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The Limits of Mathematics---Third Version [PDF]
, 1994 This is yet another version of the course notes in chao-dyn/9407003. Here we change the universal Turing machine that is used to measure program-size complexity so that the constants in our information-theoretic incompleteness theorems are further reduced. This is done by inventing a more complicated version of lisp in which the parentheses associating
Gregory J. Chaitin
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Obtaining Information about Nature with Finite Mathematics
Proceedings, 2021 The main goal of this presentation is to explain that classical mathematics is a special degenerate case of finite mathematics in the formal limit p→∞, where p is the characteristic of the ring or field in finite mathematics.
Felix Lev
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Tạp chí Khoa học, 2023 This paper establishes a mean convergence theorem for triangular arrays of rowwise and pairwise mn-dependent random variables. Some authors studied limit theorems for sequences of pairwise m-dependent random variables where m is fixed (see, e.g ...
Le Van Thanh, Pham Nhu Y
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Probabilistic thinking in prospective teachers from the use of TinkerPlots for simulation: Hat problem [PDF]
Journal of Pedagogical Research, 2022 Solving real-life problems through mathematical modeling is one of the aims of modern mathematics curricula. For this reason, prospective mathematics teachers need to acquire modeling skills and use these skills in learning environments in terms of ...
Timur Koparan +1 more
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Discussion of foundation of mathematics and quantum theory
Open Mathematics, 2022 Following the results of our recently published book [F. Lev, Finite Mathematics as the Foundation of Classical Mathematics and Quantum Theory. With Applications to Gravity and Particle Theory, Springer, 2020, ISBN 978-3-030-61101-9], we discuss ...
Lev Felix M.
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Characterizing Mathematics Anxiety and Its Relation to Performance in Routine and Adaptive Tasks
Journal of Numerical Cognition, 2022 Mathematics anxiety hinders students' mathematical achievement already in primary school, but research on its effects beyond whole number knowledge is limited. The main aim of the current study is to examine how state and trait mathematics anxiety relate
Hilma Halme +3 more
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Heliyon, 2021 The notion of limit is one of the fundamental concepts which underpins advanced calculus of one or more variables in the field of analysis. However, understanding the concept of limit has been an impenetrable problem for many students in Ethiopian ...
Mulat Gebeyehu Baye +2 more
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Discrete Dynamics in Nature and Society, 2021 Firstly, we introduce the definitions of G-asymptotic tracking property, G-asymptotic average tracking property, and G-quasi-weak almost-periodic point. Secondly, we study their dynamical properties and characteristics.
Zhanjiang Ji
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A pedagogical model for STEAM education [PDF]
Journal of Research in Innovative Teaching & Learning, 2023 Purpose – Certain researchers have expressed concerns about inequitable discipline representations in an integrated STEM/STEAM (science, technology, engineering, arts and mathematics) unit that may limit what students gain in terms of depth of knowledge ...
Marja G. Bertrand +1 more
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