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Date: 21-12-2020
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Date: 13-12-2020
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Date: 16-1-2021
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An irrational number can be called GK-regular (defined here for the first time) if the distribution of its continued fraction coefficients is the Gauss-Kuzmin distribution. An irrational number that is not GK-regular is said to be GK-irregular. It has been shown that all real numbers except for a set of measure zero are GK-regular.
Classes of GK-irregular numbers include rational and real quadratic numbers and numbers of the form where is a nonzero integer. Most widely-studied real numbers not of one of these forms, such as and algebraic numbers of degree greater than 2, are strongly suspected to be GK-regular based on numerical evidence, although no proof is known. The situation is much the same for normal and absolutely normal numbers.
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علامات بسيطة في جسدك قد تنذر بمرض "قاتل"
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أول صور ثلاثية الأبعاد للغدة الزعترية البشرية
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مدرسة دار العلم.. صرح علميّ متميز في كربلاء لنشر علوم أهل البيت (عليهم السلام)
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