Go Read/CITE The Paper:

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Lutalo, Joseph Willrich (2025). The Theory of Sequence Transformers & their Statistics: The 3 Information Sequence Transformer Families (Anagrammatizers, Protractors, Compressors) and 4 New and Relevant Statistical Measures Applicable to Them: Anagram Distance, Modal Sequence Statistic, Transformation Compression Ratio and Piecemeal Compression Ratio. figshare. Online Resource. https://doi.org/10.6084/m9.figshare.29505824.v3

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---[In Brief]:

A new theory (3 Definitions, 2 Theorems, 11 Transformers and a total of 4 Statistical Measures) applicable to and relating to the matter of analyzing, manipulating and interpreting information sequences and transformations on them using some simple mathematics and algorithms. We have covered a total of 20 sequence transformation scenarios in this single work alone, and have touched on 3 major transformer families — anagrammatizers; that alter a sequence only in the order of its members, protractors; that multiply or grow the source sequence or some of its members, and then compressors: that reduce/summarize a sequence via elimination of some of its members in addition to other possible alterations. This paper proposes and lays the foundations of a new field of scientific & mathematical inquiry we might call TRANSFORMATICS*

---[Keywords]:

Foundations, Transformatics, Artificial Statistical Intelligence, Information Processing, Ordered Sequences, Strings, Symbol Sets, Cardinality, Statistics, Entropy Measures, Sequence Transformer Analysis


*Early reviewers, comments and feedback most welcome ✓

#transformatics #informationtransformers #preprints #acm #acmcs #acmstat #sigstat #sigtrans #mathematicalstatistics #transformers #generators #informationtheory #entropymeasures #rngs #phds #universityofoxford #nuchwezi #profjwl

Further Consequences of Base Symbol-Set Mathematics: what if A-Z was its own base?

QUESTION: So, it looks like, with the idea of arithmetic quantities of numbers based on position within their alphabet, that not only is 1+1 = 2, but a+h=i?

Answer from Inventor of Symbol Set Logic: *That'd be base-26!* Yes, its mathematics somewhat unintuitive given *a* is usually *10* in both base-36 and the more common base-16. But also, "h" as a quantity wouldn't exist in bases lesser than base-18. In which and beyond which, a + h would be "r" not "i". However, a new base with strictly only the letters of the Latin Alphabet would need to account for the quantity zero (0 not letter "O"), and so, perhaps that'd mean setting the first letter in the Alphabet to 0, or rather, that a = 0, b = 1,... , z = 25. In which case, that'd be base-26 or to avoid wars, just base-az proper indeed, and a + h = h or rather generally that:

a + • = • for any • from base-az={a,...,z}

#symbolsets #positionindices #basearithematics #alphabeticalmath #profjwl #newnumbertheories

Some of the supporting basic calculations... #baseaz #symbolsetlogic #symbolsetarithematic #basearithematic

A JWL Mini-Lecture: On Early Consequences of TRANSFORMATICS & Lu-Base Calculus

Mini-Lecture: https://youtu.be/tvMtsj_MokU

Associated+Relevant Publication: http://bit.ly/transformatics101

#transformatics #newmathematics #modernmathematics #physics #transformers #generators DETAILS: https://t.me/bclectures

Founder of Lu-Number System (LNS) that helps encode < signal & anti-signal >

✨🔆REF: https://bit.ly/lnspaper

Associated BLACKBOARD

A JWL Mini-Lecture: On Early Consequences of TRANSFORMATICS & Lu-Base Calculus

Relevant early post-paper results include some interesting consequences of this new logic and the associated calculus on maths and engineering ( generators, Latin Alphabet letters as first-citizen numbers and not as mere extensions of base-10 into base-36, etc. )

Mini-Lecture: https://youtu.be/tvMtsj_MokU

Associated+Relevant Publication: http://bit.ly/transformatics101thesis

#transformatics #newmathematics #modernmathematics #physics #transformers #generators DETAILS: https://t.me/bclectures/821

■■ I'M Available 4 Hire:

▪︎ Software Engineer
▪︎ App Designer
▪︎ Web Developer
▪︎ ICT Dirty Work (data clean-up, pre-processing, implementing proof-of-concept, etc.)
▪︎ Business ICTs
▪︎ Programming Anything

GUARANTEE: Shall deliver quality work at intermediate to advanced levels at the cost of entry-level work. I have close to 2 decades of field experience.

