The faster-than-fast Fourier transform
The Fourier transform is one of the most fundamental concepts in the information sciences. It’s a method for representing an irregular signal — such as the voltage fluctuations in the wire that conne ...
The Fourier transform is one of the most fundamental concepts in the information sciences. It’s a method for representing an irregular signal — such as the voltage fluctuations in the wire that conne ...
The same rules of physics that govern molecules as they condense from gas to liquid, or freeze from liquid to solid, also apply to the activity patterns of neurons in the human brain. University of Chicago ...
(AP) -- He said nyet to $1 million. Grigory Perelman, a reclusive Russian mathematics genius who made headlines earlier this year for not immediately embracing a lucrative math prize, has decided to decline ...
Microbes and humans interact in myriad ways, sharing a long history. Many of the most successful microbes are those that inhabit but do not kill their host. Cheaters lose. Tuberculosis settles into the lungs. Helicobacter ...
How did we get here and where are we headed? These are some of life's biggest questions. To get the answers, one Kansas State University professor is doing the math.
Fermat's Last Theorem—the idea that a certain simple equation had no solutions— went unsolved for nearly 350 years until Oxford mathematician Andrew Wiles created a proof in 1995. Now, Case Western Reserve University's ...
(Phys.org) —A pair of researchers, a physicist and a mathematician, has used data from OpenStreetMap and mathematical analysis to come up with the idea that there are only four main types of city topologies. ...
For centuries, human beings have been entranced by the captivating glimmer of the diamond. What accounts for the stunning beauty of this most precious gem? As mathematician Toshikazu Sunada explains in an ...
(Phys.org)—We live in a world of extremes, where being fervently for or against an issue often becomes the dominant social ideology – until an opposing belief that is equally extreme emerges to challenge ...
(PhysOrg.com) -- Researchers from Australia have taken a step toward resolving a seemingly simple yet unsolved paradox known as the "two-envelope" problem. They’ve worked out a new strategy that can enable ...
Human diseases and social networks seem to have little in common. However, at the crux of these two lies a network, communities within the network, and farther even, substructures of the communities. In a ...
The way that a flock of birds flies or a school of fish swims may involve more than individuals simply judging the distance between themselves in the group. Recently, scientists from the University of Alberta ...
An institute that promotes the “beauty, power and universality” of mathematical thought has awarded the Clay Research Prize to Alex Eskin, Professor in Mathematics at the University of Chicago.
(PhysOrg.com) -- Finding the best way to pack the greatest quantity of a specifically shaped object into a confined space may sound simple, yet it consistently has led to deep mathematical concepts and practical ...
(Phys.org) —In a Perspective in Science magazine this week, a Stanford Professor of Statistics re-examines Bayes' Theorem, its varying fortunes over the two-and-a-half centuries since it was proposed, and ...