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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a / b or , where a and b are both integers. [9] As with other fractions, the denominator ( b) cannot be zero. Examples include 1 2, − 8 5, −8 5, and 8 −5.

  3. One half - Wikipedia

    en.wikipedia.org/wiki/One_half

    One half is a rational number that lies midway between nil and unity (which are the elementary additive and multiplicative identities) as the quotient of the first two non-zero integers, . It has two different decimal representations in base ten, the familiar and the recurring , with a similar pair of expansions in any even base; while in odd ...

  4. Three-fifths Compromise - Wikipedia

    en.wikipedia.org/wiki/Three-Fifths_Compromise

    Text. In the U.S. Constitution, the Three-fifths Compromise is part of Article 1, Section 2, Clause 3: . Representatives and direct Taxes shall be apportioned among the several States which may be included within this Union, according to their respective Numbers, which shall be determined by adding to the whole Number of free Persons, including those bound to Service for a Term of Years, and ...

  5. Number Forms - Wikipedia

    en.wikipedia.org/wiki/Number_Forms

    Number Forms is a Unicode block containing Unicode compatibility characters that have specific meaning as numbers, but are constructed from other characters. They consist primarily of vulgar fractions and Roman numerals. In addition to the characters in the Number Forms block, three fractions (¼, ½, and ¾) were inherited from ISO-8859-1 ...

  6. Farey sequence - Wikipedia

    en.wikipedia.org/wiki/Farey_sequence

    Thus the first term to appear between 1 / 3 and 2 / 5 is 3 / 8, which appears in F 8. The total number of Farey neighbour pairs in F n is 2|F n | − 3. The Stern–Brocot tree is a data structure showing how the sequence is built up from 0 (= 0 / 1) and 1 (= 1 / 1), by taking successive mediants. Equivalent-area interpretation

  7. Time signature - Wikipedia

    en.wikipedia.org/wiki/Time_signature

    A time signature (also known as meter signature, [1] metre signature, [2] and measure signature) [3] is a convention in Western music notation that specifies how many note values of a particular type are contained in each measure ( bar ). The time signature indicates the meter of a musical movement at the bar level.

  8. Quantile - Wikipedia

    en.wikipedia.org/wiki/Quantile

    The rank of the first quartile is 10×(1/4) = 2.5, which rounds up to 3, meaning that 3 is the rank in the population (from least to greatest values) at which approximately 1/4 of the values are less than the value of the first quartile. The third value in the population is 7. 7 Second quartile

  9. Continued fraction - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction

    x 2 = 1 / 2 (2 + 3 / 2) = 7 / 4 x 3 = 1 / 2 (7 / 4 + 3 / 7 / 4) = 97 / 56 Properties. A Baire space is a topological space on infinite sequences of natural numbers. The infinite continued fraction provides a homeomorphism from the Baire space to the space of irrational real numbers (with the subspace topology inherited from the usual topology ...