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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. Farey sequence - Wikipedia

    en.wikipedia.org/wiki/Farey_sequence

    In mathematics, the Farey sequence of order n is the sequence of completely reduced fractions, either between 0 and 1, or without this restriction, [a] which when in lowest terms have denominators less than or equal to n, arranged in order of increasing size.

  4. The Voyage of the Mimi - Wikipedia

    en.wikipedia.org/wiki/The_Voyage_of_the_Mimi

    The Mimi was a French-built sailboat that is 72 feet (22 meters) in length, [14] originally built in 1934 to function as a deep-hulled cargo barge. [3] She was built in northwest France in the region of Brittany , on the coast of the Mer d'Iroise (the Iroise Sea).

  5. YouTube in education - Wikipedia

    en.wikipedia.org/wiki/YouTube_in_education

    YouTube was founded as a video sharing platform in 2005 and is now the most visited website in the US as of 2019. [1] Almost immediately after the site's launch, educational institutions, such as MIT OpenCourseWare and TED , were using it for the distribution of their content.

  6. Periodic continued fraction - Wikipedia

    en.wikipedia.org/wiki/Periodic_continued_fraction

    Lagrange proved the converse of Euler's theorem: if x is a quadratic irrational, then the regular continued fraction expansion of x is periodic. [4] Given a quadratic irrational x one can construct m different quadratic equations, each with the same discriminant, that relate the successive complete quotients of the regular continued fraction ...

  7. Fractionation - Wikipedia

    en.wikipedia.org/wiki/Fractionation

    [1] [2] Fractions are collected based on differences in a specific property of the individual components. A common trait in fractionations is the need to find an optimum between the amount of fractions collected and the desired purity in each fraction. Fractionation makes it possible to isolate more than two components in a mixture in a single run.

  8. Partial fraction decomposition - Wikipedia

    en.wikipedia.org/wiki/Partial_fraction_decomposition

    In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator. [1]

  9. Addition - Wikipedia

    en.wikipedia.org/wiki/Addition

    A "jump" that has a distance of 2 followed by another that is long as 4, is the same as a translation by 6. A number-line visualization of the unary addition 2 + 4 = 6. A translation by 4 is equivalent to four translations by 1. A second interpretation of addition comes from extending an initial length by a given length:

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