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  2. Approximations of π - Wikipedia

    en.wikipedia.org/wiki/Approximations_of_π

    Starting at 0, add 1 for each cell whose distance to the origin (0,0) is less than or equal to r. When finished, divide the sum, representing the area of a circle of radius r, by r2 to find the approximation of π. For example, if r is 5, then the cells considered are: (−5,5) (−4,5)

  3. Biblical and Talmudic units of measurement - Wikipedia

    en.wikipedia.org/wiki/Biblical_and_Talmudic...

    Moses mandated that the standard coinage would be in single shekels of silver; thus each shekel coin would constitute about 15.86 grams (0.51 troy ounces) of pure silver. In Judea, the Biblical shekel was initially worth about 3⅓ denarii, but over time the measurement had enlarged so that it would be worth exactly four denarii. [1]

  4. Quintuple meter - Wikipedia

    en.wikipedia.org/wiki/Quintuple_meter

    Simple quintuple meter can be written in 5 4 or 5 8 time, but may also be notated by using regularly alternating bars of triple and duple meters, for example 2 4 + 3 4.Compound quintuple meter, with each of its five beats divided into three parts, can similarly be notated using a time signature of 15

  5. Binary number - Wikipedia

    en.wikipedia.org/wiki/Binary_number

    Horus-Eye fractions are a binary numbering system for fractional quantities of grain, liquids, or other measures, in which a fraction of a hekat is expressed as a sum of the binary fractions 1/2, 1/4, 1/8, 1/16, 1/32, and 1/64.

  6. Greedy algorithm for Egyptian fractions - Wikipedia

    en.wikipedia.org/wiki/Greedy_algorithm_for...

    The simplest fraction3 / y ⁠ with a three-term expansion is ⁠ 3 / 7 ⁠. A fraction4 / y ⁠ requires four terms in its greedy expansion if and only if y ≡ 1 or 17 (mod 24), for then the numerator −y mod x of the remaining fraction is 3 and the denominator is 1 (mod 6). The simplest fraction4 / y ⁠ with a four-term ...

  7. Julian day - Wikipedia

    en.wikipedia.org/wiki/Julian_day

    The Julian date (JD) of any instant is the Julian day number plus the fraction of a day since the preceding noon in Universal Time. Julian dates are expressed as a Julian day number with a decimal fraction added. [8] For example, the Julian Date for 00:30:00.0 UT January 1, 2013, is 2 456 293.520 833. [9]

  8. Ratio - Wikipedia

    en.wikipedia.org/wiki/Ratio

    If the ratio consists of only two values, it can be represented as a fraction, in particular as a decimal fraction. For example, older televisions have a 4:3 aspect ratio, which means that the width is 4/3 of the height (this can also be expressed as 1.33:1 or just 1.33 rounded to two decimal places). More recent widescreen TVs have a 16:9 ...

  9. Decimal time - Wikipedia

    en.wikipedia.org/wiki/Decimal_time

    3 different representations of 3 hours 86 minutes decimal time by Delambre (9:15:50 a.m.) The colon (:) was not yet in use as a unit separator for standard times, and is used for non-decimal bases. The French decimal separator is the comma (,), while the period (.), or "point", is used in English. Units were either written out in full, or ...