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)}
}

FIRST QUEER CONSEQUENCES OF THE lu-BASE CALCULUS

-×--------×-×--------×-×--------×-×--------×-×-

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).

Yup yup 🤭😆 I'm telling you... Base Calculus is so crazy!! We must rethink numbers starting now 🙈

#basecalculus #modernmaths #symbolsets just madness!!!

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}
}

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

⚙️✨✨ MEANWHILE...

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!!

🤞😁😖 #research #randomnumbers #numbertheory #natural #constants #jwl #phd #computerscience and beyond...

In Creative Lectures and Adventures... 👇🏻👇🏻🙄🔱

## MOMENTS With ARCH L | Hip Hop Lesson: RAP & Produce BEATS too!

[V] https://youtube.com/shorts/Ub-Hw_ikIOk

In a brief interaction with Ugandan Underground Hip Hop Emcee, ARCH L, we get some tips from him concerning how to really get deep into Underground Hip Hop (lesson to young ones especially); Learn Hip Hop; listen to the music, keep records in sound and in writing; learn to rap or rather how to emcee, but also learn how to produce or make your own original Hip Hop beats ⚡🔱🎙️

-----[The Arch-L Hip Hop Production Lecture Notes]:

💎🪙💸🔶💠🪙💸🔶💠🪙💸🔶💠


Talking of which, the beat used in this brief educational video was the first of its kind that I ever made on-the-fly and purely just using the mobile phone even though it might sound cool and perhaps too professional for some newcomers!

I had first attempted to upload the video with an already made Hip Hop instrumental ("Dreams" by The Game) that I had downloaded from the Internet previously --- many video creators on the modern Internet via TikTok, WhatsApp, YouTube and other playoffs platforms generally do this; they record their own video or voices, and then just mix them with someone else's beat, especially because it's simpler to do and many internet softwares and apps encourage or support it.

But, upon uploading the first video to YouTube, it was flagged as having copyrighted material and was tagged as "invisible worldwide" -- meaning people wouldn't be allowed to view it. I was advised to re-upload without the Copyrighted soundtrack or none at all. At that moment, panicking as I didn't want to waste time and didn't want to go make a beat via the desktop PC (from where I normally make such Hip Hop tracks from say Fruity Loops Studio software),

I decided to consult my Copilot Artificial Personal Assistant for simple apps useful in producing hip hop beats via the phone. Among software it recommended was an app called "BandLab". I downloaded it and immediately started trying to make a beat with it. I was low on data, and so couldn't use it properly in offline mode; for example, couldn't just download preset instruments, beat loops or pads for use in composing an original instrumental quickly/simply, and so, after noticing it had the option to allow turning "any" sound sample into an instrument, I then decided to create some original sounds of mine using ordinary stuff lying around... hitting metal objects to produce snares, throwing pieces of glass against each other to make interesting effects and rubbing my hand over some rough surfaces... (not use of real drums or musical instruments even though I had them back in the house). So, all these I recorded using normal phone microphone and the phone's sound recording tool.

There after, I tried to import those improvised sounds into the BandLab Software so I can make the beat. But, being a first time user of the tool, I noticed progress was very slow and there was still much to learn yet I had little time, and so, having noticed/quickly recalled the basic ideas behind such beat-making;

- envision a kind of soundtrack you wish to make and especially how its drums shall sound like --- the "rythm" of the beat. For Hip Hop, that typically means a 4-4 or 4/4 pattern, but others might also use the "Amen-break" pattern that's slightly faster. Essentially, you have a leading drum hit, some responding snares and/ot hi-hats or cymbals and then a background sound or perhaps a pad to support these, and then merely looping these, with some few variations of these later-on, to make the beat not so monotonous across its entirety).

- use available things (kitchen implements, pieces of rocks, your hands, mouth sounds, background noises, live music instruments, etc) to record short sound clips that shall serve as the starting materials to make important components of the beat.

- Import these into the software where the beat is to be made from; cutting, mixing, fading or cross-fading them where necessary, throwing in effects or not, and most importantly, creatively spacing them apart across time/the soundtrack, so that finally, a drum pattern is created that someone can rap to and which is preferably easy to dance-to/nod-to as well. That becomes the baseline of the (Hip Hop) song.

- Then record some musical instrument that produces a [sweet/catchy] melody; like a guitar, piano, fiddle, a whistle, a melodious sound effect from nature e.g a bird's song, or some creative noise from anything... That shall become the background behind the drum/percussion baseline we made earlier. In my case for example, I usually make my own melodies using a piano keyboard as part of the band MAZERA, so, for this project, I just used/sampled one of those old sounds from MAZERA piano recordings.

- Layer and mix the two; the percussion baseline and the melody bits, adjusting their relative volumes so as to properly balance the melody against the drums (in some beats, the drums must be louder than the melody, in others, the reverse, and then others perhaps both have equal energy). That becomes the song's instrumental or rather beat.

- Finally, record the actual performance of the song's lyrics and/or video, and place the finished instrumental (perhaps first saved separately and then merely imported into the song making project/software) as background in the song project.

- With proper care given to the start (introduction/intro) and end (outro) of the song you're producing; for example, by removing some of the instruments and sounds used in the rest of the song from those parts/sections, so as to make the start and end simpler and different from the rest of the song; then the final song is somewhat fully made and is ready!

I then went ahead to quickly produce and then package the underground Hip Hop (perhaps even DnB-like) beat that you hear supporting the video lecture on Hip Hop that's linked to. I used the on-mobile video production software, YouCut --- which I generally already know well/better than the still unfamiliar BandLab mobile app.

I listened to and watched the final product and it was convincing enough even though definitely so much improvisational and that it could use further improvements -- but there was no time! Re-uploaded this to YouTube and it was well received and accepted as a copyrights-free video & sound product.

Thus original modern music can be made using just a smartphone, nature and your own creativity!

#hiphop #archl #lessons #hiphopculture #essentials #emceeing #beatmaking the #underground art of #music #production

---[TITLE]:

MOMENTS With ARCH L | Hip Hop Lesson: RAP and Produce BEATS too!

---[SYNOPSIS]:

In this paper, inspired by a mini-lecture to youngsters about Hip Hop , we bring together the important thoughts and recommendations made by a seasoned and experienced listener, performer, producer and deejay of Underground Hip Hop-the person of Joseph Willrich Lutalo, also known by their various monikers and branding handles such as "Nemesis Fixx", "Arch L", "DJ Pluto", "BATEMBUZYI", "MAZERA" etc. across various different styles of creative musical projects by the Nuchwezi Media Lab (NML). Especially, we learn some important facts concerning the creative process of producing an original Underground Hip Hop work such as a beat/instrumental, song or music video via improvisation, use of readily accessible modern software, as well as use of a basic [smart] mobile phone and some creativity with nature.