Egyptian fraction

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English[edit]

Noun[edit]

Egyptian fraction (plural Egyptian fractions)

  1. (number theory) A representation of a rational number as a sum of distinct unit fractions.
    The fraction \frac{7}{10} can be written as the Egyptian fraction \frac{1}{2}+\frac{1}{5}
    The calculation of M^N where both M and N are real numbers can be done by expressing N as the sum of an integer h and an Egyptian fraction 1/g_1 + 1/g_2 + 1/g_3 + ... . Then M^N = M^h \sqrt[g_1]{M} \sqrt[g_2]{M} \sqrt[g_3]{M} ... where each of the roots can be calculated by means of the Newton–Raphson method.
  2. (number theory, rare) A unit fraction.

Usage notes[edit]

  • The term unit fraction is more commonly used than Egyptian fraction in the sense with that meaning.

Translations[edit]