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Formalization of the Equivalence among Completeness Theorems of Real Number in Coq
Published 2020-12-01Subjects: “…real number theory…”
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On the Heron's method for approximating the cubic root of a real number
Published 1997-08-01Get full text
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23
Decision problems for linear recurrences involving arbitrary real numbers
Published 2021-08-01“…We study the decidability of the Skolem Problem, the Positivity Problem, and the Ultimate Positivity Problem for linear recurrences with real number initial values and real number coefficients in the bit-model of real computation. …”
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On certain Banach spaces of difference sequences of fuzzy real numbers
Published 2014-01-01Subjects: “…fuzzy real numbers…”
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Lattices from totally real number fields with large regulator
Published 2015“…We look for examples of totally real number fields with large regulator and inert small primes inside some families of cyclotomic fields. …”
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A Note on the Reality of Incomputable Real Numbers and Its Systemic Significance
Published 2021-06-01“…In this regard, we focus on Incomputable (lacking an algorithm that computes in finite time) Real Numbers (IRNs). We consider how, for measurements, the usual approach to dealing with IRNs is to approximate to avoid the need for more detailed, unrealistic surveys. …”
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Physical Computing: Unifying Real Number Computation to Enable Energy Efficient Computing
Published 2021-03-01Get full text
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28
Real number approximation by a rational number in the approximating k-ary algorithm
Published 2019-06-01Get full text
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29
On Some Properties Of 0-Expansions Of Real Numbers Related To Regular Continued Fraction Expansion
Published 2022“…This introductory chapter discusses background study of continued fraction expansions of real numbers which highlights the development of various types of continued fraction expansions. …”
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Exploring Hardware Fault Impacts on Different Real Number Representations of the Structural Resilience of TCUs in GPUs
Published 2024-01-01Subjects: Get full text
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Implementation of Bourbaki's Elements of Mathematics in Coq: Part Two, From Natural Numbers to Real Numbers
Published 2016-12-01Subjects: Get full text
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Multi-objective steel plate cutting optimization problem based on real number coding genetic algorithm
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33
Detecting and Recovering Integer Data Manipulated by Multiplication With a Nonintegral Real Number and a Rounding Operation
Published 2021-01-01“…From our mathematical analysis of the manipulation process, we can prove that the nonintegral real number (<inline-formula> <tex-math notation="LaTeX">$\alpha $ </tex-math></inline-formula>) used in the multiplication exists not as a single real number but as an interval containing infinitely many real numbers, any of which could have been used to produce the same manipulation result. …”
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Generalized difference strongly summable sequence spaces of fuzzy real numbers defined by ideal convergence and Orlicz function
Published 2013“…We study some new generalized difference strongly summable sequence spaces of fuzzy real numbers using ideal convergence and an Orlicz function in connection with de la Vallèe Poussin mean. …”
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APPLICATIONS OF THE FRACTIONAL DIFFERENCE OPERATOR FOR STUDYING EULER STATISTICAL CONVERGENCE OF SEQUENCES OF FUZZY REAL NUMBERS AND ASSOCIATED KOROVKIN-TYPE THEOREMS
Published 2022-10-01Subjects: “…sequences of fuzzy real numbers…”
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Applications of <i>q</i>-Real Numbers to Triple <i>q</i>-Hypergeometric Functions and <i>q</i>-Horn Functions
Published 2023-05-01“…The purpose of this article is to study how <i>q</i>-real numbers can be used for computations of convergence regions, <i>q</i>-integral representations of certain multiple triple <i>q</i>-Lauricella functions. …”
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Emergency avoidance control system for an automatic vehicle (A method to generate operating waveforms using real number coded immune algorithm)
Published 2015-08-01“…Operation waveforms are generated by linear interpolation through designated data points. Real number type IA, which is coded real number expression, is adopted in order to find data points. …”
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A heuristic solution to Fermat's last theorem
Published 2023-03-01Subjects: “…Algebra. Trigonometry. Real Numbers. Math Analysis.…”
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