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Blog – Page 1141

This is a series of videos that I decided to make on Georg Cantor’s groundbreaking works published in 1,895 and 1,897 titled Contributions to the Founding of the Theory of Transfinite Numbers.

This work could probably be counted among the most influential and significant works in mathematical history — Cantor’s transfinite numbers changed the face of mathematics completely (although, not to everyone’s pleasure). The impact of Cantor’s work can’t be underestimated.

In this series of videos I will go through the definitions of aggregate, cardinal numbers, simply ordered aggregates, ordinal types and ordinal numbers amongst others. I will also go through some of the properties of these objects including arithmetical operations of cardinal numbers and ordinal types and culminating in the arithmetic of the ordinal numbers of the second number class.

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Virgin Galactic is using its SpaceShipTwo to launch the final commercial flight of VSS Unity. This is the 17th flight of the VSS Unity, before the company plans to upgrade the vehicle.

The commercial crew on this mission is composed of a researcher affiliated with Axiom Space, two private Americans, and a private Italian. The Virgin Galactic crew on Unity will be Commander Nicola Pecile and pilot Jameel Janjua.

The ‘Galactic 07’ autonomous rack-mounted research payloads will include a Purdue University experiment designed to study propellant slosh in fuel tanks of maneuvering spacecraft, as well as a UC Berkeley payload testing a new type of 3D printing.

Expected Takeoff: 10:30 a.m. Eastern Time.

Continue reading “Virgin Galactic Launches Crewed Galactic 07 Mission” | >

But behind that wave of unreliable garbage, some amazing features emerge from using AI models. Apple has the chance to depict itself as the adult in the room, a company committed to using AI for features that make its customers’ lives better–not competing to do the best unreproducible magic trick on stage.

In doing so, it risks being seen as dowdy and behind. But if Apple can see beyond the latest tech-industry hype cycle–and it’s generally good at doing that–it can bet on iPhone users being more interested in real features than impractical nonsense.

Historically, Apple has been a company with a very strong philosophy about new technologies: they should be applied to solving the problems of real people. Most tech companies have historically had this backward: they take delivery of some whizzy new technology fresh off a manufacturer’s conveyor belt and shove it into a product. The result tends to be products that are solutions desperately searching for problems.

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Physicists have linked the Doppler effect to heat transport, suggesting wave-like properties in biological tissues, with implications for medical and cosmetic technologies.

When a train approaches or an ambulance with its siren blaring nears us, we hear the sound with an increased frequency, which gradually decreases. As it passes, the frequency changes abruptly to a lower one, then decreases further. This commonly encountered phenomenon, known as the Doppler effect, can offer valuable insights into a seemingly unrelated field: heat transport.

The Physics of Heat Transport.

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As for how Hugging Face’s Le Robot team ended up collaborating with Pollen Robotics, Cadene told VentureBeat that it was a natural alliance born out of geographic proximity and overlapping areas of research interest.

“We closely follow Pollen Robotics work and are amazed by their robots,” Cadene wrote. “We were looking for humanoid robots. They were looking for end-to-end training software. So the collaboration between Pollen with their robot Reachy and Hugging Face with LeRobot was natural, especially [since] they are located two hours away from our [Le Robot] lab in Paris, so we just visited them for a few days.”

Pollen Robotics has a rich history of developing accessible and open-source technologies for real-world applications. The company began in 2013 with Poppy, what it says was the first 3D printed open-source humanoid robot, designed for research purposes.

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