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REVIEW OF IRRATIONAL NUMBERS
Published 2015-04-01“…This paper examines some set properties on the irrational numbers. The study is about the properties applying to the real numbers which are a complete ordered field. …”
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REVIEW OF IRRATIONAL NUMBERS
Published 2015-04-01“…This paper examines some set properties on the irrational numbers. The study is about the properties applying to the real numbers which are a complete ordered field. …”
Get full text
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Origin of Irrational Numbers and Their Approximations
Published 2021-03-01Subjects: “…irrational numbers…”
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Do We Have a Sense for Irrational Numbers?
Published 2017-02-01“…It is to date unclear whether educated adults without training are able to assess magnitudes of irrational numbers, such as the cube root of 41. In a computerized experiment, we asked mathematically skilled adults to repeatedly choose the larger of two irrational numbers as quickly as possible. …”
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The square root of 2 : a dialogue concerning a number and a sequence /
Published 2006Subjects: “…Irrational numbers…”
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The Golden Ratio in Nature: A Tour across Length Scales
Published 2022-10-01Subjects: Get full text
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Principal Solutions of Recurrence Relations and Irrationality Questions in Number Theory
Published 2023-01-01Subjects: “…irrational numbers…”
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Vanishing and blow-up solutions to a class of nonlinear complex differential equations near the singular point
Published 2024-02-01“…Considering σ\sigma to be an integer, a rational, or an irrational number, for each of the above-mentioned cases, the existence is proved of analytic solutions w=w(z)w=w\left(z) in a domain that is part of a neighbourhood of the point z=0z=0 in C{\mathbb{C}} or in the Riemann surface of either a rational or a logarithmic function. …”
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Monodromy of an Inhomogeneous Picard-Fuchs Equation
Published 2012-08-01“…The limiting value of the normal function at large complex structure is an irrational number expressible in terms of the di-logarithm.…”
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The Dynamics of Digits: Calculating Pi with Galperin’s Billiards
Published 2020-04-01“…This base can be any integer, but it can also be an irrational number, or even the base can be <inline-formula> <math display="inline"> <semantics> <mi>π</mi> </semantics> </math> </inline-formula> itself. …”
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The relative growth rate for the digits in Lüroth expansions
Published 2020-09-01“…In this note, the rate of growth of digits in the Lüroth expansion of an irrational number is studied relative to the rate of approximation of the number by its convergents. …”
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DNA Structure and the Golden Ratio Revisited
Published 2021-10-01“…B-DNA, the informational molecule for life on earth, appears to contain ratios structured around the irrational number 1.618…, often known as the “golden ratio”. …”
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Presburger Arithmetic with algebraic scalar multiplications
Published 2021-07-01“…We consider Presburger arithmetic (PA) extended by scalar multiplication by an algebraic irrational number $\alpha$, and call this extension $\alpha$-Presburger arithmetic ($\alpha$-PA). …”
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