Archive for the ‘mathematics’ category: Page 21

Apr 30, 2020

Hidden symmetry found in chemical kinetic equations

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

Rice University researchers have discovered a hidden symmetry in the chemical kinetic equations scientists have long used to model and study many of the chemical processes essential for life.

The find has implications for drug design, genetics and biomedical research and is described in a study published this month in the Proceedings of the National Academy of Sciences. To illustrate the biological ramifications, study co-authors Oleg Igoshin, Anatoly Kolomeisky and Joel Mallory of Rice’s Center for Theoretical Biological Physics (CTBP) used three wide-ranging examples: protein folding, enzyme catalysis and motor protein efficiency.

In each case, the researchers demonstrated that a simple mathematical ratio shows that the likelihood of errors is controlled by kinetics rather than thermodynamics.

Apr 29, 2020

These Mathematicians Think the Universe May Be Conscious

Posted by in categories: mathematics, space

Needless to say, not everyone’s convinced.

Apr 27, 2020

Springer has released 65 Machine Learning and Data books for free

Posted by in categories: mathematics, robotics/AI

Hundreds of books are now free to download.

Springer has released hundreds of free books on a wide range of topics to the general public. The list, which includes 408 books in total, covers a wide range of scientific and technological topics. In order to save you some time, I have created one list of all the books (65 in number) that are relevant to the data and Machine Learning field.

Among the books, you will find those dealing with the mathematical side of the domain (Algebra, Statistics, and more), along with more advanced books on Deep Learning and other advanced topics. You also could find some good books in various programming languages such as Python, R, and MATLAB, etc.

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Apr 26, 2020

The Legacy of Math Luminary John Conway, Lost to Covid-19

Posted by in categories: biotech/medical, mathematics

Conway, who passed away on April 11, was known for his rapid computation, his playful approach, and solving problems with “his own bare hands.”

Apr 22, 2020

Quantum chemistry simulations offers beguiling possibility of ‘solving chemistry’

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

Using machine learning three groups, including researchers at IBM and DeepMind, have simulated atoms and small molecules more accurately than existing quantum chemistry methods. In separate papers on the arXiv preprint server the teams each use neural networks to represent wave functions of electrons that surround the molecules’ atoms. This wave function is the mathematical solution of the Schrödinger equation, which describes the probabilities of where electrons can be found around molecules. It offers the tantalising hope of ‘solving chemistry’ altogether, simulating reactions with complete accuracy. Normally that goal would require impractically large amounts of computing power. The new studies now offer a compromise of relatively high accuracy at a reasonable amount of processing power.

Each group only simulates simple systems, with ethene among the most complex, and they all emphasise that the approaches are at their very earliest stages. ‘If we’re able to understand how materials work at the most fundamental, atomic level, we could better design everything from photovoltaics to drug molecules,’ says James Spencer from DeepMind in London, UK. ‘While this work doesn’t achieve that quite yet, we think it’s a step in that direction.’

Two approaches appeared on arXiv just a few days apart in September 2019, both combining deep machine learning and Quantum Monte Carlo (QMC) methods. Researchers at DeepMind, part of the Alphabet group of companies that owns Google, and Imperial College London call theirs Fermi Net. They posted an updated preprint paper describing it in early March 2020.1 Frank Noé’s team at the Free University of Berlin, Germany, calls its approach, which directly incorporates physical knowledge about wave functions, PauliNet.2

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Apr 17, 2020

Landmark Computer Science Proof Cascades Through Physics and Math

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

Computer scientists established a new boundary on computationally verifiable knowledge. In doing so, they solved major open problems in quantum mechanics and pure mathematics.

Apr 16, 2020

Mathematician John Horton Conway, a ‘magical genius’ known for inventing the ‘Game of Life,’ dies at age 82

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

John Horton Conway, a legendary mathematician who stood out for his love of games and for bringing mathematics to the masses, died on Saturday, April 11, in New Brunswick, New Jersey, from complications related to COVID-19. He was 82.

Known for his unbounded curiosity and enthusiasm for subjects far beyond mathematics, Conway was a beloved figure in the hallways of Princeton’s mathematics building and at the Small World coffee shop on Nassau Street, where he engaged with students, faculty and mathematical hobbyists with equal interest.

Conway, who joined the faculty in 1987, was the John von Neumann Professor in Applied and Computational Mathematics and a professor of mathematics until 2013 when he transferred to emeritus status.

Continue reading “Mathematician John Horton Conway, a ‘magical genius’ known for inventing the ‘Game of Life,’ dies at age 82” »

Apr 15, 2020

Timing of Earth’s biggest earthquakes follows a ‘devil’s staircase’ pattern

Posted by in category: mathematics

The devil staircase findings.

April 14 (UPI) — The timing of large, shallow earthquakes across the globe follows a mathematical pattern known as the devil’s staircase, according to a new study of seismic sequences.

Previously, scientists and their models have theorized that earthquake sequences happen periodically or quasi-periodically, following cycles of growing tension and release. Researchers call it the elastic rebound model. In reality, periodic earthquake sequences are surprisingly rare.

Continue reading “Timing of Earth’s biggest earthquakes follows a ‘devil’s staircase’ pattern” »

Apr 14, 2020

Life 3 0 Audiobook Age of Artificial Intelligence

Posted by in categories: business, Elon Musk, mathematics, robotics/AI

If anyone wants to learn about the future of artificial intelligence and the rise of super-intelligent machines here is Billionaire rocket scientist businessman Elon Musk’s favorite book of the year written by MIT math Professor Max Tegmark at the Future of Life Institute. The book Life 3.0 is presented in this free audio-book format on YouTube and is a 7 hour video talking about how we will become a Libertarian Utopia soon thanks to advances in technology.

Apr 14, 2020

Timing of large earthquakes follows a ‘devil’s staircase’ pattern

Posted by in category: mathematics

At the regional level and worldwide, the occurrence of large shallow earthquakes appears to follow a mathematical pattern called the Devil’s Staircase, where clusters of earthquake events are separated by long but irregular intervals of seismic quiet.

The finding published in the Bulletin of the Seismological Society of America differs from the pattern predicted by classical modeling that suggests earthquakes would occur periodically or quasi-periodically based on cycles of build-up and release of tectonic stress. In fact, say Yuxuan Chen of the University of Missouri, Columbia, and colleagues, periodic large earthquake sequences are relatively rare.

The researchers note that their results could have implications for seismic hazard assessment. For instance, they found that these large earthquake sequences (those with events magnitude 6.0 or greater) are “burstier” than expected, meaning that the clustering of earthquakes in time results in a higher probability of repeating seismic events soon after a large earthquake. The irregular gap between event bursts also makes it more difficult to predict an average recurrence time between big earthquakes.

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