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Archive for the ‘mathematics’ category: Page 11

Jul 29, 2022

Does Superdeterminism save Quantum Mechanics? Or does it kill free will and destroy science?

Posted by in categories: mathematics, neuroscience, quantum physics, science

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.

This is a video I have promised you almost two years ago: How does superdeterminism make sense of quantum mechanics? It’s taken me a long time to finish this because I have tried to understand why people dislike the idea that everything is predetermined so much. I hope that in this video I have addressed the biggest misconceptions. I genuinely think that discarding superdeterminism unthinkingly is the major reason that research in the foundations of physics is stuck.

Continue reading “Does Superdeterminism save Quantum Mechanics? Or does it kill free will and destroy science?” »

Jul 28, 2022

Octonions —“May Harbor Secrets of the Universe”

Posted by in categories: mathematics, particle physics, space

“The final theory of nature must be octonionic,” observed Michael Atiyah, a British mathematician who united mathematics and physics during the 1960s in a way not seen since the days of Isaac Newton.

“Octonions are to physics what the Sirens were to Ulysses,” Pierre Ramond, a particle physicist and string theorist at the University of Florida, said to Natalie Walchover for Quanta.

Many physicists and mathematicians over the decades suspected that the peculiar panoply of forces and particles that comprise reality spring logically from the properties of eight-dimensional numbers called “octonions.” Proof surfaced in 1,898, writes Walchover in Quanta, that the reals, complex numbers, quaternions and octonions are the only kinds of numbers that can be added, subtracted, multiplied and divided.

Jul 27, 2022

Physicists Create New Phase of Matter With “Extra” Time Dimension

Posted by in categories: computing, mathematics, quantum physics

“It is very exciting to see this unusual phase of matter realized in an actual experiment, especially because the mathematical description is based on a theoretical ‘extra’ time dimension,” Philipp Dumitrescu, study co-author and research fellow at the Flatiron Institute’s Center for Computational Quantum Physics, told the magazine.

In order to successfully create the topological phase, and thus the “extra” dimension, the scientists targeted a quantum computer’s quantum bits — or qubits — with a quasi-periodic laser pulse based on the Fibonacci sequence. Think quasicrystal.

“The Fibonacci sequence is a non-repeating but also not totally random sequence,” study co-author Andrew Potter, a quantum physicist at the University of British Columbia, told Vice. “Which effectively lets us realize two independent time-dimensions in the system.”

Jul 21, 2022

Defense Department to fund Brown faculty work on neural networks for AI

Posted by in categories: mathematics, robotics/AI

George Karniadakis, a professor of applied math and engineering, was one of nine faculty scientists and engineers from across the U.S. to receive a Vannevar Bush Faculty Fellowship.

Jul 20, 2022

Go with the flow: New findings about moving electricity could improve fusion devices

Posted by in categories: mathematics, nuclear energy

Researchers at the U.S. Department of Energy’s (DOE) Princeton Plasma Physics Laboratory (PPPL) have found that updating a mathematical model to include a physical property known as resistivity could lead to the improved design of doughnut-shaped fusion facilities known as tokamaks.

“Resistivity is the property of any substance that inhibits the flow of electricity,” said PPPL physicist Nathaniel Ferraro, one of the collaborating researchers. “It’s kind of like the viscosity of a fluid, which inhibits things moving through it. For example, a stone will move more slowly through molasses than water, and more slowly through water than through air.”

Scientists have discovered a new way that can cause instabilities in the edge, where temperatures and pressures rise sharply. By incorporating resistivity into models that predict the behavior of plasma, a soup of electrons and that makes up 99% of the visible universe, scientists can design systems for future that make the plasma more stable.

