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The Rhind Mathematical Papyrus, [1][2] an ancient Egyptian mathematical work, includes a mathematical table for converting rational numbers of the form 2/ n into Egyptian fractions (sums of distinct unit fractions), the form the Egyptians used to write fractional numbers. The text describes the representation of 50 rational numbers.
A fixed-point representation of a fractional number is essentially an integer that is to be implicitly multiplied by a fixed scaling factor. For example, the value 1.23 can be stored in a variable as the integer value 1230 with implicit scaling factor of 1/1000 (meaning that the last 3 decimal digits are implicitly assumed to be a decimal fraction), and the value 1 230 000 can be represented ...
Unit fractions can also be expressed using negative exponents, as in 2 −1, which represents 1/2, and 2 −2, which represents 1/(2 2) or 1/4. A dyadic fraction is a common fraction in which the denominator is a power of two, e.g. 1 / 8 = 1 / 2 3 . In Unicode, precomposed fraction characters are in the Number Forms block.
The scale can be expressed in four ways: in words (a lexical scale), as a ratio, as a fraction and as a graphical (bar) scale. Thus on an architect's drawing one might read 'one centimeter to one meter', 1:100, 1/100, or 1 / 100 . A bar scale would also normally appear on the drawing.
Smaller scale instruments are also quite commonly used by fully-grown players in jazz, folk music and similar ensembles. The system of conventional fractions is taken to its logical conclusion with string bass sizes, in that a full-size (4/4) bass is uncommon. Most basses are 3/4 or 7/8, and younger players can use 1/2 or even 1/4 size instruments.
The dominant scale used in the United States for models of "standard gauge" trains running on 45 mm (1.772 in) track, even though 1:32 is more prototypically correct. 1:29 represents standard gauge using 2 in (50.8 mm) gauge track, the original gauge 2. This fell into disuse as gauge 1 at 1.75 inch was very close.
Many digital video cameras have the capability to record in 16:9 (= 4 2:3 2), and 16:9 is the only widescreen aspect ratio natively supported by the DVD standard. DVD producers can also choose to show even wider ratios such as 1.66:1, 1.75:1, 1.77:1 and 1.78:1 [ 1 ] within the 16:9 DVD frame by hard matting or adding black bars within the image ...
A binary number is a number expressed in the base -2 numeral system or binary numeral system, a method for representing numbers that uses only two symbols for the natural numbers: typically "0" (zero) and "1" (one). A binary number may also refer to a rational number that has a finite representation in the binary numeral system, that is, the ...