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introducing
NUMBER OF THE DAY
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⚡ Introducing Number of The Day... Interesting excursions into basic numeric analysis for the young and adults interested in keeping tabs on what interesting numbers jump out of important research...

-----| QUICK ANALYSIS |-----

~> the first known Lu-Number?

~> it is both an o-SSI and n-SSI for base-10 is false

~> it has two fixed o-SSI conjugates under the addition operation [1]

~> likely to naturally ease unlocking vaults and melt ice

~> Research still ongoing

REFS:

1. Lutalo, Joseph. "Concerning A Special Summation That Preserves The Base-10 Orthogonal Symbol Set Identity In Both Addends And The Sum." (2025). URL: https://t.me/bclectures/640

-----| YOUR TURN 2 NOD |-----

🤞😆 Alright, so what's your take on today's NOTD?

#mathematics #numbers #analysis #numericalanalysis #cryptography #creativeanalysts #alanturing #enigmas basically #funwithnumbers @bclectures #jwl

#notd #numberoftheday essential #21centuryskills #codeanalysis #cryptography #zha #zhaskills #braingames for for all ages ✓✓✓

PAPER TITLE: Philosophical and Axiomatic Development of The Lu-Base Calculus - Quantifiable Identities; Definitions, Numbers, Bases, Symbol and Set Operations and Important Symbolic and Quantifiable Results Derivable from Them

ABSTRACT:
This is still a draft abstract work; partially purely conceptual and still evolving, but also final and readily applicable/usable, in some contexts across mathematics, philosophy and logic, but also derivative sciences and mathematical disciplines. The work builds on earlier work by Joseph W. Lutalo since first presentation of the GTNC paper in 2024.

PAPER TITLE: Philosophical and Axiomatic Development of The Lu-Base Calculus - Quantifiable Identities; Definitions, Numbers, Bases, Symbol and Set Operations and Important Symbolic and Quantifiable Results Derivable from Them

ABSTRACT:
This is still a draft abstract work; partially purely conceptual and still evolving, but also final and readily applicable/usable, in some contexts across mathematics, philosophy and logic, but also derivative sciences and mathematical disciplines. The work builds on earlier work by Joseph W. Lutalo since first presentation of the GTNC paper in 2024.

KEYWORDS: Philosophy, Foundations, Mensuration, Numbers, Bases, Arithmetic, Symbol Sets, Identity, Quantity, Meaning

ABOUT PAPER: There is a plan to formalize more ideas concerning numbers and operations on them that have been encountered at Nuchwezi Research and during Joseph's adventures working on a PhD - in computer science in particular. This is a work-in-progress towards that end, but there shall likewise follow other papers, to help formally present and develop the important theory and ideas being encountered, and so as to finally offer a thorough, robust theoretical and logical framework upon which to construct new, or better scientific and especially technological innovations and pragmatic solutions in times to come, but also offer some alternative/better interpretative theory for some past or present such solutions already in use.

#Research #ResearchPaper #NumberTheory #SymbolSets #Cryptography #ProfJWL #Nuchwezi #ComputerScience #Preprints

TO CITE:

Lutalo, J. W. (2025). Philosophical and Axiomatic Development of The Lu-Base Calculus - Quantifiable Identities; Definitions, Numbers, Bases, Symbol and Set Operations and Important Symbolic and Quantifiable Results Derivable from Them. Nuchwezi. https://doi.org/10.6084/m9.figshare.29136755

Go Read The Paper: http://bit.ly/lubasecalculus

Some more clarification on the relevance of this on-going work

In Informal Proceedings of Meta Mathematics Research: Lu-Numbers:

———l Fut. Prof. JWL C.M.R.W | jwl@nuchwezi.com | Research _+_*_ _*_{{}_{{}{}{{}}{}{}{{{{}}}}}

#MetaMathematics #Foundations #Systems #LuNumbers

In Informal Proceedings of Meta Mathematics Research: Lu-Numbers:

❝A number system in which numbers are both identifiers and quantifiers. The [number] processors [that can produce such numbers --- a Lu-Number Processor], when presented with either an empty set or a set of sets with the empty set as their only member or other sets only containing the empty set or other non empty sets etc., returns with either 0 or some natural number N, where N is related to any non empty set it was presented with. The later are signal; a measure of some process, the nested set structure encoding or expressing an absolute property describing/about it, such as a count or a class/category. The former are merely results of mere replication or [re]encoding; presented with an empty set, present an empty set in a different or similar form anything else perhaps being a terminal result; nothing is returned, itself then being the signal that a process terminated perhaps; identity and quantifier generators; neurons; brains, sensors, processors,... in essence.❞


