Egyptian fraction

English Noun en number theory A representation of a rational number as a sum of distinct unit fractions. en The fraction can be written as the Egyptian fraction . en The calculation of 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 . Then where each of the roots can be calculated by means of the Newton's method Newton–Raphson method. 1995, C. Pomerance, A. Sárkőzy, Combinatorial number theory, Ronald Graham R. L. Graham, Martin Grötschel M. Grötschel, László Lovász L. Lovász (edtors), Handbook of Combinatorics, Elsevier (North-Holland), page 1014, However, a representation of r as a sum of distinct Egyptian fractions is certainly not unique and this fact leads to many questions. en 2013 Ronald Graham R. L. Graham Paul Erdős and Egyptian Fractions László Lovász; Imre Ruzsa; Vera T. Sós Erdős Centennial Springer, https://books.google.com.au/books?id=7_zFBAAAQBAJ&pg=PA293&dq=%22Egyptian+fraction%22%7C%22Egyptian+fractions%22&hl=en&sa=X&ved=0ahUKEwix7KW43dXbAhUyC6YKHao6DfQQ6AEIhwEwEg#v=onepage&q=%22Egyptian%20fraction%22%7C%22Egyptian%20fractions%22&f=false 293 In [27], Erdős also considers various questions relating to Egyptian fraction decompositions of . en 2016 Annette Imhausen Mathematics in Ancient Egypt: A Contextual History https://books.google.com.au/books?id=IXwkCQAAQBAJ&pg=PA5&dq=%22Egyptian+fraction%22%7C%22Egyptian+fractions%22&hl=en&sa=X&ved=0ahUKEwix7KW43dXbAhUyC6YKHao6DfQQ6AEIbTAO#v=onepage&q=%22Egyptian%20fraction%22%7C%22Egyptian%20fractions%22&f=false 5 w:Princeton University Press The modern description of Egyptian fraction reckoning being "restricted" to unit fractions is obviously anachronistic (indeed, the Egyptian concept of fractions did not include a numerator, but from a historian's point of view this cannot be criticized on the basis that our modern fractions consist of denominator and numerator). Furthermore, this criticism does not do justice to the development of Egyptian fractions. en number theory rare A unit fraction. Usage notes The term en unit fraction is more commonly used than Egyptian fraction in the sense with that meaning. Translations representation of a rational number as sum of distinct unit fractions Finnish: fi egyptiläinen murtoluku unit fraction Finnish: fi yksikkömurtoluku Māori: mi hautau waetahi