Tootfinder

Combinatorial and Gaussian Foundations of Rational Nth Root Approximations: Theorems and Conjectures
Isaac Wolford
https://arxiv.org/abs/2508.14095 https://

Combinatorial and Gaussian Foundations of Rational Nth Root Approximations: Theorems and Conjectures
We present an approach (the biroot method) for nth root approximation that yields closed-form rational functions with coefficients derived from binomial structures, Gaussian functions, or qualifying DAG structures. The method emerges from an analysis of Newton's method applied to root extraction, revealing that successive iterations generate coefficients following rows of Pascal's triangle in an alternating numerator-denominator pattern. After further exploration of these patterns, we formulate…

Inclusion Arena: An Open Platform for Evaluating Large Foundation Models with Real-World Apps
Kangyu Wang, Hongliang He, Lin Liu, Ruiqi Liang, Zhenzhong Lan, Jianguo Li
https://arxiv.org/abs/2508.11452

Inclusion Arena: An Open Platform for Evaluating Large Foundation Models with Real-World Apps
Large Language Models (LLMs) and Multimodal Large Language Models (MLLMs) have ushered in a new era of AI capabilities, demonstrating near-human-level performance across diverse scenarios. While numerous benchmarks (e.g., MMLU) and leaderboards (e.g., Chatbot Arena) have been proposed to help evolve the development of LLMs and MLLMs, most rely on static datasets or crowdsourced general-domain prompts, often falling short of reflecting performance in real-world applications. To bridge this criti…

• Foundations for OT Cybersecurity: Asset Inventory Guidance for Owners and Operators
13 August 2025
site: https://www.cisa.gov/resources-tools/resources/foundations-ot-cybersecurity-asset-inventory-guidance-owners-a…

Tubi announces plans to distribute 20 films funded on Kickstarter, starting in the fall, and to invest in Kickstarter's FilmStream Collective Fund (Charles Pulliam-Moore/The Verge)
https://www.theverge.com/news/684374/tubi-kickstarter-initiative

Kickstarter-funded films are coming to Tubi
Tubi and Kickstarter are partnering to bring a selection of crowdfunded movies to the upstart streamer.

Now personally, I'm not invested in the law and I reject the logical underpinnings of the whole thing. The US is founded on land that already had people on it, that already had multiple systems of authority, so there can be no claim that it has any legal authority to exist at all.
But it's hard to ignore the inconsistency here. Accepting the logic from the Declaration of Independence and the Constitution, there is no way in which the current state can be legitimate and which Trump has the authority to do anything. The last legal president, again, following the logic that assumes such a thing even possible, was Barak Obama. Since the transfer of power, the country has failed to enforce the law.
If the executive cannot complete their oath, then they are considered vacant under the 25th amendment. If the cabinet fails to invoke article 4, then they too are involved in the insurrection (again, simply following the logic outlined pretty clearly here) as are any who would fail to support the invocation.
Since a full takeover of the federal government by insurrectionists wasn't really planned for, I'm guessing that it would necessarily go to the states, being the only remaining legal authority.

xAI co-founder Igor Babuschkin, who led its engineering teams, says he is leaving the company to launch a venture firm that supports AI research and startups (Maxwell Zeff/TechCrunch)
https://techcrunch.com/2025/08/13/co-founder-of-elon-musks-xai-departs-t…

Co-founder of Elon Musk's xAI departs the company | TechCrunch
Igor Babuschkin is leaving xAI less than three years after he co-founded the startup with Elon Musk, following a series of scandals at company.

It's #NoKings day!
🚫👑🚫👑🚫👑🚫
Be loud. Be heard. Be safe.
⸻
EFF Protest Guide:
•⁠📱⁠https://mastodon.social/@eff/114678037068775207
Know Your Rights:
•⁠🚨⁠…

GENMANIP: LLM-driven Simulation for Generalizable Instruction-Following Manipulation
Ning Gao, Yilun Chen, Shuai Yang, Xinyi Chen, Yang Tian, Hao Li, Haifeng Huang, Hanqing Wang, Tai Wang, Jiangmiao Pang
https://arxiv.org/abs/2506.10966

GENMANIP: LLM-driven Simulation for Generalizable Instruction-Following Manipulation
Robotic manipulation in real-world settings remains challenging, especially regarding robust generalization. Existing simulation platforms lack sufficient support for exploring how policies adapt to varied instructions and scenarios. Thus, they lag behind the growing interest in instruction-following foundation models like LLMs, whose adaptability is crucial yet remains underexplored in fair comparisons. To bridge this gap, we introduce GenManip, a realistic tabletop simulation platform tailore…

China has expanded its media operations globally, filling the void left by Trump dismantling US-funded outlets in countries like Thailand and Nigeria (Wall Street Journal)
https://www.wsj.com/world/china/voice-of-america-china-russia-65f54e6a

The Wikimedia Foundation pauses an experiment that showed Wikipedia users AI-generated summaries at the top of some articles, following an editor backlash (Emanuel Maiberg/404 Media)
https://www.404media.co/wikipedia-pauses-ai-generated-summa…

Wikipedia Pauses AI-Generated Summaries After Editor Backlash
“This would do immediate and irreversible harm to our readers and to our reputation as a decently trustworthy and serious source,” one Wikipedia editor said.