Apr 28, 2024
CATL’s new LFP battery promises 600-kms range in 10-min charge
Posted by Gemechu Taye in category: mathematics
If you do the math, it means CATL is offering an impressive charging rate of roughly 1 km/sec in a 10 minute quick charge.
If you do the math, it means CATL is offering an impressive charging rate of roughly 1 km/sec in a 10 minute quick charge.
Sir Roger Penrose proposes that the universe undergoes repeated cycles of expansion, decay, and rebirth, challenging the traditional notion of a singular Big Bang origin.
Renowned physicist Sir Roger Penrose, hailing from the University of Oxford and a co-recipient of the 2020 Nobel Prize in Physics, posits a fascinating theory regarding the universe’s cyclical nature. Contrary to prevailing notions, Penrose suggests that our universe has undergone numerous Big Bang events, with another impending in the future.
Penrose’s Nobel-winning contributions revolve around advancing mathematical frameworks that not only validate but also extend Albert Einstein’s general theory of relativity. Moreover, his investigations into black holes elucidated the phenomenon of gravitational collapse, wherein excessively dense entities converge into singularities, infinitely massive points.
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Continue reading “What Was There Before the Big Bang? 3 Good Hypotheses!” »
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The Future of Humanity Institute announced last week that they have shut down. Located at the University of Oxford in the UK prior to its demise, the institute was one of the few places worldwide studying the risk of human extinction and a few other controversial research areas. Let’s have a look at the events leading to the institute’s closure.
Continue reading “Institute for Extinction Risk Shuts Down: What We Know” »
Mathematicians have the tools to explore worlds of 2, 3 and 5+ dimensions. But the fourth dimension remains mysterious and elusive. Topologists are trying to change that, one problem at a time.
Topologists prove two new results that bring some order to the confoundingly difficult study of four-dimensional shapes.
👉 Researchers have developed a method called Selective Language Modeling (SLM), which trains language models more efficiently by focusing on the most relevant tokens.
Researchers introduce a new method called “Selective Language Modeling” that trains language models more efficiently by focusing on the most relevant tokens.
The method leads to significant performance improvements in mathematical tasks, according to a new paper from researchers at Microsoft, Xiamen University, and Tsinghua University. Instead of considering all tokens in a text corpus equally during training as before, Selective Language Modeling (SLM) focuses specifically on the most relevant tokens.
Continue reading “Selective language modeling: New method allows for better models with less data” »
In principle, one shouldn’t compare apples to oranges. However, in topology, which is a branch of mathematics, one must do just that. Apples and oranges, it turns out, are said to be topologically the same since they both lack a hole—in contrast to doughnuts or coffee cups, for instance, which both have one (the handle in the case of the cup), and thus are topologically equal.
Check out the math & physics courses that I mentioned (many of which are free!) and support this channel by going to https://brilliant.org/Sabine/ where you can create your Brilliant account. The first 200 will get 20% off the annual premium subscription. You have probably heard people saying that the problem with quantum mechanics is that it’s non-local or that it’s impossible to understand or that it defies common sense. But the problem is much simpler, it’s that quantum mechanics is a linear theory and therefore doesn’t correctly reproduce chaos. Physicists have known this for a long time but it’s rarely discussed. In this video I explain what the problem is, what physicists have done to try and solve it, and why that solution doesn’t work. Subscribe to my weekly science newsletter: https://sabinehossenfelder.com/ You find the estimate for Saturn’s moon Hyperion in Zurek’s review https://arxiv.org/abs/quant-ph/0105127 A much easier to digest and more readable review by Michael Berry is here: https://michaelberryphysics.files.wor… you can find a brief summary on Sean Carroll’s blog https://www.preposterousuniverse.com/… 0:00 Intro 0:27 The trouble with Hyperion 4:04 The alleged solution 6:02 The trouble with the solution 7:46 What a real solution requires 10:31 Sponsor message.
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Physicists have known that it’s possible to control chaotic systems without just making them even more chaotic since the 1990s. But in the past 10 years this field has really exploded thanks to machine learning.
Continue reading “How Chaos Control Is Changing The World” »
Physicists have just found something no one expected, lurking on the surface of an arsenic crystal.
While undertaking a study of quantum topology – the wave-like behavior of particles combined with the mathematics of geometry – a team found a strange hybrid of two quantum states, each describing a different means of current.
“This finding was completely unexpected,” says physicist M. Zahid Hasan of Princeton University. “Nobody predicted it in theory before its observation.”