On 1 page, 10 foundational results that help establish and guide the foundations of Transformatics as its own branch of mathematics.

TITLE: Transformatics 101

The Answer To: But what really is this TRANSFORMATICS all about? Why is it necessary and where is it being applied?

ABSTRACT:

In only 10 general foundational results --- all based on earlier mathematical research by the author, we distill and establish, in a summarized form, the core foundations of Transformatics as its own mathematical theory, branch, or discipline. In this presentation, each foundational result is accompanied by one or more references to some earlier work where the idea or presented concept was first developed, presented, or applied by the author during their research.

KEYWORDS: Foundations, Transformatics, Sequence Analysis, Sequence Transformers

DOI: https://doi.org/10.6084/m9.figshare.30285106
URL: https://www.academia.edu/144314085/Transformatics_101

CITE:

@article{Lutalo2025_trans_101,
author = "Joseph Willrich Lutalo",
title = "{Transformatics 101}",
year = "2025",
month = "10",
publisher = "Figshare",
journal = "Thesis",
url = "https://figshare.com/articles/thesis/Transformatics_101/30285106",
doi = "10.6084/m9.figshare.30285106.v1",
note = "A first distillation of the essential foundations of Transformatics as its own field of mathematics. Accessible via: \url{https://doi.org/10.6084/m9.figshare.30285106.v1}"
}

TRANSFORMATICS 101 - explained | 12 JAN 2026 | Fut. Prof. JWL | https://tea.nuchwezi.com

Now we can understand the theory behind such a higher-order transformer such as this Sequence Characteritic Graph Generator for statistical analysis of anything:

#SC-Graph Generator #v1.0.1
v:vIN|u!:|v:vMSS|v:vSC:{}|l:lPROC|y:vMSS|d!:^.|v:vW|y:vMSS|d:^.|v:vMSS|y:vW|f:^$:lEND|y:vIN|d*!:vW|v:|v!:|v:vF|v:vD:_|g*:_:vW:vF:vD|v:vSC1|g*:{}:vSC:vSC1|v:vSC|j:lPROC|l:lEND|y:vSC|r!:__:.|d:.$||r!:[.]:{ }|h!:{ }
#go try it via:
#tea.nuchwezi.com

#transformatics #appliedmathematics #sequencetransformers #tealanguage #modernmaths

----[ FROM UGANDA! HAPPY INDEPENDENCE DAY! ]

A Ugandan researcher, mathematician and computer scientist has successfully distilled, codified and presented the foundations of a new branch of mathematics known as TRANSFORMATICS. The highlights of this HUGE milestone are as shared hereafter:

---[MINI-THESIS DETAILS]:

TITLE: Transformatics 101 - explained
AUTHOR: Joseph Willrich Lutalo <jwl@nuchwezi.com>

ABSTRACT:

In only 10 general foundational results[1][2]-all based on earlier mathematical research by the author, as well as 10 extra abstractions spanning how transformatics might be leveraged as a basis mathematics for problems in; number theory and cryptography (o-SSIs); mathematical statistics (ADM, TCR, PCR, MSS, SC, PC); linear algebra (super sequences); computer science (TEA language, transformer-chains/sequence-transformers) and information theory (entropy of a sequence) among others, we distill and establish, in a summarized form, the core foundations of Transformatics[3] as its own mathematical theory, branch, or discipline. In this mini-thesis. Each foundational result presented is likewise accompanied by one or more references to some earlier work where the idea or presented concept was first developed, presented, or applied by the author during their research. Useful notes and commentary are also included where necessary, and in the extension decade of proposed abstractions, also commentary about how the proposals relate to the decade of foundational results likewise is catered for.

KEYWORDS: Foundations, Transformatics, Sequence Analysis, Sequence Transformers, Thesis

DOI: https://doi.org/10.6084/m9.figshare.30305056

CITE:

@article{Lutalo2025,
author = "Joseph Willrich Lutalo",
title = "{TRANSFORMATICS 101 - explained}",
year = "2025",
month = "10",
url = "https://figshare.com/articles/thesis/TRANSFORMATICS_101_-_explained/30305056",
doi = "10.6084/m9.figshare.30305056.v3",
note = {\textit{The academic use electronic reference paper is:} \url{https://doi.org/10.6084/m9.figshare.30305056.v3}}
}

BOOK-URL: http://bit.ly/transformatics101book

#thephds #universityofoxford #nuchweziresearch #profjwl #transformatics #modernmaths