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The Rhind Mathematical Papyrus, [1] [2] an ancient Egyptian mathematical work, includes a mathematical table for converting rational numbers of the form 2/n into Egyptian fractions (sums of distinct unit fractions), the form the Egyptians used to write fractional numbers. The text describes the representation of 50 rational numbers.
The Rhind Mathematical Papyrus. An Egyptian fraction is a finite sum of distinct unit fractions, such as + +. That is, each fraction in the expression has a numerator equal to 1 and a denominator that is a positive integer, and all the denominators differ from each other.
The tirage or bottling of champagne at G. H. Mumm & Co. (1879) Messrs. G. H. Mumm & Co.'s vendangeoir at Verzenay (1879) Mumm cellars in Reims. It was founded by three brothers: Jacobus, Gottlieb and Phillip Mumm, German winemakers from the Rhine valley, along with G. Heuser and Friedrich Giesler on March 1, 1827, as P. A. Mumm Giesler et Co.
Moritz Karl Ferdinand Wilhelm Hermann Walther Mumm von Schwarzenstein (13 January 1887 – 10 August 1959) was a German businessman and bobsledder who competed in the early 1930s. He was the one-time " champagne king" of Rheims in France , as part of the Mumm champagne making family.
A unit fraction is a positive fraction with one as its numerator, 1/ n. It is the multiplicative inverse (reciprocal) of the denominator of the fraction, ...
Les Classiques des sciences sociales (Social sciences classics) is a French digital library based in Saguenay, Quebec offering HTML or pdf versions of works whose rights have either fallen into public domain or rightholders giving their consent. It is one of the most visited French library in the world, with about 28 million downloads since its ...
The continued fractions on the right hand side will converge uniformly on any closed and bounded set that contains no poles of this function. [ 7 ] In the case 2 F 1 {\displaystyle {}_{2}F_{1}} , the radius of convergence of the series is 1 and the fraction on the left hand side is a meromorphic function within this circle.
The field of fractions of an integral domain is sometimes denoted by or (), and the construction is sometimes also called the fraction field, field of quotients, or quotient field of . All four are in common usage, but are not to be confused with the quotient of a ring by an ideal , which is a quite different concept.