Tootfinder

It is surprising how few people who serve on boards of directors of US non-profit corporations know about their responsibilities and usually know nothing about some of the risks, such as "Intermediate Sanctions" - Draconian.
And because those sanctions are an excise tax it is questionable whether they can be insured against via omissions and errors insurance.

Nearly-Optimal Consensus Tolerating Adaptive Omissions: Why is a Lot of Randomness is Needed?
Mohammad T. Hajiaghayi, Dariusz R. Kowalski, Jan Olkowski
https://arxiv.org/abs/2405.04762

Nearly-Optimal Consensus Tolerating Adaptive Omissions: Why is a Lot of Randomness is Needed?
We study the problem of reaching agreement in a synchronous distributed system by $n$ autonomous parties, when the communication links from/to faulty parties can omit messages. The faulty parties are selected and controlled by an adaptive, full-information, computationally unbounded adversary. We design a randomized algorithm that works in $O(\sqrt{n}\log^2 n)$ rounds and sends $O(n^2\log^3 n)$ communication bits, where the number of faulty parties is $Θ(n)$. Our result is simultaneously tight…

Ahead of a significant meeting next month for members of the federal judiciary, a watchdog group hoisted another red flag over U.S. Supreme Court Justice 🔸Clarence Thomas 🔸for what it says is a
👉 “30 year pattern” of cherry-picking his financial disclosures once he is raked in the press.
The renewed call for review of the long-embroiled justice comes exactly a month before the "Judicial Conference of the United States" convenes for its first of only two meetings this yea…

Watchdog raises red flag about Clarence Thomas, says research shows patterns of omission
A federal watchdog says they have observed a pattern for 30 years involving Supreme Court Justice Clarence Thomas and alleged omissions in financial disclosures when he faces bad press.

The Set-Theoretic Form of Twin Prime Distribution and Its Odd-Even Imbalance
HaoJie Huang
https://arxiv.org/abs/2404.02610 https://ar…

The Set-Theoretic Form of Twin Prime Distribution and Its Odd-Even Imbalance
The prime number problem falls within the realm of number theory, specifically elementary number theory. Current research approaches have unnecessarily complicated this matter. In contrast to more advanced mathematical tools, the methods of elementary number theory can effectively address the twin prime problem. The primary contribution of this article lies in establishing a set that systematically includes all twin prime pairs without omissions. This set's distribution is governed by a precise…

This https://arxiv.org/abs/2403.13016 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Neural Downscaling for Complex Systems: from Large-scale to Small-scale by Neural Operator
Predicting and understanding the chaotic dynamics in complex systems is essential in various applications. However, conventional approaches, whether full-scale simulations or small-scale omissions, fail to offer a comprehensive solution. This instigates exploration into whether modeling or omitting small-scale dynamics could benefit from the well-captured large-scale dynamics. In this paper, we introduce a novel methodology called Neural Downscaling (ND), which integrates neural operator techni…

Neural Downscaling for Complex Systems: from Large-scale to Small-scale by Neural Operator
Pengyu Lai, Jing Wang, Rui Wang, Dewu Yang, Haoqi Fei, Hui Xu
https://arxiv.org/abs/2403.13016

Neural Downscaling for Complex Systems: from Large-scale to Small-scale by Neural Operator
Predicting and understanding the chaotic dynamics in complex systems is essential in various applications. However, conventional approaches, whether full-scale simulations or small-scale omissions, fail to offer a comprehensive solution. This instigates exploration into whether modeling or omitting small-scale dynamics could benefit from the well-captured large-scale dynamics. In this paper, we introduce a novel methodology called Neural Downscaling (ND), which integrates neural operator techni…