Mathematician's Folder
Theoretical Framework
Published in the Proc. of International Conference on Artificial Intelligence, Computer, Data Sciences and Applications (ACDSA 2024), available at IEEE Xplore.
A New Set Theory for Analysis
Peer reviewed publication outlining the mathematical framework and basis of the addition algorithm and adder circuit. It consists of the technical construction of mathematical structures that evolve into our definition of addition.
Fast Addition for Multiple Inputs with Applications for a Simple and Linear Fast Adder/Multiplier And Data Structures
Juan Pablo Ramirez. (2023). Qeios. doi:10.32388/G6KRQE.
Systems and Categories
Juan Ramirez. arXiv, 2023, arXiv:1509.03649v5
Citations
Our foundational theoretical framework has been adopted and extended by subsequent research, validating its relevance and providing a basis for ongoing innovation in the field of computer arithmetic. Our published work has become a cited reference in the field, serving as a foundational element for new research and affirming its direct relevance to contemporary computational problems.
Finite Arithmetic Axiomatization for the Basis of Hyperrational Non-Standard Analysis
Lovyagin, Yuri N., and Nikita Yu. Lovyagin. 2021. " Axioms 10, no. 4: 263. https://doi.org/10.3390/axioms10040263
Bit-Parallel Implementations of Neural Network Activation Functions in Onboard Computing Systems
Khachumov, Mikhail. 2025. Electronics 14, no. 12: 2348. https://doi.org/10.3390/electronics14122348