Tootfinder

Would love to have this in a normal-priced car. #carplayultra https://www.youtube.com/watch?v=EQlLjVraA9g

Rethinking Competition as a Non-Beneficial Mechanism in Economic Systems
Marcelo S. Tedesco, Gonzalo Marquez
https://arxiv.org/abs/2506.11405 https://

Rethinking Competition as a Non-Beneficial Mechanism in Economic Systems
Persistent economic competition is often justified as a mechanism of innovation, efficiency, and welfare maximization. Yet empirical evidence across disciplines reveals that competition systematically generates fragility, inequality, and ecological degradation, emergent outcomes not of isolated failures but of underlying systemic dynamics. This work reconceptualizes economic ecosystems as real complex adaptive systems, structurally isomorphic with biological and social ecosystems. Integrating c…

Sources: Apple may announce new features for AirPods at WWDC, including iPhone camera control, new head gestures, and sleep detection for pausing playback (Marcus Mendes/9to5Mac)
https://9to5mac.com/2025/06/04/exclusive-airpods-ios-26-wwdc-features/…

Exclusive: AirPods to get camera control, sleep detection, new gestures - 9to5Mac
Today, we are sharing a five previously unreported AirPods features that may be announced as early as Monday, during the WWDC25 keynote.

On the methods of reduction of some types of Marczerwski-Burstin measurable functions to continuous functions on products of perfect sets
Waldemar Ho{\l}ubowski, S{\l}awomir Kusi\'nski
https://arxiv.org/abs/2506.06458

On the methods of reduction of some types of Marczerwski-Burstin measurable functions to continuous functions on products of perfect sets
In this paper we provide product-wise generalizations of certain Marczewski-Burstin bases such as sets with (s)-property and completely Ramsey sets. For each of those we prove - as an analog of classical Luzin's and Eggleston's theorems that functions measurable with respect to those families can be reduced to continuous functions on a product of perfect sets. Moreover we also provide a way to reduce sequences of such functions to continuity, providing generalizations to Laver's extension of Ha…