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  2. Rhind Mathematical Papyrus 2/n table - Wikipedia

    en.wikipedia.org/wiki/Rhind_Mathematical_Papyrus...

    The table consisted of 26 unit fraction series of the form 1/n written as sums of other rational numbers. [9] The Akhmim wooden tablet wrote difficult fractions of the form 1/n (specifically, 1/3, 1/7, 1/10, 1/11 and 1/13) in terms of Eye of Horus fractions which were fractions of the form ⁠ 1 / 2 k ⁠ and remainders expressed in terms of a ...

  3. Farey sequence - Wikipedia

    en.wikipedia.org/wiki/Farey_sequence

    With the restricted definition, each Farey sequence starts with the value 0, denoted by the fraction ⁠ 0 / 1 ⁠, and ends with the value 1, denoted by the fraction ⁠ 1 / 1 ⁠ (although some authors omit these terms). A Farey sequence is sometimes called a Farey series, which is not strictly correct, because the terms are not summed. [2]

  4. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    The reciprocal of a proper fraction is improper, and the reciprocal of an improper fraction not equal to 1 (that is, numerator and denominator are not equal) is a proper fraction. When the numerator and denominator of a fraction are equal (for example, ⁠ 7 / 7 ⁠), its value is 1, and the fraction therefore is improper. Its reciprocal is ...

  5. List of integer sequences - Wikipedia

    en.wikipedia.org/wiki/List_of_integer_sequences

    Name First elements Short description OEIS Mersenne prime exponents : 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, ... Primes p such that 2 p − 1 is prime.: A000043 ...

  6. 1/2 + 1/4 + 1/8 + 1/16 + ⋯ - ⋯ - Wikipedia

    en.wikipedia.org/wiki/1/2_%2B_1/4_%2B_1/8_%2B_1/...

    In mathematics, the infinite series ⁠ 1 / 2 ⁠ + ⁠ 1 / 4 ⁠ + ⁠ 1 / 8 ⁠ + ⁠ 1 / 16 ⁠ + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1.

  7. Irregularity of distributions - Wikipedia

    en.wikipedia.org/wiki/Irregularity_of_distributions

    The problem is to find N numbers, , …,, all between 0 and 1, for which the following conditions hold: The first two numbers must be in different halves (one less than 1/2, one greater than 1/2). The first 3 numbers must be in different thirds (one less than 1/3, one between 1/3 and 2/3, one greater than 2/3).

  8. Akhmim wooden tablets - Wikipedia

    en.wikipedia.org/wiki/Akhmim_wooden_tablets

    The answers were written in binary Eye of Horus quotients and exact Egyptian fraction remainders, scaled to a 1/320 factor named ro. The second half of the document proved the correctness of the five division answers by multiplying the two-part quotient and remainder answer by its respective (3, 7, 10, 11 and 13) dividend that returned the ab ...

  9. 1/3 - Wikipedia

    en.wikipedia.org/wiki/1/3

    1 ⁄ 3, a fraction of one third, or 0. 3 in decimal. pre-decimal British sterling currency of 1 shilling and 3 pence; 1st Battalion, 3rd Marines, United States infantry battalion; One/Three, a 20; Loona 1/3, a Loona spin-off