БЛОГ

Archive for the ‘mathematics’ category

Jan 10, 2023

DeepMind AI invents faster algorithms to solve tough maths puzzles

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

Researchers at DeepMind in London have shown that artificial intelligence (AI) can find shortcuts in a fundamental type of mathematical calculation, by turning the problem into a game and then leveraging the machine-learning techniques that another of the company’s AIs used to beat human players in games such as Go and chess.

The AI discovered algorithms that break decades-old records for computational efficiency, and the team’s findings, published on 5 October in Nature1, could open up new paths to faster computing in some fields.

“It is very impressive,” says Martina Seidl, a computer scientist at Johannes Kepler University in Linz, Austria. “This work demonstrates the potential of using machine learning for solving hard mathematical problems.”

Jan 8, 2023

Quantum money that uses the mathematics of knots could be unforgeable

Posted by in categories: computing, economics, mathematics, quantum physics

Quantum money underpinned by the mathematics of knots could be impossible to forge.

Jan 8, 2023

Ep. 102: Genetic engineering and the biological basis of intelligence. | Steven Hsu

Posted by in categories: bioengineering, biotech/medical, computing, genetics, mathematics

Since the discovery of genetics, people have dreamed of being able to correct diseases, select traits in children before birth, and build better human beings. Naturally, many serious technical and ethical questions surround this endeavor. Luckily, tonights’ guest is as good a guide as we could hope to have.

Dr. Steve Hsu is Professor of Theoretical Physics and of Computational Mathematics, Science, and Engineering at Michigan State University. He has done extensive research in the field of computational genomics, and is the founder of several startups.

Continue reading “Ep. 102: Genetic engineering and the biological basis of intelligence. | Steven Hsu” »

Jan 7, 2023

The first alien probes to reach us may be way more advanced than we expect

Posted by in categories: mathematics, space

Back-of-the-envelope math suggests interstellar probes get faster every year.

Jan 6, 2023

Pyramid Mathematics

Posted by in category: mathematics

International research centre led by Jain 108 that offers a global curriculum of Sacred Geometry, Philosophical Geometry and Pyramid Mathematics. Online Courses presented by Jain 108 now available.

Jan 6, 2023

There’s no GPS on the moon. NASA and ESA have to fix that before humans return in 2 years

Posted by in categories: mathematics, satellites

Without satellite navigation, rockets can’t navigate to the moon without ground control, which is costly, cumbersome, and requires a lot of math.

Jan 6, 2023

Closed timelike curve

Posted by in categories: cosmology, information science, mathematics, particle physics

In mathematical physics, a closed timelike curve (CTC) is a world line in a Lorentzian manifold, of a material particle in spacetime, that is “closed”, returning to its starting point. This possibility was first discovered by Willem Jacob van Stockum in 1937[1] and later confirmed by Kurt Gödel in 1949,[2] who discovered a solution to the equations of general relativity (GR) allowing CTCs known as the Gödel metric; and since then other GR solutions containing CTCs have been found, such as the Tipler cylinder and traversable wormholes.

Jan 5, 2023

What Are The Odds Of Alien Life? The Drake Equation

Posted by in categories: alien life, chemistry, Elon Musk, information science, mathematics, physics

Commercial Purposes ► [email protected]

What is the Drake Equation? We are talking about The Odds of ALIEN LIFE.
Is there life out there in the Universe?
How are the chances to find Extraterrestrial life?

Continue reading “What Are The Odds Of Alien Life? The Drake Equation” »

Jan 4, 2023

Greg Yang | Large N Limits: Random Matrices & Neural Networks | The Cartesian Cafe w/ Timothy Nguyen

Posted by in categories: law, mathematics, robotics/AI

Greg Yang is a mathematician and AI researcher at Microsoft Research who for the past several years has done incredibly original theoretical work in the understanding of large artificial neural networks. Greg received his bachelors in mathematics from Harvard University in 2018 and while there won the Hoopes prize for best undergraduate thesis. He also received an Honorable Mention for the Morgan Prize for Outstanding Research in Mathematics by an Undergraduate Student in 2018 and was an invited speaker at the International Congress of Chinese Mathematicians in 2019.

In this episode, we get a sample of Greg’s work, which goes under the name “Tensor Programs” and currently spans five highly technical papers. The route chosen to compress Tensor Programs into the scope of a conversational video is to place its main concepts under the umbrella of one larger, central, and time-tested idea: that of taking a large N limit. This occurs most famously in the Law of Large Numbers and the Central Limit Theorem, which then play a fundamental role in the branch of mathematics known as Random Matrix Theory (RMT). We review this foundational material and then show how Tensor Programs (TP) generalizes this classical work, offering new proofs of RMT. We conclude with the applications of Tensor Programs to a (rare!) rigorous theory of neural networks.

Continue reading “Greg Yang | Large N Limits: Random Matrices & Neural Networks | The Cartesian Cafe w/ Timothy Nguyen” »

Jan 4, 2023

Theoretical physicists assert that there are two dimensions to time

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

As science fiction would have you believe, you can’t really go to “another dimension.” Dimensions are more about how we see the world. But some things point to not just one, but two dimensions of time, according to one expert. If it were true, the theory could fix the biggest problem in physics, which is that quantum mechanics and general relativity don’t agree with each other.

Itzhak Bars from the University of Southern California in Los Angeles says that’s the case. Up, down, left, right, forward, back, and space-time are the normal three dimensions. In Bars’s theory, time is not a straight line. Instead, it is a curved 2D plane that is woven into all of these dimensions and more.

Dr. Bars has been working on “two-time physics” for more than ten years. All of this started when he started to wonder what time has to do with gravity and other forces. Even though the idea of more dimensions sounds strange, more and more physicists are thinking about it because it could help create the “theory of everything” or “unified theory of physics” that everyone wants. This would put all of the basic forces of the universe into a single, simple math equation.

Continue reading “Theoretical physicists assert that there are two dimensions to time” »

Page 1 of 8912345678Last