Menu

Blog

Archive for the ‘mathematics’ category: Page 6

Dec 9, 2024

Soft e-skin utilizes magnetic fields to independently sense three-axis forces

Posted by in categories: biotech/medical, cyborgs, mathematics, quantum physics, robotics/AI, supercomputing

Science and Technology: Google said its quantum computer, based on a computer chip called Willow, needed less than five minutes to perform a mathematical calculation that one of the world’s most powerful supercomputers could not complete in 10 septillion years, a length of time that exceeds the age of the known universe.


Electronic skins (e-skins) are flexible sensing materials designed to mimic the human skin’s ability to pick up tactile information when touching objects and surfaces. Highly performing e-skins could be used to enhance the capabilities of robots, to create new haptic interfaces and to develop more advanced prosthetics.

In recent years, researchers and engineers have been trying to develop e-skins with individual tactile units (i.e., taxels) that can accurately sense both normal (i.e., perpendicular) and shear (i.e., lateral) forces. While some of these attempts were successful, most existing multi-axis sensors are based on intricate designs or require complex fabrication and calibration processes, which limits their widespread deployment.

Continue reading “Soft e-skin utilizes magnetic fields to independently sense three-axis forces” »

Dec 9, 2024

How Evolution Shaped the Brain’s Understanding of Numbers

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

Summary: Human number cognition may be rooted in the putamen, a deep brain structure traditionally associated with movement rather than abstract thought. Neurosurgery patients demonstrated activity in this area while processing numbers as symbols, words, and concepts, suggesting that numerical understanding emerged early in evolution.

Researchers also observed activity in expected areas like the parietal lobe, highlighting how different brain regions collaborate in number processing. These findings could improve surgical outcomes by protecting areas crucial for number cognition and open pathways to enhancing math learning through targeted interventions.

Dec 9, 2024

That Time A Particle Accelerator Helped Discover The Lost Works Of Archimedes

Posted by in categories: mathematics, particle physics, sustainability

It was 1,229 CE in the monastery of St Sabas, near Jerusalem, and a monk named Johannes Myronas was in need of some parchment. He had evidently been tasked with creating a copy of the Euchologion – an important book of prayer and worship directions for Eastern Orthodox and Byzantine Catholic churches.

The problem was, parchment was expensive and hard to come by. Recycling was the name of the game, and Johannes had just the thing: a 200-year-old manuscript filled with old math notes that nobody was all that interested in anymore. Compared with the Holy Word, there was no contest: he pulled it apart, scraped the old text off, and used the pages for the new book – a technique known as palimpsesting.

You probably know where this is going. In creating his Euchologion, Johannes had – presumably unwittingly – destroyed one of the most valuable relics of Archimedes’s work. Not just some notebook or single treatise, even: the manuscript now known as “Codex C” contained multiple works from the ancient polymath, some of which now exist nowhere else in the world.

Dec 7, 2024

This Theory of Everything Actually Makes a Prediction: New Physics in Black Holes

Posted by in categories: computing, cosmology, mathematics, open access, physics

Learn science, computer science, and mathematics in the easiest and most engaging way possible with Brilliant! First 30 days are free and 20% off the annual premium subscription when you use our link ➜ https://brilliant.org/sabine.

Mathematician Stephen Wolfram has attempted to develop a theory of everything using hypergraphs, which are essentially sets of graphs that can describe space-time. Recently, another mathematician named Jonathan Gorard has used hypergraphs to describe what happens if a black hole accretes matter. He claims that evidence for hypergraphs should be observable in the energy that is emitted during the accretion. Big if true, as they say. Let’s take a look.

Continue reading “This Theory of Everything Actually Makes a Prediction: New Physics in Black Holes” »

Dec 7, 2024

Teen Mathematicians Tie Knots Through a Mind-Blowing Fractal

Posted by in category: mathematics

Three high schoolers and their mentor revisited a century-old theorem to prove that all knots can be found in a fractal called the Menger sponge.

Dec 7, 2024

Danish student makes groundbreaking black hole discovery

Posted by in categories: cosmology, mathematics

Discover the groundbreaking insights into gravitational lensing and black holes, unraveling elegant mathematics and revealing cosmic mysteries.

Nov 30, 2024

Scientists uncover photon’s shape, could unlock light-matter secrets

Posted by in categories: mathematics, quantum physics

Scientists now use a new mathematical model to reveal the geometry of photons, previously elusive.


A groundbreaking study from the University of Birmingham has revealed the shape of a photon and its interaction with quantum emitters.

Nov 29, 2024

Tiny rotating particles create vorticity in viscous fluids, yielding fascinating new behaviors

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

Vorticity, a measure of the local rotation or swirling motion in a fluid, has long been studied by physicists and mathematicians. The dynamics of vorticity is governed by the famed Navier-Stokes equations, which tell us that vorticity is produced by the passage of fluid past walls. Moreover, due to their internal resistance to being sheared, viscous fluids will diffuse the vorticity within them and so any persistent swirling motions will require a constant resupply of vorticity.

Physicists at the University of Chicago and applied mathematicians at the Flatiron Institute recently carried out a study exploring the behavior of viscous fluids in which tiny rotating particles were suspended, acting as local, mobile sources of vorticity. Their paper, published in Nature Physics, outlines fluid behaviors that were never observed before, characterized by self-propulsion, flocking and the emergence of chiral active phases.

“This experiment was a confluence of three curiosities,” William T.M. Irvine, a corresponding author of the paper, told Phys.org. “We had been studying and engineering parity-breaking meta-fluids with fundamentally new properties in 2D and were interested to see how a three-dimensional analog would behave.

Nov 28, 2024

Huge Physics Anomaly Finally Put to Test, But That Just Makes it More Confusing

Posted by in categories: computing, mathematics, open access, particle physics

Check out courses in science, computer science, or mathematics on Brilliant! First 30 days are free and 20% off the annual premium subscription when you use our link ➜ https://brilliant.org/sabine.

Ten years ago, physicists discovered an anomaly that was dubbed the “ATOMKI anomaly”. The decays of certain atomic nuclei disagreed with our current understanding of physics. Particle physicists assigned the anomaly to a new particle, X17, often described as a fifth force. The anomaly was now tested by a follow-up experiment, but this is only the latest twist in a rather confusing story.

Continue reading “Huge Physics Anomaly Finally Put to Test, But That Just Makes it More Confusing” »

Nov 27, 2024

The Core Equation Of Neuroscience

Posted by in categories: computing, information science, mathematics, neuroscience, particle physics

To try everything Brilliant has to offer—free—for a full 30 days, visit https://brilliant.org/ArtemKirsanov. You’ll also get 20% off an annual premium subscription.

Socials:
X/Twitter: https://twitter.com/ArtemKRSV
Patreon: / artemkirsanov.

Continue reading “The Core Equation Of Neuroscience” »

Page 6 of 159First345678910Last