Unit Fraction
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High Quality Content by WIKIPEDIA articles! A unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer. A unit fraction is therefore the reciprocal of a positive integer, 1/n. Examples are 1/1, 1/2, 1/3, 1/4 etc. The ancient Egyptians used sums of distinct unit fractions in their notation for more general rational numbers, and so such sums are often called Egyptian fractions. There is still interest today in analyzing the methods used by the ancients to choose among the possible representations for a fractional number, and to calculate with such representations. The topic of Egyptian fractions has also seen interest in modern number theory; for instance, the Erd s Graham conjecture and the Erd s Straus conjecture concern sums of unit fractions, as does the definition of Ore's harmonic numbers. In geometric group theory, triangle groups are classified into Euclidean, spherical, and hyperbolic cases according to whether an associated sum of unit fractions is equal to one, greater than one, or less than one respectively.
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GarantieWeitere Informationen
- Allgemeine Informationen
- GTIN 09786131119644
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- EAN 9786131119644
- Format Fachbuch
- Titel Unit Fraction
- Herausgeber Betascript Publishing
- Anzahl Seiten 92
- Genre Mathematik
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