*CONTACT ME: +256704464749 | joewillrich@gmail.com | Joseph Willrich L.

#BONUS: If U Pay for Data Costs or Lunch & Transport (for on-site work, can deliver up to 25% without any deposit).

#engineerforhire #programmerforhire #expertforhire #softwareengineers #computerscientist #jobseeking #4hire

This is the latest TEA A: to Z: Command Space reference manual.

UPDATE Version: 16 JULY, 2025.

REF: https://bit.ly/tazfile

#tealanguage #reference #manual #programmingguide #textbook

The Latest TAZ at a glance. Plan is underway, to also update the Android TEA SOE. Otherwise, keep using the Linux/UNIX version (Install Instructions At: https://bit.ly/projtea) It's up-to-date ✓

#modern #programminglanguages #tealanguage #linux #gettingonboard

TEA RESEARCH: TEA ON THE WEB A High-Level Web Software Operating Environment Specification For The TEA Programming Language: Web TEA Architecture

The planned architecture for how this is to proceed is as laid out in the System Architecture schematic in the associated paper:

@misc{lutalo2025tea,
  author       = {Lutalo, Joseph Willrich},
  title        = {TEA RESEARCH: TEA ON THE WEB A High-Level Web Software Operating Environment Specification For The TEA Programming Language: Web TEA Architecture},
  year         = {2025},
  publisher    = {Nuchwezi Research},
  doi          = {10.6084/M9.FIGSHARE.29591687},
  url          = {https://doi.org/10.6084/M9.FIGSHARE.29591687},
  note         = {Accessible via: \url{https://doi.org/10.6084/M9.FIGSHARE.29591687}}
}

#softwareengineeering #softwarelanguageengineering #languageresearch #webprogramming #nuchweziresearch #compilers #runtimes #operatingsystems #operatingenvironments #systemsarchitecture

---[ABSTRACT]:

Expressed as the combination of 3 environments; the local-browser/system environment, the TEA runtime environment, and the web/external environment-into a single, overall Software Operating Environment[1] for the TEA programming language, this is the planned architecture for executing TEA programs within a web browser context on any device or technology platform or basically over the web. It is intended as the next generation and alternative reference implementation for the Transforming Executable Alphabet(TEA) language that is to be built with [vanilla] JavaScript as the base/host language instead of Python 3 that currently powers the command-line reference implementation of TEA[2][3] installable on Linux, Debian-package compliant Operating Systems as well as anywhere Python 3 source-code can run. This implementation shall attempt to support the complete TEA Instruction Set as currently specified in the TAZ[4]. Ultimately, this implementation shall make it simple and readily possible for the TEA language to be used by netizens or anyone able to access the Internet or use a standard web-browser such as Firefox, Google Chrome or Safari. Such a breakthrough would then also allow us to see such important and generally useful programs such as ZHA[5] being able to run in any web-browser or basically over the web, but also, researchers and especially mathematical scientists interested in practically exploring or applying the newly proposed field of transformatics[6], shall then be able to do so, from the comfort of their web-browsers and not the command-line as is currently possible.

Today's Essential Reading:

When people who can’t think logically design large systems, those systems become incomprehensible. And we start thinking of them as biological systems. And since biological systems are too complex to understand, it seems perfectly natural that computer programs should be too complex to understand... Instead of a sensible world of computing, we will live in a world of homeopathy and faith healing.

— Leslie Lamport (a 2013 A.M. Turing Award Winner), in "The Future of Computing: Logic or Biology", 2003.

#quotes #essentialreadings #wisdom #scienceandtechnology #quotables #turingaward

With a song we were first taught in primary school to celebrate milestones, we join hands to sing and dance as we celebrate a paper by J. Willrich that could forever alter the face of mathematics and computer science! Thanks all who are reading and waiting to hear concerning what becomes of the TRANSFORMATICS paper of July 2025! DETAILS: https://t.me/bclectures #transformatics #statisticalmathematics #automatons #transformers and the future of #artificialintelligence at #nuchweziresearch