Science & Technology
As theories go, quantum mechanics has certainly been successful. Despite its many counterintuitive predictions, it has provided an accurate description of the atomic world for more than 80 years. It has also been an essential tool for designing today's computer chips and hard-disk drives, as well as the lasers used in the fibre-optic communications of the Internet. Now, however, the ability to manipulate the quantum states of individual subatomic particles is allowing us to exploit the strange properties of quantum theory much more directly in information technology.
When the 14-year-old Richard Feynman first encountered eiπ + 1 = 0, the future physics Nobel laureate wrote in big, bold letters in his diary that it was "the most remarkable formula in math". Stanford University mathematics professor Keith Devlin claims that "like a Shakespearean sonnet that captures the very essence of love, or a painting that brings out the beauty of the human form that is far more than just skin deep, Euler's equation reaches down into the very depths of existence". Meanwhile Paul Nahin - a retired US electrical engineer - says in his recent book, Dr Euler's Fabulous Formula, that the expression sets "the gold standard for mathematical beauty".
For some people this expression, named after the 18th-century Swiss mathematician Leonhard Euler, even seems to have become an icon, having special significance apart from its mathematical context. It once even served as a piece of evidence in a criminal trial. In August 2003 an eco-terrorist assault on several car dealerships in the Los Angeles area resulted in millions of dollars worth of damage when a building was set alight and over 100 vehicles were destroyed or defaced. The vandalism included graffiti on the cars that read "gas guzzler" and "killer" - and, on one Mitsubishi Montero, eiπ + 1 = 0. Using this as a clue and later as evidence, the FBI arrested William Cottrell, a graduate student in theoretical physics at the California Institute of Technology, who was later tried and convicted. Cottrell testified at his trial that "Everyone should know Euler's theorem".
The proposed impact may have created the giant 3.4-mile-wide (5.5-kilometer-wide) craterlike formation that the team found buried 4,900 to 5,250 feet (1,490 to 1,600 meters) below sea level west of Stockton, California
Rocks in the potential crater date to about 37 to 49 million years ago.
The formation resembles an impact crater, the researchers said, but they are continuing to analyze rocks from oil exploration wells dug in the region for telltale signs of a collision.
Jared Morrow, an assistant professor of geology at San Diego State University, presented preliminary details of the discovery earlier this month at the Lunar and Planetary Science Conference in Houston, Texas.
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NASA's Voyager 1 and 2 spacecraft imaged the feature over two decades ago. The fact that it has appeared in Cassini images indicates that it is a long-lived feature. A second hexagon, significantly darker than the brighter historical feature, is also visible in the Cassini pictures. The spacecraft's visual and infrared mapping spectrometer is the first instrument to capture the entire hexagon feature in one image.
A team from America, France and Britain have been studying mites from the soil in the Andes in Peru and say the tiny creatures can provide clues to changing patterns of trade and of disease epidemics through history.






