Boolean Hypercubes, Classification of Natural Numbers, and the Collatz Conjecture
Journal of Mathematical Sciences and Modelling, 2022 Using simple arguments derived from the Boolean hypercube configuration, the structure of natural spaces, and the recursive exponential generation of the set of natural numbers, a linear classification of the natural numbers is presented.
Carlos Castro +1 more
exaly +5 more sources
Boolean Hypercubes, Mersenne Numbers, and the Collatz Conjecture
Journal of Mathematical Sciences and Modelling, 2020 This study is based on the trivial transcription of the vertices of a Boolean \textit{N}-Dimensional Hypercube $\textbf{H}_{N} $ into a subset $\mathbb{S}_{N}$ of the decimal natural numbers $\mathbb{N}.$ Such straightforward mathematical manipulation ...
Ramon Carbó-Dorca i Carré
exaly +6 more sources
Boolean Hypercubes: The Origin of a Tagged Recursive Logic and the Limits of Artificial Intelligence
Universal Journal of Mathematics and Applications, 2021 Boolean and logical hypercubes are discussed as providers of tags to logical object sets, transforming them into logical tagged sets, a generalization of fuzzy sets.
Ramon Carbó-Dorca i Carré
exaly +6 more sources
Boolean hypercubes and the structure of vector spaces
Journal of Mathematical Sciences and Modelling, 2018 The present study pretends to describe an alternative way to look at Vector Spaces as a scaffold to produce a meaningful new theoretical structure to be used in both classical and quantum QSPR.
Ramon Carbó-dorca
doaj +4 more sources
A fixed point theorem for Boolean networks expressed in terms of forbidden subnetworks [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We are interested in fixed points in Boolean networks, $\textit{i.e.}$ functions $f$ from $\{0,1\}^n$ to itself. We define the subnetworks of $f$ as the restrictions of $f$ to the hypercubes contained in $\{0,1\}^n$, and we exhibit a class $\mathcal{F ...
Adrien Richard
doaj +1 more source
UNBIASED ESTIMATORS OF SPECIFIC CONNECTIVITY
Image Analysis and Stereology, 2011 This paper deals with the estimation of the specific connectivity of a stationary random set in IRd. It turns out that the "natural" estimator is only asymptotically unbiased.
Jean-Paul Jernot +2 more
doaj +1 more source
Learnability of the Boolean Innerproduct in Deep Neural Networks. [PDF]
Entropy (Basel), 2022 Erdal M, Schwenker F.
europepmc +1 more source
Automating IoT Data Ingestion Enabling Visual Representation. [PDF]
Sensors (Basel), 2021 Arman A +5 more
europepmc +1 more source
Minimum complexity drives regulatory logic in Boolean models of living systems. [PDF]
PNAS Nexus, 2022 Subbaroyan A, Martin OC, Samal A.
europepmc +1 more source
CELLoGeNe - An energy landscape framework for logical networks controlling cell decisions. [PDF]
iScience, 2022 Andersson E, Sjö M, Kaji K, Olariu V.
europepmc +1 more source