Statistical Analysis of Descending Open Cycles of Collatz Function
Mathematics, 2023 Collatz dynamic systems present a statistical space that can be studied rigorously. In a previous study, the author presented Collatz space in a unique dynamic numerical mode by tabulating a sequential correlation pattern of division by 2 of Collatz ...
Kamal Barghout +3 more
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A Clustering Perspective of the Collatz Conjecture
Mathematics, 2021 This manuscript focuses on one of the most famous open problems in mathematics, namely the Collatz conjecture. The first part of the paper is devoted to describe the problem, providing a historical introduction to it, as well as giving some intuitive ...
José A. Tenreiro Machado +2 more
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The convergence classes of Collatz function
Theoretical Computer Science, 2011 AbstractThe Collatz conjecture, also known as the 3x+1 conjecture, can be stated in terms of the reduced Collatz function R(x)=(3x+1)/2h (where 2h is the larger power of 2 that divides 3x+1). The conjecture is: Starting from any odd positive integer and repeating R(x) we eventually get to 1.
Livio Colussi
exaly +4 more sources
Injectivity and surjectivity of Collatz functions
Discrete Mathematics, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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From Collatz Conjecture to chaos and hash function
Chaos, Solitons and Fractals, 2023 Masrat Rasool, Samir Brahim Belhaouari
exaly +2 more sources
Accelerated photosynthesis routine in LPJmL4 [PDF]
Geoscientific Model Development, 2023 The increasing impacts of climate change require strategies for climate adaptation. Dynamic global vegetation models (DGVMs) are one type of multi-sectorial impact model with which the effects of multiple interacting processes in the terrestrial ...
J. Niebsch +3 more
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Advances in Modelling Radiative Transfer, Heat Storage and Turbulent Transport to Evaluate CO<sub>2</sub>, Heat and Water Fluxes Over Broad-Leaved Forests: The CanVeg2 Model. [PDF]
Glob Chang BiolThe CanVeg2 biophysical model is presented with a focus on three novel components with regards to the CanVeg model: 3D ray tracing radiative transfer modeling, a stem energy budget, and wind and turbulence profiles from higher order closure modeling.
Béland M +5 more
europepmc +2 more sources
Almost all orbits of the Collatz map attain almost bounded values
Forum of Mathematics, Pi, 2022 Define the Collatz map ${\operatorname {Col}} \colon \mathbb {N}+1 \to \mathbb {N}+1$ on the positive integers $\mathbb {N}+1 = \{1,2,3,\dots \}$ by setting ${\operatorname {Col}}(N)$ equal to $3N+1$ when N is odd and $N/2$
Terence Tao
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Environmental factors have a greater influence on photosynthetic capacity in C<sub>4</sub> plants than biochemical subtypes or growth forms. [PDF]
New PhytolSummary Our understanding of how photosynthetic capacity varies among C4 species and across growth and measurement conditions remains limited. We collated 1696 CO2 response curves of net CO2 assimilation rate (A/Ci curves) from C4 species grown and measured at various environmental conditions and used these data to estimate the apparent maximum ...
Fan Y +29 more
europepmc +2 more sources
Problems in number theory from busy beaver competition [PDF]
Logical Methods in Computer Science, 2015 By introducing the busy beaver competition of Turing machines, in 1962, Rado defined noncomputable functions on positive integers. The study of these functions and variants leads to many mathematical challenges.
Pascal Michel
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