The Basic Structure of Productorials: Supplementary Properties and Case Studies
This work supplements the core resources developed by Marlo Moesia in his thesis, which has been completed and is scheduled for defense in November 2026.
Although publishing supplementary material prior to the core work from which it stems may seem unconventional, its essential purpose is to disseminate additional information that details and applies several of the concepts previously developed, without compromising the novelty of the thesis itself. This strategy was previously employed with success regarding the 2024 and 2025 articles (publications 008 and 009), which were likewise preceded by the publication of the thesis proposal (publication 007), whereas the standard practice would be to incorporate such a proposal into the thesis itself. In short, without an established reference source, it would have been unlikely for the editorial board of the journal Caderno Pedagógico to accept the articles on population growth for publication.
Given that there are no other known references addressing the Successive Operations Framework besides those listed on this site, readers seeking a more robust understanding of the topics addressed in this supplementary work are recommended to consult the thesis as soon as it becomes available.
This work was published by Centro Universitário Maurício de Nassau de Juazeiro do Norte, 2026. DOI: 10.29327/5964193.
ABSTRACT
This work provides technical support by exploring additional topics of interest within the Successive Products Framework, thereby complementing and illustrating its foundational theory. Specifically, it addresses issues regarding the consistency among different sets of arguments, the relaxation of previously known properties, and applications in particular case studies. Readers are encouraged to explore the author’s previous works on successive products. These include the master’s dissertation, subsequent papers, and the doctoral thesis entitled Successive Operations with Real Variable Applied to the Representation of Special Functions and Computational Modeling.
This book addresses a study on the consistency of two distinct calculation techniques developed for the successive products framework, along with several case studies, including algorithms for testing purposes.