Furstenberg Topology and Collatz Problem
The aims of this paper are two-fold. First, we present the result of the decomposition on the iterations of a Collatz transform into arithmetic sequences.
Edward Tutaj, Halszka Tutaj-Gasinska
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Collatz computation sequence for sufficiently large integers is a pseudo-random bit sequence
Collatz conjecture states that each positive integer will return to 1 after two computations — either [Formula: see text] when x is odd or [Formula: see text] when x is even. We denote [Formula: see text] as ‘I’ and [Formula: see text] as ‘O’.
Wei Ren
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A Narrative Review of Speech and EEG Features for Schizophrenia Detection: Progress and Challenges. [PDF]
Teixeira FL +5 more
europepmc +1 more source
Deep neural networks have achieved state-of-the-art performance in tasks ranging from image classification to regression. However, their training dynamics remain highly sensitive to weight initialization. This is a fundamental factor that influences both
Zehara Eshetu Seid +3 more
doaj +1 more source
Characterizing social and cognitive EEG-ERP through multiple kernel learning. [PDF]
Nieto Mora D +4 more
europepmc +1 more source
Using temporal heatmaps to identify worthwhile articles on immune checkpoint blockade for melanoma (ICBM) in Mainland China, Hong Kong, and Taiwan since 2000: A bibliometric analysis. [PDF]
Juang SJ +4 more
europepmc +1 more source
Global stability of an age-structured population model on several temporally variable patches. [PDF]
Kozlov V +3 more
europepmc +1 more source
The Collatz Conjecture can be stated as: using the reduced Collatz function $C(n) = (3n+1)/2^x$ where $2^x$ is the largest power of 2 that divides $3n+1$, any odd integer $n$ will eventually reach 1 in $j$ iterations such that $C^j(n) = 1$. In this paper we use reduced Collatz function and reverse reduced Collatz function. We present odd numbers as sum
openaire +2 more sources
Future Time Perspective and the Achievement of Optimal Best: Reflections, Conceptualizations, and Future Directions for Development. [PDF]
Phan HP, Ngu BH, McQueen K.
europepmc +1 more source
A Dynamic DNA Color Image Encryption Method Based on SHA-512. [PDF]
Zhou S, He P, Kasabov N.
europepmc +1 more source

