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Archive for the ‘mathematics’ category

Nov 11, 2018

Sci-Fi Writer Greg Egan and Anonymous Math Whiz Advance Permutation Problem

Posted by in categories: innovation, mathematics

A debate over the most efficient way to watch a cult classic TV series’ episodes, in every possible order, lies at the heart of this mathematical breakthrough.

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Oct 31, 2018

Why the number 137 is one of the greatest mysteries in physics

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

The constant figures in other situations, making physicists wonder why. Why does nature insist on this number? It has appeared in various calculations in physics since the 1880s, spurring numerous attempts to come up with a Grand Unified Theory that would incorporate the constant since. So far no single explanation took hold. Recent research also introduced the possibility that the constant has actually increased over the last six billion years, even though slightly. If you’d like to know the math behind fine structure constant more specifically, the way you arrive at alpha is by putting the 3 constants h, c, and e together in the equation — As the units c, e, and h cancel each other out, the.

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Oct 30, 2018

This Bizarre Form of Ice Grows at Over 1,000 mph, And Now Physicists Know How

Posted by in categories: mathematics, physics

New research into a very weird type of ice known as Ice VII has revealed how it can form at speeds over 1,000 miles per hour (1,610 kilometres per hour), and how it might be able to spread across yet-to-be-explored alien worlds.

This ice type was only discovered occurring naturally in March, trapped inside diamonds deep underground, and this latest study looks in detail at how exactly it takes shape – apparently in a way that’s completely different to how water usually freezes into ice.

Based on a mathematical model devised by researchers from the Lawrence Livermore National Laboratory in California, there’s a certain pressure threshold across which Ice VII will spread with lightning speed. This process of near-instantaneous transformation is known as homogeneous nucleation.

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Oct 28, 2018

A Huge Achievement in Math Shows the Limits of Symmetries

Posted by in category: mathematics

In a major mathematical achievement, a small team of researchers has proven Zimmer’s conjecture.

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Oct 22, 2018

Dr. Sam Palmer – Thymic Involution and Cancer Risk

Posted by in categories: biotech/medical, genetics, life extension, mathematics

Cancer is the poster child of age-related diseases, and a recent study sheds light on why the risk of cancer rises dramatically as we age.

Abstract

For many cancer types, incidence rises rapidly with age as an apparent power law, supporting the idea that cancer is caused by a gradual accumulation of genetic mutations. Similarly, the incidence of many infectious diseases strongly increases with age. Here, combining data from immunology and epidemiology, we show that many of these dramatic age-related increases in incidence can be modeled based on immune system decline, rather than mutation accumulation. In humans, the thymus atrophies from infancy, resulting in an exponential decline in T cell production with a half-life of ∼16 years, which we use as the basis for a minimal mathematical model of disease incidence. Our model outperforms the power law model with the same number of fitting parameters in describing cancer incidence data across a wide spectrum of different cancers, and provides excellent fits to infectious disease data.

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Oct 18, 2018

IBM finally proves that quantum systems are faster than classicals

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

IBM researchers provide mathematical proof to Shor’s Algorithm.

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Oct 15, 2018

What Is A Quantum Computer? The 30,000 Foot Overview

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

If you replace classical bits with qubits, though, you go back to only needing one per spin in the system, because all the quantum stuff comes along for free. You don&s;t need extra bits to track the superposition, because the qubits themselves can be in superposition states. And you don&s;t need extra bits to track the entanglement, because the qubits themselves can be entangled with other qubits. A not-too-big quantum computer— again, 50–100 qubits— can efficiently solve problems that are simply impossible for a classical computer.

These sorts of problems pop up in useful contexts, such as the study of magnetic materials, whose magnetic nature comes from adding together the quantum spins of lots of particles, or some types of superconductors. As a general matter, any time you&s;re trying to find the state of a large quantum system, the computational overhead needed to do it will be much less if you can map it onto a system of qubits than if you&s;re stuck using a classical computer.

So, there&s;s your view-from-30,000-feet look at what quantum computing is, and what it&s;s good for. A quantum computer is a device that exploits wave nature, superposition, and entanglement to do calculations involving collective mathematical properties or the simulation of quantum systems more efficiently than you can do with any classical computer. That&s;s why these are interesting systems to study, and why heavy hitters like Google, Microsoft, and IBM are starting to invest heavily in the field.

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Oct 12, 2018

Invitation to Join Data Science Central

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

Join the largest community of machine learning (ML), deep learning, AI, data science, business analytics, BI, operations research, mathematical and statistical professionals: Sign up here. If instead, you are only interested in receiving our newsletter, you can subscribe here. There is no cost.

The full membership includes, in addition to the newsletter subscription:

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Oct 8, 2018

Brain Meets Machine: The Art and Science of Brain-Computer Interfaces

Posted by in categories: computing, mathematics, neuroscience, science

Current brain-computer interface (BCI) research helps people who have lost the ability to affect their environment in ways many of us take for granted. Future BCIs may go beyond motor function, perhaps aiding with memory recall, decision-making, and other cognitive functions.


Have you ever studied a foreign language and wished you could upload the vocabulary lists directly into your brain so that you could retain them? Would you like to do mental math with the speed and accuracy of a calculator? Do you want a literal photographic memory? Well, these dreams are still the stuff of science fiction, but the brave new world of brain-computer interfaces, or BCI, is well on its way to making technological miracles of this sort a reality.

The story of BCI begins with the discovery of electrical signals emitted by the brain. In 1924, German scientist Hans Berger recorded the first electroencephalogram, or EEG, by placing electrodes under a person’s scalp. Although his research was at first met with derision, a whole new way to study the brain was born from his work. It is now well accepted that the human brain emits electric signals at a variety of frequencies currently known as brainwaves.

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Oct 7, 2018

On the Nature of Causality in Complex Systems, George F.R. Ellis

Posted by in categories: biological, cosmology, mathematics

When listening to world science festival’s latest episode on youtube, Pondering the Imponderables: The Biggest Questions of Cosmology, I found myself to be most in line with George F.R. Ellis’ line of thinking overall.


Big Bang cosmology, chemical and biological evolutionary theory, and associated sciences have been extraordinarily successful in revealing and enabling us to understand the development of the.

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