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  2. Simple continued fraction - Wikipedia

    en.wikipedia.org/wiki/Simple_continued_fraction

    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...

  3. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    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.

  4. Letter frequency - Wikipedia

    en.wikipedia.org/wiki/Letter_frequency

    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 ...

  5. Sexagesimal - Wikipedia

    en.wikipedia.org/wiki/Sexagesimal

    In some usage systems, each position past the sexagesimal point was numbered, using Latin or French roots: prime or primus, seconde or secundus, tierce, quatre, quinte, etc. To this day we call the second-order part of an hour or of a degree a "second". Until at least the 18th century, ⁠ 1 / 60 ⁠ of a second was called a "tierce" or "third".

  6. Binary number - Wikipedia

    en.wikipedia.org/wiki/Binary_number

    This is also a repeating binary fraction 0.0 0011... . It may come as a surprise that terminating decimal fractions can have repeating expansions in binary. It is for this reason that many are surprised to discover that 1/10 + ... + 1/10 (addition of 10 numbers) differs from 1 in binary floating point arithmetic. In fact, the only binary ...

  7. Moon - Wikipedia

    en.wikipedia.org/wiki/Moon

    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.

  8. List of countries by firearm-related homicide rates - Wikipedia

    en.wikipedia.org/wiki/List_of_countries_by...

    Homicide rates (from firearms) per 100,000 people by country. [1]This is a list of countries by firearm-related homicide rate per 100,000 population by year . Homicide figures may include justifiable homicides along with criminal homicides, depending upon jurisdiction and reporting standards.

  9. Nuclear power - Wikipedia

    en.wikipedia.org/wiki/Nuclear_power

    The first light bulbs ever lit by electricity generated by nuclear power at EBR-1 at Argonne National Laboratory-West, December 20, 1951. [7]The process of nuclear fission was discovered in 1938 after over four decades of work on the science of radioactivity and the elaboration of new nuclear physics that described the components of atoms.