Category Archives: Mathematics

Mathematicians Tame Rogue Waves, Lighting Up Future of LEDs | Quanta Magazine

The mathematician Svitlana Mayboroda and collaborators have figured out how to predict the behavior of electrons — a mathematical discovery that could have immediate practical effects.
Source: Mathematicians Tame Rogue Waves, Lighting Up Future of LEDs | Quanta Magazine

Quantum Questions Inspire New Math

Quantum Questions Inspire New MathIn order to fully understand the quantum world, we may have to develop a new realm of mathematics.
Mathematics might be more of an environmental science than we realize. Even though it is a search for eternal truths, many mathematical concepts trace their origins to everyday experience. Astrology and architecture inspired Egyptians and Babylonians to develop geometry. The study of mechanics during the scientific revolution of the 17th century brought us calculus.

Remarkably, ideas from quantum theory turn out to carry tremendous mathematical power as well, even though we have little daily experience dealing with elementary particles. The bizarre world of quantum theory — where things can seem to be in two places at the same time and are subject to the laws of probability — not only represents a more fundamental description of nature than what preceded it, it also provides a rich context for modern mathematics. Could the logical structure of quantum theory, once fully understood and absorbed, inspire a new realm of mathematics that might be called “quantum mathematics”?

Click here for the full article: Quantum Questions Inspire New Math

A Long-Sought Proof, Found and Almost Lost

Thomas Royen who solved the Gaussian correlation inequality (CGI)

Thomas Royen at his home in Schwalbach am Taunus, Germany.

When a German retiree proved a famous long-standing mathematical conjecture, the response was underwhelming.

As he was brushing his teeth on the morning of July 17, 2014, Thomas Royen, a little-known retired German statistician, suddenly lit upon the proof of a famous conjecture at the intersection of geometry, probability theory and statistics that had eluded top experts for decades.

Known as the Gaussian correlation inequality (GCI), the conjecture originated in the 1950s, was posed in its most elegant form in 1972 and has held mathematicians in its thrall ever since.
Click here for the full article: A Long-Sought Proof, Found and Almost Lost

USA Science and Engineering Festival – Home

USA Science and Engineering FestivalUSA Science and Engineering FestivalCelebrate STEM at the largest science festival in the country! Join the 4th USA Science & Engineering Festival in Washington, D.C. April 16-17, 2016.
Source: USA Science and Engineering Festival – Home

New derivation of pi links quantum physics to pure math

DERIVATION OF PI

John Wallis derivation of PI- 1655

New derivation of pi links quantum physics and pure math

Fibonacci Blocks

I met this great young man at a startup event in Bali. He is a 16 year old high school student who came up with a something to make STEM education more hands on and interesting and is well on his way to producing and selling his product. Fibonacci Blocks: Fun with Phi & the Golden Ratio

Mathematicians formulate equations, bend light and figure out how to hide things…

Multifractals on the sun…