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Archive for the ‘mathematics’ category: Page 11

May 11, 2024

Interview with Gabriele Scheler: Neuro AI. Will it be the future?

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

Here is an interview concerning the current AI and generative AI waves, and their relation to neuroscience. We propose solutions based on new technology from neuroAI – which includes humans ability for reasoning, thought, logic, mathematics, proof etc. – and are therefore poorly modeled by data analysis on its own. Some of our work – also with scholars – has been published, while more is to come in a spin-off setting.

May 9, 2024

Josh Mitteldorf on programmed aging

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

Irina Conboy, Michael Conboy and Josh Mitteldorf discuss one of the central questions in aging research: is aging an active process of the body or is aging a passive process of damage accumulation? See the whole debate on our YouTube Channel: @HealesMovies Josh Mitteldorf, PhD, runs the blog “Aging Matters” (https://joshmitteldorf.scienceblog.com/) and is a consultant in mathematical modeling and creative data analysis. His research areas include evolutionary ecology, biology of aging, and the epidemiology of COVID-19. On the field of aging research, he has published two books,” Cracking The Aging Code”, co-written with Dorion Sagan (https://www.amazon.com/Cracking-Aging-Code-Science-Growing/d…atfound-20 and “Aging is a Group-Selected Adaptation” (https://drive.google.com/file/d/1bs0faQEV3T9cu-Eq079-e5bIGgMwNH08/view). Heales website (Healthy Life Extension Society): https://heales.org/ Subscribe to our newsletter: https://heales.org/newsletter/ Contact e-mail: [email protected] #science #aging #rejuvenation #biology #health #longevity #antiaging #debate #stemcells #programmedaging #entropy #cancer #conboy #conboys #mitteldorf Music: Closer To Your Dream by Keys of Moon | https://soundcloud.com/keysofmoon (CC BY 4.0)

May 9, 2024

Plunge into a Black Hole with NASA’s new immersive visualization (w/video)

Posted by in categories: cosmology, mathematics, supercomputing

Ever wonder what happens when you fall into a black hole? Now, thanks to a new, immersive visualization produced on a NASA supercomputer, viewers can plunge into the event horizon, a black hole’s point of no return.

In this visualization of a flight toward a supermassive black hole, labels highlight many of the fascinating features produced by the effects of general relativity along the way. Produced on a NASA supercomputer, the simulation tracks a camera as it approaches, briefly orbits, and then crosses the event horizon — the point of no return — of a monster black hole much like the one at the center of our galaxy. (Video: NASA’s Goddard Space Flight Center/J. Schnittman and B. Powell)

“People often ask about this, and simulating these difficult-to-imagine processes helps me connect the mathematics of relativity to actual consequences in the real universe,” said Jeremy Schnittman, an astrophysicist at NASA’s Goddard Space Flight Center in Greenbelt, Maryland, who created the visualizations. “So I simulated two different scenarios, one where a camera — a stand-in for a daring astronaut — just misses the event horizon and slingshots back out, and one where it crosses the boundary, sealing its fate.”

May 8, 2024

Visual Intuitive Physics: Enhancing Understanding Through Visualization

Posted by in categories: mathematics, neuroscience, quantum physics

Often perceived as abstract and challenging, physics covers fundamental aspects of the universe, from the tiny world of quantum mechanics to the vast cosmos of general relativity. However, it often comes with intricate mathematical formulations that intimidate many learners. Visual Intuitive Physics is an emerging field that seeks to transform this complexity into accessible visual experiences, making physics more tangible and relatable. By employing visual aids and intuitive methodologies, this approach enhances the understanding of physical principles for students, researchers, and enthusiasts.

Understanding complex physics concepts often requires intuitive visualization that transcends verbal and mathematical explanations. Visualization in physics involves using graphs, diagrams, simulations, and other visual tools to provide a tangible understanding of abstract concepts. For instance, Marr and Bruce emphasized that visual tools significantly enhance conceptual understanding in students by providing concrete ways to comprehend physical laws.

Visualization helps bridge the gap between theoretical concepts and practical understanding. Per Kozma and Russell, visualization is pivotal in building cognitive structures that make understanding and remembering scientific principles easier. This is particularly significant for concepts that lack direct physical analogs, such as quantum mechanics and relativity.

May 8, 2024

New NASA Black Hole Visualization Takes Viewers Beyond the Brink

Posted by in categories: cosmology, mathematics

“People often ask about this, and simulating these difficult-to-imagine processes helps me connect the mathematics of relativity to actual consequences in the real universe,” said Jeremy Schnittman, an astrophysicist at NASA’s Goddard Space Flight Center in Greenbelt, Maryland, who created the visualizations. “So I simulated two different scenarios, one where a camera — a stand-in for a daring astronaut — just misses the event horizon and slingshots back out, and one where it crosses the boundary, sealing its fate.”

