Blackboard Computing Adventures πŸ’‘
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Welcome to BCA ⚑⚑ our Virtual Learning Space. Mostly Blackboard snapshots, sometimes with explanatory/exploratory and analytical notes. Open teaching efforts by Fut. Prof. JWL at his BC gate on 1st Cwa Road and HQ research dissemination.
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Blackboard Computing Adventures πŸ’‘
INVITING early readers, reviewers, fellow researchers, academicians, scholars, students & especially the mathematical society, to read, review & apply the important ideas put forward in [Fut. Prof.] JWL's paper on the mathematics of symbol sets: http://bit.ly/ossipaper
Meanwhile, despite being an early, still unverified observation, seems like the exciting, output base-10 o-SSI number might actually hint at some seemingly queer, but explainable pattern given the somewhat intriguing sequence of digits in the number when looking at that number generation/permutation image: 

[8 > 6 > 4] > [9 > 1 > 3 > 7 > 5] > 2

I'll get to look deeper into this in times to come..

--- Joseph W. Lutalo, author of the paper.
JWL // literature
The_Symbol_Set_Identity_paper_Joseph_Willrich_Lutalo_25APR2025.pdf
## WHY U Should Read JWL's SSI Paper:

https://bit.ly/ossipaper

Among Important Take-aways after reading that paper:

βœ“ Binary numbers are decimal too (Theorem 2)

βœ“ The basify (b:) & uniqueify(u:) TEA language commands have real mathematical relevance (Section 4) (REF[5]: https://bit.ly/tazfile)

βœ“ Among unusual bases (like base-0 & base-1), there's a genuine purpose for base-∞ (Theorem 1)

βœ“ The calculator keypad is indeed a terrific place for discovering interesting hidden mathematical truths! (Section 5.1)

βœ“ You definitely want to read a mathematician's novel too!
Blackboard Computing Adventures πŸ’‘
Photo
There's some interesting modern #settheory mathematics in that paper too!
Forwarded from UGANDA
26 APRIL, 2025: MOMENTS with [Fut. Prof.] JWL

https://youtu.be/Z4w0zW-vw8w?

HIGHLIGHTS in This Talk:

βœ“ APRIL 2025, published his 2nd novel: ROCK 'N' DRAW
βœ“ On 25th, released new mathematical theory concerning Symbol Sets & Bases
βœ“ The 2020 work on GTNC has been advanced by 2 more papers now
βœ“ Experiencing Hardships: no funding, no peers, no academic affiliation, kids have no school fees & have only a meager salary from private Nuchwezi
βœ“ Cooking with firewood, eating 1 meal a day, lonely, in a world so full of opportunities and people!

GOD help us all. For God and My Country.

#jwl #nuchwezi #communitysupport #updates #research #talkshow
UGANDA
Video
Joseph, of Blackboard Adventures, giving a talk on 26 APRIL, 2025.
Blackboard Computing Adventures πŸ’‘
Also, please get us jobs & some [paid] work πŸ™ #uganda #productive #youngadults
While looking at the future of the GTNC and its applications across mathematics, in physics, computer science and beyond...

β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’|
The Inverted Pi might become the official Cardinality Sym. Otherwise,
we might have to deal with
maths like...

𐎜(Οƒ+Ο‰) ≀ ⌈𐎜(Οƒ,Ο‰)βŒ‰ + 1
iff Οƒ,Ο‰ ∈ {β²—.β²—* | β²— ∈ ψ:Ξ²} ∧ β∈𝜨


--- JWL, inventor of the GTNC theory.
β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’|

Those interested, perhaps work backwards from the most recent paper and results: https://bit.ly/ossipaper

Something truly terrific is in the works! And we can't certainly #shutup πŸ™ˆβš‘πŸ˜„πŸ™Œ

#gtnc #symbolsets #numbertheory #jwl #nuchwezi #modernmaths #basecalculus
Blackboard Computing Adventures πŸ’‘
While looking at the future of the GTNC and its applications across mathematics, in physics, computer science and beyond... β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’β€’| The Inverted Pi might become the official Cardinality Sym. Otherwise, we might have to deal with maths…
A JWL Mini-Lecture: Introducing A New BASE CALCULUS: Theory & Applications of Arbitrary Symbol Sets

https://youtu.be/Q14rhTaFlXs?

πŸ‘†πŸΌπŸ”† Delivered on 28 April, 2025, this Mini-Lecture, a continuation of Internet Community Blackboard Adventures by Fut. Prof. JWL, briefly presents an interesting application of the recently furthered theory concerning symbol sets and the GTNC. Essentially, we get to see how, even for arbitrary or rather esoteric number systems such as numbers that use neither the Latin Number System nor the more typical Arabic Number System, we still can treat of such strange numbers using the GTNC mechanics, logic and notation, to quantify their properties, analyze them and more.

It is recommended to read JWL's recent paper so as to properly make sense of what's going on here: https://bit.ly/ossipaper

#numbersystems #cryptography #informationsecurity #bases #gtnc #symbolsets #numbercardinality #newmathematics #profjwl
JWL // literature
The_Symbol_Set_Identity_paper_Joseph_Willrich_Lutalo_25APR2025.pdf
Accessible on Google Scholar now. Also with full BiBTeX as such:

@article{lutalo2025concerning,
title={Concerning A Special Summation That Preserves The Base-10 Orthogonal Symbol Set Identity In Both Addends And The Sum},
author={Lutalo, Joseph Willrich},
year={2025},
doi={10.6084/m9.figshare.28869755}, % Replace with the actual DOI if available url={https://doi.org/10.6084/m9.figshare.28869755},
note={Available at: [PDF](https://www.academia.edu/129011333/Concerning_A_Special_Summation_That_Preserves_The_Base_10_Orthogonal_Symbol_Set_Identity_In_Both_Addends_And_The_Sum)}
}
πŸ‘1
Blackboard Computing Adventures πŸ’‘
Video
FIRST QUEER CONSEQUENCES OF THE lu-BASE CALCULUS

-Γ—--------Γ—-Γ—--------Γ—-Γ—--------Γ—-Γ—--------Γ—-Γ—-

Talking of the first consequences of the new Lu Base Calculus --- summing we refer to the proposed body of base-algebra and symbol set logic[2] from Joseph Willrich Lutalo as such.

We find that by first taking a leap of faith and closing our eyes to what magnitudes we normally assign common symbols or digits in the typically, conventional Arabic Number symbol set for base-10 (the digits 0-9), instead, using the meaningful Base Calculus idea of determining a digit's value or cardinal magnitude based on its position within the ordered symbol set of the base to which it belongs[1] (meaning, assuming we were to redefine the base-10 symbol set with its usual digits ordered differently not as they conventionally are), we essentially would have to rethink the meaning not just of individual digits, but any multi-digit number such as 894! This new mathematics might surely end up disrupting all conventional mathematics and science! And there might be a need to rewrite the foundational philosophy of most mathematics.

---[REFERENCES]:

1. Joseph Willrich Lutalo. Numbers from arbitrary text: Mapping human readable text to numbers in base-36. Academia.edu, 2024. Accessible via https://www.academia.edu/123296302/Numbers_from_Arbitrary_ Text_Mapping_Human_Readable_Text_to_Numbers_in_Base_36.

2. Lutalo, Joseph Willrich. "Concerning A Special Summation That Preserves The Base-10 Orthogonal Symbol Set Identity In Both Addends And The Sum." (2025).