Examples of using Irrational numbers in English and their translations into Greek
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The structure of this graph encodes the overlap between the irrational numbers approximated by each denominator.
works only for irrational numbers; see Enderton pp. 117 for details.
Likewise, the irrational numbers that can be approximated by fractions with denominator 20 overlap with the ones that can be approximated by fractions with denominator 12.
But Dirichlet proved a straightforward relationship between fractions, irrational numbers and the errors separating the two.
certain other irrational numbers.
In 1837 the mathematician Gustav Lejeune Dirichlet found a rule for how well irrational numbers can be approximated by rational ones.
and the reciprocal of the Lagrange spectrum is the range of values it takes on irrational numbers.
you want to know: Can I find infinitely many fractions that approximate all irrational numbers?
there isn't much overlap in the irrational numbers that can be well approximated by fractions with 12 and 35 in the denominator.
positive numbers, and the irrational numbers.
belongs to the set of irrational numbers 3,1415926535… puzzle for print.
The first existence proofs of irrational numbers is usually attributed to Pythagoras,
The key to solving the conjecture has been to find a way to precisely quantify the overlap in the sets of irrational numbers approximated by denominators with many small prime factors in common.
not including fractions and irrational numbers, and decimals and all the rest,
Dedekind then constructed the real numbers by Dedekind cuts, in which irrational numbers are formally defined,numbers, thereby creating a complete set: the continuum of real numbers, which had already been developed by Simon Stevin in terms of decimal expansions.">
It's an irrational number Known as"phi.".
An irrational number has a representation of infinite length that never repeats itself.
The square root of 2 was the first irrational number to be discovered.
The golden ratio has the slowest convergence of any irrational number.
An irrational number of infinite length, usually rounded to three digits… as 3. 14.