Predictive analytics in the Swiss pharmaceutical sector: SRMs are the right amount of mathematics for GenAIs
Description
Abstract: This is the sixth and final paper on collaborative work between humans and GenAIs, with the main objective of showing that Generative Artificial Intelligence agents – Chatbots (GenAIs) are far above the childish definition that treats them as “digital statistical parrots”. They certainly do not have physical organs, emotions and feelings like humans, but they have a structure very close to human cognitive architecture, often superior. Due to the nature of GenAIs, programmed and trained by humans, they will certainly reproduce what they receive from them. When the focus is on computational mathematical modeling, a very significant advance is observed, to the point of being able to solve several typical problems of Infinite Series with Multiple Ratios (SRMs). Most of these problems have not even been solved by humans, with the exception of the SRM specialist who writes to you in this sixth and final paper and in the five previous ones. This paper addresses a situation with mathematical modeling of a hypothetical situation, but which serves to record how much humanity needs to adopt SRMs, especially companies that develop advanced GenAI agents and that seek General Artificial Intelligence (AGI). Here are the attempts to solve the GenAI problem: Grok 3, Gemini 2.5 Pro Experimental, DeepSeek and ChatGPT o4-mini-high. All alternatives were rejected because they did not provide the requested answer. It is important to highlight that the models presented made clear the advances of the models, during these 4 months of daily tests that I carried out with GenAIs. I hope that the global scientific community realizes the strength of collaborative scientific work with GenAIs, which is completely different from using and processing information that goes beyond what we know from doing science and gives the childish idea of these are tools that repeat statistical data, mere “digital parrots”. The reality is different, much more embodied and promising, but it still needs adjustments and improvements like those presented in this paper.
Technical info (En)
Dear worldwide scientific community, This is the 6th and last paper I publish to highlight the importance of Infinite Series with Multiple Ratios (SRMs) for GenAIs. The evidence in this 6th paper in 40 days, perhaps a WORLD RECORD, is a gigantic effort to show the world that there is something "NEW" and still unheard of in mathematics. In this paper 6 you will observe how no GenAI has been able to solve and the reason is simple. SRMs are not yet part of the repertoire of my favorite GenAI (Grok 3) or the others. I did what I could. I hope you like it and continue supporting and sharing my papers. Thanks to everyone!
Paper 21 - França, C. R. (2025). Deep Math is proof of the viability of Self-Replicating Artificial Intelligence Machine Systems (SRAIMs) and the level of excellence of some of the leading GenAIs. Zenodo. https://doi.org/10.5281/zenodo.18049949
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Paper 20 - França, C. R. (2025). Overcoming the Strategic Gap: A Counterpoint to Current "Humans First" Mars Colonization Architectures and Self-Replicating Artificial Intelligence Machine Systems (SRAIMs). Zenodo. https://doi.org/10.5281/zenodo.17925369
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Paper 19 - França, C. R. (2025). The exploratory possibilities of Mars through Artificial Intelligence Machines (AIMs) as a precursor to a civilizational milestone. (1° Version). Zenodo. https://doi.org/10.5281/zenodo.17886639
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Paper 18 - França, C. R. (2025). SRMs & Few-Step Discrete Flows: Connections between Algebraic Determinism and Probabilistic Generation. Zenodo. https://doi.org/10.5281/zenodo.17406902
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Paper 17 - França, C. R. (2025). Pipeline SRMs and GenAIs: Nonlinear Predictive Frameworks for Drone Swarms and Mobility in Defense. Zenodo. https://doi.org/10.5281/zenodo.17220829
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Paper 16 - França, C. R. (2025). Quantum Biology Based on SRMs: From Cell Proliferation to Cyclical Spheres of Preventive Health. Zenodo. https://doi.org/10.5281/zenodo.17188874
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Paper 15 - França, C. R. (2025). ACH – A Quantum Inspired Annealing Cloud Application Powered by SRMs & GenAIs. Zenodo. https://doi.org/10.5281/zenodo.17163200
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Paper 14 - França, C. R. (2025). Quaternary Quantum Dynamics and SRM Algorithms: A Middle-Path Framework Beyond Qubits. Zenodo. https://doi.org/10.5281/zenodo.17095495
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Paper 13: França, C. R. (2025). SRMs and the Middle Path: Bridging Relativity and Quantum Mechanics. Zenodo. https://doi.org/10.5281/zenodo.17069526
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Paper 12: França, C. R. (2025). GenAIs and SRMs: A Guide to Conceptual Bridges and Practical Applications in Quantum Computing. Zenodo. https://doi.org/10.5281/zenodo.17042186
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Paper 11: França, C. R. (2025). SRMs meet Schrödinger: Multiple-ratio expansions for quantum dynamics and entanglement in a timeless dialogue. Zenodo. https://doi.org/10.5281/zenodo.17017967
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Paper 10: SRMs and GenAIs: Bridges between Infinite Series with Multiple Ratios, Generative Intelligence and Quantum Computing
França, C. R. (2025). SRMs and GenAIs: Bridges between Infinite Series with Multiple Ratios, Generative Intelligence and Quantum Computing. Zenodo. https://doi.org/10.5281/zenodo.16888353
PAPER 9 ORIGINAL PUBLISHED IN 2022 INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTERS IN SIMULATION VOL 16 - Heru Technologies encryption method: unique in the world that uses Unpublished mathematical formulas and encrypts with binary disturbances.
França, C. R. (2025, junho 23).
https://doi.org/10.5281/zenodo.15717868
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📌 Foundational Cryptographic Work (2018)
For readers interested in the original cryptographic concepts that inspired this research line, a foundational chapter was written in 2018 and has now been officially published on Zenodo with a dedicated DOI. This work introduces the earliest applications of the Infinite Series with Multiple Ratios (SRMs) in the field of binary perturbation cryptography.
⚠️ Note: The publication is in Portuguese, as it was originally published in a national academic book in Brazil. The author has made it available internationally for documentation and historical record purposes.
🔗 Método de criptografia Heru Technologies (2018)
(Heru Technologies encryption method: the only one in the world based on unpublished mathematical formulas and capable of encrypting with binary perturbations)
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7. 05th JUNE/2025 - França, C. (2025). Beyond Binary Trees: A Paradigm Shift in Data Search Efficiency via SRMs-Based Structures. Zenodo. https://doi.org/10.5281/zenodo.15602787 - SEVENTH PAPER.
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1. França, C. R. (2025 p1). Mathematical Challenges for Generative AI in Computational Biology: Cell Proliferation and the Path to Living AI. Zenodo. https://doi.org/10.5281/zenodo.15033127
2. França, C. R. (2025 p2). Grok 3 and the Authorial and Unpublished Mathematical Formulas as a learning tool for Generative AIs: Reactions and developments in the face of advanced calculations. Zenodo. https://doi.org/10.5281/zenodo.15066761
3. França, C. R. (2025 p3). Advanced computational mathematics and future point modeling of a predictive system: A collaborative scientific research between a human and a Generative AI. Zenodo. https://doi.org/10.5281/zenodo.15083825
4. França, C. R. (2025 p4). Heru Technologies: Modeling Escape Trajectories of a Probe Trapped in an Asteroid's Gravitational Field Using SRMs and Human-GenAI Collaboration. Zenodo. https://doi.org/10.5281/zenodo.15151423
5. França, C. R. (2025 p5). SRMs and GenAI applied to the stock market: Predictive system and projections of future points for industrial expansion and finance. Zenodo. https://doi.org/10.5281/zenodo.15252352
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