DIGITS

作品数：25被引量：7H指数：2
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相关领域：自动化与计算机技术更多>>
相关作者：杨志兵朱霞更多>>
相关机构：第四军医大学冶金工业信息标准研究院首钢集团中国科学院更多>>
相关期刊：《Journal of Beijing Institute of Technology》《Wuhan University Journal of Natural Sciences》《Digital Chinese Medicine》《Applied Mathematics》更多>>
相关基金：国家自然科学基金更多>>
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On the Relative Growth Rate of the Digits in Sylvester Continued Fraction Expansions
《应用数学》2025年第2期468-476,共9页LV Meiying RAO Guilin 
Supported by Projects from Chongqing Municipal Science and Technology Commission(CSTB2022NSCQ-MSX0445)。
For the Sylvester continued fraction expansions of real numbers,FAN et al.(2007)proved that,for almost all real numbers,the nth partial quotient grows exponentially with respect to the product of the first n-1 partial...
关键词：Sylvester continued fraction expansions Growth rate Hausdorff dimension 
Lychrel Numbers in Base 10: A Probabilistic Approach
《Advances in Pure Mathematics》2024年第8期667-694,共28页Rostand S. Kuitché 
For decades, Lychrel numbers have been studied on many bases. Their existence has been proven in base 2, 11 or 17. This paper presents a probabilistic proof of the existence of Lychrel number in base 10 and provides s...
关键词：Probabilistic Approach PALINDROMES Lychrel Numbers Iteration Function DIGITS 
Collisions, or Reflections and Rotations, Leading to the Digits of π
《Applied Mathematics》2022年第9期705-732,共28页Franç ois Dubeau 
We analyze a problem of elastic collisions between elements of a system composed of two balls and a wall. Thanks to a change of variables, the problem is reduced to a sequence of reflections and rotations. Moreover, t...
关键词：Dynamical System Elastic Collisions Reflection Rotation Digits of π 
Transitioning from Discrete to Continuous Distribution Mathematica vs. Excel —An Example
《American Journal of Computational Mathematics》2022年第1期25-32,共8页Haiduke Sarafian 
Frequencies of the repeated integers of the first n digits of e.g. π utilizing commercial software are listed. The discrete distribution is utilized to evaluate its statistical moments. The distribution is fitted wit...
关键词：Digits of π Discrete Distribution Continuous Distribution Moments of Distribution EXCEL MATHEMATICA 
Hyperbolic Reflections Leading to the Digits of ln(2)
《Journal of Applied Mathematics and Physics》2022年第1期112-131,共20页Franç ois Dubeau 
We analyze a problem of interactions between elements of an ideal system which consists of two point masses and a wall in a hyperbolic setting. Thanks to a change of variables, the problem is reduced to a sequence of ...
关键词：Dynamical System Hyperbolic Setting Reflection Rotation DIGITS Logarithmic Constant 
Origin, Alternative Expressions of Newcomb-Benford Law and Deviations of Digit Frequencies
《Applied Mathematics》2021年第7期576-586,共11页Gene Whyman 
The Newcomb-Benford law, which describes the uneven distribution of the frequencies of digits in data sets, is by its nature probabilistic. Therefore, the main goal of this work was to derive formulas for the permissi...
关键词：Benford’s Law Confidence Intervals in Benford’s Law Alternative Expression of Benford’s Law Benford’s Law for Different Numeral Systems Frequencies of Digits at the Second Decimal Place 
Lüroth Expansion Digits and Maclaurin’s Inequality
《Wuhan University Journal of Natural Sciences》2018年第6期471-474,共4页LI Li CAO Fang TANG Shixin WU Yuhan 
Supported by the National Natural Science Foundation of China(11271148)
It is well known that for almost all real number x, the geometric mean of the first n digits di（x） in the Lüroth expansion of x converges to a number K0 as n→∞. On the other hand, for almost all x, the arithmetri...
关键词：Luroth series expansion Maclaurin＇s inequalities arithmetic mean geometric mean 
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