May 6, 2024

In the brain, bursts of beta rhythms implement cognitive control

Posted by in categories: biotech/medical, chemistry, mathematics, neuroscience

Bursts of brain rhythms with “beta” frequencies control where and when neurons in the cortex process sensory information and plan responses. Studying these bursts would improve understanding of cognition and clinical disorders, researchers argue in a new review.

The brain processes information on many scales. Individual cells electrochemically transmit signals in circuits but at the large scale required to produce cognition, millions of cells act in concert, driven by rhythmic signals at varying frequencies. Studying one frequency range in particular, beta rhythms between about 14–30 Hz, holds the key to understanding how the brain controls cognitive processes — or loses control in some disorders — a team of neuroscientists argues in a new review article.

Drawing on experimental data, mathematical modeling and theory, the scientists make the case that bursts of beta rhythms control cognition in the brain by regulating where and when higher gamma frequency waves can coordinate neurons to incorporate new information from the senses or formulate plans of action. Beta bursts, they argue, quickly establish flexible but controlled patterns of neural activity for implementing intentional thought.

May 6, 2024

An Old Abstract Field of Math Is Unlocking the Deep Complexity of Spacecraft Orbits

Posted by in categories: computing, mathematics, space

The original version of this story appeared in Quanta Magazine.

In October, a Falcon Heavy rocket is scheduled to launch from Cape Canaveral in Florida, carrying NASA’s Europa Clipper mission. The $5 billion mission is designed to find out if Europa, Jupiter’s fourth-largest moon, can support life. But because Europa is constantly bombarded by intense radiation created by Jupiter’s magnetic field, the Clipper spacecraft can’t orbit the moon itself. Instead, it will slide into an eccentric orbit around Jupiter and gather data by repeatedly swinging by Europa—53 times in total—before retreating from the worst of the radiation. Every time the spacecraft rounds Jupiter, its path will be slightly different, ensuring that it can take pictures and gather data from Europa’s poles to its equator.

To plan convoluted tours like this one, trajectory planners use computer models that meticulously calculate the trajectory one step at a time. The planning takes hundreds of mission requirements into account, and it’s bolstered by decades of mathematical research into orbits and how to join them into complicated tours. Mathematicians are now developing tools which they hope can be used to create a more systematic understanding of how orbits relate to one another.

May 5, 2024

Physicists Say They May Have Found a Powerful Glitch in the Universe

Posted by in categories: cosmology, mathematics, physics

Researchers have discovered what they’re calling a “cosmic glitch” in gravity, which could potentially help explain the universe’s strange behavior on a cosmic scale.

As detailed in a new paper published in the Journal of Cosmology and Astroparticle Physics, the team from the University of Waterloo and the University of British Columbia in Canada posit that Albert Einstein’s theory of general relativity may not be sufficient to explain the accelerating expansion of the universe.

Einstein’s “model of gravity has been essential for everything from theorizing the Big Bang to photographing black holes,” said lead author and Waterloo mathematical physics graduate Robin Wen in a statement about the research. “But when we try to understand gravity on a cosmic scale, at the scale of galaxy clusters and beyond, we encounter apparent inconsistencies with the predictions of general relativity.”

May 4, 2024

“Tube Map” for Space: Unlocking Planetary Paths With Knot Theory

Posted by in categories: computing, mapping, mathematics, space

A novel mathematical technique from the University of Surrey now simplifies space mission planning by mapping efficient routes, akin to a subway map, potentially revolutionizing travel to the Moon and beyond.

Just as sat-nav did away with the need to argue over the best route home, scientists from the University of Surrey have developed a new method to find the optimal routes for future space missions without the need to waste fuel.

The new method uses mathematics to reveal all possible routes from one orbit to another without guesswork or using enormous computer power.

May 3, 2024

Quantum Tunneling Explained With 40-Year-Old Mathematical Discovery

Posted by in categories: mathematics, quantum physics

Researchers have successfully used 40-year-old mathematics to explain quantum tunneling, providing a unified approach to diverse quantum phenomena.

Quantum mechanical effects such as radioactive decay, or more generally: ‘tunneling’, display intriguing mathematical patterns. Two researchers at the University of Amsterdam now show that a 40-year-old mathematical discovery can be used to fully encode and understand this structure.

Quantum Physics – Easy and Hard.

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