Archive for the ‘mathematics’ category: Page 7

Mar 8, 2021

New Algorithm Breaks Speed Limit for Solving Linear Equations

Posted by in categories: computing, information science, mathematics

By harnessing randomness, a new algorithm achieves a fundamentally novel — and faster — way of performing one of the most basic computations in math and computer science.

Mar 7, 2021

Isadore Singer Transcended Mathematical Boundaries

Posted by in categories: mathematics, physics

A former graduate student reflects on how Isadore Singer, who died on February 11, brought together mathematicians, physicists and anyone else interested in the deeper connections between diverse fields.

Mar 4, 2021

Insights into plant consciousness from neuroscience, physics and mathematics: A role for quasicrystals?

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

There is considerable debate over whether plants are conscious and this, indeed, is an important question. Here I look at developments in neuroscience, physics and mathematics that may impact on this question. Two major concomitants of consciousness in animals are microtubule function and electrical gamma wave synchrony. Both these factors may also play a role in plant consciousness. I show that plants possess aperiodic quasicrystal structures composed of ribosomes that may enable quantum computing, which has been suggested to lie at the core of animal consciousness. Finally I look at whether a microtubule fractal suggests that electric current plays a part in conventional neurocomputing processes in plants.

Feb 28, 2021

Early-Warning for Seizures Could Be a Game-Changer for Epilepsy Patients

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

A new mathematical algorithm examines data from EEG and brain implants to learn each epilepsy patient’s unique brain pattern signatures. The system can predict the onset of a seizure within an hour, allowing the patient to take necessary interventions.

Feb 23, 2021

Mathematicians Set Numbers in Motion to Unlock Their Secrets

Posted by in category: mathematics

A new proof demonstrates the power of arithmetic dynamics, an emerging discipline that combines insights from number theory and dynamical systems.

Feb 17, 2021

The Coach Who Led the U.S. Math Team Back to the Top

Posted by in category: mathematics

Po-Shen Loh has harnessed his competitive impulses and iconoclastic tendencies to reinvigorate the U.S. Math Olympiad program.

Feb 14, 2021

New AI ‘Ramanujan Machine’ uncovers hidden patterns in numbers

Posted by in categories: mathematics, robotics/AI

A new artificially intelligent ‘Ramanujan Machine’ can generate hundreds of new mathematical conjectures, which might lead to new math proofs and theorems.

Feb 8, 2021

DARPA Opens Door to Producing “Unimaginable” Designs for DoD

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

DARPA’s TRAnsformative DESign (TRADES) program, which began in 2017, set out to develop foundational design tools needed to explore the vast space opened by new materials and additive manufacturing processes commonly called 3D printing. The program recently concluded having successfully developed new mathematics and computational techniques, including artificial intelligence and machine learning, that will allow future designers to create previously unimaginable shapes and structures of interest to defense and commercial manufacturing.

Feb 5, 2021

The Ramanujan Machine: Researchers have developed a ‘conjecture generator’ that creates mathematical conjectures

Posted by in categories: mathematics, robotics/AI

Using AI and computer automation, Technion researchers have developed a ‘conjecture generator’ that creates mathematical conjectures, which are considered to be the starting point for developing mathematical theorems. They have already used it to generate a number of previously unknown formulas. The study, which was published in the journal Nature, was carried out by undergraduates from different faculties under the tutelage of Assistant Professor Ido Kaminer of the Andrew and Erna Viterbi Faculty of Electrical Engineering at the Technion.

Feb 4, 2021

AI maths whiz creates tough new problems for humans to solve

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

Computer-aided calculations have played a crucial part in producing the proofs of several high-profile results. And more recently, some mathematicians have made progress towards AI that doesn’t just perform repetitive calculations, but develops its own proofs. Another growing area has been software that can go over a mathematical proof written by humans and check that it is correct.

Algorithm named after mathematician Srinivasa Ramanujan suggests interesting formulae, some of which are difficult to prove true.

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