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The continued fraction representation for a real number is finite if and only if it is a rational number. In contrast, the decimal representation of a rational number may be finite, for example 137 / 1600 = 0.085625, or infinite with a repeating cycle, for example 4 / 27 = 0.148148148148...
Reinhardt's conjecture: the smoothed octagon has the lowest maximum packing density of all centrally-symmetric convex plane sets [48] Sphere packing problems, including the density of the densest packing in dimensions other than 1, 2, 3, 8 and 24, and its asymptotic behavior for high dimensions.
The Moon is Earth's only natural satellite.It orbits at an average distance of 384,400 km (238,900 mi), about 30 times the diameter of Earth. Tidal forces between Earth and the Moon have synchronized the Moon's orbital period (lunar month) with its rotation period at 29.5 Earth days, causing the same side of the Moon to always face Earth.
A GPS receiver processes the GPS signals received on its antenna to determine position, velocity and/or timing. The signal at antenna is amplified, down converted to baseband or intermediate frequency, filtered (to remove frequencies outside the intended frequency range for the digital signal that would alias into it) and digitalized; these ...
The California Job Case was a compartmentalized box for printing in the 19th century, sizes corresponding to the commonality of letters. The frequency of letters in text has been studied for use in cryptanalysis, and frequency analysis in particular, dating back to the Arab mathematician al-Kindi (c. AD 801–873 ), who formally developed the method (the ciphers breakable by this technique go ...
The Moorgate tube crash occurred on 28 February 1975 at 8:46 am on the London Underground's Northern City Line; 43 people died and 74 were injured after a train failed to stop at the line's southern terminus, Moorgate station, and crashed into its end wall.
Rates of HIV are lowest in North Africa and the Middle East (0.1% or less), East Asia (0.1%), and Western and Central Europe (0.2%). [233] The worst-affected European countries, in 2009 and 2012 estimates, are Russia , Ukraine , Latvia , Moldova , Portugal and Belarus , in decreasing order of prevalence.
The Mexican general election of July 2, 2006, was the most hotly contested election in Mexican history and as such, the results were controversial.According to the Federal Electoral Institute (IFE), the initial "Quick Count" determined the race was too close to call, and when the "Official Count" was complete, Felipe Calderón of the right-of-center National Action Party (PAN) had won by a ...