Jul 17, 2022

AI Would Run the World Better Than Humans, Google Research Claims

Posted by in categories: economics, education, government, humor, information science, mathematics, robotics/AI

The bottomless bucket is Karl Marx’s utopian creed: “From each according to his ability, to each according to his needs.” In this idyllic world, everyone works for the good of society, with the fruits of their labor distributed freely — everyone taking what they need, and only what they need. We know how that worked out. When rewards are unrelated to effort, being a slacker is more appealing than being a worker. With more slackers than workers, not nearly enough is produced to satisfy everyone’s needs. A common joke in the Soviet Union was, “They pretend to pay us, and we pretend to work.”

In addition to helping those who in the great lottery of life have drawn blanks, governments should adopt myriad policies that expand the economic pie, including education, infrastructure, and the enforcement of laws and contracts. Public safety, national defense, dealing with externalities are also important. There are many legitimate government activities and there are inevitably tradeoffs. Governing a country is completely different from playing a simple, rigged distribution game.

I love computers. I use them every day — not just for word processing but for mathematical calculations, statistical analyses, and Monte Carlo simulations that would literally take me several lifetimes to do by hand. Computers have benefited and entertained all of us. However, AI is nowhere near ready to rule the world because computer algorithms do not have the intelligence, wisdom, or commonsense required to make rational decisions.

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Jul 17, 2022

Perceptron: AI that can solve math problems and translate over 200 different languages

Posted by in categories: mathematics, robotics/AI

Research in the field of machine learning and AI, now a key technology in practically every industry and company, is far too voluminous for anyone to read it all. This column, Perceptron, aims to collect some of the most relevant recent discoveries and papers — particularly in, but not limited to, artificial intelligence — and explain why they matter.

In this batch of recent research, Meta open-sourced a language system that it claims is the first capable of translating 200 different languages with “state-of-the-art” results. Not to be outdone, Google detailed a machine learning model, Minerva, that can solve quantitative reasoning problems including mathematical and scientific questions. And Microsoft released a language model, Godel, for generating “realistic” conversations that’s along the lines of Google’s widely publicized Lamda. And then we have some new text-to-image generators with a twist.

Meta’s new model, NLLB-200, is a part of the company’s No Language Left Behind initiative to develop machine-powered translation capabilities for most of the world’s languages. Trained to understand languages such as Kamba (spoken by the Bantu ethnic group) and Lao (the official language of Laos), as well as over 540 African languages not supported well or at all by previous translation systems, NLLB-200 will be used to translate languages on the Facebook News Feed and Instagram in addition to the Wikimedia Foundation’s Content Translation Tool, Meta recently announced.

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Jul 16, 2022

Knots in the resonator: Elegant math in humble physics

Posted by in categories: mathematics, mobile phones, physics

At the heart of every resonator—be it a cello, a gravitational wave detector, or the antenna in your cell phone—there is a beautiful bit of mathematics that has been heretofore unacknowledged.

Yale physicists Jack Harris and Nicholas Read know this because they started finding knots in their data.

In a new study in the journal Nature, Harris, Read, and their co-authors describe a previously unknown characteristic of resonators. A is any object that vibrates only at a specific set of frequencies. They are ubiquitous in sensors, electronics, musical instruments, and other devices, where they are used to produce, amplify, or detect vibrations at specific frequencies.

Jul 13, 2022

Can cats do math?

Posted by in categories: food, mathematics

Yes, it is true, cats are known to possess certain math skills in their own feline manner. Although it is obvious, they don’t have the knowledge of trigonometry or geometry as we do, but they sure understand the concept of ‘more and less’.

Every cat owner knows they get notified by their cat if the food dish is getting empty or the water is relatively less in the bowl. Furthermore, as they grow, cats can adeptly tell the difference between heights.

Albeit, this is still an ongoing study and researchers have found similarities between the thinking process of fish and that of cats. Fish swim in schools, and that’s how they learn to count. Likewise, adult cats or rather mother cats can identify if one of the kittens is missing.

Jul 12, 2022

The next breakthrough tool in biology? It’s maths. Here are some ways mathematical biology is helping change the world

Posted by in categories: biotech/medical, health, mathematics

Our ability to use mathematical modelling is accelerating breakthrough discoveries in health care and biotechnology.

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