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’‘
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...

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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.
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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).
Blackboard Computing Adventures πŸ’‘
Yup yup πŸ€­πŸ˜† I'm telling you... Base Calculus is so crazy!! We must rethink numbers starting now πŸ™ˆ #basecalculus #modernmaths #symbolsets just madness!!!
And then, think, if you might, what happens if, instead of attempting to visualize such NE or number sequences as the interesting n-SSI & o-SSIs using the calculator keypad method (a 3Γ—3 matrix), we instead use a traditional numberline (also, because, some calculators and computers do have their numerical pads as a linear sequence of digits instead of a matrix). Compare this way of visually analyzing the o-SSIs to the method of the matrix shown in the original o-SSI paper. Do you see any interesting or exciting patterns yet?*

--- JWL, author of The o-SSI Paper

The Original Paper using the matrix visual analysis method on the o-SSIs: https://bit.ly/ossipaper

*NOTE: Feedback & ideas most welcome 🀞
JWL // literature
The_Symbol_Set_Identity_paper_Joseph_Willrich_Lutalo_25APR2025.pdf
Here's the o-SSI Paper Preprints.org Citation Info:

Lutalo, J. (2025). Concerning A Special Summation That Preserves The Base-10 Orthogonal Symbol Set Identity In Both Addends and The Sum. Preprints. https://doi.org/10.20944/preprints202504.2402.v1

@article{202504.2402,
doi = {10.20944/preprints202504.2402.v1},
url = {https://doi.org/10.20944/preprints202504.2402.v1},
year = 2025,
month = {April},
publisher = {Preprints},
author = {Joseph Lutalo},
title = {Concerning A Special Summation That Preserves The Base-10 Orthogonal Symbol Set Identity In Both Addends and The Sum},
journal = {Preprints}
}
Blackboard Computing Adventures πŸ’‘
Such a well spent day... Mostly studying an entertaining advanced CS paper: Bikos, Anastasios, Panagiotis E. Nastou, Georgios Petroudis, and Yannis C. Stamatiou. "Random number generators: Principles and applications." Cryptography 7, no. 4 (2023): 54. h…
Not yet finished reading that very epic paper on RNGs (Anastasios Bikos et al, 2023). Currently done with reviewing it up to just page 4 (out of 30!). Did look up some of the referenced works too.. especially the NIST paper on RBGs (2018). I trust, we are making progress, and the Holy Grail is starting to appear near the horizon!

#research #rngs #jwl #phd #wip
βš™οΈβœ¨βœ¨ MEANWHILE...
Meanwhile, the economy* compelled us to momentarily dive into an economics lecture...

(( refer to attached screenshots ))

*All reported price updates take immediate effect in our local economy.
πŸ€žπŸ˜–

Thanks | MANAGEMENT | Department of Finance & Shop Keepings
Blackboard Computing Adventures πŸ’‘
Photo
Meanwhile, talking of making progress with mathematical research.. Lately I have made a habit of waking up to test myself on important Mathematical Facts.

Of course, my current focus is on preparing for that RNG paper and the theory I'm steadily building from scratch... It concerns numbers, and not just any numbers! 🀭

So, I'm currently in bed with some (now 5) important mathematical and natural constants, and can write those numbers down even if you wake me up in thee middle of the night!!

πŸ€žπŸ˜πŸ˜– #research #randomnumbers #numbertheory #natural #constants #jwl #phd #computerscience and beyond...