Russia Decision Has Kremlin Ties
Darren Beattie dismantled a key agency fighting Russian propaganda. There’s a reason why.

This https://arxiv.org/abs/2504.13658 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

SRGAJ230631.0+155633: an extremely X-ray luminous, heavily obscured, radio-loud quasar at z=0.44 discovered by SRG/ART-XC
We report on a detailed study of a luminous, heavily obscured ($N_{\rm H} \sim 2 \times 10^{23}$ cm$^{-2}$), radio-loud quasar SRGAJ230631.0+155633, discovered in the 4--12 keV energy band by the Mikhail Pavlinsky ART-XC telescope aboard the SRG observatory during the first two years of its all-sky X-ray survey in 2020--2021. The object is located at $z=0.4389$ and is a type 2 AGN according to optical spectroscopy (SDSS, confirmed by DESI). We combine radio-to-X-ray data, including near-simulta…

2021: There is no #AI, I'm doing my own laundry.
2023: CEOs are saying that AI is coming and will do your laundry.
2025: There is AI. I'm still doing my own laundry.
2027?: I'm doing the AI's laundry.

This https://arxiv.org/abs/2412.13191 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Moment-sos and spectral hierarchies for polynomial optimization on the sphere and quantum de Finetti theorems
We revisit the convergence analysis of two approximation hierarchies for polynomial optimization on the unit sphere. The first one is based on the moment-sos approach and gives semidefinite bounds for which Fang and Fawzi (2021) showed an analysis in $O(1/r^2)$ for the r-th level bound, using the polynomial kernel method. The second hierarchy was recently proposed by Lovitz and Johnston (2023) and gives spectral bounds for which they show a convergence rate in $O(1/r)$, using a quantum de Finet…

This https://arxiv.org/abs/2411.13818 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Proof of Merca's stronger conjecture on truncated Jacobi triple product series
In the study of theta series and partition functions, Andrews and Merca, Guo and Zeng independently conjectured that a truncated Jacobi triple product series has nonnegative coefficients. This conjecture was proved analytically by Mao and combinatorially by Yee. In 2021, Merca proposed a stronger version of the conjecture, that is, for positive integers $1\leq S

Temporally Extending Existing Web Archive Collections for Longitudinal Analysis
Lesley Frew, Michael L. Nelson, Michele C. Weigle
https://arxiv.org/abs/2505.24091

Temporally Extending Existing Web Archive Collections for Longitudinal Analysis
The Environmental Governance and Data Initiative (EDGI) regularly crawled US federal environmental websites between 2016 and 2020 to capture changes between two presidential administrations. However, because it does not include the previous administration ending in 2008, the collection is unsuitable for answering our research question, Were the website terms deleted by the Trump administration (2017--2021) added by the Obama administration (2009--2017)? Thus, like many researchers using the Way…

Inner disc and circumplanetary material in the PDS 70 system
Daniele Fasano, Myriam Benisty, Pietro Curone, Stefano Facchini, Francesco Zagaria, Tomohiro C. Yoshida, Kiyoaki Doi, Anibal Sierra, Sean Andrews, Jaehan Bae, Andrea Isella, Nicol\'as T. Kurtovic, Laura M. P\'erez, Paola Pinilla, Luna Rampinelli, Richard Teague
https://

Inner disc and circumplanetary material in the PDS 70 system
The two giant protoplanets directly imaged in the dust-depleted cavity of PDS 70 offer a unique opportunity to study ongoing planet formation. Both planets have been detected in infrared thermal emission and in H$α$, indicating active accretion. We calibrate and analyse archival ALMA Band 6 and 7 observations of PDS 70 from 2019, 2021, and 2023 to search for circumplanetary material and assess its motion. Using 2D visibility modelling of the high-resolution (~0.11"x0.08" in Band 6; ~0.05"x0.05…

Chiefs WR Hollywood Brown vows to get back to 'best self' https://www.espn.com/nfl/story/_/id/45531855/chiefs-kansas-city-hollywood-brown-injury-history-2025

Henry Ruggs breaks silence on fatal car crash, says he would 'love' to play for Raiders again

https://www.cbssports.com/nfl/news/henry-r