———l Fut. Prof. JWL C.M.R.W | jwl@nuchwezi.com | Research _+_*_ _*_{{}_{{}{}{{}}{}{}{{{{}}}}}

#MetaMathematics #Foundations #Systems #LuNumbers

The things we live to work on...

applying #mathematics #computerscience #softwareengineering #programming #design #hacking #systems #thinking and lots more.. especially with ICs ⚙️✨✨

Those with computers, please install & test our special research project result; ZHA, but also provide feedback:

curl -Ls https://bit.ly/installtea | bash

#linux #windowssubsystemforlinux #unix #tealanguage #personalassistants #qagi #artificialintelligence #chatbots #humansupport #systems

So, I came across these difficult mathematicians;

✓ Smirnov (no, nothing to do with Smirnoff the alcohol 😆) ~1940s

✓ Kolmogorov (he became a very important authority on Probability Theory during World War)~1930s

✓ Li-Chien (among Chinese to later pick up and advance A.K's ideas and theories)~1950s

Currently engrossed in difficult reading like [1][2][3] and more... Trying to wrap my head around their vital ideas. PhD work (without a supervisor). It is tough! So, wish me well...

#jwl #studygroup #research #rngs #oxford #acm #nuchwezi thanks!

----[REFERENCES]:

1. Cui, Elvis Han, Yihao Li, and Zhuang Liu. "The Kolmogorov-Smirnov Statistic Revisited." arXiv preprint arXiv:2503.11673 (2025).

2. Massey Jr, Frank J. "The Kolmogorov-Smirnov test for goodness of fit." Journal of the American statistical Association 46.253 (1951): 68-78.

3. Stephens, Michael A. "An appreciation of kolmogorov’s 1933 paper." Department of Statistics–Stanford University (1992).

❝But, Spirit of the Omniscient One guiding and supporting us, and despite having to do this important research on empty stomachs and sometimes sacrificing meals to purchase data and so download books and papers as well as keep research records well or educate the less privileged, I trust, deep down, we shall eventually accomplish the true worths of this hardwork, with or without the help of our in-the-know colleagues in UGANDA's public universities, the Ministry of Education or the Central Government. So Help us dear Lord. For God and My Country.❞

— Joseph Willrich Lutalo, still without his master's degree because of a school fees balance and no salary, but otherwise pushing on, serving Uganda and Mankind, as well as working towards his PhD under a very unfair and harsh society.

#memos #progress #research #nuchwezi

❝INVITING Business and early adopters, new customers too, of our most recommended software solution to help cleanup and tighten management of excellence and [academic] performance in our national education system (2026 and beyond...) long-term.❞

— H.B. President at Nuchwezi, Willrich J.L. talking of the amazing software solution and product for schools, NPSP, proven best fit for effective school management in today's era. You're invited to contact and support them in this very laudable, necessary undertaking since circa 2018 A.D: sales@nuchwezi.com, joewillrich@gmail.com (quicker route).

// THANKS --crew=|cvmacm.abc|

---[BRIEF BIO]:

The lead author, Patrick Neubauer is a researcher (sometimes referred to as a "research associate") affiliated with the Business Informatics Group at Vienna University of Technology (TU Wien), Austria. His work focuses on model-driven engineering, domain-specific languages (DSLs), and software modernization. He has contributed to projects like ARTIST, which aims to modernize legacy software for cloud environments[2]. He has published research on topics such as:
- XMLText, a framework for transforming XML Schema into Xtext-based editors[1].
- Automated modeling assistance, integrating heterogeneous information sources[3].
- Consistency-achieving model editors, improving software development workflows[3].

---[ABOUT PAPER]:

The core idea in this paper is to take an existing [syntactically problematic] Software Language such as the case of a machine-targeting XML-based/XML-Schema-based TOSCA (used in defining cloud deployments) and revamp it/create a mapping to it via a more human-friendly software language and syntax (also with better Language support tools) [1]. In this paper, the proposed method for making this happen is using a "bridge" technology that is aware of the original language structures (XML-aware), but also of more modern language aspects (Modelaware, Grammaraware,..), and particularly leverages XText editors and tools, these generated from XSDs of the target/original languages. A tool/framework for automating this transformation, XMLText, is likewise presented.


