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Mathematical Modeling

Revolutionary theory of dark matter

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Looking for dark matter. Professor Are Raklev has launched a mathematical model that explains what dark matter may consist of. (Credit: Yngve Vogt)

Jan. 24, 2013 — The universe abounds with dark matter. Nobody knows what it consists of. University of Oslo physicists have now come up with a mathematical explanation that could solve the mystery once and for all.

Astrophysicists have known for the last 80 years that most of the universe consists of an unknown, dark matter. The solution to the mystery may now be just around the corner.

"We are looking for a new member of our particle zoo in order to explain dark matter. We know that it is a very exotic beast. And we have found a plausible...

A mathematical study of the famous Dirac equation that describes particles

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Naiara Arrizabalaga, PhD holder in mathematics, UPV/EHU. (Credit: Image courtesy of Elhuyar Fundazioa)

Jan. 7, 2013 — In 1928 the British physicist Paul Dirac put forward one of the fundamental equations that we use today to mathematically describe a spin one-half particle from a relativistic point of view. The mathematical representation that Dirac came up with enables certain particles, including the electron, to be better understood. Nevertheless, much more...

Basic math skills linked to PSAT math success

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Jan. 4, 2013 — New research from Western University provides brain imaging evidence that students well-versed in very basic single digit arithmetic (5+2=7 or 7-3=4) are better equipped to score higher on the Preliminary Scholastic Aptitude Test (PSAT), an examination sat by millions of students in the United States each year in preparation for college admission tests.

In findings published January 4 in The Journal of Neuroscience research led by Daniel Ansari, Associate...

Preventing 'Cyber Pearl Harbor': Improving cyber attack detection through computer modeling

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TechAndComputer (Nov. 30, 2012) — Cyber attacks that have long caused major work disruption and theft of private information are becoming more sophisticated with prolonged attacks perpetrated by organized groups. In September 2012, Bank of America, Citibank, the New York Stock Exchange, and other financial institutions were targets of attacks for more than five weeks. Defense Secretary Leon E. Panetta warned that the United States was facing the possibility of a "cyber-Pearl...

Outside a vacuum: Model predicts movement of charged particles in complex media

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TechAndComputer (Nov. 28, 2012) — Picture two charged particles in a vacuum. Thanks to laws of elementary electrostatics, we can easily calculate the force these particles exert upon one another, and therefore predict their movements.

Submerge those particles in a simple medium -- say, water -- and the calculation grows more complex. The charged particles' movements influence the water, which in turn may slow, speed, or otherwise alter the particles' paths. In this environment a...