The Euler formula, sometimes also called the Euler identity (e.g., Trott 2004, p. 174), states.
Euler Formula
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Lasers are great for heating things up, whether you need to do it quickly, hit a precise target, or do it from a distance. Under specific conditions, lasers can also cool things down, and that might be JUST what we need to tackle way-too-toasty data centers.
Using the unique infrared sensitivity of NASA’s James Webb Space Telescope, researchers can examine ancient galaxies to probe secrets of the early universe. Now, an international team of astronomers has identified bright hydrogen emission from a galaxy in an unexpectedly early time in the universe’s history. The surprise finding is challenging researchers to explain how this light could have pierced the thick fog of neutral hydrogen that filled space at that time.
The Webb telescope discovered the incredibly distant galaxy JADES-GS-z13-1, observed to exist just 330 million years after the big bang, in images taken by Webb’s NIRCam (Near-Infrared Camera) as part of the James Webb Space Telescope Advanced Deep Extragalactic Survey (JADES). Researchers used the galaxy’s brightness in different infrared filters to estimate its redshift, which measures a galaxy’s distance from Earth based on how its light has been stretched out during its journey through expanding space.
Amodei stressed that the integration of AI into daily life in the coming years should be a boon to humanity, not a menace or a job-destroying machine.
Artificial neural nets, called spiking neural networks (SNNs), could be used to create intelligent robots, or to better understand the underpinnings of the brain itself. Now researchers in India have achieved ultra-low energy artificial neurons that allow the SNNs to be more compactly arranged.
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Blog post with audio player, show notes, and transcript: https://www.preposterousuniverse.com/podcast/2025/04/14/311-…ndamental/
Questions about consciousness range from the precise and empirical — what neurons fire when I have some particular experience — to the deeply profound — does consciousness emerge from matter, or does matter emerge from consciousness? While it might be straightforward to think that consciousness arises from the collective behavior of atoms in the brain, Annaka Harris and others argue that consciousness could be the fundamental stuff from which matter arises. She talks with a variety of experts in her new audio series, Lights On: How Understanding Consciousness Helps Us Understand the Universe.
Annaka Harris received a BFA from New York University. She is the author of Consciousness: A Brief Guide to the Fundamental Mystery of the Mind. She is a co-founder of Project Reason.
Mindscape Podcast playlist: https://www.youtube.com/playlist?list=PLrxfgDEc2NxY_fRExpDXr87tzRbPCaA5x.
Sean Carroll channel: https://www.youtube.com/c/seancarroll.
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