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The simplest fraction 3 / y with a three-term expansion is 3 / 7 . A fraction 4 / y requires four terms in its greedy expansion if and only if y ≡ 1 or 17 (mod 24), for then the numerator −y mod x of the remaining fraction is 3 and the denominator is 1 (mod 6). The simplest fraction 4 / y with a four-term ...
In combinatorial number theory, the Erdős–Graham problem is the problem of proving that, if the set {,,, …} of integers greater than one is partitioned into finitely many subsets, then one of the subsets can be used to form an Egyptian fraction representation of unity.
These include problems of bounding the length or maximum denominator in Egyptian fraction representations, finding expansions of certain special forms or in which the denominators are all of some special type, the termination of various methods for Egyptian fraction expansion, and showing that expansions exist for any sufficiently dense set of ...
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.
As with fractions of the form , it has been conjectured that every fraction (for >) can be expressed as a sum of three positive unit fractions. A generalized version of the conjecture states that, for any positive k {\displaystyle k} , all but finitely many fractions k n {\displaystyle {\tfrac {k}{n}}} can be expressed as a sum of three ...
James Kennedy appears to no longer have plans to perform in Las Vegas in the new year.. The DJ, who had three shows slated in January at the famous LIV Nightclub in the Fontainebleau hotel ...
The Mississippi Department of Corrections has announced the capture of a convicted killer who escaped on Christmas Eve.
One touchdown turned into three before the end of the day as Richardson’s return to the starting lineup resulted in a 28-27 victory over the Jets and arguably his best game as a professional ...
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