---[REFS]:

1. Neubauer, Patrick, Alexander Bergmayr, Tanja Mayerhofer, Javier Troya, and Manuel Wimmer. "XMLText: from XML schema to Xtext." In Proceedings of the 2015 ACM SIGPLAN International Conference on Software Language Engineering, pp. 71-76. 2015. URL: https://www.researchgate.net/profile/Patrick-Neubauer/publication/309099204_XMLText_from_XML_schema_to_xtext/links/59f353da458515547c205066/XMLText-from-XML-schema-to-xtext.pdf

2. https://conf.researchr.org/profile/gpce2015/patrickneubauer?citationMarker=43dcd9a7-70db-4a1f-b0ae-981daa162054

3. https://scholar.google.com/citations?user=J3vxsDQAAAAJ&hl=en


#review #notes #acm #sle #jwl #phd

PROPOSED DOCTORAL THESIS: A Theory of Entropy Sources and Random Number Generators

DPhil Computer Science, Oxford University, Joseph Willrich Lutalo

Uganda, we've formally applied to Oxford. It is an International Transaction. On behalf of Nuchwezi, and a sincere compassion for our country's global heritage and our place in the story of mankind, this transaction and correspondence has been made public. For God and My Country. 

Those interested or concerned, go read the manuscript.

---[REF]:

Lutalo, J. W. (2025). PROPOSED DOCTORAL THESIS: A Theory of Entropy Sources & Random Number Generators: DPhil Computer Science, Oxford University, Joseph Willrich Lutalo MSc. BSc. alumni Makerere University. Nuchwezi. https://doi.org/10.6084/m9.figshare.29209706

#physics #computing #platforms #entropy #intelligence #phds #jwl #thesissketch

OMG... So much happening, but grateful we have a holiday in the middle of the week 🙏 more sleep... Allowed 🤞😆

Also, note to self:

-> The Cwa Sorting algorithm concept did present itself much earlier on than recent work --- was among ideas conceived in early grad school circa 2019/2020.. but still remains merely in the notes and hasn't ever been fully developed or presented yet. Focus was on sorting things (numbers actually) in-place, in either descending or ascending order, and efficiently so.

-> The new sorting algorithm though (a recent development during work on Lu-Numbers, Lu-Base and RNGs, isn't that related to that earlier Cwa Sorting method; like, instead of sorting things in place, we can sort at a distance (or rather by indices), and instead of sorting in ascending or descending order, can sort order into chaos order! No, haven't given that algorithm a proper name yet... 

Haha till next time ✓

#jwl #phd #research #numbers #sorting

Godly Advisory[1] As We Prepare Ourselves Further For Whatever is to Come, Members of The Internet Party[2] (TIP):

The Spirit [of God] expressly says..

[Let us sufficiently prepare ourselves]

..bodily training is of some value, godliness is of value in every way...

[So, don't let yourselves fall into the trap of not being able to fight for your lives both in body and in spirit --- Let us empower ourselves both physically, in spirit and in all other ways necessary.]

[This] is trustworthy and deserving of full acceptance...

[Let us] have our hope set on the living God, who is the Savior ... especially of those who believe.

[So, no matter what, know, trust and believe that God is Alive at any moment, and is able to Take Necessary Action when Necessary]

[We are called upon to] Command and teach these things.

[So, dear Netizens, wherever you are, be the commanders and examples of the Change and Transformation we wish to see become manifest]

Let no one despise you for your youth, but set ...an example in speech, in conduct, in love, in faith, in purity.

[Be active]

Until I come...

[And meanwhile]

Do not neglect the [gifts and special abilities] you have..

[The Internet President has offered extensive advice in writing [1] and speech [2] concerning this, so ensure to consult/leverage that too]

Practice these things, devote yourself to them, so that [you attain] progress.

[Lastly]

Keep a close watch on yourself and on [this] teaching. Persist in this, for by so doing you will save both yourself and your [dear ones].

[A certain, undeniable victory is Ours, but we surely ought take action so as to earn and keep it]


----[REFERENCES]:

1. 1 Timothy, Chapter 4.

2. May 2025, Internet President Call to Prepare Ourselves [in writing]: https://bit.ly/ipspeechprepcall

3. The Original IP Call in Full, as a Speech: https://youtu.be/A2B27xCCf1Y


#advisory #globalinternetparty #theinternetparty #uic #message #jwl #official #speeches