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Archive for the ‘mathematics’ category: Page 73

Nov 6, 2022

Black Holes in Quantum States Have Surprisingly Weird Masses

Posted by in categories: cosmology, mathematics, quantum physics

For the better part of a century, quantum physics and the general theory of relativity have been a marriage on the rocks. Each perfect in their own way, the two just can’t stand each other when in the same room.

Now a mathematical proof on the quantum nature of black holes just might show us how the two can reconcile, at least enough to produce a grand new theory on how the Universe works on cosmic and microcosmic scales.

A team of physicists has mathematically demonstrated a weird quirk concerning how these mind-bendingly dense objects might exist in a state of quantum superposition, simultaneously occupying a spectrum of possible characteristics.

Nov 2, 2022

The cosmologist who claims to have evidence for the multiverse

Posted by in categories: cosmology, mathematics, quantum physics

HOW did our universe begin? This is among the most profound questions of all, and you would be forgiven for thinking it is impossible to answer. But Laura Mersini-Houghton says she has cracked it. A cosmologist at the University of North Carolina at Chapel Hill, she was born and raised under communist dictatorship in Albania, where her father was considered ideologically opposed to the regime and exiled. She later won a Fulbright scholarship to study in the US, forging a career in cosmology in which she has tackled the origins of the universe – and made an extraordinary proposal.

Mersini-Houghton’s big idea is that the universe in its earliest moments can be understood as a quantum wave function – a mathematical description of a haze of possibilities – that gave rise to many diverse universes as well as our own. She has also made predictions about how other universes would leave an imprint upon our own. Those ideas have been controversial, with some physicists arguing that her predictions are invalid. But Mersini-Houghton argues that they have been confirmed by observations of the radiation left over from the big bang, known as the cosmic microwave background.

Nov 1, 2022

Caltech Mathematicians Solve 19th Century Number Riddle

Posted by in category: mathematics

Alex Dunn and Maksym Radziwill finally prove “Patterson’s conjecture”.

Oct 28, 2022

Scientist develops an open-source algorithm for selecting a dictionary of a neurointerface

Posted by in categories: biotech/medical, information science, mathematics, robotics/AI

Associate Professor of the Department of Information Technologies and Computer Sciences at MISIS University, Ph.D., mathematician and doctor Alexandra Bernadotte has developed algorithms that significantly increase the accuracy of recognition of mental commands by robotic devices. The result is achieved by optimizing the selection of a dictionary. Algorithms implemented in robotic devices can be used to transmit information through noisy communication channels. The results have been published in the peer-reviewed international scientific journal Mathematics.

The task of improving the object (audio, video or electromagnetic signals) classification accuracy, when compiling so-called “dictionaries” of devices is faced by developers of different systems aimed to improve the quality of human life.

The simplest example is a voice assistant. Audio or video transmission devices for remote control of an object in the line-of-sight zone use a limited set of commands. At the same time, it is important that the commands classifier based on the accurately understands and does not confuse the commands included in the device dictionary. It also means that the recognition accuracy should not fall below a certain value in the presence of extraneous noise.

Oct 28, 2022

When AI “Played” Math, It Cracked an Internet Chokepoint

Posted by in categories: information science, internet, mathematics, robotics/AI

An artificial intelligence system from Google’s sibling company DeepMind stumbled on a new way to solve a foundational math problem at the heart of modern computing, a new study finds. A modification of the company’s game engine AlphaZero (famously used to defeat chess grandmasters and legends in the game of Go) outperformed an algorithm that had not been improved on for more than 50 years, researchers say.

The new research focused on multiplying grids of numbers known as matrices. Matrix multiplication is an operation key to many computational tasks, such as processing images, recognizing speech commands, training neural networks, running simulations to predict the weather, and compressing data for sharing on the Internet.

Oct 26, 2022

Graphs may prove key in search for Holy Grail of quantum error correction

Posted by in categories: computing, mathematics, quantum physics

In February 2019, JQI Fellow Alicia Kollár, who is also an assistant professor of physics at UMD, bumped into Adrian Chapman, then a postdoctoral fellow at the University of Sydney, at a quantum information conference. Although the two came from very different scientific backgrounds, they quickly discovered that their research had a surprising commonality. They both shared an interest in graph theory, a field of math that deals with points and the connections between them.

