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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 ...
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.
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 ...
In case 2, the rate of convergence depends on the absolute value of the ratio between the two roots: the farther that ratio is from unity, the more quickly the continued fraction converges. This general solution of monic quadratic equations with complex coefficients is usually not very useful for obtaining rational approximations to the roots ...
Awwww! It sounds like Harry has a girlfriend named Stella! Now we need the deets about the two of them! Commenters loved Harry's reaction to hearing Stella's name. @ReVel Fleur pointed out, "He ...
If (X) < 0, then X is negative.. WARNING: in the following line, 1 is first set to {{large|X}} and then because "210" is the first unlabelled positional argument, the value of 1 is overwritten and replaced by "210" (which is why 210 appears inside the parentheses) while the positional argument 2 is never assigned a value (which is why the parentheses have their usual size).
The opening weeks of the NBA season have been besieged by absent stars. This past week’s games turned out to be particularly destructive. First, on Thursday, news broke that Philadelphia 76ers ...
The November jobs report out Friday showed construction companies remain measured in their staffing decisions as economic uncertainty weighs on the sector amid high interest rates and immigration ...
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