Archive for the ‘mathematics’ category: Page 132
Aug 25, 2018
How 1 man’s brain injury turned him into a math savant
Posted by Genevieve Klien in categories: mathematics, neuroscience
Jason Padgett grew up struggling in school — until one night in 2002 when he was attacked in a bar and everything changed. Padgett said after the incident, he was using areas of the brain he didn’t previously have access to; he experienced choppy vision, was drawing intricate shapes and was seeing complex mathematical objects everywhere. Dr. Darold Treffert, a world renowned expert on savants, later diagnosed Padgett with acquired savant syndrome, which explained Padgett’s new skills. Padgett joins Megyn Kelly TODAY to share his story.
Aug 15, 2018
Researchers suggest phonons may have mass and perhaps negative gravity
Posted by Genevieve Klien in categories: mathematics, particle physics
A trio of physicists with Columbia University is making waves with a new theory about phonons—they suggest they might have negative mass, and because of that, have negative gravity. Angelo Esposito, Rafael Krichevsky and Alberto Nicolis have written a paper to support their theory, including the math, and have uploaded it to the xrXiv preprint server.
Most theories depict sound waves as more of a collective event than as physical things. They are seen as the movement of molecules bumping against each other like balls on a pool table—the energy of one ball knocking the next, and so on—any motion in one direction is offset by motion in the opposite direction. In such a model, sound has no mass, and thus cannot be impacted by gravity. But there may be more to the story. In their paper, the researchers suggest that the current theory does not fully explain everything that has been observed.
In recent years, physicists have come up with a word to describe the behavior of sound waves at a very small scale—the phonon. It describes the way sound vibrations cause complicated interactions with molecules, which allows the sound to propagate. The term has been useful because it allows for applying principles to sound that have previously been applied to actual particles. But no one has suggested that they actually are particles, which means they should not have mass. In this new effort, the researchers suggest the phonon could have negative mass, and because of that, could also have negative gravity.
Aug 15, 2018
Weird circles in the sky may be signs of a universe before ours
Posted by Genevieve Klien in categories: cosmology, existential risks, mathematics
By Chelsea Whyte
Swirling patterns in the sky may be signs of black holes that survived the destruction of a universe before the big bang.
“What we claim we’re seeing is the final remnant after a black hole has evaporated away in the previous aeon,” says Roger Penrose, a mathematical physicist at the University of Oxford.
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Jul 30, 2018
The Peculiar Math That Could Underlie the Laws of Nature
Posted by Shailesh Prasad in categories: mathematics, particle physics
New findings are fueling an old suspicion that fundamental particles and forces spring from strange eight-part numbers called “octonions.”
Jul 29, 2018
This 3D-printed AI construct analyzes
Posted by Genevieve Klien in categories: 3D printing, mathematics, robotics/AI
Machine learning is everywhere these days, but it’s usually more or less invisible: it sits in the background, optimizing audio or picking out faces in images. But this new system is not only visible, but physical: it performs AI-type analysis not by crunching numbers, but by bending light. It’s weird and unique, but counter-intuitively, it’s an excellent demonstration of how deceptively simple these “artificial intelligence” systems are.
Machine learning systems, which we frequently refer to as a form of artificial intelligence, at their heart are just a series of calculations made on a set of data, each building on the last or feeding back into a loop. The calculations themselves aren’t particularly complex — though they aren’t the kind of math you’d want to do with a pen and paper. Ultimately all that simple math produces a probability that the data going in is a match for various patterns it has “learned” to recognize.
The thing is, though, that once these “layers” have been “trained” and the math finalized, in many ways it’s performing the same calculations over and over again. Usually that just means it can be optimized and won’t take up that much space or CPU power. But researchers from UCLA show that it can literally be solidified, the layers themselves actual 3D-printed layers of transparent material, imprinted with complex diffraction patterns that do to light going through them what the math would have done to numbers.
Jul 16, 2018
Heat Making You Lethargic? Research Shows It Can Slow Your Brain, Too
Posted by Genevieve Klien in categories: health, mathematics, neuroscience
Summer Heat Waves Can Slow Our Thinking : Shots — Health News Hot weather can influence cognitive performance, according to new research. Young adults living in non-air-conditioned dorms during a heat wave performed worse on math and attention tests.
Jul 3, 2018
Why Particle Physicists Are Excited About This Mysterious Inconsistency
Posted by Genevieve Klien in categories: mathematics, particle physics
Scientists haven’t conclusively spotted any new particles since the Higgs boson, and that’s got some people worried—there are a ton of other physics puzzles remaining, many of which would require the presence of a new particle to resolve. But recently, there have been some tantalizing clues of new physics, perhaps a new particle, that many scientists are excited about.
There’s a discrepancy between theoretical and experimental calculations of the “muon magnetic moment,” or how strongly the electron’s heavier cousin behaves in a magnetic field. A newer mathematical calculation has made things even more interesting, and some particle physicists are eagerly awaiting the new results from an experiment here in the United States.
Jun 30, 2018
Human Civilization is our Second Womb for Birthing Transhumans
Posted by Odd Edges in categories: biotech/medical, cyborgs, food, genetics, mathematics, sustainability, transhumanism
A being that can consciously alter its own DNA via technological intervention (i.e. cybernetic means) is what our Second Womb has been nurturing. We have used civilization to protect ourselves while we crack the code of our biological being. We started in the womb of the cave. Then moved on to the womb of the hut. Then the village, the city, and the state. All thew hile, we have been tinkering with our own DNA and the DNA of other species. To me, this is the real posthuman or transhuman — it is the creature that is actively editing its own biological blueprint through tech. This is what we’ve been doing since we started augmenting our bodies with clothing and animal skins. We’ve been modifying our ability to endure the slings and arrows of the cosmos.
What is human civilization? It is difficult to assert that other animals do not create their own civilizations — termites for instance meet some criteria for being categorized as cyborgs (building temperature-controlled mega structures). Animals communicate, express feelings, and have personalities. Octopi arrange furniture for would-be mates. Others engage in mating rituals. Some mourn the dead. Birds can solve simple math. Critters scheme, enterprise, forge bonds, and even produce art. What do we do that animals do not?
To our credit, we are the only animals that record, share, and develop history upon structures and materials outside of our bodies. We harness energy for massive projects. We farm, but again, so do leaf-cutter ants. But we create genetically novel vegetables and animals. We alter the global climate. Our enterprises are global, and given time and opportunity, our projects will eventually become exostellar. We do all this rather ferociously. Human history is a rather short explosion of civilization-building activities, and yet it might already have irrevocably altered the future of all life on this planet. No other creature has created a circumstance quite like that of human beings and our anthropocene project. For instance, unless we clean up the environment, the next few generations of plant and animal life are going to have be extremely resilient to radiation, Styrofoam, plastics, and other run-offs squeezed out from the human project. That is just a fact of life now on earth.
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