Chapman found graphs through his work in —a field that deals with protecting fragile quantum information from errors in an effort to build ever-larger quantum computers. He was looking for new ways to approach a long-standing search for the Holy Grail of quantum error correction: a way of encoding quantum information that is resistant to errors by construction and doesn’t require active correction. Kollár had been pursuing new work in graph theory to describe her photon-on-a-chip experiments, but some of her results turned out to be the missing piece in Chapman’s puzzle.

Their ensuing collaboration resulted in a new tool that aids in the search for new quantum error correction schemes—including the Holy Grail of self-correcting quantum error correction. They published their findings recently in the journal Physical Review X Quantum.

Oct 23, 2022

Space Center Houston Reimagines Itself with a Bold New Vision, Turns 30 and Launches New Brand

Posted by in categories: education, mathematics, robotics/AI, space travel

HOUSTON, Oct. 18, 2022 – The nonprofit Space Center Houston is advancing a Facilities Master Plan to support the growing need for space exploration learning and training in two massive structures that will also give the public a front row seat into the development of robotics, rovers, lunar landers and reduced gravity systems. Today, the center offered a glimpse of the facility that will include two enclosed simulated cosmic terrains of the Moon and Mars, as well as modular surface labs and STEM learning centers. An elevated exhibit hall over the two surfaces will offer the public immersive experiences to observe astronaut training first-hand while experiencing the future of space exploration as humans return to the Moon and eventually on to Mars.

Space Center Houston is responding to the opportunities and challenges in a rapidly evolving space sector, including the need for facilities built for current and future missions, while sharing this excitement with the public and addressing critical gaps in the development of the STEM workforce through its education programs. The facility will bring together guests, NASA, commercial space partners, colleges, universities and global space agencies to collaborate on new technologies that are propelling present and future human spaceflight.

For 30 years, Space Center Houston has chronicled the journey of human spaceflight while empowering and inspiring people to pursue careers in science, technology, engineering and mathematics. “Space is expanding once again and a new space age is upon us,” said William T. Harris, President and CEO Space Center Houston. “With new ambitions, new players and new challenges, we will shift our focus from being a curator of past achievements to also facilitating new feats in space.”

Oct 22, 2022

Machine Learning’s New Math

Posted by in categories: mathematics, robotics/AI

“We got a thousand times improvement [in training performance per chip] over the last 10 years, and a lot of it has been due to number representation,” Bill Dally, chief scientist and senior vice president of research at Nvidia said at the recent IEEE Symposium on Computer Arithmetic.

Oct 21, 2022

Bill and Melinda Gates are chopping funding for reading, writing and the arts to plow $1 billion into math education instead

Posted by in categories: computing, education, mathematics

Gates will provide grants to prepare teachers better for teaching math and to curriculum companies and nonprofits to develop higher-quality teaching materials. The foundation will also support research into math education and make grants to help high-school math courses prepare students for college and the workplace.

A big problem with math as it is taught today is that students learn in isolation and can feel crushed when they get the wrong answer to a problem, says Shalinee Sharma, co-founder of Zearn, an educational nonprofit and Gates grantee who, with Hughes, spoke with reporters this week. Zearn uses computer-based lessons that incorporate a lot of visuals to keep students interested and provides feedback on progress to help teachers tailor lessons for individual students. A new approach in which students work in teams to solve problems, she said, can turn all students into “math kids.”

“When all kids are ‘math kids,’ making mistakes will be OK,” she said. “It won’t be embarrassing. In fact, making mistakes will be considered normal and an essential part of math learning.”

Oct 19, 2022

What’s next after NASA’s asteroid crash? A New Study on the Environmental Impact of Bitcoin & more

Posted by in categories: asteroid/comet impacts, bitcoin, existential risks, mathematics, quantum physics, sustainability

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Welcome everybody to our first episode of Science News without the gobbledygook. Today we’ll talk about this year’s Nobel Prize in Physics, trouble with the new data from the Webb telescope, what’s next after NASA’s collision with an asteroid, new studies about the environmental impact of Bitcoin and exposure to smoke from wildfires, a test run of a new electric airplane, and dogs that can smell mathematics.

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